User:R-a-jones: Difference between revisions
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| [[Linear representation theory of groups of order 601|601]] || [[Linear representation theory of groups of order 602|602]] || [[Linear representation theory of groups of order 603|603]] || [[Linear representation theory of groups of order 604|604]] || [[Linear representation theory of groups of order 605|605]] || [[Linear representation theory of groups of order 606|606]] || [[Linear representation theory of groups of order 607|607]] || [[Linear representation theory of groups of order 608|608]] || [[Linear representation theory of groups of order 609|609]] || [[Linear representation theory of groups of order 610|610]] || [[Linear representation theory of groups of order 611|611]] || [[Linear representation theory of groups of order 612|612]] || [[Linear representation theory of groups of order 613|613]] || [[Linear representation theory of groups of order 614|614]] || [[Linear representation theory of groups of order 615|615]] || [[Linear representation theory of groups of order 616|616]] || [[Linear representation theory of groups of order 617|617]] || [[Linear representation theory of groups of order 618|618]] || [[Linear representation theory of groups of order 619|619]] || [[Linear representation theory of groups of order 620|620]] || [[Linear representation theory of groups of order 621|621]] || [[Linear representation theory of groups of order 622|622]] || [[Linear representation theory of groups of order 623|623]] || [[Linear representation theory of groups of order 624|624]] || [[Linear representation theory of groups of order 625|625]] | | [[Linear representation theory of groups of order 601|601]] || [[Linear representation theory of groups of order 602|602]] || [[Linear representation theory of groups of order 603|603]] || [[Linear representation theory of groups of order 604|604]] || [[Linear representation theory of groups of order 605|605]] || [[Linear representation theory of groups of order 606|606]] || [[Linear representation theory of groups of order 607|607]] || [[Linear representation theory of groups of order 608|608]] || [[Linear representation theory of groups of order 609|609]] || [[Linear representation theory of groups of order 610|610]] || [[Linear representation theory of groups of order 611|611]] || [[Linear representation theory of groups of order 612|612]] || [[Linear representation theory of groups of order 613|613]] || [[Linear representation theory of groups of order 614|614]] || [[Linear representation theory of groups of order 615|615]] || [[Linear representation theory of groups of order 616|616]] || [[Linear representation theory of groups of order 617|617]] || [[Linear representation theory of groups of order 618|618]] || [[Linear representation theory of groups of order 619|619]] || [[Linear representation theory of groups of order 620|620]] || [[Linear representation theory of groups of order 621|621]] || [[Linear representation theory of groups of order 622|622]] || [[Linear representation theory of groups of order 623|623]] || [[Linear representation theory of groups of order 624|624]] || [[Linear representation theory of groups of order 625|625]] | ||
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== Subgroup structure of groups of small orders== | |||
{| class="sortable" | |||
| [[ Subgroup structure of groups of order 1|1]] || [[ Subgroup structure of groups of order 2|2]] || [[ Subgroup structure of groups of order 3|3]] || [[ Subgroup structure of groups of order 4|4]] || [[ Subgroup structure of groups of order 5|5]] || [[ Subgroup structure of groups of order 6|6]] || [[ Subgroup structure of groups of order 7|7]] || [[ Subgroup structure of groups of order 8|8]] || [[ Subgroup structure of groups of order 9|9]] || [[ Subgroup structure of groups of order 10|10]] || [[ Subgroup structure of groups of order 11|11]] || [[ Subgroup structure of groups of order 12|12]] || [[ Subgroup structure of groups of order 13|13]] || [[ Subgroup structure of groups of order 14|14]] || [[ Subgroup structure of groups of order 15|15]] || [[ Subgroup structure of groups of order 16|16]] || [[ Subgroup structure of groups of order 17|17]] || [[ Subgroup structure of groups of order 18|18]] || [[ Subgroup structure of groups of order 19|19]] || [[ Subgroup structure of groups of order 20|20]] || [[ Subgroup structure of groups of order 21|21]] || [[ Subgroup structure of groups of order 22|22]] || [[ Subgroup structure of groups of order 23|23]] || [[ Subgroup structure of groups of order 24|24]] || [[ Subgroup structure of groups of order 25|25]] | |||
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| [[ Subgroup structure of groups of order 26|26]] || [[ Subgroup structure of groups of order 27|27]] || [[ Subgroup structure of groups of order 28|28]] || [[ Subgroup structure of groups of order 29|29]] || [[ Subgroup structure of groups of order 30|30]] || [[ Subgroup structure of groups of order 31|31]] || [[ Subgroup structure of groups of order 32|32]] || [[ Subgroup structure of groups of order 33|33]] || [[ Subgroup structure of groups of order 34|34]] || [[ Subgroup structure of groups of order 35|35]] || [[ Subgroup structure of groups of order 36|36]] || [[ Subgroup structure of groups of order 37|37]] || [[ Subgroup structure of groups of order 38|38]] || [[ Subgroup structure of groups of order 39|39]] || [[ Subgroup structure of groups of order 40|40]] || [[ Subgroup structure of groups of order 41|41]] || [[ Subgroup structure of groups of order 42|42]] || [[ Subgroup structure of groups of order 43|43]] || [[ Subgroup structure of groups of order 44|44]] || [[ Subgroup structure of groups of order 45|45]] || [[ Subgroup structure of groups of order 46|46]] || [[ Subgroup structure of groups of order 47|47]] || [[ Subgroup structure of groups of order 48|48]] || [[ Subgroup structure of groups of order 49|49]] || [[ Subgroup structure of groups of order 50|50]] | |||
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| [[ Subgroup structure of groups of order 51|51]] || [[ Subgroup structure of groups of order 52|52]] || [[ Subgroup structure of groups of order 53|53]] || [[ Subgroup structure of groups of order 54|54]] || [[ Subgroup structure of groups of order 55|55]] || [[ Subgroup structure of groups of order 56|56]] || [[ Subgroup structure of groups of order 57|57]] || [[ Subgroup structure of groups of order 58|58]] || [[ Subgroup structure of groups of order 59|59]] || [[ Subgroup structure of groups of order 60|60]] || [[ Subgroup structure of groups of order 61|61]] || [[ Subgroup structure of groups of order 62|62]] || [[ Subgroup structure of groups of order 63|63]] || [[ Subgroup structure of groups of order 64|64]] || [[ Subgroup structure of groups of order 65|65]] || [[ Subgroup structure of groups of order 66|66]] || [[ Subgroup structure of groups of order 67|67]] || [[ Subgroup structure of groups of order 68|68]] || [[ Subgroup structure of groups of order 69|69]] || [[ Subgroup structure of groups of order 70|70]] || [[ Subgroup structure of groups of order 71|71]] || [[ Subgroup structure of groups of order 72|72]] || [[ Subgroup structure of groups of order 73|73]] || [[ Subgroup structure of groups of order 74|74]] || [[ Subgroup structure of groups of order 75|75]] | |||
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| [[ Subgroup structure of groups of order 76|76]] || [[ Subgroup structure of groups of order 77|77]] || [[ Subgroup structure of groups of order 78|78]] || [[ Subgroup structure of groups of order 79|79]] || [[ Subgroup structure of groups of order 80|80]] || [[ Subgroup structure of groups of order 81|81]] || [[ Subgroup structure of groups of order 82|82]] || [[ Subgroup structure of groups of order 83|83]] || [[ Subgroup structure of groups of order 84|84]] || [[ Subgroup structure of groups of order 85|85]] || [[ Subgroup structure of groups of order 86|86]] || [[ Subgroup structure of groups of order 87|87]] || [[ Subgroup structure of groups of order 88|88]] || [[ Subgroup structure of groups of order 89|89]] || [[ Subgroup structure of groups of order 90|90]] || [[ Subgroup structure of groups of order 91|91]] || [[ Subgroup structure of groups of order 92|92]] || [[ Subgroup structure of groups of order 93|93]] || [[ Subgroup structure of groups of order 94|94]] || [[ Subgroup structure of groups of order 95|95]] || [[ Subgroup structure of groups of order 96|96]] || [[ Subgroup structure of groups of order 97|97]] || [[ Subgroup structure of groups of order 98|98]] || [[ Subgroup structure of groups of order 99|99]] || [[ Subgroup structure of groups of order 100|100]] | |||
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| [[ Subgroup structure of groups of order 101|101]] || [[ Subgroup structure of groups of order 102|102]] || [[ Subgroup structure of groups of order 103|103]] || [[ Subgroup structure of groups of order 104|104]] || [[ Subgroup structure of groups of order 105|105]] || [[ Subgroup structure of groups of order 106|106]] || [[ Subgroup structure of groups of order 107|107]] || [[ Subgroup structure of groups of order 108|108]] || [[ Subgroup structure of groups of order 109|109]] || [[ Subgroup structure of groups of order 110|110]] || [[ Subgroup structure of groups of order 111|111]] || [[ Subgroup structure of groups of order 112|112]] || [[ Subgroup structure of groups of order 113|113]] || [[ Subgroup structure of groups of order 114|114]] || [[ Subgroup structure of groups of order 115|115]] || [[ Subgroup structure of groups of order 116|116]] || [[ Subgroup structure of groups of order 117|117]] || [[ Subgroup structure of groups of order 118|118]] || [[ Subgroup structure of groups of order 119|119]] || [[ Subgroup structure of groups of order 120|120]] || [[ Subgroup structure of groups of order 121|121]] || [[ Subgroup structure of groups of order 122|122]] || [[ Subgroup structure of groups of order 123|123]] || [[ Subgroup structure of groups of order 124|124]] || [[ Subgroup structure of groups of order 125|125]] | |||
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| [[ Subgroup structure of groups of order 126|126]] || [[ Subgroup structure of groups of order 127|127]] || [[ Subgroup structure of groups of order 128|128]] || [[ Subgroup structure of groups of order 129|129]] || [[ Subgroup structure of groups of order 130|130]] || [[ Subgroup structure of groups of order 131|131]] || [[ Subgroup structure of groups of order 132|132]] || [[ Subgroup structure of groups of order 133|133]] || [[ Subgroup structure of groups of order 134|134]] || [[ Subgroup structure of groups of order 135|135]] || [[ Subgroup structure of groups of order 136|136]] || [[ Subgroup structure of groups of order 137|137]] || [[ Subgroup structure of groups of order 138|138]] || [[ Subgroup structure of groups of order 139|139]] || [[ Subgroup structure of groups of order 140|140]] || [[ Subgroup structure of groups of order 141|141]] || [[ Subgroup structure of groups of order 142|142]] || [[ Subgroup structure of groups of order 143|143]] || [[ Subgroup structure of groups of order 144|144]] || [[ Subgroup structure of groups of order 145|145]] || [[ Subgroup structure of groups of order 146|146]] || [[ Subgroup structure of groups of order 147|147]] || [[ Subgroup structure of groups of order 148|148]] || [[ Subgroup structure of groups of order 149|149]] || [[ Subgroup structure of groups of order 150|150]] | |||
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| [[ Subgroup structure of groups of order 151|151]] || [[ Subgroup structure of groups of order 152|152]] || [[ Subgroup structure of groups of order 153|153]] || [[ Subgroup structure of groups of order 154|154]] || [[ Subgroup structure of groups of order 155|155]] || [[ Subgroup structure of groups of order 156|156]] || [[ Subgroup structure of groups of order 157|157]] || [[ Subgroup structure of groups of order 158|158]] || [[ Subgroup structure of groups of order 159|159]] || [[ Subgroup structure of groups of order 160|160]] || [[ Subgroup structure of groups of order 161|161]] || [[ Subgroup structure of groups of order 162|162]] || [[ Subgroup structure of groups of order 163|163]] || [[ Subgroup structure of groups of order 164|164]] || [[ Subgroup structure of groups of order 165|165]] || [[ Subgroup structure of groups of order 166|166]] || [[ Subgroup structure of groups of order 167|167]] || [[ Subgroup structure of groups of order 168|168]] || [[ Subgroup structure of groups of order 169|169]] || [[ Subgroup structure of groups of order 170|170]] || [[ Subgroup structure of groups of order 171|171]] || [[ Subgroup structure of groups of order 172|172]] || [[ Subgroup structure of groups of order 173|173]] || [[ Subgroup structure of groups of order 174|174]] || [[ Subgroup structure of groups of order 175|175]] | |||
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| [[ Subgroup structure of groups of order 176|176]] || [[ Subgroup structure of groups of order 177|177]] || [[ Subgroup structure of groups of order 178|178]] || [[ Subgroup structure of groups of order 179|179]] || [[ Subgroup structure of groups of order 180|180]] || [[ Subgroup structure of groups of order 181|181]] || [[ Subgroup structure of groups of order 182|182]] || [[ Subgroup structure of groups of order 183|183]] || [[ Subgroup structure of groups of order 184|184]] || [[ Subgroup structure of groups of order 185|185]] || [[ Subgroup structure of groups of order 186|186]] || [[ Subgroup structure of groups of order 187|187]] || [[ Subgroup structure of groups of order 188|188]] || [[ Subgroup structure of groups of order 189|189]] || [[ Subgroup structure of groups of order 190|190]] || [[ Subgroup structure of groups of order 191|191]] || [[ Subgroup structure of groups of order 192|192]] || [[ Subgroup structure of groups of order 193|193]] || [[ Subgroup structure of groups of order 194|194]] || [[ Subgroup structure of groups of order 195|195]] || [[ Subgroup structure of groups of order 196|196]] || [[ Subgroup structure of groups of order 197|197]] || [[ Subgroup structure of groups of order 198|198]] || [[ Subgroup structure of groups of order 199|199]] || [[ Subgroup structure of groups of order 200|200]] | |||
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| [[ Subgroup structure of groups of order 201|201]] || [[ Subgroup structure of groups of order 202|202]] || [[ Subgroup structure of groups of order 203|203]] || [[ Subgroup structure of groups of order 204|204]] || [[ Subgroup structure of groups of order 205|205]] || [[ Subgroup structure of groups of order 206|206]] || [[ Subgroup structure of groups of order 207|207]] || [[ Subgroup structure of groups of order 208|208]] || [[ Subgroup structure of groups of order 209|209]] || [[ Subgroup structure of groups of order 210|210]] || [[ Subgroup structure of groups of order 211|211]] || [[ Subgroup structure of groups of order 212|212]] || [[ Subgroup structure of groups of order 213|213]] || [[ Subgroup structure of groups of order 214|214]] || [[ Subgroup structure of groups of order 215|215]] || [[ Subgroup structure of groups of order 216|216]] || [[ Subgroup structure of groups of order 217|217]] || [[ Subgroup structure of groups of order 218|218]] || [[ Subgroup structure of groups of order 219|219]] || [[ Subgroup structure of groups of order 220|220]] || [[ Subgroup structure of groups of order 221|221]] || [[ Subgroup structure of groups of order 222|222]] || [[ Subgroup structure of groups of order 223|223]] || [[ Subgroup structure of groups of order 224|224]] || [[ Subgroup structure of groups of order 225|225]] | |||
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| [[ Subgroup structure of groups of order 226|226]] || [[ Subgroup structure of groups of order 227|227]] || [[ Subgroup structure of groups of order 228|228]] || [[ Subgroup structure of groups of order 229|229]] || [[ Subgroup structure of groups of order 230|230]] || [[ Subgroup structure of groups of order 231|231]] || [[ Subgroup structure of groups of order 232|232]] || [[ Subgroup structure of groups of order 233|233]] || [[ Subgroup structure of groups of order 234|234]] || [[ Subgroup structure of groups of order 235|235]] || [[ Subgroup structure of groups of order 236|236]] || [[ Subgroup structure of groups of order 237|237]] || [[ Subgroup structure of groups of order 238|238]] || [[ Subgroup structure of groups of order 239|239]] || [[ Subgroup structure of groups of order 240|240]] || [[ Subgroup structure of groups of order 241|241]] || [[ Subgroup structure of groups of order 242|242]] || [[ Subgroup structure of groups of order 243|243]] || [[ Subgroup structure of groups of order 244|244]] || [[ Subgroup structure of groups of order 245|245]] || [[ Subgroup structure of groups of order 246|246]] || [[ Subgroup structure of groups of order 247|247]] || [[ Subgroup structure of groups of order 248|248]] || [[ Subgroup structure of groups of order 249|249]] || [[ Subgroup structure of groups of order 250|250]] | |||
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| [[ Subgroup structure of groups of order 251|251]] || [[ Subgroup structure of groups of order 252|252]] || [[ Subgroup structure of groups of order 253|253]] || [[ Subgroup structure of groups of order 254|254]] || [[ Subgroup structure of groups of order 255|255]] || [[ Subgroup structure of groups of order 256|256]] || [[ Subgroup structure of groups of order 257|257]] || [[ Subgroup structure of groups of order 258|258]] || [[ Subgroup structure of groups of order 259|259]] || [[ Subgroup structure of groups of order 260|260]] || [[ Subgroup structure of groups of order 261|261]] || [[ Subgroup structure of groups of order 262|262]] || [[ Subgroup structure of groups of order 263|263]] || [[ Subgroup structure of groups of order 264|264]] || [[ Subgroup structure of groups of order 265|265]] || [[ Subgroup structure of groups of order 266|266]] || [[ Subgroup structure of groups of order 267|267]] || [[ Subgroup structure of groups of order 268|268]] || [[ Subgroup structure of groups of order 269|269]] || [[ Subgroup structure of groups of order 270|270]] || [[ Subgroup structure of groups of order 271|271]] || [[ Subgroup structure of groups of order 272|272]] || [[ Subgroup structure of groups of order 273|273]] || [[ Subgroup structure of groups of order 274|274]] || [[ Subgroup structure of groups of order 275|275]] | |||
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| [[ Subgroup structure of groups of order 276|276]] || [[ Subgroup structure of groups of order 277|277]] || [[ Subgroup structure of groups of order 278|278]] || [[ Subgroup structure of groups of order 279|279]] || [[ Subgroup structure of groups of order 280|280]] || [[ Subgroup structure of groups of order 281|281]] || [[ Subgroup structure of groups of order 282|282]] || [[ Subgroup structure of groups of order 283|283]] || [[ Subgroup structure of groups of order 284|284]] || [[ Subgroup structure of groups of order 285|285]] || [[ Subgroup structure of groups of order 286|286]] || [[ Subgroup structure of groups of order 287|287]] || [[ Subgroup structure of groups of order 288|288]] || [[ Subgroup structure of groups of order 289|289]] || [[ Subgroup structure of groups of order 290|290]] || [[ Subgroup structure of groups of order 291|291]] || [[ Subgroup structure of groups of order 292|292]] || [[ Subgroup structure of groups of order 293|293]] || [[ Subgroup structure of groups of order 294|294]] || [[ Subgroup structure of groups of order 295|295]] || [[ Subgroup structure of groups of order 296|296]] || [[ Subgroup structure of groups of order 297|297]] || [[ Subgroup structure of groups of order 298|298]] || [[ Subgroup structure of groups of order 299|299]] || [[ Subgroup structure of groups of order 300|300]] | |||
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| [[ Subgroup structure of groups of order 301|301]] || [[ Subgroup structure of groups of order 302|302]] || [[ Subgroup structure of groups of order 303|303]] || [[ Subgroup structure of groups of order 304|304]] || [[ Subgroup structure of groups of order 305|305]] || [[ Subgroup structure of groups of order 306|306]] || [[ Subgroup structure of groups of order 307|307]] || [[ Subgroup structure of groups of order 308|308]] || [[ Subgroup structure of groups of order 309|309]] || [[ Subgroup structure of groups of order 310|310]] || [[ Subgroup structure of groups of order 311|311]] || [[ Subgroup structure of groups of order 312|312]] || [[ Subgroup structure of groups of order 313|313]] || [[ Subgroup structure of groups of order 314|314]] || [[ Subgroup structure of groups of order 315|315]] || [[ Subgroup structure of groups of order 316|316]] || [[ Subgroup structure of groups of order 317|317]] || [[ Subgroup structure of groups of order 318|318]] || [[ Subgroup structure of groups of order 319|319]] || [[ Subgroup structure of groups of order 320|320]] || [[ Subgroup structure of groups of order 321|321]] || [[ Subgroup structure of groups of order 322|322]] || [[ Subgroup structure of groups of order 323|323]] || [[ Subgroup structure of groups of order 324|324]] || [[ Subgroup structure of groups of order 325|325]] | |||
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| [[ Subgroup structure of groups of order 326|326]] || [[ Subgroup structure of groups of order 327|327]] || [[ Subgroup structure of groups of order 328|328]] || [[ Subgroup structure of groups of order 329|329]] || [[ Subgroup structure of groups of order 330|330]] || [[ Subgroup structure of groups of order 331|331]] || [[ Subgroup structure of groups of order 332|332]] || [[ Subgroup structure of groups of order 333|333]] || [[ Subgroup structure of groups of order 334|334]] || [[ Subgroup structure of groups of order 335|335]] || [[ Subgroup structure of groups of order 336|336]] || [[ Subgroup structure of groups of order 337|337]] || [[ Subgroup structure of groups of order 338|338]] || [[ Subgroup structure of groups of order 339|339]] || [[ Subgroup structure of groups of order 340|340]] || [[ Subgroup structure of groups of order 341|341]] || [[ Subgroup structure of groups of order 342|342]] || [[ Subgroup structure of groups of order 343|343]] || [[ Subgroup structure of groups of order 344|344]] || [[ Subgroup structure of groups of order 345|345]] || [[ Subgroup structure of groups of order 346|346]] || [[ Subgroup structure of groups of order 347|347]] || [[ Subgroup structure of groups of order 348|348]] || [[ Subgroup structure of groups of order 349|349]] || [[ Subgroup structure of groups of order 350|350]] | |||
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| [[ Subgroup structure of groups of order 351|351]] || [[ Subgroup structure of groups of order 352|352]] || [[ Subgroup structure of groups of order 353|353]] || [[ Subgroup structure of groups of order 354|354]] || [[ Subgroup structure of groups of order 355|355]] || [[ Subgroup structure of groups of order 356|356]] || [[ Subgroup structure of groups of order 357|357]] || [[ Subgroup structure of groups of order 358|358]] || [[ Subgroup structure of groups of order 359|359]] || [[ Subgroup structure of groups of order 360|360]] || [[ Subgroup structure of groups of order 361|361]] || [[ Subgroup structure of groups of order 362|362]] || [[ Subgroup structure of groups of order 363|363]] || [[ Subgroup structure of groups of order 364|364]] || [[ Subgroup structure of groups of order 365|365]] || [[ Subgroup structure of groups of order 366|366]] || [[ Subgroup structure of groups of order 367|367]] || [[ Subgroup structure of groups of order 368|368]] || [[ Subgroup structure of groups of order 369|369]] || [[ Subgroup structure of groups of order 370|370]] || [[ Subgroup structure of groups of order 371|371]] || [[ Subgroup structure of groups of order 372|372]] || [[ Subgroup structure of groups of order 373|373]] || [[ Subgroup structure of groups of order 374|374]] || [[ Subgroup structure of groups of order 375|375]] | |||
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| [[ Subgroup structure of groups of order 376|376]] || [[ Subgroup structure of groups of order 377|377]] || [[ Subgroup structure of groups of order 378|378]] || [[ Subgroup structure of groups of order 379|379]] || [[ Subgroup structure of groups of order 380|380]] || [[ Subgroup structure of groups of order 381|381]] || [[ Subgroup structure of groups of order 382|382]] || [[ Subgroup structure of groups of order 383|383]] || [[ Subgroup structure of groups of order 384|384]] || [[ Subgroup structure of groups of order 385|385]] || [[ Subgroup structure of groups of order 386|386]] || [[ Subgroup structure of groups of order 387|387]] || [[ Subgroup structure of groups of order 388|388]] || [[ Subgroup structure of groups of order 389|389]] || [[ Subgroup structure of groups of order 390|390]] || [[ Subgroup structure of groups of order 391|391]] || [[ Subgroup structure of groups of order 392|392]] || [[ Subgroup structure of groups of order 393|393]] || [[ Subgroup structure of groups of order 394|394]] || [[ Subgroup structure of groups of order 395|395]] || [[ Subgroup structure of groups of order 396|396]] || [[ Subgroup structure of groups of order 397|397]] || [[ Subgroup structure of groups of order 398|398]] || [[ Subgroup structure of groups of order 399|399]] || [[ Subgroup structure of groups of order 400|400]] | |||
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| [[ Subgroup structure of groups of order 401|401]] || [[ Subgroup structure of groups of order 402|402]] || [[ Subgroup structure of groups of order 403|403]] || [[ Subgroup structure of groups of order 404|404]] || [[ Subgroup structure of groups of order 405|405]] || [[ Subgroup structure of groups of order 406|406]] || [[ Subgroup structure of groups of order 407|407]] || [[ Subgroup structure of groups of order 408|408]] || [[ Subgroup structure of groups of order 409|409]] || [[ Subgroup structure of groups of order 410|410]] || [[ Subgroup structure of groups of order 411|411]] || [[ Subgroup structure of groups of order 412|412]] || [[ Subgroup structure of groups of order 413|413]] || [[ Subgroup structure of groups of order 414|414]] || [[ Subgroup structure of groups of order 415|415]] || [[ Subgroup structure of groups of order 416|416]] || [[ Subgroup structure of groups of order 417|417]] || [[ Subgroup structure of groups of order 418|418]] || [[ Subgroup structure of groups of order 419|419]] || [[ Subgroup structure of groups of order 420|420]] || [[ Subgroup structure of groups of order 421|421]] || [[ Subgroup structure of groups of order 422|422]] || [[ Subgroup structure of groups of order 423|423]] || [[ Subgroup structure of groups of order 424|424]] || [[ Subgroup structure of groups of order 425|425]] | |||
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| [[ Subgroup structure of groups of order 426|426]] || [[ Subgroup structure of groups of order 427|427]] || [[ Subgroup structure of groups of order 428|428]] || [[ Subgroup structure of groups of order 429|429]] || [[ Subgroup structure of groups of order 430|430]] || [[ Subgroup structure of groups of order 431|431]] || [[ Subgroup structure of groups of order 432|432]] || [[ Subgroup structure of groups of order 433|433]] || [[ Subgroup structure of groups of order 434|434]] || [[ Subgroup structure of groups of order 435|435]] || [[ Subgroup structure of groups of order 436|436]] || [[ Subgroup structure of groups of order 437|437]] || [[ Subgroup structure of groups of order 438|438]] || [[ Subgroup structure of groups of order 439|439]] || [[ Subgroup structure of groups of order 440|440]] || [[ Subgroup structure of groups of order 441|441]] || [[ Subgroup structure of groups of order 442|442]] || [[ Subgroup structure of groups of order 443|443]] || [[ Subgroup structure of groups of order 444|444]] || [[ Subgroup structure of groups of order 445|445]] || [[ Subgroup structure of groups of order 446|446]] || [[ Subgroup structure of groups of order 447|447]] || [[ Subgroup structure of groups of order 448|448]] || [[ Subgroup structure of groups of order 449|449]] || [[ Subgroup structure of groups of order 450|450]] | |||
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| [[ Subgroup structure of groups of order 451|451]] || [[ Subgroup structure of groups of order 452|452]] || [[ Subgroup structure of groups of order 453|453]] || [[ Subgroup structure of groups of order 454|454]] || [[ Subgroup structure of groups of order 455|455]] || [[ Subgroup structure of groups of order 456|456]] || [[ Subgroup structure of groups of order 457|457]] || [[ Subgroup structure of groups of order 458|458]] || [[ Subgroup structure of groups of order 459|459]] || [[ Subgroup structure of groups of order 460|460]] || [[ Subgroup structure of groups of order 461|461]] || [[ Subgroup structure of groups of order 462|462]] || [[ Subgroup structure of groups of order 463|463]] || [[ Subgroup structure of groups of order 464|464]] || [[ Subgroup structure of groups of order 465|465]] || [[ Subgroup structure of groups of order 466|466]] || [[ Subgroup structure of groups of order 467|467]] || [[ Subgroup structure of groups of order 468|468]] || [[ Subgroup structure of groups of order 469|469]] || [[ Subgroup structure of groups of order 470|470]] || [[ Subgroup structure of groups of order 471|471]] || [[ Subgroup structure of groups of order 472|472]] || [[ Subgroup structure of groups of order 473|473]] || [[ Subgroup structure of groups of order 474|474]] || [[ Subgroup structure of groups of order 475|475]] | |||
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| [[ Subgroup structure of groups of order 476|476]] || [[ Subgroup structure of groups of order 477|477]] || [[ Subgroup structure of groups of order 478|478]] || [[ Subgroup structure of groups of order 479|479]] || [[ Subgroup structure of groups of order 480|480]] || [[ Subgroup structure of groups of order 481|481]] || [[ Subgroup structure of groups of order 482|482]] || [[ Subgroup structure of groups of order 483|483]] || [[ Subgroup structure of groups of order 484|484]] || [[ Subgroup structure of groups of order 485|485]] || [[ Subgroup structure of groups of order 486|486]] || [[ Subgroup structure of groups of order 487|487]] || [[ Subgroup structure of groups of order 488|488]] || [[ Subgroup structure of groups of order 489|489]] || [[ Subgroup structure of groups of order 490|490]] || [[ Subgroup structure of groups of order 491|491]] || [[ Subgroup structure of groups of order 492|492]] || [[ Subgroup structure of groups of order 493|493]] || [[ Subgroup structure of groups of order 494|494]] || [[ Subgroup structure of groups of order 495|495]] || [[ Subgroup structure of groups of order 496|496]] || [[ Subgroup structure of groups of order 497|497]] || [[ Subgroup structure of groups of order 498|498]] || [[ Subgroup structure of groups of order 499|499]] || [[ Subgroup structure of groups of order 500|500]] | |||
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| [[ Subgroup structure of groups of order 501|501]] || [[ Subgroup structure of groups of order 502|502]] || [[ Subgroup structure of groups of order 503|503]] || [[ Subgroup structure of groups of order 504|504]] || [[ Subgroup structure of groups of order 505|505]] || [[ Subgroup structure of groups of order 506|506]] || [[ Subgroup structure of groups of order 507|507]] || [[ Subgroup structure of groups of order 508|508]] || [[ Subgroup structure of groups of order 509|509]] || [[ Subgroup structure of groups of order 510|510]] || [[ Subgroup structure of groups of order 511|511]] || [[ Subgroup structure of groups of order 512|512]] || [[ Subgroup structure of groups of order 513|513]] || [[ Subgroup structure of groups of order 514|514]] || [[ Subgroup structure of groups of order 515|515]] || [[ Subgroup structure of groups of order 516|516]] || [[ Subgroup structure of groups of order 517|517]] || [[ Subgroup structure of groups of order 518|518]] || [[ Subgroup structure of groups of order 519|519]] || [[ Subgroup structure of groups of order 520|520]] || [[ Subgroup structure of groups of order 521|521]] || [[ Subgroup structure of groups of order 522|522]] || [[ Subgroup structure of groups of order 523|523]] || [[ Subgroup structure of groups of order 524|524]] || [[ Subgroup structure of groups of order 525|525]] | |||
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| [[ Subgroup structure of groups of order 526|526]] || [[ Subgroup structure of groups of order 527|527]] || [[ Subgroup structure of groups of order 528|528]] || [[ Subgroup structure of groups of order 529|529]] || [[ Subgroup structure of groups of order 530|530]] || [[ Subgroup structure of groups of order 531|531]] || [[ Subgroup structure of groups of order 532|532]] || [[ Subgroup structure of groups of order 533|533]] || [[ Subgroup structure of groups of order 534|534]] || [[ Subgroup structure of groups of order 535|535]] || [[ Subgroup structure of groups of order 536|536]] || [[ Subgroup structure of groups of order 537|537]] || [[ Subgroup structure of groups of order 538|538]] || [[ Subgroup structure of groups of order 539|539]] || [[ Subgroup structure of groups of order 540|540]] || [[ Subgroup structure of groups of order 541|541]] || [[ Subgroup structure of groups of order 542|542]] || [[ Subgroup structure of groups of order 543|543]] || [[ Subgroup structure of groups of order 544|544]] || [[ Subgroup structure of groups of order 545|545]] || [[ Subgroup structure of groups of order 546|546]] || [[ Subgroup structure of groups of order 547|547]] || [[ Subgroup structure of groups of order 548|548]] || [[ Subgroup structure of groups of order 549|549]] || [[ Subgroup structure of groups of order 550|550]] | |||
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| [[ Subgroup structure of groups of order 551|551]] || [[ Subgroup structure of groups of order 552|552]] || [[ Subgroup structure of groups of order 553|553]] || [[ Subgroup structure of groups of order 554|554]] || [[ Subgroup structure of groups of order 555|555]] || [[ Subgroup structure of groups of order 556|556]] || [[ Subgroup structure of groups of order 557|557]] || [[ Subgroup structure of groups of order 558|558]] || [[ Subgroup structure of groups of order 559|559]] || [[ Subgroup structure of groups of order 560|560]] || [[ Subgroup structure of groups of order 561|561]] || [[ Subgroup structure of groups of order 562|562]] || [[ Subgroup structure of groups of order 563|563]] || [[ Subgroup structure of groups of order 564|564]] || [[ Subgroup structure of groups of order 565|565]] || [[ Subgroup structure of groups of order 566|566]] || [[ Subgroup structure of groups of order 567|567]] || [[ Subgroup structure of groups of order 568|568]] || [[ Subgroup structure of groups of order 569|569]] || [[ Subgroup structure of groups of order 570|570]] || [[ Subgroup structure of groups of order 571|571]] || [[ Subgroup structure of groups of order 572|572]] || [[ Subgroup structure of groups of order 573|573]] || [[ Subgroup structure of groups of order 574|574]] || [[ Subgroup structure of groups of order 575|575]] | |||
|- | |||
| [[ Subgroup structure of groups of order 576|576]] || [[ Subgroup structure of groups of order 577|577]] || [[ Subgroup structure of groups of order 578|578]] || [[ Subgroup structure of groups of order 579|579]] || [[ Subgroup structure of groups of order 580|580]] || [[ Subgroup structure of groups of order 581|581]] || [[ Subgroup structure of groups of order 582|582]] || [[ Subgroup structure of groups of order 583|583]] || [[ Subgroup structure of groups of order 584|584]] || [[ Subgroup structure of groups of order 585|585]] || [[ Subgroup structure of groups of order 586|586]] || [[ Subgroup structure of groups of order 587|587]] || [[ Subgroup structure of groups of order 588|588]] || [[ Subgroup structure of groups of order 589|589]] || [[ Subgroup structure of groups of order 590|590]] || [[ Subgroup structure of groups of order 591|591]] || [[ Subgroup structure of groups of order 592|592]] || [[ Subgroup structure of groups of order 593|593]] || [[ Subgroup structure of groups of order 594|594]] || [[ Subgroup structure of groups of order 595|595]] || [[ Subgroup structure of groups of order 596|596]] || [[ Subgroup structure of groups of order 597|597]] || [[ Subgroup structure of groups of order 598|598]] || [[ Subgroup structure of groups of order 599|599]] || [[ Subgroup structure of groups of order 600|600]] | |||
|- | |||
| [[ Subgroup structure of groups of order 601|601]] || [[ Subgroup structure of groups of order 602|602]] || [[ Subgroup structure of groups of order 603|603]] || [[ Subgroup structure of groups of order 604|604]] || [[ Subgroup structure of groups of order 605|605]] || [[ Subgroup structure of groups of order 606|606]] || [[ Subgroup structure of groups of order 607|607]] || [[ Subgroup structure of groups of order 608|608]] || [[ Subgroup structure of groups of order 609|609]] || [[ Subgroup structure of groups of order 610|610]] || [[ Subgroup structure of groups of order 611|611]] || [[ Subgroup structure of groups of order 612|612]] || [[ Subgroup structure of groups of order 613|613]] || [[ Subgroup structure of groups of order 614|614]] || [[ Subgroup structure of groups of order 615|615]] || [[ Subgroup structure of groups of order 616|616]] || [[ Subgroup structure of groups of order 617|617]] || [[ Subgroup structure of groups of order 618|618]] || [[ Subgroup structure of groups of order 619|619]] || [[ Subgroup structure of groups of order 620|620]] || [[ Subgroup structure of groups of order 621|621]] || [[ Subgroup structure of groups of order 622|622]] || [[ Subgroup structure of groups of order 623|623]] || [[ Subgroup structure of groups of order 624|624]] || [[ Subgroup structure of groups of order 625|625]] | |||
|} | |} | ||
Revision as of 18:34, 24 December 2023
I'm a third year maths student in the UK.
I intend to fill out this wiki with groups related stuff I know from my degree.
Handy wiki-editing pages
Special:SpecialPages Special:WantedPages
Representation theory articles
I'm contributing to articles on representation theory as I learn it - in particular I am trying to add examples to example-less articles on definitions, or applications of results.
Contributions
Non-exhaustive list.
- Completely reducible linear representation
- Representation of finite group over field of characteristic zero decomposes as direct sum of irreducible subrepresentations
- Irreducible complex representation of abelian group is one dimensional
- Kernel of representation of finite group is set of elements where the character evaluates to dimension of representation
- Representation is irreducible if and only if inner product of character is 1
- Character of a linear representation - much of the content on this page.
- Sum of irreducible representation on conjugacy class is scalar multiple of identity matrix
- Linear representation theory of general affine group:GA(1,5)
- Sum of elements in row of character table of finite group is non-negative integer
- Correspondence between normal subgroups and the kernels of characters of a finite group
- Number of real conjugacy classes is equal to number of irreducible real characters
- Decomposable group
- Symmetric and alternating-squares of linear representation
- Linear representation theory of circle group
- Irreducible representation of dimension greater than one will have character equal to zero on some conjugacy class
- Group of odd order has only one real-valued irreducible character
Mackey theory
Other contributions
See also: Special:Contributions/R-a-jones
Non-exhaustive list.
- List of groups of order 64
- Group of units modulo n
- Group of units modulo prime power is cyclic (statement. Proof to be filled in)
- The special case Group of units modulo prime is cyclic of the above. Statement and proof.
- Group of units modulo two times prime power is cyclic (statement. Proof to be filled in)
- Cyclic group:Z21 and the majority of the content on frobenius group of order 21
- Automorphism group of Zp for p prime is isomorphic to Z(p-1) (statement, proof to be filled in)
- Derived subgroup of dihedral group
- Derived subgroup is trivial if and only if group is abelian
- Class function (links and vector spaces bit)
- Vector space
- Automorphism group of cyclic group
- Generalized quaternion group:Q16's Cayley table
- Orbit under group action
- Homomorphic image of subgroup is subgroup
- Self-inverse conjugacy class
- Galois group of a polynomial
- Primitive element theorem
- Galois field extension
- Groups with same character table need not be isomorphic
- Gnu function and moa function
- Abelian number
- Finite group of odd order has no non-trivial elements conjugate to their inverse Statement. Proof to be filled in.
- Modular maximal-cyclic group
- Transitive subgroup of symmetric group
- Number of groups of order n up to isomorphism is at most n to the power of (n log base 2 n)
- Non-isomorphic simple groups may have the same order
- Prüfer group
Groups of small orders
Further information: Table of number of groups for small orders
For my own persual if I need to look something up, but also may help you, pages for groups of small orders are in this table below. I intend to create more of these pages, where the order is sufficiently interesting (primes are not so interesting, neither are 2*primes, or primes^2, for example.)
General orders: pq, 2p, 4p (p is congruent to 1 mod 4, p is congruent to 3 mod 4), 8p, 16p, 32p, 64p, p^3, p^4, p^5, p^6, 2pq, pqr (all distinct), pqrs (all distinct), p^2 q, 2p^2
Also useful is the Classification of abelianness-forcing numbers