User:R-a-jones: Difference between revisions

From Groupprops
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I'm a second year maths student in the UK.
I'm a second year maths student in the UK.
I intend to fill out this wiki with groups related stuff I know from my degree.
==Groups of 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.)
{| class="sortable"
| [[groups of order 1|1]] || [[groups of order 2|2]] || [[groups of order 3|3]] || [[groups of order 4|4]] || [[groups of order 5|5]] || [[groups of order 6|6]] || [[groups of order 7|7]] || [[groups of order 8|8]] || [[groups of order 9|9]] || [[groups of order 10|10]] || [[groups of order 11|11]] || [[groups of order 12|12]] || [[groups of order 13|13]] || [[groups of order 14|14]] || [[groups of order 15|15]] || [[groups of order 16|16]] || [[groups of order 17|17]] || [[groups of order 18|18]] || [[groups of order 19|19]] || [[groups of order 20|20]] || [[groups of order 21|21]] || [[groups of order 22|22]] || [[groups of order 23|23]] || [[groups of order 24|24]] || [[groups of order 25|25]]
|-
| [[groups of order 26|26]] || [[groups of order 27|27]] || [[groups of order 28|28]] || [[groups of order 29|29]] || [[groups of order 30|30]] || [[groups of order 31|31]] || [[groups of order 32|32]] || [[groups of order 33|33]] || [[groups of order 34|34]] || [[groups of order 35|35]] || [[groups of order 36|36]] || [[groups of order 37|37]] || [[groups of order 38|38]] || [[groups of order 39|39]] || [[groups of order 40|40]] || [[groups of order 41|41]] || [[groups of order 42|42]] || [[groups of order 43|43]] || [[groups of order 44|44]] || [[groups of order 45|45]] || [[groups of order 46|46]] || [[groups of order 47|47]] || [[groups of order 48|48]] || [[groups of order 49|49]] || [[groups of order 50|50]]
|-
| [[groups of order 51|51]] || [[groups of order 52|52]] || [[groups of order 53|53]] || [[groups of order 54|54]] || [[groups of order 55|55]] || [[groups of order 56|56]] || [[groups of order 57|57]] || [[groups of order 58|58]] || [[groups of order 59|59]] || [[groups of order 60|60]] || [[groups of order 61|61]] || [[groups of order 62|62]] || [[groups of order 63|63]] || [[groups of order 64|64]] || [[groups of order 65|65]] || [[groups of order 66|66]] || [[groups of order 67|67]] || [[groups of order 68|68]] || [[groups of order 69|69]] || [[groups of order 70|70]] || [[groups of order 71|71]] || [[groups of order 72|72]] || [[groups of order 73|73]] || [[groups of order 74|74]] || [[groups of order 75|75]]
|-
| [[groups of order 76|76]] || [[groups of order 77|77]] || [[groups of order 78|78]] || [[groups of order 79|79]] || [[groups of order 80|80]] || [[groups of order 81|81]] || [[groups of order 82|82]] || [[groups of order 83|83]] || [[groups of order 84|84]] || [[groups of order 85|85]] || [[groups of order 86|86]] || [[groups of order 87|87]] || [[groups of order 88|88]] || [[groups of order 89|89]] || [[groups of order 90|90]] || [[groups of order 91|91]] || [[groups of order 92|92]] || [[groups of order 93|93]] || [[groups of order 94|94]] || [[groups of order 95|95]] || [[groups of order 96|96]] || [[groups of order 97|97]] || [[groups of order 98|98]] || [[groups of order 99|99]] || [[groups of order 100|100]]
|-
| [[groups of order 101|101]] || [[groups of order 102|102]] || [[groups of order 103|103]] || [[groups of order 104|104]] || [[groups of order 105|105]] || [[groups of order 106|106]] || [[groups of order 107|107]] || [[groups of order 108|108]] || [[groups of order 109|109]] || [[groups of order 110|110]] || [[groups of order 111|111]] || [[groups of order 112|112]] || [[groups of order 113|113]] || [[groups of order 114|114]] || [[groups of order 115|115]] || [[groups of order 116|116]] || [[groups of order 117|117]] || [[groups of order 118|118]] || [[groups of order 119|119]] || [[groups of order 120|120]] || [[groups of order 121|121]] || [[groups of order 122|122]] || [[groups of order 123|123]] || [[groups of order 124|124]] || [[groups of order 125|125]]
|-
| [[groups of order 126|126]] || [[groups of order 127|127]] || [[groups of order 128|128]] || [[groups of order 129|129]] || [[groups of order 130|130]] || [[groups of order 131|131]] || [[groups of order 132|132]] || [[groups of order 133|133]] || [[groups of order 134|134]] || [[groups of order 135|135]] || [[groups of order 136|136]] || [[groups of order 137|137]] || [[groups of order 138|138]] || [[groups of order 139|139]] || [[groups of order 140|140]] || [[groups of order 141|141]] || [[groups of order 142|142]] || [[groups of order 143|143]] || [[groups of order 144|144]] || [[groups of order 145|145]] || [[groups of order 146|146]] || [[groups of order 147|147]] || [[groups of order 148|148]] || [[groups of order 149|149]] || [[groups of order 150|150]]
|-
| [[groups of order 151|151]] || [[groups of order 152|152]] || [[groups of order 153|153]] || [[groups of order 154|154]] || [[groups of order 155|155]] || [[groups of order 156|156]] || [[groups of order 157|157]] || [[groups of order 158|158]] || [[groups of order 159|159]] || [[groups of order 160|160]] || [[groups of order 161|161]] || [[groups of order 162|162]] || [[groups of order 163|163]] || [[groups of order 164|164]] || [[groups of order 165|165]] || [[groups of order 166|166]] || [[groups of order 167|167]] || [[groups of order 168|168]] || [[groups of order 169|169]] || [[groups of order 170|170]] || [[groups of order 171|171]] || [[groups of order 172|172]] || [[groups of order 173|173]] || [[groups of order 174|174]] || [[groups of order 175|175]]
|-
| [[groups of order 176|176]] || [[groups of order 177|177]] || [[groups of order 178|178]] || [[groups of order 179|179]] || [[groups of order 180|180]] || [[groups of order 181|181]] || [[groups of order 182|182]] || [[groups of order 183|183]] || [[groups of order 184|184]] || [[groups of order 185|185]] || [[groups of order 186|186]] || [[groups of order 187|187]] || [[groups of order 188|188]] || [[groups of order 189|189]] || [[groups of order 190|190]] || [[groups of order 191|191]] || [[groups of order 192|192]] || [[groups of order 193|193]] || [[groups of order 194|194]] || [[groups of order 195|195]] || [[groups of order 196|196]] || [[groups of order 197|197]] || [[groups of order 198|198]] || [[groups of order 199|199]] || [[groups of order 200|200]]
|-
| [[groups of order 201|201]] || [[groups of order 202|202]] || [[groups of order 203|203]] || [[groups of order 204|204]] || [[groups of order 205|205]] || [[groups of order 206|206]] || [[groups of order 207|207]] || [[groups of order 208|208]] || [[groups of order 209|209]] || [[groups of order 210|210]] || [[groups of order 211|211]] || [[groups of order 212|212]] || [[groups of order 213|213]] || [[groups of order 214|214]] || [[groups of order 215|215]] || [[groups of order 216|216]] || [[groups of order 217|217]] || [[groups of order 218|218]] || [[groups of order 219|219]] || [[groups of order 220|220]] || [[groups of order 221|221]] || [[groups of order 222|222]] || [[groups of order 223|223]] || [[groups of order 224|224]] || [[groups of order 225|225]]
|-
| [[groups of order 226|226]] || [[groups of order 227|227]] || [[groups of order 228|228]] || [[groups of order 229|229]] || [[groups of order 230|230]] || [[groups of order 231|231]] || [[groups of order 232|232]] || [[groups of order 233|233]] || [[groups of order 234|234]] || [[groups of order 235|235]] || [[groups of order 236|236]] || [[groups of order 237|237]] || [[groups of order 238|238]] || [[groups of order 239|239]] || [[groups of order 240|240]] || [[groups of order 241|241]] || [[groups of order 242|242]] || [[groups of order 243|243]] || [[groups of order 244|244]] || [[groups of order 245|245]] || [[groups of order 246|246]] || [[groups of order 247|247]] || [[groups of order 248|248]] || [[groups of order 249|249]] || [[groups of order 250|250]]
|-
| [[groups of order 251|251]] || [[groups of order 252|252]] || [[groups of order 253|253]] || [[groups of order 254|254]] || [[groups of order 255|255]] || [[groups of order 256|256]] || [[groups of order 257|257]] || [[groups of order 258|258]] || [[groups of order 259|259]] || [[groups of order 260|260]] || [[groups of order 261|261]] || [[groups of order 262|262]] || [[groups of order 263|263]] || [[groups of order 264|264]] || [[groups of order 265|265]] || [[groups of order 266|266]] || [[groups of order 267|267]] || [[groups of order 268|268]] || [[groups of order 269|269]] || [[groups of order 270|270]] || [[groups of order 271|271]] || [[groups of order 272|272]] || [[groups of order 273|273]] || [[groups of order 274|274]] || [[groups of order 275|275]]
|-
| [[groups of order 276|276]] || [[groups of order 277|277]] || [[groups of order 278|278]] || [[groups of order 279|279]] || [[groups of order 280|280]] || [[groups of order 281|281]] || [[groups of order 282|282]] || [[groups of order 283|283]] || [[groups of order 284|284]] || [[groups of order 285|285]] || [[groups of order 286|286]] || [[groups of order 287|287]] || [[groups of order 288|288]] || [[groups of order 289|289]] || [[groups of order 290|290]] || [[groups of order 291|291]] || [[groups of order 292|292]] || [[groups of order 293|293]] || [[groups of order 294|294]] || [[groups of order 295|295]] || [[groups of order 296|296]] || [[groups of order 297|297]] || [[groups of order 298|298]] || [[groups of order 299|299]] || [[groups of order 300|300]]
|-
| [[groups of order 301|301]] || [[groups of order 302|302]] || [[groups of order 303|303]] || [[groups of order 304|304]] || [[groups of order 305|305]] || [[groups of order 306|306]] || [[groups of order 307|307]] || [[groups of order 308|308]] || [[groups of order 309|309]] || [[groups of order 310|310]] || [[groups of order 311|311]] || [[groups of order 312|312]] || [[groups of order 313|313]] || [[groups of order 314|314]] || [[groups of order 315|315]] || [[groups of order 316|316]] || [[groups of order 317|317]] || [[groups of order 318|318]] || [[groups of order 319|319]] || [[groups of order 320|320]] || [[groups of order 321|321]] || [[groups of order 322|322]] || [[groups of order 323|323]] || [[groups of order 324|324]] || [[groups of order 325|325]]
|-
| [[groups of order 326|326]] || [[groups of order 327|327]] || [[groups of order 328|328]] || [[groups of order 329|329]] || [[groups of order 330|330]] || [[groups of order 331|331]] || [[groups of order 332|332]] || [[groups of order 333|333]] || [[groups of order 334|334]] || [[groups of order 335|335]] || [[groups of order 336|336]] || [[groups of order 337|337]] || [[groups of order 338|338]] || [[groups of order 339|339]] || [[groups of order 340|340]] || [[groups of order 341|341]] || [[groups of order 342|342]] || [[groups of order 343|343]] || [[groups of order 344|344]] || [[groups of order 345|345]] || [[groups of order 346|346]] || [[groups of order 347|347]] || [[groups of order 348|348]] || [[groups of order 349|349]] || [[groups of order 350|350]]
|-
| [[groups of order 351|351]] || [[groups of order 352|352]] || [[groups of order 353|353]] || [[groups of order 354|354]] || [[groups of order 355|355]] || [[groups of order 356|356]] || [[groups of order 357|357]] || [[groups of order 358|358]] || [[groups of order 359|359]] || [[groups of order 360|360]] || [[groups of order 361|361]] || [[groups of order 362|362]] || [[groups of order 363|363]] || [[groups of order 364|364]] || [[groups of order 365|365]] || [[groups of order 366|366]] || [[groups of order 367|367]] || [[groups of order 368|368]] || [[groups of order 369|369]] || [[groups of order 370|370]] || [[groups of order 371|371]] || [[groups of order 372|372]] || [[groups of order 373|373]] || [[groups of order 374|374]] || [[groups of order 375|375]]
|-
| [[groups of order 376|376]] || [[groups of order 377|377]] || [[groups of order 378|378]] || [[groups of order 379|379]] || [[groups of order 380|380]] || [[groups of order 381|381]] || [[groups of order 382|382]] || [[groups of order 383|383]] || [[groups of order 384|384]] || [[groups of order 385|385]] || [[groups of order 386|386]] || [[groups of order 387|387]] || [[groups of order 388|388]] || [[groups of order 389|389]] || [[groups of order 390|390]] || [[groups of order 391|391]] || [[groups of order 392|392]] || [[groups of order 393|393]] || [[groups of order 394|394]] || [[groups of order 395|395]] || [[groups of order 396|396]] || [[groups of order 397|397]] || [[groups of order 398|398]] || [[groups of order 399|399]] || [[groups of order 400|400]]
|-
| [[groups of order 401|401]] || [[groups of order 402|402]] || [[groups of order 403|403]] || [[groups of order 404|404]] || [[groups of order 405|405]] || [[groups of order 406|406]] || [[groups of order 407|407]] || [[groups of order 408|408]] || [[groups of order 409|409]] || [[groups of order 410|410]] || [[groups of order 411|411]] || [[groups of order 412|412]] || [[groups of order 413|413]] || [[groups of order 414|414]] || [[groups of order 415|415]] || [[groups of order 416|416]] || [[groups of order 417|417]] || [[groups of order 418|418]] || [[groups of order 419|419]] || [[groups of order 420|420]] || [[groups of order 421|421]] || [[groups of order 422|422]] || [[groups of order 423|423]] || [[groups of order 424|424]] || [[groups of order 425|425]]
|-
| [[groups of order 426|426]] || [[groups of order 427|427]] || [[groups of order 428|428]] || [[groups of order 429|429]] || [[groups of order 430|430]] || [[groups of order 431|431]] || [[groups of order 432|432]] || [[groups of order 433|433]] || [[groups of order 434|434]] || [[groups of order 435|435]] || [[groups of order 436|436]] || [[groups of order 437|437]] || [[groups of order 438|438]] || [[groups of order 439|439]] || [[groups of order 440|440]] || [[groups of order 441|441]] || [[groups of order 442|442]] || [[groups of order 443|443]] || [[groups of order 444|444]] || [[groups of order 445|445]] || [[groups of order 446|446]] || [[groups of order 447|447]] || [[groups of order 448|448]] || [[groups of order 449|449]] || [[groups of order 450|450]]
|-
| [[groups of order 451|451]] || [[groups of order 452|452]] || [[groups of order 453|453]] || [[groups of order 454|454]] || [[groups of order 455|455]] || [[groups of order 456|456]] || [[groups of order 457|457]] || [[groups of order 458|458]] || [[groups of order 459|459]] || [[groups of order 460|460]] || [[groups of order 461|461]] || [[groups of order 462|462]] || [[groups of order 463|463]] || [[groups of order 464|464]] || [[groups of order 465|465]] || [[groups of order 466|466]] || [[groups of order 467|467]] || [[groups of order 468|468]] || [[groups of order 469|469]] || [[groups of order 470|470]] || [[groups of order 471|471]] || [[groups of order 472|472]] || [[groups of order 473|473]] || [[groups of order 474|474]] || [[groups of order 475|475]]
|-
| [[groups of order 476|476]] || [[groups of order 477|477]] || [[groups of order 478|478]] || [[groups of order 479|479]] || [[groups of order 480|480]] || [[groups of order 481|481]] || [[groups of order 482|482]] || [[groups of order 483|483]] || [[groups of order 484|484]] || [[groups of order 485|485]] || [[groups of order 486|486]] || [[groups of order 487|487]] || [[groups of order 488|488]] || [[groups of order 489|489]] || [[groups of order 490|490]] || [[groups of order 491|491]] || [[groups of order 492|492]] || [[groups of order 493|493]] || [[groups of order 494|494]] || [[groups of order 495|495]] || [[groups of order 496|496]] || [[groups of order 497|497]] || [[groups of order 498|498]] || [[groups of order 499|499]] || [[groups of order 500|500]]
|-
| [[groups of order 501|501]] || [[groups of order 502|502]] || [[groups of order 503|503]] || [[groups of order 504|504]] || [[groups of order 505|505]] || [[groups of order 506|506]] || [[groups of order 507|507]] || [[groups of order 508|508]] || [[groups of order 509|509]] || [[groups of order 510|510]] || [[groups of order 511|511]] || [[groups of order 512|512]] || [[groups of order 513|513]] || [[groups of order 514|514]] || [[groups of order 515|515]] || [[groups of order 516|516]] || [[groups of order 517|517]] || [[groups of order 518|518]] || [[groups of order 519|519]] || [[groups of order 520|520]] || [[groups of order 521|521]] || [[groups of order 522|522]] || [[groups of order 523|523]] || [[groups of order 524|524]] || [[groups of order 525|525]]
|-
| [[groups of order 526|526]] || [[groups of order 527|527]] || [[groups of order 528|528]] || [[groups of order 529|529]] || [[groups of order 530|530]] || [[groups of order 531|531]] || [[groups of order 532|532]] || [[groups of order 533|533]] || [[groups of order 534|534]] || [[groups of order 535|535]] || [[groups of order 536|536]] || [[groups of order 537|537]] || [[groups of order 538|538]] || [[groups of order 539|539]] || [[groups of order 540|540]] || [[groups of order 541|541]] || [[groups of order 542|542]] || [[groups of order 543|543]] || [[groups of order 544|544]] || [[groups of order 545|545]] || [[groups of order 546|546]] || [[groups of order 547|547]] || [[groups of order 548|548]] || [[groups of order 549|549]] || [[groups of order 550|550]]
|-
| [[groups of order 551|551]] || [[groups of order 552|552]] || [[groups of order 553|553]] || [[groups of order 554|554]] || [[groups of order 555|555]] || [[groups of order 556|556]] || [[groups of order 557|557]] || [[groups of order 558|558]] || [[groups of order 559|559]] || [[groups of order 560|560]] || [[groups of order 561|561]] || [[groups of order 562|562]] || [[groups of order 563|563]] || [[groups of order 564|564]] || [[groups of order 565|565]] || [[groups of order 566|566]] || [[groups of order 567|567]] || [[groups of order 568|568]] || [[groups of order 569|569]] || [[groups of order 570|570]] || [[groups of order 571|571]] || [[groups of order 572|572]] || [[groups of order 573|573]] || [[groups of order 574|574]] || [[groups of order 575|575]]
|-
| [[groups of order 576|576]] || [[groups of order 577|577]] || [[groups of order 578|578]] || [[groups of order 579|579]] || [[groups of order 580|580]] || [[groups of order 581|581]] || [[groups of order 582|582]] || [[groups of order 583|583]] || [[groups of order 584|584]] || [[groups of order 585|585]] || [[groups of order 586|586]] || [[groups of order 587|587]] || [[groups of order 588|588]] || [[groups of order 589|589]] || [[groups of order 590|590]] || [[groups of order 591|591]] || [[groups of order 592|592]] || [[groups of order 593|593]] || [[groups of order 594|594]] || [[groups of order 595|595]] || [[groups of order 596|596]] || [[groups of order 597|597]] || [[groups of order 598|598]] || [[groups of order 599|599]] || [[groups of order 600|600]]
|-
| [[groups of order 601|601]] || [[groups of order 602|602]] || [[groups of order 603|603]] || [[groups of order 604|604]] || [[groups of order 605|605]] || [[groups of order 606|606]] || [[groups of order 607|607]] || [[groups of order 608|608]] || [[groups of order 609|609]] || [[groups of order 610|610]] || [[groups of order 611|611]] || [[groups of order 612|612]] || [[groups of order 613|613]] || [[groups of order 614|614]] || [[groups of order 615|615]] || [[groups of order 616|616]] || [[groups of order 617|617]] || [[groups of order 618|618]] || [[groups of order 619|619]] || [[groups of order 620|620]] || [[groups of order 621|621]] || [[groups of order 622|622]] || [[groups of order 623|623]] || [[groups of order 624|624]] || [[groups of order 625|625]]
|}

Revision as of 12:46, 5 June 2023

I'm a second year maths student in the UK.

I intend to fill out this wiki with groups related stuff I know from my degree.

Groups of 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.)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75
76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125
126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150
151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175
176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225
226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250
251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275
276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325
326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350
351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375
376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425
426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450
451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475
476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525
526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550
551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575
576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600
601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625