Groups of order 480

Statistics at a glance
The number 480 has the prime factorization:

$$\! 480 = 2^5 \cdot 3^1 \cdot 5^1 =64\cdot 3 \cdot 5$$

GAP implementation
gap> SmallGroupsInformation(480);

There are 1213 groups of order 480. They are sorted by their Frattini factors. 1 has Frattini factor [ 30, 1 ]. 2 has Frattini factor [ 30, 2 ]. 3 has Frattini factor [ 30, 3 ]. 4 has Frattini factor [ 30, 4 ]. 5 has Frattini factor [ 60, 6 ]. 6 has Frattini factor [ 60, 7 ]. 7 - 73 have Frattini factor [ 60, 8 ]. 74 has Frattini factor [ 60, 9 ]. 75 - 115 have Frattini factor [ 60, 10 ]. 116 - 156 have Frattini factor [ 60, 11 ]. 157 - 197 have Frattini factor [ 60, 12 ]. 198 - 216 have Frattini factor [ 60, 13 ]. 217 - 219 have Frattini factor [ 120, 34 ]. 220 - 222 have Frattini factor [ 120, 35 ]. 223 - 253 have Frattini factor [ 120, 36 ]. 254 - 257 have Frattini factor [ 120, 37 ]. 258 - 261 have Frattini factor [ 120, 38 ]. 262 - 268 have Frattini factor [ 120, 39 ]. 269 - 293 have Frattini factor [ 120, 40 ]. 294 - 318 have Frattini factor [ 120, 41 ]. 319 - 653 have Frattini factor [ 120, 42 ]. 654 - 660 have Frattini factor [ 120, 43 ]. 661 - 746 have Frattini factor [ 120, 44 ]. 747 - 832 have Frattini factor [ 120, 45 ]. 833 - 918 have Frattini factor [ 120, 46 ]. 919 - 942 have Frattini factor [ 120, 47 ]. 943 - 953 have Frattini factor [ 240, 189 ]. 954 - 960 have Frattini factor [ 240, 190 ]. 961 - 963 have Frattini factor [ 240, 192 ]. 964 - 966 have Frattini factor [ 240, 193 ]. 967 - 981 have Frattini factor [ 240, 194 ]. 982 - 1012 have Frattini factor [ 240, 195 ]. 1013 - 1023 have Frattini factor [ 240, 196 ]. 1024 - 1034 have Frattini factor [ 240, 197 ]. 1035 - 1045 have Frattini factor [ 240, 198 ]. 1046 has Frattini factor [ 240, 199 ]. 1047 - 1059 have Frattini factor [ 240, 200 ]. 1060 - 1072 have Frattini factor [ 240, 201 ]. 1073 - 1125 have Frattini factor [ 240, 202 ]. 1126 - 1132 have Frattini factor [ 240, 203 ]. 1133 - 1134 have Frattini factor [ 240, 204 ]. 1135 - 1149 have Frattini factor [ 240, 205 ]. 1150 - 1164 have Frattini factor [ 240, 206 ]. 1165 - 1179 have Frattini factor [ 240, 207 ]. 1180 - 1185 have Frattini factor [ 240, 208 ]. 1186 - 1213 have trivial Frattini subgroup.

For the selection functions the values of the following attributes are precomputed and stored: IsAbelian, IsNilpotentGroup, IsSupersolvableGroup, IsSolvableGroup, LGLength, FrattinifactorSize and FrattinifactorId.

This size belongs to layer 2 of the SmallGroups library. IdSmallGroup is available for this size.