← #72219219
Subgroups — #72219219
Order 2048.
106265 conjugacy classes of subgroups.
The subgroup lattice has 1054 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72219216 | C2 | 1 | 60 | yes | maximal, complemented |
| 2 | #72219215 | C2 | 1 | 15 | yes | maximal, complemented |
| 3 | #72219214 | C2 | 1 | 30 | yes | maximal, complemented |
| 4 | #72219213 | C2 | 1 | 15 | yes | maximal, complemented |
| 5 | #72219212 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72219212 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #72209699 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #6342371 | C22 | 1 | 2 | yes | complemented |
| 9 | #6342371 | C22 | 1 | 1 | yes | characteristic, complemented |
| 10 | #6342371 | C22 | 1 | 4 | yes | complemented |
| 11 | #5455231 | C22 | 1 | 60 | yes | complemented |
| 12 | #5451278 | C22 | 1 | 60 | yes | complemented |
| 13 | #5450520 | C22 | 1 | 60 | yes | complemented |
| 14 | #5450520 | C22 | 1 | 60 | yes | complemented |
| 15 | #5421281 | C22 | 1 | 60 | yes | complemented |
| 16 | #5419628 | C22 | 1 | 60 | yes | complemented |
| 17 | #5388776 | C22 | 1 | 60 | yes | complemented |
| 18 | #5388776 | C22 | 1 | 60 | yes | complemented |
| 19 | #5387712 | C22 | 1 | 60 | yes | complemented |
| 20 | #5385327 | C22 | 1 | 60 | yes | complemented |
| 21 | #5353762 | C22 | 1 | 60 | yes | complemented |
| 22 | #5351441 | C22 | 1 | 60 | yes | complemented |
| 23 | #5339912 | C22 | 1 | 60 | yes | complemented |
| 24 | #5336463 | C22 | 1 | 60 | yes | complemented |
| 25 | #5307456 | C22 | 1 | 60 | yes | complemented |
| 26 | #5284344 | C22 | 1 | 60 | yes | complemented |
| 27 | #5284344 | C22 | 1 | 60 | yes | complemented |
| 28 | #5283421 | C22 | 1 | 60 | yes | complemented |
| 29 | #5250206 | C22 | 1 | 60 | yes | complemented |
| 30 | #5245445 | C22 | 1 | 60 | yes | complemented |
| 31 | #5244448 | C22 | 1 | 60 | yes | complemented |
| 32 | #5244448 | C22 | 1 | 60 | yes | complemented |
| 33 | #5236693 | C22 | 1 | 30 | yes | complemented |
| 34 | #5236693 | C22 | 1 | 30 | yes | complemented |
| 35 | #5236484 | C22 | 1 | 30 | yes | complemented |
| 36 | #5228709 | C22 | 1 | 15 | yes | complemented |
| 37 | #5228464 | C22 | 1 | 15 | yes | complemented |
| 38 | #5214543 | C22 | 1 | 60 | yes | complemented |
| 39 | #5213888 | C22 | 1 | 60 | yes | complemented |
| 40 | #5213373 | C22 | 1 | 60 | yes | complemented |
| 41 | #5212766 | C22 | 1 | 30 | yes | complemented |
| 42 | #5212362 | C22 | 1 | 30 | yes | complemented |
| 43 | #5023289 | C22 | 1 | 60 | yes | complemented |
| 44 | #5021507 | C22 | 1 | 15 | yes | complemented |
| 45 | #5021138 | C22 | 1 | 15 | yes | — |
| 46 | #5021138 | C22 | 1 | 5 | yes | complemented |
| 47 | #5020751 | C22 | 1 | 15 | yes | complemented |
| 48 | #5020751 | C22 | 1 | 30 | yes | complemented |
| 49 | #2076366 | C22 | 1 | 30 | yes | complemented |
| 50 | #2066228 | C22 | 1 | 60 | yes | complemented |
| 51 | #2063717 | C22 | 1 | 60 | yes | complemented |
| 52 | #2060799 | C22 | 1 | 60 | yes | complemented |
| 53 | #2056273 | C22 | 1 | 60 | yes | complemented |
| 54 | #2052766 | C22 | 1 | 60 | yes | complemented |
| 55 | #2050574 | C22 | 1 | 30 | yes | complemented |
| 56 | #2039343 | C22 | 1 | 60 | yes | complemented |
| 57 | #2036930 | C22 | 1 | 30 | yes | complemented |
| 58 | #2032594 | C22 | 1 | 30 | yes | complemented |
| 59 | #2032594 | C22 | 1 | 60 | yes | complemented |
| 60 | #2032564 | C22 | 1 | 60 | yes | complemented |
| 61 | #2032564 | C22 | 1 | 60 | yes | complemented |
| 62 | #2032564 | C22 | 1 | 60 | yes | complemented |
| 63 | #2032030 | C22 | 1 | 30 | yes | — |
| 64 | #2032030 | C22 | 1 | 60 | yes | — |
| 65 | #2032030 | C22 | 1 | 30 | yes | complemented |
| 66 | C28 | C23 | 1 | 1 | yes | characteristic, complemented |
| 67 | C22×H(3,𝔽4) | C23 | 1 | 5 | yes | — |
| 68 | C2×#2808 | C23 | 1 | 60 | yes | complemented |
| 69 | C2×#2735 | C23 | 1 | 60 | yes | complemented |
| 70 | C2×#2735 | C23 | 1 | 30 | yes | complemented |
| 71 | C2×#2679 | C23 | 1 | 60 | yes | — |
| 72 | C2×#2679 | C23 | 1 | 30 | yes | — |
| 73 | C2×#2820 | C23 | 1 | 30 | yes | complemented |
| 74 | C2×#2840 | C23 | 1 | 15 | yes | complemented |
| 75 | C2×#2861 | C23 | 1 | 15 | yes | complemented |
| 76 | C2×#2846 | C23 | 1 | 30 | yes | — |
| 77 | C2×#2846 | C23 | 1 | 15 | yes | — |
| 78 | C2×#2846 | C23 | 1 | 60 | yes | — |
| 79 | C2×#2846 | C23 | 1 | 15 | yes | complemented |
| 80 | #17271 | C23 | 1 | 30 | yes | complemented |
| 81 | #17229 | C23 | 1 | 15 | yes | complemented |
| 82 | #17181 | C23 | 1 | 60 | yes | complemented |
| 83 | #17181 | C23 | 1 | 60 | yes | complemented |
| 84 | #17168 | C23 | 1 | 15 | yes | complemented |
| 85 | #17084 | C23 | 1 | 60 | yes | complemented |
| 86 | #17077 | C23 | 1 | 60 | yes | complemented |
| 87 | #17077 | C23 | 1 | 60 | yes | complemented |
| 88 | #17071 | C23 | 1 | 60 | yes | complemented |
| 89 | #17027 | C23 | 1 | 60 | yes | complemented |
| 90 | #17024 | C23 | 1 | 60 | yes | complemented |
| 91 | #17024 | C23 | 1 | 60 | yes | complemented |
| 92 | #17020 | C23 | 1 | 60 | yes | complemented |
| 93 | #17017 | C23 | 1 | 60 | yes | complemented |
| 94 | #17017 | C23 | 1 | 60 | yes | complemented |
| 95 | #16955 | C23 | 1 | 60 | yes | complemented |
| 96 | #16866 | C23 | 1 | 60 | yes | complemented |
| 97 | #16866 | C23 | 1 | 60 | yes | complemented |
| 98 | #16787 | C23 | 1 | 60 | yes | complemented |
| 99 | #16768 | C23 | 1 | 60 | yes | complemented |
| 100 | #16761 | C23 | 1 | 60 | yes | complemented |
| 101 | #16729 | C23 | 1 | 60 | yes | complemented |
| 102 | #16729 | C23 | 1 | 60 | yes | complemented |
| 103 | #16722 | C23 | 1 | 60 | yes | complemented |
| 104 | #16544 | C23 | 1 | 60 | yes | complemented |
| 105 | #16544 | C23 | 1 | 60 | yes | complemented |
| 106 | #16539 | C23 | 1 | 60 | yes | complemented |
| 107 | #16539 | C23 | 1 | 60 | yes | complemented |
| 108 | #16534 | C23 | 1 | 60 | yes | complemented |
| 109 | #16534 | C23 | 1 | 60 | yes | complemented |
| 110 | #16533 | C23 | 1 | 60 | yes | complemented |
| 111 | #16533 | C23 | 1 | 60 | yes | complemented |
| 112 | #16468 | C23 | 1 | 60 | yes | complemented |
| 113 | #16468 | C23 | 1 | 60 | yes | complemented |
| 114 | #16439 | C23 | 1 | 60 | yes | complemented |
| 115 | #16386 | C23 | 1 | 60 | yes | complemented |
| 116 | #16386 | C23 | 1 | 60 | yes | complemented |
| 117 | #16374 | C23 | 1 | 60 | yes | complemented |
| 118 | #16374 | C23 | 1 | 60 | yes | complemented |
| 119 | #16350 | C23 | 1 | 60 | yes | complemented |
| 120 | #16350 | C23 | 1 | 60 | yes | complemented |
| 121 | #16342 | C23 | 1 | 60 | yes | complemented |
| 122 | #16327 | C23 | 1 | 60 | yes | complemented |
| 123 | #16310 | C23 | 1 | 60 | yes | complemented |
| 124 | #16310 | C23 | 1 | 60 | yes | complemented |
| 125 | #16298 | C23 | 1 | 60 | yes | complemented |
| 126 | #16298 | C23 | 1 | 60 | yes | complemented |
| 127 | #16298 | C23 | 1 | 60 | yes | complemented |
| 128 | #16296 | C23 | 1 | 60 | yes | complemented |
| 129 | #16294 | C23 | 1 | 60 | yes | complemented |
| 130 | #16294 | C23 | 1 | 60 | yes | complemented |
| 131 | #16280 | C23 | 1 | 60 | yes | complemented |
| 132 | #16275 | C23 | 1 | 60 | yes | complemented |
| 133 | #16275 | C23 | 1 | 60 | yes | complemented |
| 134 | #16255 | C23 | 1 | 60 | yes | — |
| 135 | #16255 | C23 | 1 | 60 | yes | — |
| 136 | #16255 | C23 | 1 | 60 | yes | — |
| 137 | #16255 | C23 | 1 | 60 | yes | — |
| 138 | #16255 | C23 | 1 | 60 | yes | — |
| 139 | #16255 | C23 | 1 | 60 | yes | — |
| 140 | #16255 | C23 | 1 | 60 | yes | — |
| 141 | #16255 | C23 | 1 | 60 | yes | — |
| 142 | #16255 | C23 | 1 | 60 | yes | — |
| 143 | #16255 | C23 | 1 | 60 | yes | complemented |
| 144 | #16255 | C23 | 1 | 60 | yes | complemented |
| 145 | #16255 | C23 | 1 | 60 | yes | complemented |
| 146 | #16247 | C23 | 1 | 15 | yes | complemented |
| 147 | #16211 | C23 | 1 | 15 | yes | complemented |
| 148 | #16152 | C23 | 1 | 60 | yes | complemented |
| 149 | #16084 | C23 | 1 | 60 | yes | complemented |
| 150 | #16070 | C23 | 1 | 60 | yes | complemented |
| 151 | #16036 | C23 | 1 | 60 | yes | complemented |
| 152 | #16027 | C23 | 1 | 60 | yes | complemented |
| 153 | #15947 | C23 | 1 | 30 | yes | — |
| 154 | #15947 | C23 | 1 | 60 | yes | — |
| 155 | #15947 | C23 | 1 | 20 | yes | — |
| 156 | #15947 | C23 | 1 | 30 | yes | — |
| 157 | #15947 | C23 | 1 | 10 | yes | — |
| 158 | #15883 | C23 | 1 | 60 | yes | complemented |
| 159 | #15882 | C23 | 1 | 60 | yes | complemented |
| 160 | #15880 | C23 | 1 | 60 | yes | complemented |
| 161 | #15855 | C23 | 1 | 60 | yes | complemented |
| 162 | #15846 | C23 | 1 | 60 | yes | complemented |
| 163 | #15845 | C23 | 1 | 60 | yes | complemented |
| 164 | #15833 | C23 | 1 | 60 | yes | complemented |
| 165 | #15831 | C23 | 1 | 60 | yes | complemented |
| 166 | #15831 | C23 | 1 | 60 | yes | complemented |
| 167 | #15825 | C23 | 1 | 60 | yes | complemented |
| 168 | #15821 | C23 | 1 | 60 | yes | complemented |
| 169 | #15785 | C23 | 1 | 30 | yes | complemented |
| 170 | #15785 | C23 | 1 | 30 | yes | complemented |
| 171 | #15774 | C23 | 1 | 60 | yes | complemented |
| 172 | #15768 | C23 | 1 | 60 | yes | complemented |
| 173 | #15739 | C23 | 1 | 60 | yes | complemented |
| 174 | #15733 | C23 | 1 | 60 | yes | complemented |
| 175 | #15733 | C23 | 1 | 60 | yes | complemented |
| 176 | #15709 | C23 | 1 | 60 | yes | complemented |
| 177 | #15709 | C23 | 1 | 60 | yes | complemented |
| 178 | #15705 | C23 | 1 | 60 | yes | complemented |
| 179 | #15705 | C23 | 1 | 60 | yes | complemented |
| 180 | #15695 | C23 | 1 | 60 | yes | complemented |
| 181 | #15695 | C23 | 1 | 60 | yes | complemented |
| 182 | #15664 | C23 | 1 | 60 | yes | complemented |
| 183 | #15662 | C23 | 1 | 60 | yes | complemented |
| 184 | #15660 | C23 | 1 | 60 | yes | complemented |
| 185 | #15660 | C23 | 1 | 60 | yes | complemented |
| 186 | #15639 | C23 | 1 | 60 | yes | complemented |
| 187 | #15639 | C23 | 1 | 60 | yes | complemented |
| 188 | #15633 | C23 | 1 | 60 | yes | complemented |
| 189 | #15632 | C23 | 1 | 60 | yes | complemented |
| 190 | #15608 | C23 | 1 | 60 | yes | complemented |
| 191 | #15607 | C23 | 1 | 60 | yes | complemented |
| 192 | #15607 | C23 | 1 | 60 | yes | complemented |
| 193 | #15606 | C23 | 1 | 60 | yes | complemented |
| 194 | #15606 | C23 | 1 | 60 | yes | complemented |
| 195 | #15572 | C23 | 1 | 60 | yes | complemented |
| 196 | #15504 | C23 | 1 | 60 | yes | complemented |
| 197 | #15480 | C23 | 1 | 30 | yes | complemented |
| 198 | #15480 | C23 | 1 | 60 | yes | complemented |
| 199 | #15467 | C23 | 1 | 60 | yes | complemented |
| 200 | #15467 | C23 | 1 | 60 | yes | complemented |
| 201 | #15467 | C23 | 1 | 60 | yes | complemented |
| 202 | #15458 | C23 | 1 | 60 | yes | complemented |
| 203 | #15458 | C23 | 1 | 60 | yes | complemented |
| 204 | #15456 | C23 | 1 | 60 | yes | complemented |
| 205 | #15456 | C23 | 1 | 60 | yes | complemented |
| 206 | #15407 | C23 | 1 | 60 | yes | complemented |
| 207 | #15407 | C23 | 1 | 60 | yes | complemented |
| 208 | #15351 | C23 | 1 | 60 | yes | complemented |
| 209 | #15321 | C23 | 1 | 60 | yes | complemented |
| 210 | #15321 | C23 | 1 | 60 | yes | complemented |
| 211 | #15297 | C23 | 1 | 60 | yes | complemented |
| 212 | #15297 | C23 | 1 | 60 | yes | complemented |
| 213 | #15297 | C23 | 1 | 60 | yes | complemented |
| 214 | #15284 | C23 | 1 | 60 | yes | complemented |
| 215 | #15284 | C23 | 1 | 30 | yes | complemented |
| 216 | #15283 | C23 | 1 | 60 | yes | — |
| 217 | #15283 | C23 | 1 | 60 | yes | — |
| 218 | #15283 | C23 | 1 | 60 | yes | — |
| 219 | #15283 | C23 | 1 | 60 | yes | — |
| 220 | #15283 | C23 | 1 | 30 | yes | — |
| 221 | #15283 | C23 | 1 | 60 | yes | complemented |
| 222 | #15283 | C23 | 1 | 30 | yes | complemented |
| 223 | #15282 | C23 | 1 | 60 | yes | complemented |
| 224 | #15282 | C23 | 1 | 60 | yes | complemented |
| 225 | #15282 | C23 | 1 | 60 | yes | complemented |
| 226 | #15282 | C23 | 1 | 60 | yes | complemented |
| 227 | #15282 | C23 | 1 | 60 | yes | complemented |
| 228 | #15282 | C23 | 1 | 60 | yes | complemented |
| 229 | #15281 | C23 | 1 | 60 | yes | — |
| 230 | #15281 | C23 | 1 | 60 | yes | — |
| 231 | #15281 | C23 | 1 | 60 | yes | — |
| 232 | #15281 | C23 | 1 | 60 | yes | — |
| 233 | #15281 | C23 | 1 | 30 | yes | — |
| 234 | #15281 | C23 | 1 | 30 | yes | complemented |
| 235 | #15281 | C23 | 1 | 60 | yes | complemented |
| 236 | #15268 | C23 | 1 | 60 | yes | — |
| 237 | #15268 | C23 | 1 | 60 | yes | — |
| 238 | #15268 | C23 | 1 | 60 | yes | — |
| 239 | #15268 | C23 | 1 | 60 | yes | — |
| 240 | #15268 | C23 | 1 | 60 | yes | — |
| 241 | #15268 | C23 | 1 | 60 | yes | — |
| 242 | #15268 | C23 | 1 | 60 | yes | — |
| 243 | #15268 | C23 | 1 | 60 | yes | — |
| 244 | #15268 | C23 | 1 | 60 | yes | — |
| 245 | #15268 | C23 | 1 | 60 | yes | complemented |
| 246 | #15268 | C23 | 1 | 60 | yes | complemented |
| 247 | #15268 | C23 | 1 | 60 | yes | complemented |
| 248 | #15259 | C23 | 1 | 30 | yes | — |
| 249 | #15259 | C23 | 1 | 30 | yes | — |
| 250 | #15259 | C23 | 1 | 60 | yes | — |
| 251 | #15259 | C23 | 1 | 60 | yes | — |
| 252 | #15259 | C23 | 1 | 60 | yes | — |
| 253 | #15259 | C23 | 1 | 30 | yes | — |
| 254 | #15259 | C23 | 1 | 30 | yes | complemented |
| 255 | #15259 | C23 | 1 | 60 | yes | complemented |
| 256 | #14708 | C23 | 1 | 30 | yes | complemented |
| 257 | #14701 | C23 | 1 | 60 | yes | complemented |
| 258 | #14701 | C23 | 1 | 60 | yes | complemented |
| 259 | #14700 | C23 | 1 | 60 | yes | complemented |
| 260 | #14679 | C23 | 1 | 15 | yes | complemented |
| 261 | #14679 | C23 | 1 | 30 | yes | complemented |
| 262 | #14679 | C23 | 1 | 60 | yes | complemented |
| 263 | #14662 | C23 | 1 | 15 | yes | complemented |
| 264 | #14657 | C23 | 1 | 30 | yes | — |
| 265 | #14657 | C23 | 1 | 15 | yes | — |
| 266 | #14657 | C23 | 1 | 15 | yes | complemented |
| 267 | #14645 | C23 | 1 | 60 | yes | complemented |
| 268 | #14645 | C23 | 1 | 60 | yes | complemented |
| 269 | #14643 | C23 | 1 | 60 | yes | complemented |
| 270 | #14617 | C23 | 1 | 60 | yes | complemented |
| 271 | #14613 | C23 | 1 | 30 | yes | complemented |
| 272 | #14556 | C23 | 1 | 60 | yes | complemented |
| 273 | #14543 | C23 | 1 | 30 | yes | complemented |
| 274 | #14522 | C23 | 1 | 60 | yes | complemented |
| 275 | #14512 | C23 | 1 | 60 | yes | complemented |
| 276 | #14445 | C23 | 1 | 30 | yes | complemented |
| 277 | #14366 | C23 | 1 | 60 | yes | complemented |
| 278 | #14366 | C23 | 1 | 60 | yes | complemented |
| 279 | #14366 | C23 | 1 | 60 | yes | complemented |
| 280 | #14365 | C23 | 1 | 30 | yes | complemented |
| 281 | #14365 | C23 | 1 | 60 | yes | complemented |
| 282 | #14358 | C23 | 1 | 30 | yes | — |
| 283 | #14358 | C23 | 1 | 60 | yes | — |
| 284 | #14358 | C23 | 1 | 60 | yes | — |
| 285 | #14358 | C23 | 1 | 60 | yes | — |
| 286 | #14358 | C23 | 1 | 60 | yes | — |
| 287 | #14358 | C23 | 1 | 30 | yes | complemented |
| 288 | #14358 | C23 | 1 | 60 | yes | complemented |
| 289 | #13827 | C23 | 1 | 15 | yes | complemented |
| 290 | C27 | — | 8 | 30 | no | — |
| 291 | C27 | C24 | 1 | 15 | yes | — |
| 292 | C27 | C24 | 1 | 1 | yes | characteristic, complemented |
| 293 | C2×H(3,𝔽4) | — | 8 | 30 | no | — |
| 294 | C22×#125 | C24 | 1 | 15 | yes | complemented |
| 295 | C22×#124 | C24 | 1 | 15 | yes | — |
| 296 | C22×#124 | C24 | 1 | 30 | yes | — |
| 297 | C22×#120 | C24 | 1 | 10 | yes | — |
| 298 | C22×#120 | C24 | 1 | 5 | yes | — |
| 299 | C22×#120 | C24 | 1 | 30 | yes | — |
| 300 | C22×#120 | C24 | 1 | 60 | yes | — |
| 301 | C22×#120 | C24 | 1 | 30 | yes | — |
| 302 | C22×#120 | C24 | 1 | 60 | yes | — |
| 303 | C22×#120 | C24 | 1 | 60 | yes | — |
| 304 | C22×#120 | C24 | 1 | 30 | yes | — |
| 305 | C22×#120 | C24 | 1 | 15 | yes | — |
| 306 | C22×#120 | C24 | 1 | 30 | yes | — |
| 307 | C22×#120 | C24 | 1 | 20 | yes | — |
| 308 | #2861 | — | 8 | 30 | no | — |
| 309 | #2846 | — | 8 | 30 | no | — |
| 310 | #2846 | — | 8 | 60 | no | — |
| 311 | #2846 | — | 8 | 30 | no | — |
| 312 | #2846 | — | 8 | 120 | no | — |
| 313 | #2840 | — | 8 | 30 | no | — |
| 314 | #2820 | — | 8 | 60 | no | — |
| 315 | #2808 | — | 8 | 120 | no | — |
| 316 | #2735 | — | 8 | 120 | no | — |
| 317 | #2735 | — | 8 | 60 | no | — |
| 318 | #2679 | — | 8 | 60 | no | — |
| 319 | #2679 | — | 8 | 120 | no | — |
| 320 | C2×#399 | C24 | 1 | 30 | yes | — |
| 321 | C2×#399 | C24 | 1 | 60 | yes | — |
| 322 | C2×#399 | C24 | 1 | 30 | yes | complemented |
| 323 | C2×#397 | C24 | 1 | 30 | yes | — |
| 324 | C2×#397 | C24 | 1 | 60 | yes | — |
| 325 | C2×#397 | C24 | 1 | 60 | yes | — |
| 326 | C2×#397 | C24 | 1 | 60 | yes | — |
| 327 | C2×#397 | C24 | 1 | 60 | yes | — |
| 328 | C2×#397 | C24 | 1 | 30 | yes | complemented |
| 329 | C2×#397 | C24 | 1 | 60 | yes | complemented |
| 330 | C2×#396 | C24 | 1 | 60 | yes | — |
| 331 | C2×#396 | C24 | 1 | 60 | yes | — |
| 332 | C2×#396 | C24 | 1 | 60 | yes | — |
| 333 | C2×#396 | C24 | 1 | 60 | yes | complemented |
| 334 | C2×#395 | C24 | 1 | 60 | yes | complemented |
| 335 | C2×#394 | C24 | 1 | 60 | yes | — |
| 336 | C2×#394 | C24 | 1 | 60 | yes | — |
| 337 | C2×#394 | C24 | 1 | 60 | yes | — |
| 338 | C2×#394 | C24 | 1 | 60 | yes | — |
| 339 | C2×#394 | C24 | 1 | 60 | yes | — |
| 340 | C2×#394 | C24 | 1 | 60 | yes | — |
| 341 | C2×#394 | C24 | 1 | 60 | yes | — |
| 342 | C2×#394 | C24 | 1 | 60 | yes | — |
| 343 | C2×#394 | C24 | 1 | 60 | yes | — |
| 344 | C2×#393 | C24 | 1 | 60 | yes | — |
| 345 | C2×#393 | C24 | 1 | 60 | yes | — |
| 346 | C2×#393 | C24 | 1 | 60 | yes | — |
| 347 | C2×#393 | C24 | 1 | 60 | yes | complemented |
| 348 | C2×#391 | C24 | 1 | 60 | yes | complemented |
| 349 | C2×#391 | C24 | 1 | 30 | yes | complemented |
| 350 | C2×#390 | C24 | 1 | 60 | yes | — |
| 351 | C2×#390 | C24 | 1 | 30 | yes | — |
| 352 | C2×#390 | C24 | 1 | 60 | yes | — |
| 353 | C2×#390 | C24 | 1 | 60 | yes | — |
| 354 | C2×#390 | C24 | 1 | 60 | yes | — |
| 355 | C2×#389 | C24 | 1 | 60 | yes | complemented |
| 356 | C2×#388 | C24 | 1 | 60 | yes | — |
| 357 | C2×#388 | C24 | 1 | 60 | yes | — |
| 358 | C2×#388 | C24 | 1 | 60 | yes | — |
| 359 | C2×#388 | C24 | 1 | 60 | yes | — |
| 360 | C2×#388 | C24 | 1 | 60 | yes | — |
| 361 | C2×#388 | C24 | 1 | 60 | yes | — |
| 362 | C2×#388 | C24 | 1 | 60 | yes | — |
| 363 | C2×#388 | C24 | 1 | 60 | yes | — |
| 364 | C2×#388 | C24 | 1 | 60 | yes | — |
| 365 | C2×#388 | C24 | 1 | 60 | yes | complemented |
| 366 | C2×#388 | C24 | 1 | 60 | yes | complemented |
| 367 | C2×#388 | C24 | 1 | 60 | yes | complemented |
| 368 | C2×#387 | C24 | 1 | 60 | yes | complemented |
| 369 | C2×#387 | C24 | 1 | 60 | yes | complemented |
| 370 | C2×#382 | C24 | 1 | 30 | yes | complemented |
| 371 | C2×#379 | C24 | 1 | 15 | yes | — |
| 372 | C2×#379 | C24 | 1 | 30 | yes | — |
| 373 | C2×#379 | C24 | 1 | 60 | yes | — |
| 374 | C2×#379 | C24 | 1 | 60 | yes | — |
| 375 | C2×#379 | C24 | 1 | 60 | yes | — |
| 376 | C2×#379 | C24 | 1 | 30 | yes | — |
| 377 | C2×#379 | C24 | 1 | 60 | yes | — |
| 378 | C2×#379 | C24 | 1 | 60 | yes | — |
| 379 | C2×#379 | C24 | 1 | 30 | yes | — |
| 380 | C2×#379 | C24 | 1 | 60 | yes | — |
| 381 | C2×#379 | C24 | 1 | 60 | yes | — |
| 382 | C2×#379 | C24 | 1 | 60 | yes | — |
| 383 | C2×#379 | C24 | 1 | 60 | yes | — |
| 384 | C2×#379 | C24 | 1 | 30 | yes | — |
| 385 | C2×#379 | C24 | 1 | 60 | yes | — |
| 386 | C2×#379 | C24 | 1 | 60 | yes | complemented |
| 387 | C2×#379 | C24 | 1 | 30 | yes | complemented |
| 388 | C2×#379 | C24 | 1 | 15 | yes | complemented |
| 389 | C2×C43 | C24 | 1 | 15 | yes | complemented |
| 390 | #1446 | C24 | 1 | 15 | yes | complemented |
| 391 | #1446 | C24 | 1 | 15 | yes | complemented |
| 392 | #1445 | C24 | 1 | 60 | yes | complemented |
| 393 | #1445 | C24 | 1 | 60 | yes | complemented |
| 394 | #1445 | C24 | 1 | 60 | yes | complemented |
| 395 | #1444 | C24 | 1 | 60 | yes | complemented |
| 396 | #1444 | C24 | 1 | 60 | yes | complemented |
| 397 | #1443 | C24 | 1 | 60 | yes | complemented |
| 398 | #1443 | C24 | 1 | 60 | yes | complemented |
| 399 | #1443 | C24 | 1 | 60 | yes | complemented |
| 400 | #1443 | C24 | 1 | 60 | yes | complemented |
| 401 | #1442 | C24 | 1 | 60 | yes | complemented |
| 402 | #1442 | C24 | 1 | 60 | yes | complemented |
| 403 | #1442 | C24 | 1 | 60 | yes | complemented |
| 404 | #1442 | C24 | 1 | 60 | yes | complemented |
| 405 | #1442 | C24 | 1 | 60 | yes | complemented |
| 406 | #1442 | C24 | 1 | 60 | yes | complemented |
| 407 | #1441 | C24 | 1 | 60 | yes | complemented |
| 408 | #1441 | C24 | 1 | 60 | yes | complemented |
| 409 | #1441 | C24 | 1 | 60 | yes | complemented |
| 410 | #1441 | C24 | 1 | 60 | yes | complemented |
| 411 | #1441 | C24 | 1 | 60 | yes | complemented |
| 412 | #1441 | C24 | 1 | 60 | yes | complemented |
| 413 | #1440 | C24 | 1 | 60 | yes | — |
| 414 | #1440 | C24 | 1 | 60 | yes | — |
| 415 | #1440 | C24 | 1 | 60 | yes | — |
| 416 | #1440 | C24 | 1 | 60 | yes | — |
| 417 | #1440 | C24 | 1 | 15 | yes | — |
| 418 | #1440 | C24 | 1 | 60 | yes | — |
| 419 | #1440 | C24 | 1 | 60 | yes | — |
| 420 | #1440 | C24 | 1 | 60 | yes | — |
| 421 | #1440 | C24 | 1 | 60 | yes | — |
| 422 | #1440 | C24 | 1 | 60 | yes | — |
| 423 | #1440 | C24 | 1 | 60 | yes | — |
| 424 | #1440 | C24 | 1 | 60 | yes | — |
| 425 | #1440 | C24 | 1 | 30 | yes | — |
| 426 | #1440 | C24 | 1 | 15 | yes | — |
| 427 | #1440 | C24 | 1 | 60 | yes | — |
| 428 | #1440 | C24 | 1 | 30 | yes | — |
| 429 | #1440 | C24 | 1 | 60 | yes | complemented |
| 430 | #1440 | C24 | 1 | 60 | yes | complemented |
| 431 | #1440 | C24 | 1 | 60 | yes | complemented |
| 432 | #1440 | C24 | 1 | 60 | yes | complemented |
| 433 | #1440 | C24 | 1 | 15 | yes | complemented |
| 434 | #1440 | C24 | 1 | 15 | yes | complemented |
| 435 | #1439 | C24 | 1 | 60 | yes | — |
| 436 | #1439 | C24 | 1 | 60 | yes | — |
| 437 | #1439 | C24 | 1 | 60 | yes | — |
| 438 | #1439 | C24 | 1 | 60 | yes | — |
| 439 | #1439 | C24 | 1 | 60 | yes | — |
| 440 | #1439 | C24 | 1 | 60 | yes | — |
| 441 | #1439 | C24 | 1 | 60 | yes | — |
| 442 | #1439 | C24 | 1 | 60 | yes | — |
| 443 | #1439 | C24 | 1 | 60 | yes | — |
| 444 | #1439 | C24 | 1 | 60 | yes | — |
| 445 | #1439 | C24 | 1 | 60 | yes | — |
| 446 | #1439 | C24 | 1 | 60 | yes | — |
| 447 | #1439 | C24 | 1 | 60 | yes | — |
| 448 | #1439 | C24 | 1 | 60 | yes | — |
| 449 | #1439 | C24 | 1 | 60 | yes | — |
| 450 | #1439 | C24 | 1 | 60 | yes | — |
| 451 | #1439 | C24 | 1 | 60 | yes | — |
| 452 | #1439 | C24 | 1 | 60 | yes | — |
| 453 | #1439 | C24 | 1 | 60 | yes | — |
| 454 | #1439 | C24 | 1 | 60 | yes | — |
| 455 | #1439 | C24 | 1 | 60 | yes | — |
| 456 | #1439 | C24 | 1 | 60 | yes | — |
| 457 | #1439 | C24 | 1 | 60 | yes | — |
| 458 | #1439 | C24 | 1 | 60 | yes | — |
| 459 | #1439 | C24 | 1 | 60 | yes | — |
| 460 | #1439 | C24 | 1 | 60 | yes | — |
| 461 | #1439 | C24 | 1 | 60 | yes | — |
| 462 | #1439 | C24 | 1 | 60 | yes | complemented |
| 463 | #1439 | C24 | 1 | 60 | yes | complemented |
| 464 | #1439 | C24 | 1 | 60 | yes | complemented |
| 465 | #1439 | C24 | 1 | 60 | yes | complemented |
| 466 | #1439 | C24 | 1 | 60 | yes | complemented |
| 467 | #1439 | C24 | 1 | 60 | yes | complemented |
| 468 | #1439 | C24 | 1 | 60 | yes | complemented |
| 469 | #1439 | C24 | 1 | 60 | yes | complemented |
| 470 | #1439 | C24 | 1 | 60 | yes | complemented |
| 471 | #1438 | C24 | 1 | 30 | yes | — |
| 472 | #1438 | C24 | 1 | 60 | yes | — |
| 473 | #1438 | C24 | 1 | 60 | yes | — |
| 474 | #1438 | C24 | 1 | 60 | yes | — |
| 475 | #1438 | C24 | 1 | 60 | yes | — |
| 476 | #1438 | C24 | 1 | 60 | yes | — |
| 477 | #1438 | C24 | 1 | 60 | yes | — |
| 478 | #1438 | C24 | 1 | 60 | yes | — |
| 479 | #1438 | C24 | 1 | 30 | yes | — |
| 480 | #1438 | C24 | 1 | 60 | yes | — |
| 481 | #1438 | C24 | 1 | 60 | yes | — |
| 482 | #1438 | C24 | 1 | 60 | yes | — |
| 483 | #1438 | C24 | 1 | 60 | yes | — |
| 484 | #1438 | C24 | 1 | 60 | yes | — |
| 485 | #1438 | C24 | 1 | 60 | yes | — |
| 486 | #1438 | C24 | 1 | 60 | yes | — |
| 487 | #1438 | C24 | 1 | 60 | yes | — |
| 488 | #1438 | C24 | 1 | 60 | yes | — |
| 489 | #1438 | C24 | 1 | 30 | yes | — |
| 490 | #1438 | C24 | 1 | 60 | yes | — |
| 491 | #1438 | C24 | 1 | 60 | yes | — |
| 492 | #1438 | C24 | 1 | 30 | yes | — |
| 493 | #1438 | C24 | 1 | 60 | yes | — |
| 494 | #1438 | C24 | 1 | 60 | yes | — |
| 495 | #1438 | C24 | 1 | 30 | yes | — |
| 496 | #1437 | C24 | 1 | 60 | yes | — |
| 497 | #1437 | C24 | 1 | 60 | yes | — |
| 498 | #1437 | C24 | 1 | 60 | yes | — |
| 499 | #1437 | C24 | 1 | 60 | yes | — |
| 500 | #1437 | C24 | 1 | 60 | yes | — |
| 501 | #1437 | C24 | 1 | 60 | yes | — |
| 502 | #1437 | C24 | 1 | 30 | yes | — |
| 503 | #1437 | C24 | 1 | 60 | yes | — |
| 504 | #1437 | C24 | 1 | 60 | yes | — |
| 505 | #1437 | C24 | 1 | 60 | yes | — |
| 506 | #1437 | C24 | 1 | 60 | yes | — |
| 507 | #1437 | C24 | 1 | 60 | yes | — |
| 508 | #1437 | C24 | 1 | 30 | yes | — |
| 509 | #1437 | C24 | 1 | 60 | yes | complemented |
| 510 | #1437 | C24 | 1 | 60 | yes | complemented |
| 511 | #1437 | C24 | 1 | 30 | yes | complemented |
| 512 | #1437 | C24 | 1 | 30 | yes | complemented |
| 513 | #1437 | C24 | 1 | 60 | yes | complemented |
| 514 | #1436 | C24 | 1 | 60 | yes | complemented |
| 515 | #1436 | C24 | 1 | 60 | yes | complemented |
| 516 | #1436 | C24 | 1 | 60 | yes | complemented |
| 517 | #1436 | C24 | 1 | 60 | yes | complemented |
| 518 | #1436 | C24 | 1 | 60 | yes | complemented |
| 519 | #1436 | C24 | 1 | 60 | yes | complemented |
| 520 | #1436 | C24 | 1 | 60 | yes | complemented |
| 521 | #1436 | C24 | 1 | 60 | yes | complemented |
| 522 | C4⋊#95 | C24 | 1 | 60 | yes | complemented |
| 523 | C4⋊#95 | C24 | 1 | 60 | yes | complemented |
| 524 | #1434 | C24 | 1 | 60 | yes | complemented |
| 525 | #1434 | C24 | 1 | 60 | yes | complemented |
| 526 | #1434 | C24 | 1 | 60 | yes | complemented |
| 527 | #1434 | C24 | 1 | 60 | yes | complemented |
| 528 | C26 | — | 4 | 60 | no | — |
| 529 | C26 | — | 4 | 30 | no | — |
| 530 | C26 | — | 4 | 120 | no | — |
| 531 | C26 | — | 8 | 60 | no | — |
| 532 | C26 | — | 8 | 60 | no | — |
| 533 | C26 | — | 8 | 15 | no | — |
| 534 | C26 | — | 8 | 160 | no | — |
| 535 | C26 | — | 8 | 960 | no | — |
| 536 | C26 | C25 | 1 | 5 | yes | — |
| 537 | C26 | C25 | 1 | 30 | yes | — |
| 538 | C26 | C25 | 1 | 1 | yes | characteristic |
| 539 | C26 | C25 | 1 | 4 | yes | — |
| 540 | C26 | C25 | 1 | 2 | yes | — |
| 541 | C23×Q8 | C25 | 1 | 15 | yes | — |
| 542 | C23×D4 | C25 | 1 | 60 | yes | — |
| 543 | C23×D4 | C25 | 1 | 15 | yes | — |
| 544 | C23×D4 | C25 | 1 | 30 | yes | — |
| 545 | H(3,𝔽4) | — | 8 | 160 | no | — |
| 546 | C2×#125 | — | 8 | 30 | no | — |
| 547 | C2×#125 | — | 8 | 15 | no | — |
| 548 | C2×#124 | — | 4 | 60 | no | — |
| 549 | C2×#124 | — | 4 | 30 | no | — |
| 550 | C2×#124 | — | 8 | 30 | no | — |
| 551 | C2×#124 | — | 8 | 30 | no | — |
| 552 | C2×#124 | — | 8 | 30 | no | — |
| 553 | C2×#120 | — | 4 | 60 | no | — |
| 554 | C2×#120 | — | 4 | 30 | no | — |
| 555 | C2×#120 | — | 4 | 120 | no | — |
| 556 | C2×#120 | — | 4 | 60 | no | — |
| 557 | C2×#120 | — | 4 | 120 | no | — |
| 558 | C2×#120 | — | 4 | 120 | no | — |
| 559 | C2×#120 | — | 4 | 120 | no | — |
| 560 | C2×#120 | — | 4 | 30 | no | — |
| 561 | C2×#120 | — | 4 | 60 | no | — |
| 562 | C2×#120 | — | 4 | 120 | no | — |
| 563 | C2×#120 | — | 8 | 30 | no | — |
| 564 | C2×#120 | — | 8 | 60 | no | — |
| 565 | C2×#120 | — | 8 | 30 | no | — |
| 566 | C2×#120 | — | 8 | 60 | no | — |
| 567 | C2×#120 | — | 8 | 60 | no | — |
| 568 | C2×#120 | — | 8 | 60 | no | — |
| 569 | C2×#120 | — | 8 | 60 | no | — |
| 570 | C2×#120 | — | 8 | 60 | no | — |
| 571 | C2×#120 | — | 8 | 30 | no | — |
| 572 | C2×#120 | — | 8 | 60 | no | — |
| 573 | C2×#120 | — | 8 | 60 | no | — |
| 574 | C2×#120 | — | 8 | 60 | no | — |
| 575 | C22×C4⋊C4 | C25 | 1 | 60 | yes | — |
| 576 | C22×C4⋊C4 | C25 | 1 | 60 | yes | — |
| 577 | C22×C4⋊C4 | C25 | 1 | 60 | yes | — |
| 578 | C22×C4⋊C4 | C25 | 1 | 60 | yes | — |
| 579 | C22×C4⋊C4 | C25 | 1 | 30 | yes | — |
| 580 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 581 | C22×C22⋊C4 | C25 | 1 | 30 | yes | — |
| 582 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 583 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 584 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 585 | C22×C22⋊C4 | C25 | 1 | 30 | yes | — |
| 586 | C22×C22⋊C4 | C25 | 1 | 15 | yes | — |
| 587 | C22×C22⋊C4 | C25 | 1 | 30 | yes | — |
| 588 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 589 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 590 | C22×C22⋊C4 | C25 | 1 | 30 | yes | — |
| 591 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 592 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 593 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 594 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 595 | C22×C22⋊C4 | C25 | 1 | 30 | yes | — |
| 596 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 597 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 598 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 599 | C22×C22⋊C4 | C25 | 1 | 60 | yes | — |
| 600 | C22×C22⋊C4 | C25 | 1 | 30 | yes | — |
| 601 | C22×C22⋊C4 | C25 | 1 | 15 | yes | — |
| 602 | C22×C42 | C25 | 1 | 15 | yes | — |
| 603 | C22×C42 | C25 | 1 | 60 | yes | — |
| 604 | C22×C42 | C25 | 1 | 30 | yes | — |
| 605 | #399 | — | 4 | 60 | no | — |
| 606 | #399 | — | 8 | 30 | no | — |
| 607 | #399 | — | 8 | 60 | no | — |
| 608 | #397 | — | 4 | 60 | no | — |
| 609 | #397 | — | 4 | 120 | no | — |
| 610 | #397 | — | 8 | 30 | no | — |
| 611 | #397 | — | 8 | 60 | no | — |
| 612 | #397 | — | 8 | 60 | no | — |
| 613 | #397 | — | 8 | 60 | no | — |
| 614 | #397 | — | 8 | 60 | no | — |
| 615 | #396 | — | 4 | 120 | no | — |
| 616 | #396 | — | 8 | 60 | no | — |
| 617 | #396 | — | 8 | 60 | no | — |
| 618 | #396 | — | 8 | 60 | no | — |
| 619 | #395 | — | 8 | 60 | no | — |
| 620 | #394 | — | 4 | 120 | no | — |
| 621 | #394 | — | 4 | 120 | no | — |
| 622 | #394 | — | 4 | 120 | no | — |
| 623 | #394 | — | 8 | 60 | no | — |
| 624 | #394 | — | 8 | 60 | no | — |
| 625 | #394 | — | 8 | 60 | no | — |
| 626 | #394 | — | 8 | 60 | no | — |
| 627 | #394 | — | 8 | 60 | no | — |
| 628 | #394 | — | 8 | 60 | no | — |
| 629 | #393 | — | 4 | 120 | no | — |
| 630 | #393 | — | 8 | 60 | no | — |
| 631 | #393 | — | 8 | 60 | no | — |
| 632 | #393 | — | 8 | 60 | no | — |
| 633 | #391 | — | 8 | 30 | no | — |
| 634 | #391 | — | 8 | 60 | no | — |
| 635 | #390 | — | 4 | 60 | no | — |
| 636 | #390 | — | 4 | 120 | no | — |
| 637 | #390 | — | 8 | 60 | no | — |
| 638 | #390 | — | 8 | 60 | no | — |
| 639 | #390 | — | 8 | 60 | no | — |
| 640 | #389 | — | 8 | 60 | no | — |
| 641 | #388 | — | 4 | 120 | no | — |
| 642 | #388 | — | 4 | 120 | no | — |
| 643 | #388 | — | 4 | 120 | no | — |
| 644 | #388 | — | 8 | 60 | no | — |
| 645 | #388 | — | 8 | 60 | no | — |
| 646 | #388 | — | 8 | 60 | no | — |
| 647 | #388 | — | 8 | 60 | no | — |
| 648 | #388 | — | 8 | 60 | no | — |
| 649 | #388 | — | 8 | 60 | no | — |
| 650 | #388 | — | 8 | 60 | no | — |
| 651 | #388 | — | 8 | 60 | no | — |
| 652 | #388 | — | 8 | 60 | no | — |
| 653 | #387 | — | 8 | 60 | no | — |
| 654 | #387 | — | 8 | 60 | no | — |
| 655 | #382 | — | 8 | 30 | no | — |
| 656 | #379 | — | 4 | 30 | no | — |
| 657 | #379 | — | 4 | 60 | no | — |
| 658 | #379 | — | 4 | 120 | no | — |
| 659 | #379 | — | 4 | 60 | no | — |
| 660 | #379 | — | 4 | 120 | no | — |
| 661 | #379 | — | 4 | 120 | no | — |
| 662 | #379 | — | 4 | 120 | no | — |
| 663 | #379 | — | 8 | 30 | no | — |
| 664 | #379 | — | 8 | 60 | no | — |
| 665 | #379 | — | 8 | 60 | no | — |
| 666 | #379 | — | 8 | 30 | no | — |
| 667 | #379 | — | 8 | 60 | no | — |
| 668 | #379 | — | 8 | 60 | no | — |
| 669 | #379 | — | 8 | 60 | no | — |
| 670 | #379 | — | 8 | 60 | no | — |
| 671 | #379 | — | 8 | 30 | no | — |
| 672 | #379 | — | 8 | 60 | no | — |
| 673 | #379 | — | 8 | 15 | no | — |
| 674 | C2×#95 | C25 | 1 | 60 | yes | — |
| 675 | C2×#95 | C25 | 1 | 60 | yes | — |
| 676 | C2×#95 | C25 | 1 | 60 | yes | — |
| 677 | C2×#95 | C25 | 1 | 60 | yes | — |
| 678 | C2×#95 | C25 | 1 | 60 | yes | — |
| 679 | C2×#95 | C25 | 1 | 60 | yes | — |
| 680 | C2×#95 | C25 | 1 | 60 | yes | — |
| 681 | C2×#95 | C25 | 1 | 60 | yes | — |
| 682 | C2×#95 | C25 | 1 | 60 | yes | — |
| 683 | C2×#95 | C25 | 1 | 60 | yes | — |
| 684 | C2×#95 | C25 | 1 | 60 | yes | — |
| 685 | C2×#95 | C25 | 1 | 60 | yes | — |
| 686 | C2×#95 | C25 | 1 | 60 | yes | — |
| 687 | C2×#95 | C25 | 1 | 30 | yes | — |
| 688 | C2×#95 | C25 | 1 | 60 | yes | — |
| 689 | C2×#95 | C25 | 1 | 60 | yes | — |
| 690 | C2×#95 | C25 | 1 | 60 | yes | — |
| 691 | C2×#95 | C25 | 1 | 60 | yes | — |
| 692 | C2×#95 | C25 | 1 | 30 | yes | — |
| 693 | C43 | — | 8 | 15 | no | — |
| 694 | C25 | — | 2 | 30 | no | — |
| 695 | C25 | — | 2 | 60 | no | — |
| 696 | C25 | — | 2 | 120 | no | — |
| 697 | C25 | — | 4 | 30 | no | — |
| 698 | C25 | — | 4 | 60 | no | — |
| 699 | C25 | — | 4 | 60 | no | — |
| 700 | C25 | — | 4 | 60 | no | — |
| 701 | C25 | — | 4 | 60 | no | — |
| 702 | C25 | — | 4 | 30 | no | — |
| 703 | C25 | — | 4 | 60 | no | — |
| 704 | C25 | — | 4 | 60 | no | — |
| 705 | C25 | — | 4 | 15 | no | — |
| 706 | C25 | — | 4 | 30 | no | — |
| 707 | C25 | — | 4 | 60 | no | — |
| 708 | C25 | — | 8 | 120 | no | — |
| 709 | C25 | — | 8 | 240 | no | — |
| 710 | C25 | — | 8 | 480 | no | — |
| 711 | C25 | — | 8 | 480 | no | — |
| 712 | C25 | — | 8 | 480 | no | — |
| 713 | C25 | — | 8 | 240 | no | — |
| 714 | C25 | — | 8 | 480 | no | — |
| 715 | C25 | — | 8 | 480 | no | — |
| 716 | C25 | — | 8 | 240 | no | — |
| 717 | C25 | — | 8 | 480 | no | — |
| 718 | C25 | — | 8 | 480 | no | — |
| 719 | C25 | — | 8 | 7680 | no | — |
| 720 | C25 | — | 16 | 20 | no | — |
| 721 | C25 | — | 16 | 120 | no | — |
| 722 | C25 | C26 | 1 | 4 | yes | — |
| 723 | C25 | C26 | 1 | 2 | yes | — |
| 724 | C25 | C26 | 1 | 1 | yes | characteristic |
| 725 | C25 | C26 | 1 | 15 | yes | — |
| 726 | C22×Q8 | — | 4 | 15 | no | — |
| 727 | C22×Q8 | — | 4 | 30 | no | — |
| 728 | C22×Q8 | — | 4 | 60 | no | — |
| 729 | C22×D4 | — | 2 | 30 | no | — |
| 730 | C22×D4 | — | 2 | 60 | no | — |
| 731 | C22×D4 | — | 2 | 120 | no | — |
| 732 | C22×D4 | — | 4 | 30 | no | — |
| 733 | C22×D4 | — | 4 | 30 | no | — |
| 734 | C22×D4 | — | 4 | 30 | no | — |
| 735 | C22×D4 | — | 4 | 60 | no | — |
| 736 | C22×D4 | — | 4 | 60 | no | — |
| 737 | C22×D4 | — | 4 | 60 | no | — |
| 738 | C22×D4 | — | 4 | 60 | no | — |
| 739 | C22×D4 | — | 4 | 60 | no | — |
| 740 | C22×D4 | — | 4 | 60 | no | — |
| 741 | C22×D4 | — | 4 | 60 | no | — |
| 742 | C22×D4 | — | 4 | 60 | no | — |
| 743 | C22×D4 | — | 4 | 60 | no | — |
| 744 | C23×C4 | C26 | 1 | 60 | yes | — |
| 745 | C23×C4 | C26 | 1 | 30 | yes | — |
| 746 | C23×C4 | C26 | 1 | 15 | yes | — |
| 747 | #125 | — | 16 | 60 | no | — |
| 748 | #124 | — | 8 | 240 | no | — |
| 749 | #124 | — | 8 | 120 | no | — |
| 750 | #120 | — | 8 | 80 | no | — |
| 751 | #120 | — | 8 | 40 | no | — |
| 752 | #120 | — | 8 | 120 | no | — |
| 753 | #120 | — | 16 | 240 | no | — |
| 754 | #120 | — | 16 | 120 | no | — |
| 755 | #120 | — | 16 | 120 | no | — |
| 756 | #120 | — | 16 | 240 | no | — |
| 757 | #120 | — | 16 | 240 | no | — |
| 758 | #120 | — | 16 | 120 | no | — |
| 759 | #120 | — | 16 | 80 | no | — |
| 760 | #120 | — | 16 | 120 | no | — |
| 761 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 762 | C2×C4⋊C4 | — | 4 | 30 | no | — |
| 763 | C2×C4⋊C4 | — | 4 | 30 | no | — |
| 764 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 765 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 766 | C2×C4⋊C4 | — | 4 | 30 | no | — |
| 767 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 768 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 769 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 770 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 771 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 772 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 773 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 774 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 775 | C2×C4⋊C4 | — | 4 | 60 | no | — |
| 776 | C2×C22⋊C4 | — | 2 | 60 | no | — |
| 777 | C2×C22⋊C4 | — | 2 | 30 | no | — |
| 778 | C2×C22⋊C4 | — | 2 | 120 | no | — |
| 779 | C2×C22⋊C4 | — | 2 | 60 | no | — |
| 780 | C2×C22⋊C4 | — | 2 | 120 | no | — |
| 781 | C2×C22⋊C4 | — | 2 | 120 | no | — |
| 782 | C2×C22⋊C4 | — | 2 | 120 | no | — |
| 783 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 784 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 785 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 786 | C2×C22⋊C4 | — | 4 | 15 | no | — |
| 787 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 788 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 789 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 790 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 791 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 792 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 793 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 794 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 795 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 796 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 797 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 798 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 799 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 800 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 801 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 802 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 803 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 804 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 805 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 806 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 807 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 808 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 809 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 810 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 811 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 812 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 813 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 814 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 815 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 816 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 817 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 818 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 819 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 820 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 821 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 822 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 823 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 824 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 825 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 826 | C2×C22⋊C4 | — | 4 | 30 | no | — |
| 827 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 828 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 829 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 830 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 831 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 832 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 833 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 834 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 835 | C2×C22⋊C4 | — | 4 | 60 | no | — |
| 836 | C2×C42 | — | 4 | 15 | no | — |
| 837 | C2×C42 | — | 4 | 30 | no | — |
| 838 | C2×C42 | — | 4 | 60 | no | — |
| 839 | C2×C42 | — | 4 | 30 | no | — |
| 840 | C2×C42 | — | 4 | 60 | no | — |
| 841 | C2×C42 | — | 4 | 60 | no | — |
| 842 | C2×C42 | — | 4 | 60 | no | — |
| 843 | #95 | — | 4 | 30 | no | — |
| 844 | #95 | — | 4 | 60 | no | — |
| 845 | #95 | — | 4 | 30 | no | — |
| 846 | #95 | — | 4 | 60 | no | — |
| 847 | #95 | — | 4 | 60 | no | — |
| 848 | #95 | — | 4 | 60 | no | — |
| 849 | #95 | — | 4 | 60 | no | — |
| 850 | #95 | — | 4 | 60 | no | — |
| 851 | #95 | — | 4 | 60 | no | — |
| 852 | #95 | — | 4 | 60 | no | — |
| 853 | #95 | — | 4 | 60 | no | — |
| 854 | #95 | — | 4 | 60 | no | — |
| 855 | #95 | — | 4 | 60 | no | — |
| 856 | #95 | — | 4 | 60 | no | — |
| 857 | #95 | — | 4 | 60 | no | — |
| 858 | #95 | — | 4 | 60 | no | — |
| 859 | #95 | — | 4 | 60 | no | — |
| 860 | #95 | — | 4 | 60 | no | — |
| 861 | #95 | — | 4 | 60 | no | — |
| 862 | C24 | — | 2 | 40 | no | — |
| 863 | C24 | — | 2 | 30 | no | — |
| 864 | C24 | — | 2 | 60 | no | — |
| 865 | C24 | — | 2 | 60 | no | — |
| 866 | C24 | — | 2 | 60 | no | — |
| 867 | C24 | — | 2 | 15 | no | — |
| 868 | C24 | — | 2 | 30 | no | — |
| 869 | C24 | — | 2 | 60 | no | — |
| 870 | C24 | — | 4 | 120 | no | — |
| 871 | C24 | — | 4 | 240 | no | — |
| 872 | C24 | — | 4 | 240 | no | — |
| 873 | C24 | — | 4 | 120 | no | — |
| 874 | C24 | — | 4 | 80 | no | — |
| 875 | C24 | — | 4 | 120 | no | — |
| 876 | C24 | — | 4 | 20 | no | — |
| 877 | C24 | — | 8 | 60 | no | — |
| 878 | C24 | — | 8 | 120 | no | — |
| 879 | C24 | — | 8 | 60 | no | — |
| 880 | C24 | — | 8 | 120 | no | — |
| 881 | C24 | — | 8 | 120 | no | — |
| 882 | C24 | — | 8 | 120 | no | — |
| 883 | C24 | — | 8 | 60 | no | — |
| 884 | C24 | — | 8 | 120 | no | — |
| 885 | C24 | — | 8 | 120 | no | — |
| 886 | C24 | — | 8 | 120 | no | — |
| 887 | C24 | — | 8 | 60 | no | — |
| 888 | C24 | — | 8 | 120 | no | — |
| 889 | C24 | — | 8 | 120 | no | — |
| 890 | C24 | — | 8 | 120 | no | — |
| 891 | C24 | — | 8 | 120 | no | — |
| 892 | C24 | — | 8 | 120 | no | — |
| 893 | C24 | — | 8 | 60 | no | — |
| 894 | C24 | — | 8 | 120 | no | — |
| 895 | C24 | — | 8 | 120 | no | — |
| 896 | C24 | — | 8 | 60 | no | — |
| 897 | C24 | — | 8 | 120 | no | — |
| 898 | C24 | — | 8 | 1920 | no | — |
| 899 | C24 | — | 8 | 960 | no | — |
| 900 | C24 | — | 8 | 3840 | no | — |
| 901 | C24 | — | 8 | 3840 | no | — |
| 902 | C24 | — | 8 | 3840 | no | — |
| 903 | C24 | — | 8 | 8192 | no | — |
| 904 | C24 | — | 16 | 10 | no | — |
| 905 | C24 | — | 16 | 20 | no | — |
| 906 | C24 | — | 16 | 30 | no | — |
| 907 | C24 | — | 16 | 30 | no | — |
| 908 | C24 | — | 16 | 60 | no | — |
| 909 | C24 | — | 16 | 480 | no | — |
| 910 | C24 | H(7,𝔽2) | 1 | 30 | yes | — |
| 911 | C24 | C27 | 1 | 1 | yes | characteristic |
| 912 | C2×Q8 | — | 8 | 30 | no | — |
| 913 | C2×Q8 | — | 16 | 30 | no | — |
| 914 | C2×Q8 | — | 16 | 60 | no | — |
| 915 | C2×D4 | — | 8 | 30 | no | — |
| 916 | C2×D4 | — | 8 | 60 | no | — |
| 917 | C2×D4 | — | 8 | 120 | no | — |
| 918 | C2×D4 | — | 8 | 60 | no | — |
| 919 | C2×D4 | — | 8 | 120 | no | — |
| 920 | C2×D4 | — | 8 | 120 | no | — |
| 921 | C2×D4 | — | 8 | 120 | no | — |
| 922 | C2×D4 | — | 16 | 60 | no | — |
| 923 | C2×D4 | — | 16 | 60 | no | — |
| 924 | C2×D4 | — | 16 | 60 | no | — |
| 925 | C2×D4 | — | 16 | 60 | no | — |
| 926 | C2×D4 | — | 16 | 60 | no | — |
| 927 | C2×D4 | — | 16 | 30 | no | — |
| 928 | C2×D4 | — | 16 | 60 | no | — |
| 929 | C2×D4 | — | 16 | 30 | no | — |
| 930 | C22×C4 | — | 2 | 60 | no | — |
| 931 | C22×C4 | — | 2 | 60 | no | — |
| 932 | C22×C4 | — | 2 | 60 | no | — |
| 933 | C22×C4 | — | 2 | 60 | no | — |
| 934 | C22×C4 | — | 2 | 60 | no | — |
| 935 | C22×C4 | — | 2 | 60 | no | — |
| 936 | C22×C4 | — | 2 | 60 | no | — |
| 937 | C22×C4 | — | 2 | 60 | no | — |
| 938 | C22×C4 | — | 2 | 30 | no | — |
| 939 | C22×C4 | — | 2 | 30 | no | — |
| 940 | C22×C4 | — | 2 | 60 | no | — |
| 941 | C22×C4 | — | 2 | 30 | no | — |
| 942 | C22×C4 | — | 2 | 60 | no | — |
| 943 | C22×C4 | — | 2 | 30 | no | — |
| 944 | C22×C4 | — | 2 | 15 | no | — |
| 945 | C4⋊C4 | — | 16 | 60 | no | — |
| 946 | C4⋊C4 | — | 16 | 60 | no | — |
| 947 | C4⋊C4 | — | 16 | 60 | no | — |
| 948 | C4⋊C4 | — | 16 | 60 | no | — |
| 949 | C4⋊C4 | — | 16 | 30 | no | — |
| 950 | C22⋊C4 | — | 8 | 60 | no | — |
| 951 | C22⋊C4 | — | 8 | 30 | no | — |
| 952 | C22⋊C4 | — | 8 | 120 | no | — |
| 953 | C22⋊C4 | — | 8 | 120 | no | — |
| 954 | C22⋊C4 | — | 8 | 120 | no | — |
| 955 | C22⋊C4 | — | 8 | 120 | no | — |
| 956 | C22⋊C4 | — | 8 | 60 | no | — |
| 957 | C22⋊C4 | — | 8 | 30 | no | — |
| 958 | C22⋊C4 | — | 8 | 60 | no | — |
| 959 | C22⋊C4 | — | 8 | 60 | no | — |
| 960 | C22⋊C4 | — | 8 | 120 | no | — |
| 961 | C22⋊C4 | — | 16 | 60 | no | — |
| 962 | C22⋊C4 | — | 16 | 60 | no | — |
| 963 | C22⋊C4 | — | 16 | 60 | no | — |
| 964 | C22⋊C4 | — | 16 | 60 | no | — |
| 965 | C22⋊C4 | — | 16 | 60 | no | — |
| 966 | C22⋊C4 | — | 16 | 60 | no | — |
| 967 | C22⋊C4 | — | 16 | 30 | no | — |
| 968 | C22⋊C4 | — | 16 | 60 | no | — |
| 969 | C22⋊C4 | — | 16 | 60 | no | — |
| 970 | C22⋊C4 | — | 16 | 30 | no | — |
| 971 | C22⋊C4 | — | 16 | 60 | no | — |
| 972 | C42 | — | 4 | 60 | no | — |
| 973 | C42 | — | 16 | 60 | no | — |
| 974 | C42 | — | 16 | 30 | no | — |
| 975 | C23 | — | 2 | 30 | no | — |
| 976 | C23 | — | 2 | 120 | no | — |
| 977 | C23 | — | 2 | 60 | no | — |
| 978 | C23 | — | 4 | 60 | no | — |
| 979 | C23 | — | 4 | 30 | no | — |
| 980 | C23 | — | 4 | 60 | no | — |
| 981 | C23 | — | 4 | 60 | no | — |
| 982 | C23 | — | 4 | 60 | no | — |
| 983 | C23 | — | 4 | 60 | no | — |
| 984 | C23 | — | 4 | 60 | no | — |
| 985 | C23 | — | 4 | 30 | no | — |
| 986 | C23 | — | 4 | 5 | no | — |
| 987 | C23 | — | 4 | 10 | no | — |
| 988 | C23 | — | 4 | 20 | no | — |
| 989 | C23 | — | 4 | 30 | no | — |
| 990 | C23 | — | 4 | 60 | no | — |
| 991 | C23 | — | 4 | 30 | no | — |
| 992 | C23 | — | 4 | 60 | no | — |
| 993 | C23 | — | 4 | 30 | no | — |
| 994 | C23 | — | 8 | 120 | no | — |
| 995 | C23 | — | 8 | 240 | no | — |
| 996 | C23 | — | 8 | 480 | no | — |
| 997 | C23 | — | 8 | 480 | no | — |
| 998 | C23 | — | 8 | 480 | no | — |
| 999 | C23 | — | 8 | 240 | no | — |
| 1000 | C23 | — | 8 | 480 | no | — |
| 1001 | C23 | — | 8 | 240 | no | — |
| 1002 | C23 | — | 8 | 480 | no | — |
| 1003 | C23 | — | 8 | 480 | no | — |
| 1004 | C23 | — | 8 | 7680 | no | — |
| 1005 | C23 | — | 8 | 480 | no | — |
| 1006 | C23 | — | 16 | 60 | no | — |
| 1007 | C23 | — | 16 | 120 | no | — |
| 1008 | C23 | — | 16 | 240 | no | — |
| 1009 | C23 | — | 16 | 256 | no | — |
| 1010 | C23 | C2×H(7,𝔽2) | 1 | 15 | yes | — |
| 1011 | Q8 | — | 32 | 30 | no | — |
| 1012 | D4 | — | 32 | 120 | no | — |
| 1013 | D4 | — | 32 | 30 | no | — |
| 1014 | D4 | — | 32 | 60 | no | — |
| 1015 | C2×C4 | — | 4 | 15 | no | — |
| 1016 | C2×C4 | — | 4 | 30 | no | — |
| 1017 | C2×C4 | — | 4 | 60 | no | — |
| 1018 | C2×C4 | — | 4 | 60 | no | — |
| 1019 | C2×C4 | — | 4 | 60 | no | — |
| 1020 | C2×C4 | — | 4 | 60 | no | — |
| 1021 | C2×C4 | — | 4 | 30 | no | — |
| 1022 | C2×C4 | — | 4 | 60 | no | — |
| 1023 | C2×C4 | — | 4 | 60 | no | — |
| 1024 | C2×C4 | — | 4 | 60 | no | — |
| 1025 | C2×C4 | — | 4 | 60 | no | — |
| 1026 | C2×C4 | — | 4 | 30 | no | — |
| 1027 | C2×C4 | — | 4 | 60 | no | — |
| 1028 | C2×C4 | — | 4 | 60 | no | — |
| 1029 | C2×C4 | — | 4 | 30 | no | — |
| 1030 | C22 | — | 4 | 60 | no | — |
| 1031 | C22 | — | 4 | 30 | no | — |
| 1032 | C22 | — | 4 | 120 | no | — |
| 1033 | C22 | — | 8 | 160 | no | — |
| 1034 | C22 | — | 8 | 960 | no | — |
| 1035 | C22 | — | 8 | 60 | no | — |
| 1036 | C22 | — | 8 | 60 | no | — |
| 1037 | C22 | — | 8 | 15 | no | — |
| 1038 | C22 | — | 8 | 30 | no | — |
| 1039 | C22 | — | 8 | 60 | no | — |
| 1040 | C22 | — | 16 | 16 | no | — |
| 1041 | C22 | — | 16 | 32 | no | — |
| 1042 | C22 | — | 16 | 64 | no | — |
| 1043 | C22 | #10586796 | 1 | 5 | yes | — |
| 1044 | C22 | #10586817 | 1 | 30 | yes | — |
| 1045 | C4 | — | 8 | 60 | no | — |
| 1046 | C4 | — | 8 | 15 | no | — |
| 1047 | C4 | — | 8 | 30 | no | — |
| 1048 | C2 | — | 8 | 30 | no | — |
| 1049 | C2 | — | 16 | 1 | no | — |
| 1050 | C2 | — | 16 | 2 | no | — |
| 1051 | C2 | — | 16 | 4 | no | — |
| 1052 | C2 | #72219217 | 1 | 15 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta