← #72271461
Subgroups — #72271461
Order 2048.
Only the 2370 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 351 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72271453 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72271451 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72271448 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #72271418 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72271368 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72268191 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72268190 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72268188 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | 2−1+42 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72268184 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #72268183 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #10586558 | C22 | 1 | 4 | yes | — |
| 13 | #10586520 | C22 | 1 | 4 | yes | — |
| 14 | #10586518 | C22 | 1 | 1 | yes | characteristic |
| 15 | #41×2−1+4 | C22 | 1 | 4 | yes | — |
| 16 | C2×Q8×2−1+4 | C22 | 1 | 2 | yes | — |
| 17 | C2×#32921 | C22 | 1 | 2 | yes | — |
| 18 | #6516743 | C22 | 1 | 2 | yes | complemented |
| 19 | C2×#25920 | C22 | 1 | 2 | yes | complemented |
| 20 | C2×#25924 | C22 | 1 | 4 | yes | complemented |
| 21 | #6447697 | C22 | 1 | 4 | yes | complemented |
| 22 | #6351648 | C22 | 1 | 4 | yes | complemented |
| 23 | #6348992 | C22 | 1 | 4 | yes | complemented |
| 24 | #6348388 | C22 | 1 | 8 | yes | complemented |
| 25 | #6347318 | C22 | 1 | 4 | yes | complemented |
| 26 | #682091 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #362786 | C22 | 1 | 4 | yes | complemented |
| 28 | #362773 | C22 | 1 | 4 | yes | complemented |
| 29 | #362756 | C22 | 1 | 2 | yes | complemented |
| 30 | #362734 | C22 | 1 | 2 | yes | complemented |
| 31 | C4×#1793 | C22 | 1 | 2 | yes | — |
| 32 | #188161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #187920 | C22 | 1 | 4 | yes | complemented |
| 34 | #187689 | C22 | 1 | 8 | yes | complemented |
| 35 | #187076 | C22 | 1 | 4 | yes | complemented |
| 36 | #187050 | C22 | 1 | 8 | yes | complemented |
| 37 | #186867 | C22 | 1 | 4 | yes | complemented |
| 38 | #186832 | C22 | 1 | 2 | yes | complemented |
| 39 | #186571 | C22 | 1 | 8 | yes | complemented |
| 40 | #186562 | C22 | 1 | 4 | yes | complemented |
| 41 | #186496 | C22 | 1 | 8 | yes | complemented |
| 42 | #186318 | C22 | 1 | 8 | yes | complemented |
| 43 | #186191 | C22 | 1 | 8 | yes | complemented |
| 44 | #185891 | C22 | 1 | 4 | yes | complemented |
| 45 | #185778 | C22 | 1 | 4 | yes | complemented |
| 46 | #185540 | C22 | 1 | 4 | yes | complemented |
| 47 | #185422 | C22 | 1 | 4 | yes | complemented |
| 48 | #185248 | C22 | 1 | 4 | yes | complemented |
| 49 | #184940 | C22 | 1 | 4 | yes | — |
| 50 | #63037 | D4 | 1 | 8 | yes | — |
| 51 | #63032 | D4 | 1 | 16 | yes | — |
| 52 | #63016 | D4 | 1 | 8 | yes | — |
| 53 | #63001 | D4 | 1 | 8 | yes | — |
| 54 | #63000 | D4 | 1 | 8 | yes | — |
| 55 | #62999 | D4 | 1 | 4 | yes | — |
| 56 | #62998 | D4 | 1 | 4 | yes | — |
| 57 | Q8×2−1+4 | D4 | 1 | 4 | yes | — |
| 58 | D4×2−1+4 | D4 | 1 | 4 | yes | — |
| 59 | #62947 | D4 | 1 | 16 | yes | — |
| 60 | #62945 | D4 | 1 | 16 | yes | — |
| 61 | #62837 | C23 | 1 | 4 | yes | — |
| 62 | #62833 | D4 | 1 | 8 | yes | — |
| 63 | #62833 | C23 | 1 | 2 | yes | — |
| 64 | #62805 | C23 | 1 | 8 | yes | — |
| 65 | C2×#3503 | D4 | 1 | 8 | yes | — |
| 66 | C2×#3503 | C23 | 1 | 4 | yes | — |
| 67 | #62788 | C23 | 1 | 4 | yes | — |
| 68 | C2×#3502 | D4 | 1 | 4 | yes | — |
| 69 | C2×#3502 | C23 | 1 | 2 | yes | — |
| 70 | #412 | C23 | 1 | 4 | yes | — |
| 71 | C2×Q8×#41 | C23 | 1 | 4 | yes | — |
| 72 | C22×Q82 | C23 | 1 | 1 | yes | characteristic |
| 73 | C2×C4×2−1+4 | D4 | 1 | 4 | yes | — |
| 74 | C2×C4×2−1+4 | C23 | 1 | 2 | yes | — |
| 75 | #60798 | C23 | 1 | 4 | yes | — |
| 76 | C2×#3138 | C23 | 1 | 4 | yes | — |
| 77 | C2×#3038 | C23 | 1 | 4 | yes | — |
| 78 | C2×#2858 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×#2548 | C23 | 1 | 2 | yes | — |
| 80 | #21799 | C23 | 1 | 2 | yes | — |
| 81 | #21415 | C23 | 1 | 4 | yes | — |
| 82 | C2×#1997 | C23 | 1 | 4 | yes | — |
| 83 | C2×#1994 | C23 | 1 | 4 | yes | — |
| 84 | #21312 | C23 | 1 | 4 | yes | — |
| 85 | C2×#1986 | C23 | 1 | 4 | yes | — |
| 86 | #21303 | C23 | 1 | 4 | yes | — |
| 87 | C2×#1806 | C23 | 1 | 4 | yes | — |
| 88 | C2×#1801 | C23 | 1 | 2 | yes | — |
| 89 | C4×#417 | C23 | 1 | 4 | yes | — |
| 90 | C2×C4×#104 | C23 | 1 | 4 | yes | — |
| 91 | C2×C4×#101 | C23 | 1 | 2 | yes | — |
| 92 | #17752 | C23 | 1 | 4 | yes | — |
| 93 | #17751 | C23 | 1 | 8 | yes | — |
| 94 | #17648 | C23 | 1 | 8 | yes | — |
| 95 | #17638 | C23 | 1 | 4 | yes | — |
| 96 | #17546 | C23 | 1 | 8 | yes | — |
| 97 | #17504 | C23 | 1 | 8 | yes | — |
| 98 | #17451 | C23 | 1 | 8 | yes | — |
| 99 | #17447 | C23 | 1 | 8 | yes | — |
| 100 | #17365 | C23 | 1 | 4 | yes | — |
| 101 | #14161 | C23 | 1 | 1 | yes | characteristic |
| 102 | C4×#391 | C23 | 1 | 2 | yes | — |
| 103 | C22×2−1+4 | C2×D4 | 1 | 2 | yes | — |
| 104 | #3563 | C2×D4 | 1 | 32 | yes | — |
| 105 | #3556 | C2×D4 | 1 | 8 | yes | — |
| 106 | #3550 | C2×D4 | 1 | 8 | yes | — |
| 107 | #3523 | C2×D4 | 1 | 16 | yes | — |
| 108 | #3520 | C2×D4 | 1 | 16 | yes | — |
| 109 | #3511 | C2×D4 | 1 | 8 | yes | — |
| 110 | #3509 | C2×D4 | 1 | 8 | yes | — |
| 111 | #3509 | C2×D4 | 1 | 8 | yes | — |
| 112 | #3507 | C2×D4 | 1 | 8 | yes | — |
| 113 | #3503 | C2×D4 | 1 | 16 | yes | — |
| 114 | #3503 | C2×D4 | 1 | 16 | yes | — |
| 115 | #3503 | C2×D4 | 1 | 8 | yes | — |
| 116 | #3502 | C2×D4 | 1 | 16 | yes | — |
| 117 | #3502 | C2×D4 | 1 | 4 | yes | — |
| 118 | #3499 | C2×D4 | 1 | 8 | yes | — |
| 119 | #3499 | C2×D4 | 1 | 8 | yes | — |
| 120 | #3497 | C2×D4 | 1 | 4 | yes | — |
| 121 | #3492 | C2×D4 | 1 | 16 | yes | — |
| 122 | #3486 | C2×D4 | 1 | 8 | yes | — |
| 123 | #3483 | C2×D4 | 1 | 4 | yes | — |
| 124 | #3482 | C2×D4 | 1 | 16 | yes | — |
| 125 | #3482 | C2×D4 | 1 | 8 | yes | — |
| 126 | #3482 | C2×D4 | 1 | 16 | yes | — |
| 127 | #3481 | C2×D4 | 1 | 4 | yes | — |
| 128 | #3480 | C2×D4 | 1 | 8 | yes | — |
| 129 | Q8×#41 | C2×D4 | 1 | 8 | yes | — |
| 130 | C2×Q82 | C2×D4 | 1 | 4 | yes | — |
| 131 | C2×#557 | C2×D4 | 1 | 4 | yes | — |
| 132 | C2×#557 | C2×D4 | 1 | 8 | yes | — |
| 133 | #3475 | C2×D4 | 1 | 8 | yes | — |
| 134 | C2×#554 | C2×D4 | 1 | 4 | yes | — |
| 135 | C2×#554 | C2×D4 | 1 | 8 | yes | — |
| 136 | D4×#41 | C2×D4 | 1 | 8 | yes | — |
| 137 | C2×D4×Q8 | C2×D4 | 1 | 4 | yes | — |
| 138 | #3461 | C2×D4 | 1 | 16 | yes | — |
| 139 | C2×#544 | C2×D4 | 1 | 8 | yes | — |
| 140 | C2×#544 | C2×D4 | 1 | 4 | yes | — |
| 141 | #3444 | C24 | 1 | 4 | yes | — |
| 142 | C2×#533 | C2×D4 | 1 | 8 | yes | — |
| 143 | C2×#533 | C24 | 1 | 4 | yes | — |
| 144 | C22×C4⋊Q8 | C2×D4 | 1 | 4 | yes | — |
| 145 | C22×C4⋊Q8 | C2×D4 | 1 | 4 | yes | — |
| 146 | C22×C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 147 | C22×#127 | C24 | 1 | 1 | yes | characteristic |
| 148 | C4×2−1+4 | C2×D4 | 1 | 4 | yes | — |
| 149 | C4×2−1+4 | C2×D4 | 1 | 4 | yes | — |
| 150 | C4×2−1+4 | C2×D4 | 1 | 8 | yes | — |
| 151 | C2×#520 | C2×D4 | 1 | 4 | yes | — |
| 152 | C2×#520 | C2×D4 | 1 | 8 | yes | — |
| 153 | C2×#519 | C2×D4 | 1 | 2 | yes | — |
| 154 | C2×#519 | C2×D4 | 1 | 4 | yes | — |
| 155 | C2×C4×#41 | C2×D4 | 1 | 8 | yes | — |
| 156 | C2×C4×#41 | C24 | 1 | 4 | yes | — |
| 157 | C22×C4×Q8 | C2×D4 | 1 | 4 | yes | — |
| 158 | C22×C4×Q8 | C24 | 1 | 2 | yes | — |
| 159 | #2920 | C24 | 1 | 4 | yes | — |
| 160 | C2×#423 | C24 | 1 | 4 | yes | — |
| 161 | C2×C4×M16 | C24 | 1 | 4 | yes | — |
| 162 | C2×C4×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 163 | C2×C43 | C24 | 1 | 1 | yes | characteristic |
| 164 | C2×2−1+4 | #120 | 1 | 4 | yes | — |
| 165 | C2×2−1+4 | #120 | 1 | 2 | yes | — |
| 166 | C2×2−1+4 | #120 | 1 | 8 | yes | — |
| 167 | C2×2−1+4 | #120 | 1 | 2 | yes | — |
| 168 | C22×#41 | C22×D4 | 1 | 4 | yes | — |
| 169 | C23×Q8 | #120 | 1 | 4 | yes | — |
| 170 | C23×Q8 | C22×D4 | 1 | 2 | yes | — |
| 171 | C23×Q8 | C22×D4 | 1 | 2 | yes | — |
| 172 | #564 | #120 | 1 | 32 | yes | — |
| 173 | #563 | #120 | 1 | 32 | yes | — |
| 174 | #559 | #120 | 1 | 4 | yes | — |
| 175 | Q82 | #120 | 1 | 4 | yes | — |
| 176 | #557 | #120 | 1 | 8 | yes | — |
| 177 | #557 | #120 | 1 | 16 | yes | — |
| 178 | #557 | #120 | 1 | 16 | yes | — |
| 179 | #556 | #120 | 1 | 8 | yes | — |
| 180 | #556 | #120 | 1 | 16 | yes | — |
| 181 | #556 | #120 | 1 | 16 | yes | — |
| 182 | #555 | #120 | 1 | 4 | yes | — |
| 183 | #554 | #120 | 1 | 8 | yes | — |
| 184 | #550 | #120 | 1 | 8 | yes | — |
| 185 | D4×Q8 | #120 | 1 | 8 | yes | — |
| 186 | D4×Q8 | #120 | 1 | 16 | yes | — |
| 187 | D4×Q8 | #120 | 1 | 16 | yes | — |
| 188 | #547 | #120 | 1 | 8 | yes | — |
| 189 | #547 | #120 | 1 | 16 | yes | — |
| 190 | #547 | #120 | 1 | 16 | yes | — |
| 191 | D42 | #120 | 1 | 4 | yes | — |
| 192 | #544 | #120 | 1 | 16 | yes | — |
| 193 | #544 | #120 | 1 | 32 | yes | — |
| 194 | #544 | #120 | 1 | 16 | yes | — |
| 195 | #539 | #120 | 1 | 32 | yes | — |
| 196 | #537 | #120 | 1 | 16 | yes | — |
| 197 | #536 | #120 | 1 | 16 | yes | — |
| 198 | #533 | C22×D4 | 1 | 16 | yes | — |
| 199 | #533 | C22×D4 | 1 | 16 | yes | — |
| 200 | #533 | C22×D4 | 1 | 4 | yes | — |
| 201 | #533 | C22×D4 | 1 | 8 | yes | — |
| 202 | #532 | C22×D4 | 1 | 8 | yes | — |
| 203 | #532 | C22×D4 | 1 | 4 | yes | — |
| 204 | C2×C4⋊Q8 | #120 | 1 | 8 | yes | — |
| 205 | C2×C4⋊Q8 | #120 | 1 | 8 | yes | — |
| 206 | C2×C4⋊Q8 | C22×D4 | 1 | 8 | yes | — |
| 207 | C2×C4⋊Q8 | C22×D4 | 1 | 4 | yes | — |
| 208 | C2×C4⋊Q8 | C22×D4 | 1 | 4 | yes | — |
| 209 | #529 | C22×D4 | 1 | 16 | yes | — |
| 210 | C2×#125 | #120 | 1 | 8 | yes | — |
| 211 | C2×#125 | #120 | 1 | 8 | yes | — |
| 212 | C2×#125 | C22×D4 | 1 | 8 | yes | — |
| 213 | #525 | C22×D4 | 1 | 8 | yes | — |
| 214 | #520 | #120 | 1 | 8 | yes | — |
| 215 | #520 | #120 | 1 | 8 | yes | — |
| 216 | #520 | #120 | 1 | 16 | yes | — |
| 217 | #520 | #120 | 1 | 16 | yes | — |
| 218 | #519 | #120 | 1 | 4 | yes | — |
| 219 | #519 | #120 | 1 | 4 | yes | — |
| 220 | #519 | #120 | 1 | 16 | yes | — |
| 221 | #519 | #120 | 1 | 8 | yes | — |
| 222 | C4×#41 | C22×D4 | 1 | 8 | yes | — |
| 223 | C4×#41 | C22×D4 | 1 | 8 | yes | — |
| 224 | C4×#41 | C22×D4 | 1 | 8 | yes | — |
| 225 | C4×#41 | C22×D4 | 1 | 8 | yes | — |
| 226 | C4×#41 | C22×D4 | 1 | 8 | yes | — |
| 227 | C2×C4×Q8 | #120 | 1 | 8 | yes | — |
| 228 | C2×C4×Q8 | #120 | 1 | 8 | yes | — |
| 229 | C2×C4×Q8 | C22×D4 | 1 | 4 | yes | — |
| 230 | C2×C4×Q8 | C22×D4 | 1 | 4 | yes | — |
| 231 | C2×C4×Q8 | C22×D4 | 1 | 8 | yes | — |
| 232 | C2×C4×Q8 | C22×D4 | 1 | 4 | yes | — |
| 233 | C2×C4×Q8 | C22×D4 | 1 | 4 | yes | — |
| 234 | C2×C4×D4 | #120 | 1 | 8 | yes | — |
| 235 | C2×C4×D4 | #120 | 1 | 8 | yes | — |
| 236 | C2×C4×D4 | C22×D4 | 1 | 4 | yes | — |
| 237 | C2×C4×D4 | C22×D4 | 1 | 4 | yes | — |
| 238 | C2×#117 | C22×D4 | 1 | 8 | yes | — |
| 239 | C2×#117 | C22×D4 | 1 | 4 | yes | — |
| 240 | C22×C4⋊C4 | #120 | 1 | 8 | yes | — |
| 241 | C22×C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 242 | C22×C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 243 | C22×C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 244 | C22×C42 | #120 | 1 | 4 | yes | — |
| 245 | C22×C42 | C22×D4 | 1 | 4 | yes | — |
| 246 | C22×C42 | C25 | 1 | 1 | yes | characteristic |
| 247 | 2−1+4 | #454 | 1 | 8 | yes | complemented |
| 248 | C2×#41 | C2×#120 | 1 | 4 | yes | — |
| 249 | C2×#41 | C2×#120 | 1 | 4 | yes | — |
| 250 | C2×#41 | C2×#120 | 1 | 4 | yes | — |
| 251 | C2×#41 | C2×#120 | 1 | 8 | yes | — |
| 252 | C2×#41 | C2×#120 | 1 | 4 | yes | — |
| 253 | C22×Q8 | C2×#120 | 1 | 4 | yes | — |
| 254 | C22×Q8 | C2×#120 | 1 | 2 | yes | — |
| 255 | C22×Q8 | C2×#120 | 1 | 8 | yes | — |
| 256 | C22×Q8 | C2×#120 | 1 | 2 | yes | — |
| 257 | C22×Q8 | C2×#120 | 1 | 4 | yes | — |
| 258 | C22×D4 | C2×#120 | 1 | 4 | yes | — |
| 259 | C23×C4 | C2×#120 | 1 | 4 | yes | — |
| 260 | C23×C4 | C2×#120 | 1 | 4 | yes | — |
| 261 | C23×C4 | C2×#120 | 1 | 4 | yes | — |
| 262 | C23×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 263 | C23×C4 | C23×D4 | 1 | 2 | yes | — |
| 264 | C4⋊Q8 | C2×#120 | 1 | 16 | yes | — |
| 265 | C4⋊Q8 | C2×#120 | 1 | 16 | yes | — |
| 266 | C4⋊Q8 | C2×#120 | 1 | 8 | yes | — |
| 267 | C4⋊Q8 | C2×#120 | 1 | 4 | yes | — |
| 268 | #127 | C2×#120 | 1 | 4 | yes | — |
| 269 | #125 | C2×#120 | 1 | 32 | yes | — |
| 270 | #125 | C2×#120 | 1 | 8 | yes | — |
| 271 | #124 | C2×#120 | 1 | 8 | yes | — |
| 272 | C22⋊Q8 | C2×#120 | 1 | 16 | yes | — |
| 273 | #121 | C2×#120 | 1 | 16 | yes | — |
| 274 | C4×Q8 | C2×#120 | 1 | 8 | yes | — |
| 275 | C4×Q8 | C2×#120 | 1 | 8 | yes | — |
| 276 | C4×Q8 | C2×#120 | 1 | 8 | yes | — |
| 277 | C4×Q8 | C2×#120 | 1 | 8 | yes | — |
| 278 | C4×Q8 | C2×#120 | 1 | 16 | yes | — |
| 279 | C4×D4 | C2×#120 | 1 | 8 | yes | — |
| 280 | C4×D4 | C2×#120 | 1 | 8 | yes | — |
| 281 | C4×D4 | C2×#120 | 1 | 8 | yes | — |
| 282 | C4×D4 | C2×#120 | 1 | 8 | yes | — |
| 283 | C4×D4 | C2×#120 | 1 | 16 | yes | — |
| 284 | #117 | C2×#120 | 1 | 8 | yes | — |
| 285 | #117 | C2×#120 | 1 | 8 | yes | — |
| 286 | #117 | C2×#120 | 1 | 16 | yes | — |
| 287 | #117 | C2×#120 | 1 | 16 | yes | — |
| 288 | #117 | C2×#120 | 1 | 8 | yes | — |
| 289 | C2×C4⋊C4 | C2×#120 | 1 | 8 | yes | — |
| 290 | C2×C4⋊C4 | C2×#120 | 1 | 8 | yes | — |
| 291 | C2×C4⋊C4 | C2×#120 | 1 | 4 | yes | — |
| 292 | C2×C4⋊C4 | C2×#120 | 1 | 4 | yes | — |
| 293 | C2×C4⋊C4 | C2×#120 | 1 | 4 | yes | — |
| 294 | C2×C4⋊C4 | C2×#120 | 1 | 8 | yes | — |
| 295 | C2×C4⋊C4 | C2×#120 | 1 | 8 | yes | — |
| 296 | C2×C4⋊C4 | C2×#120 | 1 | 4 | yes | — |
| 297 | C2×C4⋊C4 | C2×#120 | 1 | 16 | yes | — |
| 298 | C2×C42 | C2×#120 | 1 | 8 | yes | — |
| 299 | C2×C42 | C2×#120 | 1 | 8 | yes | — |
| 300 | C2×C42 | C23×D4 | 1 | 4 | yes | — |
| 301 | C2×C42 | C23×D4 | 1 | 4 | yes | — |
| 302 | C2×C42 | C23×D4 | 1 | 4 | yes | — |
| 303 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 304 | #41 | C2×#454 | 1 | 8 | yes | — |
| 305 | #41 | #3020 | 1 | 8 | yes | — |
| 306 | C2×Q8 | #2846 | 1 | 4 | yes | — |
| 307 | C2×Q8 | #2846 | 1 | 8 | yes | — |
| 308 | C2×Q8 | #2846 | 1 | 4 | yes | — |
| 309 | C2×Q8 | C2×#454 | 1 | 4 | yes | — |
| 310 | C2×Q8 | #3020 | 1 | 4 | yes | — |
| 311 | C2×D4 | #2846 | 1 | 4 | yes | — |
| 312 | C2×D4 | #2846 | 1 | 8 | yes | — |
| 313 | C2×D4 | #2846 | 1 | 4 | yes | — |
| 314 | C22×C4 | #2846 | 1 | 4 | yes | — |
| 315 | C22×C4 | #2846 | 1 | 8 | yes | — |
| 316 | C22×C4 | #2846 | 1 | 4 | yes | — |
| 317 | C22×C4 | #2846 | 1 | 8 | yes | — |
| 318 | C22×C4 | C22×#120 | 1 | 2 | yes | — |
| 319 | C22×C4 | C22×#120 | 1 | 4 | yes | — |
| 320 | C22×C4 | C22×#120 | 1 | 4 | yes | — |
| 321 | C22×C4 | C22×#120 | 1 | 4 | yes | — |
| 322 | C22×C4 | C22×#120 | 1 | 2 | yes | — |
| 323 | C22×C4 | C22×#120 | 1 | 2 | yes | — |
| 324 | C4⋊C4 | #2846 | 1 | 8 | yes | — |
| 325 | C4⋊C4 | #2846 | 1 | 8 | yes | — |
| 326 | C4⋊C4 | #2846 | 1 | 16 | yes | — |
| 327 | C4⋊C4 | #2846 | 1 | 16 | yes | — |
| 328 | C4⋊C4 | #2846 | 1 | 16 | yes | — |
| 329 | C42 | C22×#120 | 1 | 4 | yes | — |
| 330 | C42 | C22×#120 | 1 | 8 | yes | — |
| 331 | C42 | C22×#120 | 1 | 4 | yes | — |
| 332 | C23 | C2×#2846 | 1 | 2 | yes | — |
| 333 | C23 | C2×#2846 | 1 | 1 | yes | characteristic |
| 334 | Q8 | #32889 | 1 | 8 | yes | — |
| 335 | D4 | #32889 | 1 | 8 | yes | — |
| 336 | C2×C4 | #32889 | 1 | 8 | yes | — |
| 337 | C2×C4 | C2×#2846 | 1 | 4 | yes | — |
| 338 | C2×C4 | C2×#2846 | 1 | 4 | yes | — |
| 339 | C2×C4 | C2×#2846 | 1 | 4 | yes | — |
| 340 | C2×C4 | C22×#454 | 1 | 2 | yes | — |
| 341 | C2×C4 | C2×#3020 | 1 | 2 | yes | — |
| 342 | C2×C4 | C2×#3020 | 1 | 4 | yes | — |
| 343 | C22 | #6342371 | 1 | 1 | yes | characteristic |
| 344 | C22 | C2×#32889 | 1 | 2 | yes | — |
| 345 | C22 | #6628868 | 1 | 2 | yes | — |
| 346 | C4 | C2×#32889 | 1 | 4 | yes | — |
| 347 | C4 | #6628868 | 1 | 4 | yes | — |
| 348 | C2 | #72210333 | 1 | 2 | yes | — |
| 349 | C2 | #72227588 | 1 | 1 | yes | characteristic |
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