← #72314319
Subgroups — #72314319
Order 4096.
Only the 955 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 328 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72314284 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72310564 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72309398 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72309397 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#97555 | C22 | 1 | 2 | yes | complemented |
| 6 | C2×#97551 | C22 | 1 | 2 | yes | complemented |
| 7 | #72265785 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72265779 | C22 | 1 | 2 | yes | complemented |
| 9 | #72247315 | C22 | 1 | 8 | yes | complemented |
| 10 | #72237032 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #72234665 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #72234663 | C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | #72234662 | C4 | 1 | 2 | yes | complemented |
| 14 | #72234659 | C4 | 1 | 2 | yes | complemented |
| 15 | #72234658 | C22 | 1 | 2 | yes | — |
| 16 | #72234591 | C4 | 1 | 2 | yes | complemented |
| 17 | #72232884 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | #72225778 | C22 | 1 | 2 | yes | complemented |
| 19 | #72225735 | C22 | 1 | 2 | yes | — |
| 20 | C2×#7670203 | C22 | 1 | 1 | yes | characteristic |
| 21 | #72219022 | C22 | 1 | 8 | yes | complemented |
| 22 | #72218518 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #72218375 | C22 | 1 | 2 | yes | complemented |
| 24 | #72218291 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #72217511 | C22 | 1 | 2 | yes | — |
| 26 | #10586404 | C2×C4 | 1 | 2 | yes | — |
| 27 | C2×#62817 | C2×C4 | 1 | 2 | yes | — |
| 28 | #10586069 | C2×C4 | 1 | 2 | yes | — |
| 29 | C22×#3484 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C22×#3484 | D4 | 1 | 1 | yes | characteristic |
| 31 | C24×#120 | D4 | 1 | 1 | yes | characteristic |
| 32 | C24×#120 | C23 | 1 | 1 | yes | characteristic |
| 33 | #7642273 | D4 | 1 | 4 | yes | — |
| 34 | #7642273 | C23 | 1 | 4 | yes | — |
| 35 | #7642244 | D4 | 1 | 4 | yes | — |
| 36 | C22×#2846 | D4 | 1 | 1 | yes | characteristic |
| 37 | #7630944 | C2×C4 | 1 | 4 | yes | — |
| 38 | #7630944 | D4 | 1 | 4 | yes | — |
| 39 | #7630939 | D4 | 1 | 4 | yes | — |
| 40 | C2×#35390 | C23 | 1 | 1 | yes | characteristic |
| 41 | C2×#35348 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×#35348 | C23 | 1 | 1 | yes | characteristic |
| 43 | C2×#35346 | D4 | 1 | 1 | yes | characteristic |
| 44 | C2×#34981 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C2×#34981 | D4 | 1 | 1 | yes | characteristic |
| 46 | C2×#34980 | D4 | 1 | 1 | yes | characteristic |
| 47 | C2×#34980 | D4 | 1 | 1 | yes | characteristic |
| 48 | #7626202 | C2×C4 | 1 | 2 | yes | — |
| 49 | C2×#34198 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | C2×#34198 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | #6516845 | D4 | 1 | 16 | yes | — |
| 52 | #6449109 | D4 | 1 | 8 | yes | — |
| 53 | #6447757 | D4 | 1 | 4 | yes | — |
| 54 | #6443353 | D4 | 1 | 4 | yes | — |
| 55 | #6374548 | C2×C4 | 1 | 4 | yes | — |
| 56 | #6374251 | C2×C4 | 1 | 2 | yes | — |
| 57 | #6372488 | C2×C4 | 1 | 4 | yes | — |
| 58 | #6371007 | C2×C4 | 1 | 2 | yes | — |
| 59 | C2×#10965 | C23 | 1 | 4 | yes | complemented |
| 60 | C2×#8547 | C23 | 1 | 2 | yes | complemented |
| 61 | C2×#8541 | C23 | 1 | 2 | yes | complemented |
| 62 | C28 | C2×D4 | 1 | 1 | yes | characteristic |
| 63 | C23×H(5,𝔽2) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 64 | C25×D4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 65 | C25×D4 | C2×D4 | 1 | 2 | yes | — |
| 66 | C25×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 67 | #62863 | C22⋊C4 | 1 | 8 | yes | complemented |
| 68 | #62844 | C22⋊C4 | 1 | 4 | yes | complemented |
| 69 | #62843 | C22⋊C4 | 1 | 2 | yes | complemented |
| 70 | #62842 | C22⋊C4 | 1 | 2 | yes | complemented |
| 71 | C2×#3490 | C22⋊C4 | 1 | 4 | yes | — |
| 72 | C2×#3490 | C22×C4 | 1 | 4 | yes | — |
| 73 | C2×#3484 | C22⋊C4 | 1 | 4 | yes | — |
| 74 | C22×#534 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 75 | C22×#534 | C22×C4 | 1 | 1 | yes | characteristic |
| 76 | C22×#534 | C2×D4 | 1 | 1 | yes | characteristic |
| 77 | C22×#534 | C2×D4 | 1 | 1 | yes | characteristic |
| 78 | C22×#534 | C2×D4 | 1 | 1 | yes | characteristic |
| 79 | C23×#120 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 80 | C23×#120 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 81 | C23×#120 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 82 | C23×#120 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 83 | C23×#120 | C22×C4 | 1 | 1 | yes | characteristic |
| 84 | C23×#120 | C2×D4 | 1 | 2 | yes | — |
| 85 | C23×#120 | C2×D4 | 1 | 1 | yes | characteristic |
| 86 | C23×#120 | C2×D4 | 1 | 1 | yes | characteristic |
| 87 | C23×#120 | C2×D4 | 1 | 1 | yes | characteristic |
| 88 | C23×#120 | C2×D4 | 1 | 1 | yes | characteristic |
| 89 | C23×#120 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C23×#120 | C2×D4 | 1 | 2 | yes | — |
| 91 | C23×#120 | C24 | 1 | 1 | yes | characteristic |
| 92 | C22×#518 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 93 | C22×#518 | C22×C4 | 1 | 1 | yes | characteristic |
| 94 | C24×C22⋊C4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 95 | C24×C22⋊C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 96 | C24×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 97 | #36703 | C2×D4 | 1 | 16 | yes | — |
| 98 | #36614 | C22⋊C4 | 1 | 8 | yes | — |
| 99 | #35390 | C2×D4 | 1 | 8 | yes | — |
| 100 | #35390 | C2×D4 | 1 | 8 | yes | — |
| 101 | #35367 | C2×D4 | 1 | 8 | yes | — |
| 102 | #35348 | C2×D4 | 1 | 4 | yes | — |
| 103 | #35348 | C2×D4 | 1 | 4 | yes | — |
| 104 | #35222 | C2×D4 | 1 | 8 | yes | — |
| 105 | #35050 | C22⋊C4 | 1 | 8 | yes | — |
| 106 | #35050 | C2×D4 | 1 | 8 | yes | — |
| 107 | #34176 | C22⋊C4 | 1 | 4 | yes | — |
| 108 | #34176 | C22×C4 | 1 | 4 | yes | — |
| 109 | #34171 | C22⋊C4 | 1 | 4 | yes | — |
| 110 | C2×#2315 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 111 | C2×#2315 | C22×C4 | 1 | 1 | yes | characteristic |
| 112 | C2×#2308 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 113 | C2×#2308 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 114 | C2×#2308 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 115 | C2×#2308 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 116 | C2×#2308 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C22×#379 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 118 | C22×#379 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 119 | C22×#379 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C2×#2273 | C22×C4 | 1 | 1 | yes | characteristic |
| 121 | #21795 | C22⋊C4 | 1 | 8 | yes | complemented |
| 122 | #21422 | C22⋊C4 | 1 | 16 | yes | complemented |
| 123 | #21333 | C22⋊C4 | 1 | 8 | yes | complemented |
| 124 | #21213 | C22⋊C4 | 1 | 8 | yes | complemented |
| 125 | #20392 | C22⋊C4 | 1 | 4 | yes | complemented |
| 126 | #20392 | C22⋊C4 | 1 | 4 | yes | complemented |
| 127 | C27 | #99 | 1 | 1 | yes | characteristic |
| 128 | C27 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 129 | C27 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 130 | C27 | #120 | 1 | 1 | yes | characteristic |
| 131 | C27 | #120 | 1 | 2 | yes | — |
| 132 | C27 | #120 | 1 | 2 | yes | — |
| 133 | C27 | C22×D4 | 1 | 1 | yes | characteristic |
| 134 | C22×H(5,𝔽2) | #99 | 1 | 2 | yes | — |
| 135 | C22×H(5,𝔽2) | #99 | 1 | 2 | yes | — |
| 136 | C22×H(5,𝔽2) | #99 | 1 | 4 | yes | complemented |
| 137 | C24×D4 | #99 | 1 | 1 | yes | characteristic |
| 138 | C24×D4 | #99 | 1 | 1 | yes | characteristic |
| 139 | C24×D4 | #99 | 1 | 2 | yes | — |
| 140 | C24×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 141 | C24×D4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 142 | C24×D4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 143 | C24×D4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 144 | C24×D4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 145 | C24×D4 | #120 | 1 | 1 | yes | characteristic |
| 146 | C24×D4 | #120 | 1 | 1 | yes | characteristic |
| 147 | C24×D4 | #120 | 1 | 2 | yes | — |
| 148 | C24×D4 | #120 | 1 | 2 | yes | — |
| 149 | C24×D4 | C22×D4 | 1 | 2 | yes | — |
| 150 | C24×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 151 | C25×C4 | #99 | 1 | 1 | yes | characteristic |
| 152 | C25×C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 153 | C25×C4 | #120 | 1 | 1 | yes | characteristic |
| 154 | C2×#543 | #99 | 1 | 4 | yes | complemented |
| 155 | C2×#543 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 156 | C2×#538 | #99 | 1 | 8 | yes | complemented |
| 157 | C2×#538 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 158 | C2×#535 | #99 | 1 | 8 | yes | complemented |
| 159 | C2×#534 | #99 | 1 | 4 | yes | — |
| 160 | C2×#534 | #99 | 1 | 4 | yes | complemented |
| 161 | C2×#534 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 162 | C2×#534 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 163 | C2×#534 | #120 | 1 | 2 | yes | — |
| 164 | C2×#534 | #120 | 1 | 2 | yes | — |
| 165 | C2×#534 | #120 | 1 | 4 | yes | — |
| 166 | C2×#534 | #120 | 1 | 4 | yes | — |
| 167 | C2×#525 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 168 | C22×#120 | #120 | 1 | 2 | yes | — |
| 169 | C22×#120 | #120 | 1 | 2 | yes | — |
| 170 | C22×#120 | #120 | 1 | 4 | yes | — |
| 171 | C22×#120 | #120 | 1 | 4 | yes | — |
| 172 | C22×#120 | C22×D4 | 1 | 4 | yes | — |
| 173 | C22×#120 | C22×D4 | 1 | 4 | yes | — |
| 174 | C2×#518 | #99 | 1 | 4 | yes | complemented |
| 175 | C2×#518 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 176 | C2×#518 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 177 | C23×C22⋊C4 | #99 | 1 | 2 | yes | — |
| 178 | C23×C22⋊C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 179 | C23×C22⋊C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 180 | C23×C22⋊C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 181 | C23×C22⋊C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 182 | C23×C22⋊C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 183 | C23×C22⋊C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 184 | C23×C22⋊C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 185 | C23×C22⋊C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 186 | C23×C22⋊C4 | #120 | 1 | 2 | yes | — |
| 187 | C23×C22⋊C4 | #120 | 1 | 2 | yes | — |
| 188 | C23×C22⋊C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 189 | C23×C22⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 190 | #2561 | #120 | 1 | 16 | yes | — |
| 191 | #2539 | #120 | 1 | 16 | yes | — |
| 192 | #2435 | #120 | 1 | 16 | yes | — |
| 193 | #2433 | #120 | 1 | 16 | yes | — |
| 194 | #2315 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 195 | #2312 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 196 | #2308 | #120 | 1 | 4 | yes | — |
| 197 | #2280 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 198 | C2×#379 | #120 | 1 | 4 | yes | — |
| 199 | #2273 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 200 | #2273 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 201 | C26 | #379 | 1 | 1 | yes | characteristic |
| 202 | C26 | #379 | 1 | 1 | yes | characteristic |
| 203 | C26 | #379 | 1 | 1 | yes | characteristic |
| 204 | C26 | #379 | 1 | 2 | yes | — |
| 205 | C26 | C2×#99 | 1 | 1 | yes | characteristic |
| 206 | C26 | C2×#99 | 1 | 1 | yes | characteristic |
| 207 | C26 | C2×#99 | 1 | 1 | yes | characteristic |
| 208 | C26 | C2×#99 | 1 | 1 | yes | characteristic |
| 209 | C26 | C2×#99 | 1 | 1 | yes | characteristic |
| 210 | C26 | C2×#99 | 1 | 2 | yes | — |
| 211 | C26 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 212 | C26 | C2×#120 | 1 | 2 | yes | — |
| 213 | C26 | C2×#120 | 1 | 2 | yes | — |
| 214 | C26 | C2×#120 | 1 | 1 | yes | characteristic |
| 215 | C26 | C2×#120 | 1 | 2 | yes | — |
| 216 | C22×#41 | C2×#99 | 1 | 8 | yes | — |
| 217 | C23×D4 | #379 | 1 | 1 | yes | characteristic |
| 218 | C23×D4 | #379 | 1 | 1 | yes | characteristic |
| 219 | C23×D4 | #379 | 1 | 2 | yes | — |
| 220 | C23×D4 | #379 | 1 | 2 | yes | — |
| 221 | C23×D4 | C2×#99 | 1 | 4 | yes | — |
| 222 | C23×D4 | C2×#99 | 1 | 4 | yes | — |
| 223 | C23×D4 | C2×#99 | 1 | 2 | yes | — |
| 224 | C23×D4 | C2×#99 | 1 | 1 | yes | characteristic |
| 225 | C23×D4 | C2×#99 | 1 | 2 | yes | — |
| 226 | C23×D4 | C2×#99 | 1 | 1 | yes | characteristic |
| 227 | C23×D4 | C2×#99 | 1 | 2 | yes | — |
| 228 | C23×D4 | C2×#99 | 1 | 2 | yes | — |
| 229 | C23×D4 | C2×#120 | 1 | 2 | yes | — |
| 230 | C23×D4 | C2×#120 | 1 | 2 | yes | — |
| 231 | C23×D4 | C2×#120 | 1 | 8 | yes | — |
| 232 | C24×C4 | #379 | 1 | 1 | yes | characteristic |
| 233 | C24×C4 | #379 | 1 | 2 | yes | — |
| 234 | C24×C4 | C2×#99 | 1 | 1 | yes | characteristic |
| 235 | C24×C4 | C2×#99 | 1 | 1 | yes | characteristic |
| 236 | C24×C4 | C2×#99 | 1 | 2 | yes | — |
| 237 | C24×C4 | C2×#99 | 1 | 1 | yes | characteristic |
| 238 | C24×C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 239 | C24×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 240 | C2×C22⋊Q8 | #379 | 1 | 8 | yes | — |
| 241 | C2×C22⋊Q8 | C2×#99 | 1 | 8 | yes | — |
| 242 | C2×#121 | #379 | 1 | 8 | yes | — |
| 243 | C2×#121 | C2×#99 | 1 | 8 | yes | — |
| 244 | C2×#117 | C2×#99 | 1 | 8 | yes | — |
| 245 | C22×C22⋊C4 | #379 | 1 | 2 | yes | — |
| 246 | C22×C22⋊C4 | #379 | 1 | 2 | yes | — |
| 247 | C22×C22⋊C4 | #379 | 1 | 2 | yes | — |
| 248 | C22×C22⋊C4 | #379 | 1 | 2 | yes | — |
| 249 | C22×C22⋊C4 | #379 | 1 | 2 | yes | — |
| 250 | C22×C22⋊C4 | C2×#99 | 1 | 4 | yes | — |
| 251 | C22×C22⋊C4 | C2×#99 | 1 | 4 | yes | — |
| 252 | C22×C22⋊C4 | C2×#99 | 1 | 2 | yes | — |
| 253 | C22×C22⋊C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 254 | C22×C22⋊C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 255 | C22×C22⋊C4 | C2×#120 | 1 | 8 | yes | — |
| 256 | C4×C22⋊C4 | #379 | 1 | 16 | yes | — |
| 257 | C25 | #1781 | 1 | 2 | yes | — |
| 258 | C25 | #1781 | 1 | 2 | yes | — |
| 259 | C25 | #1781 | 1 | 4 | yes | — |
| 260 | C25 | #1781 | 1 | 2 | yes | — |
| 261 | C25 | #1781 | 1 | 2 | yes | — |
| 262 | C25 | #1781 | 1 | 2 | yes | — |
| 263 | C25 | #1781 | 1 | 2 | yes | — |
| 264 | C25 | #1781 | 1 | 2 | yes | — |
| 265 | C25 | #1781 | 1 | 1 | yes | characteristic |
| 266 | C25 | #1781 | 1 | 2 | yes | — |
| 267 | C25 | #1781 | 1 | 2 | yes | — |
| 268 | C25 | #1781 | 1 | 1 | yes | characteristic |
| 269 | C25 | C2×#379 | 1 | 1 | yes | characteristic |
| 270 | C25 | C2×#379 | 1 | 1 | yes | characteristic |
| 271 | C25 | C2×#379 | 1 | 1 | yes | characteristic |
| 272 | C25 | #2846 | 1 | 4 | yes | — |
| 273 | C25 | #2846 | 1 | 2 | yes | — |
| 274 | C25 | C22×#99 | 1 | 1 | yes | characteristic |
| 275 | C25 | C22×#99 | 1 | 1 | yes | characteristic |
| 276 | C25 | C22×#99 | 1 | 1 | yes | characteristic |
| 277 | C25 | C22×#99 | 1 | 1 | yes | characteristic |
| 278 | C22×Q8 | #1781 | 1 | 8 | yes | complemented |
| 279 | C22×D4 | #1781 | 1 | 8 | yes | complemented |
| 280 | C23×C4 | #1781 | 1 | 4 | yes | — |
| 281 | C23×C4 | #1781 | 1 | 2 | yes | — |
| 282 | C23×C4 | #1781 | 1 | 1 | yes | characteristic |
| 283 | C23×C4 | #1781 | 1 | 4 | yes | — |
| 284 | C23×C4 | #1781 | 1 | 1 | yes | characteristic |
| 285 | C23×C4 | #1781 | 1 | 2 | yes | — |
| 286 | C23×C4 | #1781 | 1 | 2 | yes | — |
| 287 | C23×C4 | C2×#379 | 1 | 4 | yes | — |
| 288 | C23×C4 | #2846 | 1 | 2 | yes | — |
| 289 | C23×C4 | C22×#99 | 1 | 4 | yes | — |
| 290 | C23×C4 | C22×#99 | 1 | 4 | yes | — |
| 291 | C2×C4⋊C4 | #1781 | 1 | 8 | yes | complemented |
| 292 | C2×C4⋊C4 | #1781 | 1 | 8 | yes | complemented |
| 293 | C24 | #8541 | 1 | 2 | yes | — |
| 294 | C24 | #8541 | 1 | 2 | yes | — |
| 295 | C24 | #8541 | 1 | 2 | yes | — |
| 296 | C24 | #8541 | 1 | 4 | yes | — |
| 297 | C24 | #8541 | 1 | 2 | yes | — |
| 298 | C24 | #12707 | 1 | 2 | yes | complemented |
| 299 | C24 | #14679 | 1 | 1 | yes | characteristic |
| 300 | C24 | C2×#1781 | 1 | 1 | yes | characteristic |
| 301 | C24 | C2×#1781 | 1 | 1 | yes | characteristic |
| 302 | C24 | C2×#1781 | 1 | 2 | yes | — |
| 303 | C24 | C2×#1781 | 1 | 2 | yes | — |
| 304 | C24 | C2×#1781 | 1 | 1 | yes | characteristic |
| 305 | C24 | C2×#1781 | 1 | 1 | yes | characteristic |
| 306 | C24 | C2×#1781 | 1 | 1 | yes | characteristic |
| 307 | C24 | C2×#1781 | 1 | 1 | yes | characteristic |
| 308 | C22×C4 | #8541 | 1 | 4 | yes | — |
| 309 | C22×C4 | #12707 | 1 | 2 | yes | complemented |
| 310 | C22×C4 | C2×#1781 | 1 | 8 | yes | — |
| 311 | C23 | #133839 | 1 | 4 | yes | — |
| 312 | C23 | C2×#8541 | 1 | 2 | yes | — |
| 313 | C23 | C2×#8541 | 1 | 1 | yes | characteristic |
| 314 | C23 | C2×#8541 | 1 | 1 | yes | characteristic |
| 315 | C23 | #392109 | 1 | 1 | yes | characteristic |
| 316 | C23 | #392109 | 1 | 2 | yes | — |
| 317 | C23 | C2×#12707 | 1 | 1 | yes | characteristic |
| 318 | C23 | C2×#12707 | 1 | 1 | yes | characteristic |
| 319 | C23 | #493398 | 1 | 2 | yes | — |
| 320 | C22 | #72210555 | 1 | 1 | yes | characteristic |
| 321 | C22 | C2×#133839 | 1 | 2 | yes | — |
| 322 | C22 | #72218518 | 1 | 1 | yes | characteristic |
| 323 | C22 | #72240419 | 1 | 2 | yes | — |
| 324 | C22 | #72258026 | 1 | 1 | yes | characteristic |
| 325 | C2 | #72240420 | 1 | 2 | yes | — |
| 326 | C2 | #72266190 | 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