← #27095792
Subgroups — #27095792
Order 12032.
1746 conjugacy classes of subgroups.
The subgroup lattice has 444 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #20257255 | C2 | 1 | 2 | yes | maximal |
| 2 | #20255917 | C2 | 1 | 8 | yes | maximal, complemented |
| 3 | #20255842 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #20253360 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #20253189 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #20253044 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C2×#15689231 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20252107 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #20251980 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C47×#3162 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C22×Dic188 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#13094030 | C22 | 1 | 2 | yes | — |
| 13 | #15689858 | — | 2 | 2 | no | — |
| 14 | #15689852 | — | 2 | 2 | no | — |
| 15 | #15689847 | C22 | 1 | 4 | yes | — |
| 16 | #15689846 | — | 2 | 4 | no | — |
| 17 | #15689834 | C22 | 1 | 4 | yes | — |
| 18 | #15689811 | C22 | 1 | 8 | yes | — |
| 19 | #15689722 | — | 2 | 4 | no | — |
| 20 | #15689699 | C22 | 1 | 4 | yes | — |
| 21 | #15689673 | C22 | 1 | 1 | yes | characteristic |
| 22 | #15689659 | — | 2 | 4 | no | — |
| 23 | #15689603 | C22 | 1 | 4 | yes | — |
| 24 | C2×C4×Dic94 | C22 | 1 | 2 | yes | — |
| 25 | #15689467 | C22 | 1 | 8 | yes | — |
| 26 | #15689466 | C22 | 1 | 8 | yes | — |
| 27 | #15689460 | C22 | 1 | 8 | yes | — |
| 28 | #15689455 | C22 | 1 | 8 | yes | — |
| 29 | #15689427 | C22 | 1 | 8 | yes | — |
| 30 | #15689415 | C22 | 1 | 4 | yes | — |
| 31 | #15689405 | C22 | 1 | 4 | yes | — |
| 32 | #15689382 | C22 | 1 | 4 | yes | — |
| 33 | #15689382 | C22 | 1 | 4 | yes | — |
| 34 | #15689365 | C22 | 1 | 8 | yes | — |
| 35 | #15689231 | C22 | 1 | 8 | yes | — |
| 36 | #15689196 | C22 | 1 | 8 | yes | — |
| 37 | #15689166 | C22 | 1 | 4 | yes | — |
| 38 | #15689164 | C22 | 1 | 8 | yes | — |
| 39 | #15689158 | C22 | 1 | 4 | yes | — |
| 40 | C2×#13093956 | C22 | 1 | 1 | yes | characteristic |
| 41 | #106×D47 | C22 | 1 | 4 | yes | — |
| 42 | #15689147 | C22 | 1 | 1 | yes | characteristic |
| 43 | #15689131 | C22 | 1 | 4 | yes | — |
| 44 | C2×#13093949 | C22 | 1 | 2 | yes | — |
| 45 | #15689089 | C22 | 1 | 2 | yes | — |
| 46 | C47×#533 | C22 | 1 | 2 | yes | — |
| 47 | C47×#501 | C22 | 1 | 4 | yes | — |
| 48 | C47×#501 | C22 | 1 | 4 | yes | — |
| 49 | C47×#427 | C22 | 1 | 2 | yes | — |
| 50 | C47×#427 | C22 | 1 | 2 | yes | — |
| 51 | C2×#97×C47 | C22 | 1 | 1 | yes | characteristic |
| 52 | C2×#10625350 | C23 | 1 | 2 | yes | — |
| 53 | C22×Dic94 | C23 | 1 | 2 | yes | — |
| 54 | C2×Dic188 | — | 2 | 4 | no | — |
| 55 | C2×Dic188 | C23 | 1 | 4 | yes | — |
| 56 | #13094030 | — | 2 | 8 | no | — |
| 57 | C2×#10625329 | C23 | 1 | 2 | yes | — |
| 58 | C2×#10625324 | C23 | 1 | 4 | yes | — |
| 59 | C2×C8×D47 | C23 | 1 | 4 | yes | — |
| 60 | #13094024 | — | 2 | 4 | no | — |
| 61 | #13094024 | D4 | 1 | 1 | yes | characteristic |
| 62 | #13094021 | D4 | 1 | 1 | yes | characteristic |
| 63 | #13094019 | — | 2 | 8 | no | — |
| 64 | #13094019 | — | 2 | 8 | no | — |
| 65 | #13094015 | — | 2 | 8 | no | — |
| 66 | #13094015 | — | 2 | 4 | no | — |
| 67 | #13094013 | — | 2 | 4 | no | — |
| 68 | #13094012 | — | 2 | 4 | no | — |
| 69 | #13094012 | D4 | 1 | 2 | yes | — |
| 70 | #13094009 | — | 2 | 8 | no | — |
| 71 | #13094008 | — | 2 | 8 | no | — |
| 72 | #13094004 | C23 | 1 | 8 | yes | — |
| 73 | #13094004 | C23 | 1 | 8 | yes | — |
| 74 | #13094000 | — | 2 | 8 | no | — |
| 75 | #13093998 | D4 | 1 | 4 | yes | — |
| 76 | Q8×Dic47 | — | 2 | 4 | no | — |
| 77 | C4×Dic94 | — | 2 | 4 | no | — |
| 78 | C4×Dic94 | — | 2 | 2 | no | — |
| 79 | C4×Dic94 | — | 2 | 2 | no | — |
| 80 | C4×Dic94 | C23 | 1 | 4 | yes | — |
| 81 | C4×Dic94 | C23 | 1 | 4 | yes | — |
| 82 | C4×D188 | — | 2 | 4 | no | — |
| 83 | C4×D188 | C23 | 1 | 4 | yes | — |
| 84 | #13093986 | — | 2 | 4 | no | — |
| 85 | (C22⋊D47)⋊C4 | — | 2 | 8 | no | — |
| 86 | #13093982 | — | 2 | 8 | no | — |
| 87 | #13093982 | C23 | 1 | 8 | yes | — |
| 88 | C2×C4⋊Dic47 | C23 | 1 | 2 | yes | — |
| 89 | C2×Dic47⋊C4 | — | 2 | 2 | no | — |
| 90 | C4⋊C4×D47 | C23 | 1 | 8 | yes | — |
| 91 | C2×C4×Dic47 | — | 2 | 2 | no | — |
| 92 | #13093957 | C23 | 1 | 8 | yes | — |
| 93 | #13093956 | C23 | 1 | 4 | yes | — |
| 94 | #13093955 | C23 | 1 | 8 | yes | — |
| 95 | C4⋊(C47⋊C8) | C23 | 1 | 4 | yes | — |
| 96 | #13093949 | C23 | 1 | 8 | yes | — |
| 97 | #13093947 | C23 | 1 | 8 | yes | — |
| 98 | #13093947 | C23 | 1 | 8 | yes | — |
| 99 | (C2×D47)⋊C8 | C23 | 1 | 8 | yes | — |
| 100 | C22×C8×C47 | C23 | 1 | 1 | yes | characteristic |
| 101 | C22×C8×C47 | C23 | 1 | 1 | yes | characteristic |
| 102 | C4⋊Q8×C47 | C23 | 1 | 2 | yes | — |
| 103 | C4⋊Q8×C47 | C23 | 1 | 2 | yes | — |
| 104 | #125×C47 | C23 | 1 | 4 | yes | — |
| 105 | C22⋊Q8×C47 | — | 2 | 2 | no | — |
| 106 | C22⋊Q8×C47 | — | 2 | 2 | no | — |
| 107 | C4×Q8×C47 | — | 2 | 2 | no | — |
| 108 | C4×Q8×C47 | — | 2 | 2 | no | — |
| 109 | #117×C47 | C23 | 1 | 4 | yes | — |
| 110 | C2×C42×C47 | C23 | 1 | 1 | yes | characteristic |
| 111 | #107×C47 | C23 | 1 | 4 | yes | — |
| 112 | #107×C47 | C23 | 1 | 4 | yes | — |
| 113 | #106×C47 | C23 | 1 | 2 | yes | — |
| 114 | #106×C47 | C23 | 1 | 2 | yes | — |
| 115 | #106×C47 | C23 | 1 | 2 | yes | — |
| 116 | #106×C47 | C23 | 1 | 2 | yes | — |
| 117 | #97×C47 | C23 | 1 | 4 | yes | — |
| 118 | C2×Q8×C47 | — | 2 | 2 | no | — |
| 119 | C2×Q8×C47 | — | 2 | 2 | no | — |
| 120 | C22×C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 121 | C22×C4×C47 | C24 | 1 | 1 | yes | characteristic |
| 122 | C2×C22⋊D47 | C2×D4 | 1 | 4 | yes | — |
| 123 | C22×Dic47 | — | 2 | 2 | no | — |
| 124 | C22×Dic47 | — | 2 | 2 | no | — |
| 125 | #10625350 | — | 2 | 4 | no | — |
| 126 | #10625350 | — | 2 | 4 | no | — |
| 127 | C2×D188 | C2×D4 | 1 | 2 | yes | — |
| 128 | C2×D188 | C2×D4 | 1 | 4 | yes | — |
| 129 | C2×C4×D47 | — | 2 | 8 | no | — |
| 130 | C2×C4×D47 | C24 | 1 | 4 | yes | — |
| 131 | C2×Dic94 | — | 2 | 4 | no | — |
| 132 | C2×Dic94 | — | 2 | 4 | no | — |
| 133 | C2×Dic94 | — | 2 | 2 | no | — |
| 134 | C2×Dic94 | C2×D4 | 1 | 2 | yes | — |
| 135 | C2×Dic94 | C24 | 1 | 4 | yes | — |
| 136 | C2×C8×C47 | — | 2 | 2 | no | — |
| 137 | C2×C8×C47 | #41 | 1 | 4 | yes | — |
| 138 | C2×C8×C47 | C24 | 1 | 2 | yes | — |
| 139 | C2×C8×C47 | C24 | 1 | 2 | yes | — |
| 140 | C4⋊C4×C47 | — | 2 | 4 | no | — |
| 141 | C4⋊C4×C47 | — | 2 | 4 | no | — |
| 142 | C4⋊C4×C47 | — | 2 | 2 | no | — |
| 143 | C4⋊C4×C47 | — | 2 | 2 | no | — |
| 144 | C4⋊C4×C47 | C24 | 1 | 4 | yes | — |
| 145 | C4⋊C4×C47 | C24 | 1 | 4 | yes | — |
| 146 | C22⋊C4×C47 | — | 2 | 4 | no | — |
| 147 | C42×C47 | — | 2 | 4 | no | — |
| 148 | C42×C47 | C2×D4 | 1 | 1 | yes | characteristic |
| 149 | C42×C47 | C2×D4 | 1 | 1 | yes | characteristic |
| 150 | C42×C47 | C24 | 1 | 2 | yes | — |
| 151 | (C2×D47)⋊C4 | — | 2 | 8 | no | — |
| 152 | (C2×D47)⋊C4 | — | 2 | 8 | no | — |
| 153 | (C2×D47)⋊C4 | — | 2 | 8 | no | — |
| 154 | (C2×D47)⋊C4 | C2×D4 | 1 | 8 | yes | — |
| 155 | C4⋊Dic47 | — | 2 | 2 | no | — |
| 156 | C4⋊Dic47 | — | 2 | 8 | no | — |
| 157 | C4⋊Dic47 | — | 2 | 8 | no | — |
| 158 | C4⋊Dic47 | C2×D4 | 1 | 4 | yes | — |
| 159 | C4⋊Dic47 | C24 | 1 | 4 | yes | — |
| 160 | Dic47⋊C4 | — | 2 | 4 | no | — |
| 161 | Dic47⋊C4 | — | 2 | 4 | no | — |
| 162 | Dic47⋊C4 | — | 2 | 8 | no | — |
| 163 | C4×Dic47 | — | 2 | 4 | no | — |
| 164 | C4×Dic47 | — | 2 | 4 | no | — |
| 165 | C4×Dic47 | — | 2 | 8 | no | — |
| 166 | #10625329 | — | 2 | 4 | no | — |
| 167 | C2×C47⋊C8 | C24 | 1 | 4 | yes | — |
| 168 | Dic188 | — | 2 | 8 | no | — |
| 169 | #10625324 | — | 2 | 8 | no | — |
| 170 | C8×D47 | — | 2 | 8 | no | — |
| 171 | C23×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 172 | C22×D47 | C22×D4 | 1 | 4 | yes | — |
| 173 | Q8×C47 | — | 4 | 4 | no | — |
| 174 | Q8×C47 | — | 8 | 2 | no | — |
| 175 | C2×C4×C47 | — | 2 | 4 | no | — |
| 176 | C2×C4×C47 | — | 2 | 4 | no | — |
| 177 | C2×C4×C47 | — | 4 | 2 | no | — |
| 178 | C2×C4×C47 | C22×D4 | 1 | 2 | yes | — |
| 179 | C2×C4×C47 | C22×D4 | 1 | 2 | yes | — |
| 180 | C2×C4×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×C4×C47 | C2×#41 | 1 | 2 | yes | — |
| 182 | C2×C4×C47 | 2−1+4 | 1 | 2 | yes | — |
| 183 | C2×C4×C47 | C25 | 1 | 1 | yes | characteristic |
| 184 | C22⋊D47 | — | 2 | 8 | no | — |
| 185 | C2×Dic47 | — | 2 | 4 | no | — |
| 186 | C2×Dic47 | — | 2 | 4 | no | — |
| 187 | C2×Dic47 | — | 4 | 4 | no | — |
| 188 | C2×Dic47 | — | 8 | 2 | no | — |
| 189 | C2×Dic47 | C22×D4 | 1 | 4 | yes | — |
| 190 | D188 | — | 2 | 4 | no | — |
| 191 | D188 | — | 4 | 4 | no | — |
| 192 | C4×D47 | — | 2 | 4 | no | — |
| 193 | C4×D47 | — | 2 | 4 | no | — |
| 194 | C4×D47 | — | 8 | 8 | no | — |
| 195 | Dic94 | — | 2 | 4 | no | — |
| 196 | Dic94 | — | 2 | 4 | no | — |
| 197 | Dic94 | — | 2 | 4 | no | — |
| 198 | Dic94 | — | 4 | 4 | no | — |
| 199 | C8×C47 | — | 2 | 2 | no | — |
| 200 | C8×C47 | C2×#41 | 1 | 4 | yes | — |
| 201 | C47⋊C8 | — | 2 | 4 | no | — |
| 202 | #61292 | — | 47 | 1 | no | maximal, Sylow |
| 203 | C22×C47 | — | 2 | 2 | no | — |
| 204 | C22×C47 | #547 | 1 | 2 | yes | — |
| 205 | C22×C47 | C23×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×D47 | — | 2 | 8 | no | — |
| 207 | C2×D47 | — | 2 | 4 | no | — |
| 208 | C4×C47 | — | 2 | 2 | no | — |
| 209 | C4×C47 | — | 2 | 2 | no | — |
| 210 | C4×C47 | — | 4 | 4 | no | — |
| 211 | C4×C47 | — | 4 | 4 | no | — |
| 212 | C4×C47 | #547 | 1 | 2 | yes | — |
| 213 | C4×C47 | C22×#41 | 1 | 1 | yes | characteristic |
| 214 | C4×C47 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 215 | Dic47 | — | 2 | 4 | no | — |
| 216 | Dic47 | — | 4 | 4 | no | — |
| 217 | Dic47 | — | 4 | 4 | no | — |
| 218 | #3507 | — | 47 | 2 | no | — |
| 219 | #3349 | — | 47 | 8 | no | — |
| 220 | #3344 | — | 47 | 8 | no | — |
| 221 | #3162 | D47 | 1 | 1 | yes | characteristic, complemented |
| 222 | #3097 | — | 47 | 4 | no | — |
| 223 | #3078 | — | 47 | 2 | no | — |
| 224 | #3059 | — | 47 | 2 | no | — |
| 225 | C2×#441 | — | 47 | 1 | no | — |
| 226 | #2932 | — | 47 | 1 | no | — |
| 227 | #2912 | — | 47 | 2 | no | — |
| 228 | C2×C47 | — | 2 | 2 | no | — |
| 229 | C2×C47 | C2×#547 | 1 | 1 | yes | characteristic |
| 230 | C2×C47 | #3586 | 1 | 2 | yes | — |
| 231 | D47 | — | 4 | 4 | no | — |
| 232 | C22×Q16 | — | 47 | 1 | no | — |
| 233 | C2×#131 | — | 47 | 2 | no | — |
| 234 | #559 | — | 94 | 2 | no | — |
| 235 | #557 | — | 94 | 2 | no | — |
| 236 | #556 | — | 47 | 4 | no | — |
| 237 | #556 | — | 94 | 4 | no | — |
| 238 | #554 | — | 47 | 4 | no | — |
| 239 | #552 | — | 47 | 8 | no | — |
| 240 | #539 | — | 94 | 4 | no | — |
| 241 | #536 | — | 47 | 4 | no | — |
| 242 | #533 | C2×D47 | 1 | 2 | yes | — |
| 243 | #532 | — | 47 | 1 | no | — |
| 244 | #529 | — | 94 | 4 | no | — |
| 245 | #520 | — | 47 | 4 | no | — |
| 246 | C2×C4×Q8 | — | 47 | 2 | no | — |
| 247 | #501 | C2×D47 | 1 | 4 | yes | — |
| 248 | #501 | C2×D47 | 1 | 4 | yes | — |
| 249 | #485 | — | 47 | 8 | no | — |
| 250 | #485 | — | 47 | 8 | no | — |
| 251 | #484 | — | 47 | 8 | no | — |
| 252 | #483 | — | 47 | 8 | no | — |
| 253 | #479 | — | 47 | 8 | no | — |
| 254 | #477 | — | 47 | 4 | no | — |
| 255 | #475 | — | 47 | 4 | no | — |
| 256 | #470 | — | 47 | 4 | no | — |
| 257 | #470 | — | 47 | 4 | no | — |
| 258 | #467 | — | 47 | 8 | no | — |
| 259 | #441 | — | 47 | 8 | no | — |
| 260 | #435 | — | 47 | 8 | no | — |
| 261 | #428 | — | 47 | 4 | no | — |
| 262 | #428 | — | 47 | 8 | no | — |
| 263 | #427 | — | 47 | 4 | no | — |
| 264 | #427 | C2×D47 | 1 | 2 | yes | — |
| 265 | #427 | C2×D47 | 1 | 2 | yes | — |
| 266 | C2×#106 | — | 47 | 1 | no | — |
| 267 | C2×#106 | — | 47 | 4 | no | — |
| 268 | #423 | — | 47 | 1 | no | — |
| 269 | #419 | — | 47 | 4 | no | — |
| 270 | C2×#103 | — | 47 | 2 | no | — |
| 271 | #408 | — | 47 | 2 | no | — |
| 272 | C2×#97 | C2×D47 | 1 | 1 | yes | characteristic |
| 273 | C47 | #61292 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 274 | C2×#41 | — | 47 | 2 | no | — |
| 275 | C22×Q8 | — | 47 | 2 | no | — |
| 276 | C2×Q16 | — | 47 | 4 | no | — |
| 277 | C2×Q16 | — | 94 | 4 | no | — |
| 278 | #131 | — | 94 | 8 | no | — |
| 279 | C2×M16 | — | 47 | 2 | no | — |
| 280 | C2×M16 | — | 47 | 4 | no | — |
| 281 | C22×C8 | — | 47 | 4 | no | — |
| 282 | C22×C8 | C22×D47 | 1 | 1 | yes | characteristic |
| 283 | C22×C8 | C22×D47 | 1 | 1 | yes | characteristic |
| 284 | C4⋊Q8 | — | 47 | 1 | no | — |
| 285 | C4⋊Q8 | — | 94 | 4 | no | — |
| 286 | C4⋊Q8 | C22×D47 | 1 | 2 | yes | — |
| 287 | C4⋊Q8 | C22×D47 | 1 | 2 | yes | — |
| 288 | #127 | — | 47 | 1 | no | — |
| 289 | #126 | — | 94 | 8 | no | — |
| 290 | #126 | — | 94 | 8 | no | — |
| 291 | #125 | — | 94 | 4 | no | — |
| 292 | #125 | — | 94 | 8 | no | — |
| 293 | #125 | C22×D47 | 1 | 4 | yes | — |
| 294 | #124 | — | 47 | 2 | no | — |
| 295 | #124 | — | 94 | 4 | no | — |
| 296 | #124 | — | 94 | 4 | no | — |
| 297 | #123 | — | 94 | 8 | no | — |
| 298 | #123 | — | 94 | 8 | no | — |
| 299 | C22⋊Q8 | — | 2 | 2 | no | — |
| 300 | C22⋊Q8 | — | 2 | 2 | no | — |
| 301 | C22⋊Q8 | — | 47 | 8 | no | — |
| 302 | C22⋊Q8 | — | 47 | 8 | no | — |
| 303 | C22⋊Q8 | — | 94 | 8 | no | — |
| 304 | #121 | — | 47 | 4 | no | — |
| 305 | C4×Q8 | — | 2 | 2 | no | — |
| 306 | C4×Q8 | — | 2 | 2 | no | — |
| 307 | C4×Q8 | — | 47 | 4 | no | — |
| 308 | C4×Q8 | — | 47 | 4 | no | — |
| 309 | C4×Q8 | — | 94 | 4 | no | — |
| 310 | C4×Q8 | — | 94 | 4 | no | — |
| 311 | C4×Q8 | — | 94 | 2 | no | — |
| 312 | C4×Q8 | — | 94 | 2 | no | — |
| 313 | C4×D4 | — | 47 | 4 | no | — |
| 314 | C4×D4 | — | 94 | 4 | no | — |
| 315 | C4×D4 | — | 94 | 8 | no | — |
| 316 | C4×D4 | — | 94 | 4 | no | — |
| 317 | #117 | — | 47 | 8 | no | — |
| 318 | #117 | — | 94 | 8 | no | — |
| 319 | #117 | C22×D47 | 1 | 4 | yes | — |
| 320 | C2×C4⋊C4 | — | 47 | 2 | no | — |
| 321 | C2×C4⋊C4 | — | 47 | 8 | no | — |
| 322 | C2×C4⋊C4 | — | 94 | 2 | no | — |
| 323 | C2×C42 | — | 94 | 2 | no | — |
| 324 | C2×C42 | C22×D47 | 1 | 1 | yes | characteristic |
| 325 | #107 | — | 47 | 8 | no | — |
| 326 | #107 | C22×D47 | 1 | 4 | yes | — |
| 327 | #107 | C22×D47 | 1 | 4 | yes | — |
| 328 | #106 | — | 47 | 4 | no | — |
| 329 | #106 | — | 47 | 8 | no | — |
| 330 | #106 | C22×D47 | 1 | 2 | yes | — |
| 331 | #106 | C22×D47 | 1 | 2 | yes | — |
| 332 | #106 | C22×D47 | 1 | 2 | yes | — |
| 333 | #106 | C22×D47 | 1 | 2 | yes | — |
| 334 | C4⋊C8 | — | 47 | 4 | no | — |
| 335 | #103 | — | 47 | 8 | no | — |
| 336 | #103 | — | 47 | 8 | no | — |
| 337 | #103 | — | 47 | 8 | no | — |
| 338 | C22⋊C8 | — | 47 | 8 | no | — |
| 339 | #97 | C22×D47 | 1 | 4 | yes | — |
| 340 | #41 | — | 94 | 4 | no | — |
| 341 | #41 | — | 94 | 4 | no | — |
| 342 | C2×Q8 | — | 2 | 2 | no | — |
| 343 | C2×Q8 | — | 2 | 2 | no | — |
| 344 | C2×Q8 | — | 47 | 2 | no | — |
| 345 | C2×Q8 | — | 47 | 4 | no | — |
| 346 | C2×Q8 | — | 94 | 2 | no | — |
| 347 | C2×Q8 | — | 94 | 4 | no | — |
| 348 | C2×Q8 | — | 94 | 4 | no | — |
| 349 | C2×D4 | — | 47 | 4 | no | — |
| 350 | C2×D4 | — | 47 | 2 | no | — |
| 351 | C2×D4 | — | 47 | 4 | no | — |
| 352 | C22×C4 | — | 47 | 4 | no | — |
| 353 | C22×C4 | — | 94 | 8 | no | — |
| 354 | C22×C4 | — | 94 | 2 | no | — |
| 355 | C22×C4 | — | 94 | 2 | no | — |
| 356 | C22×C4 | D4×D47 | 1 | 2 | yes | — |
| 357 | C22×C4 | C23×D47 | 1 | 1 | yes | characteristic |
| 358 | Q16 | — | 94 | 8 | no | — |
| 359 | M16 | — | 94 | 4 | no | — |
| 360 | M16 | — | 94 | 8 | no | — |
| 361 | C2×C8 | — | 2 | 2 | no | — |
| 362 | C2×C8 | — | 47 | 4 | no | — |
| 363 | C2×C8 | — | 94 | 8 | no | — |
| 364 | C2×C8 | #10625354 | 1 | 4 | yes | — |
| 365 | C2×C8 | C23×D47 | 1 | 2 | yes | — |
| 366 | C2×C8 | C23×D47 | 1 | 2 | yes | — |
| 367 | C4⋊C4 | — | 2 | 4 | no | — |
| 368 | C4⋊C4 | — | 2 | 2 | no | — |
| 369 | C4⋊C4 | — | 2 | 4 | no | — |
| 370 | C4⋊C4 | — | 2 | 2 | no | — |
| 371 | C4⋊C4 | — | 47 | 4 | no | — |
| 372 | C4⋊C4 | — | 47 | 4 | no | — |
| 373 | C4⋊C4 | — | 94 | 8 | no | — |
| 374 | C4⋊C4 | — | 94 | 8 | no | — |
| 375 | C4⋊C4 | — | 94 | 8 | no | — |
| 376 | C4⋊C4 | — | 94 | 4 | no | — |
| 377 | C4⋊C4 | — | 94 | 4 | no | — |
| 378 | C4⋊C4 | — | 94 | 2 | no | — |
| 379 | C4⋊C4 | C23×D47 | 1 | 4 | yes | — |
| 380 | C4⋊C4 | C23×D47 | 1 | 4 | yes | — |
| 381 | C22⋊C4 | — | 2 | 4 | no | — |
| 382 | C22⋊C4 | — | 47 | 8 | no | — |
| 383 | C22⋊C4 | — | 94 | 8 | no | — |
| 384 | C22⋊C4 | — | 94 | 8 | no | — |
| 385 | C22⋊C4 | — | 94 | 8 | no | — |
| 386 | C42 | — | 2 | 4 | no | — |
| 387 | C42 | — | 94 | 8 | no | — |
| 388 | C42 | — | 94 | 4 | no | — |
| 389 | C42 | — | 94 | 4 | no | — |
| 390 | C42 | D4×D47 | 1 | 1 | yes | characteristic |
| 391 | C42 | D4×D47 | 1 | 1 | yes | characteristic |
| 392 | C42 | C23×D47 | 1 | 2 | yes | — |
| 393 | C23 | — | 47 | 4 | no | — |
| 394 | C23 | C2×D4×D47 | 1 | 1 | yes | characteristic |
| 395 | Q8 | — | 4 | 4 | no | — |
| 396 | Q8 | — | 8 | 2 | no | — |
| 397 | Q8 | — | 94 | 4 | no | — |
| 398 | Q8 | — | 94 | 4 | no | — |
| 399 | Q8 | — | 94 | 4 | no | — |
| 400 | Q8 | — | 188 | 4 | no | — |
| 401 | D4 | — | 94 | 8 | no | — |
| 402 | D4 | — | 94 | 4 | no | — |
| 403 | D4 | — | 188 | 4 | no | — |
| 404 | C2×C4 | — | 2 | 4 | no | — |
| 405 | C2×C4 | — | 2 | 4 | no | — |
| 406 | C2×C4 | — | 4 | 2 | no | — |
| 407 | C2×C4 | — | 47 | 4 | no | — |
| 408 | C2×C4 | — | 94 | 4 | no | — |
| 409 | C2×C4 | — | 94 | 4 | no | — |
| 410 | C2×C4 | — | 94 | 4 | no | — |
| 411 | C2×C4 | — | 94 | 4 | no | — |
| 412 | C2×C4 | — | 376 | 8 | no | — |
| 413 | C2×C4 | — | 376 | 2 | no | — |
| 414 | C2×C4 | — | 188 | 4 | no | — |
| 415 | C2×C4 | C2×D4×D47 | 1 | 2 | yes | — |
| 416 | C2×C4 | C2×D4×D47 | 1 | 2 | yes | — |
| 417 | C2×C4 | C2×D4×D47 | 1 | 1 | yes | characteristic |
| 418 | C2×C4 | C2×#10625354 | 1 | 2 | yes | — |
| 419 | C2×C4 | #13094072 | 1 | 2 | yes | — |
| 420 | C2×C4 | C24×D47 | 1 | 1 | yes | characteristic |
| 421 | C8 | — | 2 | 2 | no | — |
| 422 | C8 | — | 94 | 4 | no | — |
| 423 | C8 | C2×#10625354 | 1 | 4 | yes | — |
| 424 | C22 | — | 2 | 2 | no | — |
| 425 | C22 | — | 94 | 4 | no | — |
| 426 | C22 | — | 94 | 8 | no | — |
| 427 | C22 | #15689776 | 1 | 2 | yes | — |
| 428 | C22 | C22×D4×D47 | 1 | 1 | yes | characteristic |
| 429 | C4 | — | 2 | 2 | no | — |
| 430 | C4 | — | 2 | 2 | no | — |
| 431 | C4 | — | 4 | 4 | no | — |
| 432 | C4 | — | 4 | 4 | no | — |
| 433 | C4 | — | 94 | 4 | no | — |
| 434 | C4 | — | 188 | 4 | no | — |
| 435 | C4 | — | 188 | 4 | no | — |
| 436 | C4 | #15689776 | 1 | 2 | yes | — |
| 437 | C4 | C22×#10625354 | 1 | 1 | yes | characteristic |
| 438 | C4 | C2×#13094072 | 1 | 1 | yes | characteristic |
| 439 | C2 | — | 2 | 2 | no | — |
| 440 | C2 | — | 188 | 4 | no | — |
| 441 | C2 | C2×#15689776 | 1 | 1 | yes | characteristic |
| 442 | C2 | #20258172 | 1 | 2 | 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