Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
770 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 85 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13079605 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13079068 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13074722 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13067329 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13067213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13067123 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C11×#1300 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#66961 | — | 2 | 2 | no | — |
| 9 | #10623008 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#66928 | — | 2 | 1 | no | — |
| 11 | C2×#66928 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#66927 | — | 2 | 1 | no | — |
| 13 | C2×#66927 | C22 | 1 | 1 | yes | characteristic |
| 14 | C11×#432 | C22 | 1 | 1 | yes | characteristic |
| 15 | C4×C11×M16 | C22 | 1 | 1 | yes | characteristic |
| 16 | C11×#376 | C22 | 1 | 1 | yes | characteristic |
| 17 | #10622539 | C22 | 1 | 1 | yes | characteristic |
| 18 | #10622457 | — | 2 | 2 | no | — |
| 19 | #10622351 | — | 2 | 1 | no | — |
| 20 | #10622345 | — | 2 | 1 | no | — |
| 21 | #10622327 | — | 2 | 1 | no | — |
| 22 | #10622325 | — | 2 | 1 | no | — |
| 23 | #10622325 | — | 2 | 2 | no | — |
| 24 | #10622308 | — | 2 | 1 | no | — |
| 25 | #10622306 | — | 2 | 1 | no | — |
| 26 | #10622284 | — | 2 | 2 | no | — |
| 27 | #10622284 | — | 2 | 2 | no | — |
| 28 | #10622123 | — | 2 | 2 | no | — |
| 29 | #10622102 | — | 2 | 2 | no | — |
| 30 | #10622089 | — | 2 | 2 | no | — |
| 31 | C2×#4339 | — | 2 | 1 | no | — |
| 32 | C22×D44 | — | 2 | 1 | no | — |
| 33 | C22×D44 | — | 2 | 4 | no | — |
| 34 | C22×D44 | — | 2 | 1 | no | — |
| 35 | C22×D44 | D4 | 1 | 1 | yes | characteristic |
| 36 | C22×D44 | D4 | 1 | 2 | yes | — |
| 37 | C22×Dic22 | D4 | 1 | 1 | yes | characteristic |
| 38 | C2×C11×M16 | — | 2 | 1 | no | — |
| 39 | C2×C42×C11 | — | 2 | 1 | no | — |
| 40 | C2×C42×C11 | C23 | 1 | 1 | yes | characteristic |
| 41 | #66983 | — | 2 | 1 | no | — |
| 42 | #66983 | — | 2 | 1 | no | — |
| 43 | C2×(C2×D11)⋊C4 | — | 2 | 4 | no | — |
| 44 | C2×(C2×D11)⋊C4 | — | 2 | 1 | no | — |
| 45 | C2×(C2×D11)⋊C4 | — | 2 | 1 | no | — |
| 46 | #66961 | — | 4 | 8 | no | — |
| 47 | C2×D88 | — | 2 | 4 | no | — |
| 48 | C2×D88 | — | 2 | 2 | no | — |
| 49 | C2×#4314 | — | 2 | 4 | no | — |
| 50 | C2×#4314 | — | 2 | 2 | no | — |
| 51 | #66928 | — | 2 | 1 | no | — |
| 52 | #66928 | — | 2 | 1 | no | — |
| 53 | #66928 | — | 2 | 1 | no | — |
| 54 | #66928 | — | 2 | 1 | no | — |
| 55 | #66928 | — | 2 | 1 | no | — |
| 56 | #66928 | — | 4 | 4 | no | — |
| 57 | #66927 | — | 2 | 1 | no | — |
| 58 | #66927 | — | 2 | 1 | no | — |
| 59 | #66927 | — | 2 | 1 | no | — |
| 60 | #66927 | — | 2 | 1 | no | — |
| 61 | #66927 | — | 4 | 4 | no | — |
| 62 | #66927 | D4 | 1 | 1 | yes | characteristic, complemented |
| 63 | C4×D44 | — | 2 | 1 | no | — |
| 64 | C4×D44 | — | 2 | 1 | no | — |
| 65 | #66922 | D4 | 1 | 1 | yes | characteristic, complemented |
| 66 | C11×C4⋊C8 | D4 | 1 | 2 | yes | complemented |
| 67 | C11×C22⋊C8 | — | 2 | 1 | no | — |
| 68 | C11×#97 | — | 2 | 1 | no | — |
| 69 | C11×#97 | D4 | 1 | 2 | yes | complemented |
| 70 | C4×C8×C11 | — | 2 | 1 | no | — |
| 71 | C11×#95 | — | 2 | 1 | no | — |
| 72 | C11×#95 | D4 | 1 | 2 | yes | — |
| 73 | C22⋊(C11⋊C8) | — | 2 | 1 | no | — |
| 74 | #66885 | — | 2 | 2 | no | — |
| 75 | #66880 | — | 2 | 2 | no | — |
| 76 | C4⋊(C11⋊C8) | — | 2 | 1 | no | — |
| 77 | #66867 | — | 2 | 1 | no | — |
| 78 | #10088 | — | 11 | 1 | no | maximal, Sylow |
| 79 | C23×D11 | — | 2 | 2 | no | — |
| 80 | C23×D11 | — | 2 | 1 | no | — |
| 81 | C22×C4×C11 | — | 2 | 2 | no | — |
| 82 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 83 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 85 | C2×C22⋊D11 | — | 4 | 1 | no | — |
| 86 | C22×Dic11 | — | 2 | 1 | no | — |
| 87 | #4339 | — | 4 | 4 | no | — |
| 88 | C2×D44 | — | 2 | 1 | no | — |
| 89 | C2×D44 | — | 2 | 1 | no | — |
| 90 | C2×D44 | — | 2 | 2 | no | — |
| 91 | C2×D44 | — | 2 | 1 | no | — |
| 92 | C2×D44 | — | 2 | 1 | no | — |
| 93 | C2×D44 | — | 2 | 2 | no | — |
| 94 | C2×D44 | — | 2 | 1 | no | — |
| 95 | C2×D44 | — | 4 | 2 | no | — |
| 96 | C2×D44 | — | 4 | 2 | no | — |
| 97 | C2×D44 | — | 4 | 8 | no | — |
| 98 | C2×D44 | — | 4 | 2 | no | — |
| 99 | C2×D44 | — | 4 | 4 | no | — |
| 100 | C2×D44 | — | 4 | 1 | no | — |
| 101 | C2×D44 | — | 4 | 1 | no | — |
| 102 | C2×D44 | — | 4 | 1 | no | — |
| 103 | C2×D44 | — | 4 | 1 | no | — |
| 104 | C2×D44 | — | 8 | 2 | no | — |
| 105 | C2×D44 | — | 8 | 4 | no | — |
| 106 | C2×D44 | — | 8 | 4 | no | — |
| 107 | C2×C4×D11 | — | 4 | 1 | no | — |
| 108 | C2×Dic22 | — | 2 | 1 | no | — |
| 109 | C2×Dic22 | — | 2 | 1 | no | — |
| 110 | C2×Dic22 | — | 2 | 1 | no | — |
| 111 | C2×Dic22 | — | 4 | 2 | no | — |
| 112 | C11×M16 | — | 2 | 4 | no | — |
| 113 | C2×C8×C11 | — | 2 | 2 | no | — |
| 114 | C2×C8×C11 | — | 2 | 2 | no | — |
| 115 | C42×C11 | — | 2 | 4 | no | — |
| 116 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C42×C11 | #41 | 1 | 1 | yes | characteristic |
| 120 | (C2×D11)⋊C4 | — | 4 | 8 | no | — |
| 121 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 122 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 123 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 124 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 125 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 126 | (C2×D11)⋊C4 | — | 4 | 1 | no | — |
| 127 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 128 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 129 | C2×C11⋊C8 | — | 4 | 1 | no | — |
| 130 | D88 | — | 4 | 8 | no | — |
| 131 | D88 | — | 8 | 2 | no | — |
| 132 | #4314 | — | 4 | 8 | no | — |
| 133 | #4314 | — | 8 | 2 | no | — |
| 134 | #3213 | — | 11 | 1 | no | — |
| 135 | #3151 | — | 11 | 1 | no | — |
| 136 | #2657 | — | 11 | 1 | no | — |
| 137 | #1555 | — | 11 | 1 | no | — |
| 138 | #1527 | — | 11 | 1 | no | — |
| 139 | #1505 | — | 11 | 1 | no | — |
| 140 | #1300 | D11 | 1 | 1 | yes | characteristic, complemented |
| 141 | C23×C11 | #120 | 1 | 1 | yes | characteristic |
| 142 | C22×D11 | — | 4 | 2 | no | — |
| 143 | C22×D11 | — | 4 | 2 | no | — |
| 144 | C22×D11 | — | 4 | 2 | no | — |
| 145 | C22×D11 | — | 4 | 4 | no | — |
| 146 | C22×D11 | — | 4 | 2 | no | — |
| 147 | C22×D11 | — | 4 | 1 | no | — |
| 148 | C22×D11 | — | 4 | 1 | no | — |
| 149 | C22×D11 | — | 4 | 2 | no | — |
| 150 | C22×D11 | — | 4 | 4 | no | — |
| 151 | C22×D11 | — | 4 | 2 | no | — |
| 152 | C2×C4×C11 | — | 2 | 2 | no | — |
| 153 | C2×C4×C11 | — | 2 | 2 | no | — |
| 154 | C2×C4×C11 | — | 2 | 4 | no | — |
| 155 | C2×C4×C11 | — | 4 | 1 | no | — |
| 156 | C2×C4×C11 | — | 4 | 2 | no | — |
| 157 | C2×C4×C11 | — | 4 | 2 | no | — |
| 158 | C2×C4×C11 | #120 | 1 | 1 | yes | characteristic |
| 159 | C2×C4×C11 | #120 | 1 | 1 | yes | characteristic |
| 160 | C2×C4×C11 | #121 | 1 | 1 | yes | characteristic |
| 161 | C2×C4×C11 | #121 | 1 | 1 | yes | characteristic |
| 162 | C2×C4×C11 | #121 | 1 | 1 | yes | characteristic |
| 163 | C2×C4×C11 | #127 | 1 | 1 | yes | characteristic |
| 164 | C22⋊D11 | — | 8 | 2 | no | — |
| 165 | C2×Dic11 | — | 4 | 2 | no | — |
| 166 | C2×Dic11 | — | 4 | 1 | no | — |
| 167 | C2×Dic11 | — | 4 | 1 | no | — |
| 168 | D44 | — | 4 | 4 | no | — |
| 169 | D44 | — | 4 | 2 | no | — |
| 170 | D44 | — | 4 | 2 | no | — |
| 171 | D44 | — | 4 | 2 | no | — |
| 172 | D44 | — | 8 | 1 | no | — |
| 173 | D44 | — | 8 | 1 | no | — |
| 174 | D44 | — | 8 | 2 | no | — |
| 175 | D44 | — | 8 | 2 | no | — |
| 176 | D44 | — | 8 | 2 | no | — |
| 177 | D44 | — | 8 | 2 | no | — |
| 178 | D44 | — | 8 | 16 | no | — |
| 179 | D44 | — | 8 | 2 | no | — |
| 180 | C4×D11 | — | 8 | 2 | no | — |
| 181 | Dic22 | — | 4 | 2 | no | — |
| 182 | Dic22 | — | 4 | 2 | no | — |
| 183 | Dic22 | — | 8 | 1 | no | — |
| 184 | C8×C11 | — | 2 | 4 | no | — |
| 185 | C8×C11 | — | 4 | 2 | no | — |
| 186 | C11⋊C8 | — | 8 | 1 | no | — |
| 187 | C2×AGL(1,ℤ/8) | — | 22 | 2 | no | — |
| 188 | #532 | — | 11 | 1 | no | — |
| 189 | C2×#127 | — | 11 | 1 | no | — |
| 190 | C2×#127 | — | 22 | 1 | no | — |
| 191 | C2×#124 | — | 11 | 1 | no | — |
| 192 | C2×#124 | — | 22 | 1 | no | — |
| 193 | #496 | — | 22 | 1 | no | — |
| 194 | #496 | — | 22 | 2 | no | — |
| 195 | #493 | — | 22 | 1 | no | — |
| 196 | #492 | — | 22 | 1 | no | — |
| 197 | #489 | — | 22 | 1 | no | — |
| 198 | #463 | — | 22 | 2 | no | — |
| 199 | #448 | — | 22 | 1 | no | — |
| 200 | #447 | — | 22 | 1 | no | — |
| 201 | #432 | — | 11 | 1 | no | — |
| 202 | #432 | C2×D11 | 1 | 1 | yes | characteristic |
| 203 | C4×M16 | C2×D11 | 1 | 1 | yes | characteristic |
| 204 | #392 | — | 22 | 2 | no | — |
| 205 | #392 | — | 22 | 2 | no | — |
| 206 | #376 | C2×D11 | 1 | 1 | yes | characteristic |
| 207 | #331 | — | 22 | 2 | no | — |
| 208 | #329 | — | 22 | 2 | no | — |
| 209 | #327 | — | 22 | 2 | no | — |
| 210 | C22×C11 | — | 2 | 1 | no | — |
| 211 | C22×C11 | — | 2 | 1 | no | — |
| 212 | C22×C11 | #392 | 1 | 1 | yes | characteristic |
| 213 | C22×C11 | #453 | 1 | 2 | yes | — |
| 214 | C2×D11 | — | 8 | 4 | no | — |
| 215 | C2×D11 | — | 8 | 4 | no | — |
| 216 | C2×D11 | — | 8 | 4 | no | — |
| 217 | C2×D11 | — | 8 | 1 | no | — |
| 218 | C2×D11 | — | 8 | 2 | no | — |
| 219 | C2×D11 | — | 8 | 1 | no | — |
| 220 | C2×D11 | — | 8 | 2 | no | — |
| 221 | C2×D11 | — | 8 | 1 | no | — |
| 222 | C2×D11 | — | 8 | 1 | no | — |
| 223 | C2×D11 | — | 8 | 1 | no | — |
| 224 | C2×D11 | — | 8 | 2 | no | — |
| 225 | C2×D11 | — | 8 | 1 | no | — |
| 226 | C4×C11 | — | 2 | 1 | no | — |
| 227 | C4×C11 | — | 2 | 1 | no | — |
| 228 | C4×C11 | — | 2 | 1 | no | — |
| 229 | C4×C11 | — | 2 | 1 | no | — |
| 230 | C4×C11 | — | 2 | 1 | no | — |
| 231 | C4×C11 | — | 4 | 4 | no | — |
| 232 | C4×C11 | #453 | 1 | 2 | yes | — |
| 233 | Dic11 | — | 8 | 1 | no | — |
| 234 | Dic11 | — | 8 | 1 | no | — |
| 235 | C2×#41 | — | 22 | 1 | no | — |
| 236 | C22×Q8 | — | 11 | 1 | no | — |
| 237 | C22×D4 | — | 11 | 1 | no | — |
| 238 | C22×D4 | — | 11 | 2 | no | — |
| 239 | C22×D4 | — | 22 | 4 | no | — |
| 240 | C22×D4 | — | 22 | 1 | no | — |
| 241 | C22×D4 | — | 22 | 1 | no | — |
| 242 | AGL(1,ℤ/8) | — | 44 | 8 | no | — |
| 243 | C2×SD16 | — | 22 | 4 | no | — |
| 244 | C2×SD16 | — | 22 | 2 | no | — |
| 245 | C2×D8 | — | 22 | 4 | no | — |
| 246 | C2×D8 | — | 22 | 2 | no | — |
| 247 | C2×M16 | — | 2 | 1 | no | — |
| 248 | C4⋊Q8 | — | 11 | 1 | no | — |
| 249 | #127 | — | 11 | 1 | no | — |
| 250 | #127 | — | 22 | 1 | no | — |
| 251 | #127 | — | 22 | 1 | no | — |
| 252 | #127 | — | 22 | 1 | no | — |
| 253 | #127 | — | 22 | 1 | no | — |
| 254 | #127 | — | 44 | 4 | no | — |
| 255 | #124 | — | 22 | 1 | no | — |
| 256 | #124 | — | 22 | 1 | no | — |
| 257 | #124 | — | 22 | 1 | no | — |
| 258 | #124 | — | 22 | 1 | no | — |
| 259 | #124 | — | 22 | 1 | no | — |
| 260 | #124 | — | 44 | 4 | no | — |
| 261 | #121 | — | 22 | 1 | no | — |
| 262 | #121 | — | 22 | 1 | no | — |
| 263 | C4×D4 | — | 22 | 1 | no | — |
| 264 | C4×D4 | — | 22 | 1 | no | — |
| 265 | C2×C22⋊C4 | — | 22 | 4 | no | — |
| 266 | C2×C22⋊C4 | — | 22 | 1 | no | — |
| 267 | C2×C22⋊C4 | — | 22 | 1 | no | — |
| 268 | C2×C42 | — | 2 | 1 | no | — |
| 269 | C2×C42 | C22×D11 | 1 | 1 | yes | characteristic |
| 270 | C4⋊C8 | — | 22 | 1 | no | — |
| 271 | C4⋊C8 | D44 | 1 | 2 | yes | complemented |
| 272 | #103 | — | 22 | 2 | no | — |
| 273 | #102 | — | 22 | 2 | no | — |
| 274 | C22⋊C8 | — | 2 | 1 | no | — |
| 275 | C22⋊C8 | — | 22 | 1 | no | — |
| 276 | #97 | — | 2 | 1 | no | — |
| 277 | #97 | — | 22 | 1 | no | — |
| 278 | #97 | D44 | 1 | 2 | yes | complemented |
| 279 | C4×C8 | — | 2 | 1 | no | — |
| 280 | #95 | — | 2 | 1 | no | — |
| 281 | #95 | D44 | 1 | 2 | yes | — |
| 282 | C2×C11 | — | 2 | 2 | no | — |
| 283 | C2×C11 | #2002 | 1 | 1 | yes | characteristic |
| 284 | C2×C11 | #2002 | 1 | 1 | yes | characteristic |
| 285 | C2×C11 | #2008 | 1 | 1 | yes | characteristic |
| 286 | D11 | — | 16 | 1 | no | — |
| 287 | D11 | — | 16 | 2 | no | — |
| 288 | D11 | — | 16 | 1 | no | — |
| 289 | C24 | — | 22 | 2 | no | — |
| 290 | C24 | — | 22 | 1 | no | — |
| 291 | #41 | — | 44 | 4 | no | — |
| 292 | C2×Q8 | — | 22 | 1 | no | — |
| 293 | C2×Q8 | — | 22 | 1 | no | — |
| 294 | C2×Q8 | — | 22 | 1 | no | — |
| 295 | C2×Q8 | — | 44 | 2 | no | — |
| 296 | C2×D4 | — | 22 | 1 | no | — |
| 297 | C2×D4 | — | 22 | 1 | no | — |
| 298 | C2×D4 | — | 22 | 1 | no | — |
| 299 | C2×D4 | — | 22 | 2 | no | — |
| 300 | C2×D4 | — | 22 | 1 | no | — |
| 301 | C2×D4 | — | 22 | 1 | no | — |
| 302 | C2×D4 | — | 22 | 2 | no | — |
| 303 | C2×D4 | — | 44 | 4 | no | — |
| 304 | C2×D4 | — | 44 | 2 | no | — |
| 305 | C2×D4 | — | 44 | 2 | no | — |
| 306 | C2×D4 | — | 44 | 2 | no | — |
| 307 | C2×D4 | — | 44 | 8 | no | — |
| 308 | C2×D4 | — | 44 | 1 | no | — |
| 309 | C2×D4 | — | 44 | 1 | no | — |
| 310 | C2×D4 | — | 44 | 1 | no | — |
| 311 | C2×D4 | — | 44 | 1 | no | — |
| 312 | C2×D4 | — | 44 | 1 | no | — |
| 313 | C2×D4 | — | 88 | 2 | no | — |
| 314 | C2×D4 | — | 88 | 4 | no | — |
| 315 | C2×D4 | — | 88 | 4 | no | — |
| 316 | C22×C4 | — | 2 | 2 | no | — |
| 317 | C22×C4 | — | 22 | 1 | no | — |
| 318 | C22×C4 | — | 44 | 1 | no | — |
| 319 | C22×C4 | C2×D44 | 1 | 1 | yes | characteristic |
| 320 | C22×C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 321 | C22×C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 322 | SD16 | — | 44 | 8 | no | — |
| 323 | SD16 | — | 88 | 2 | no | — |
| 324 | D8 | — | 44 | 8 | no | — |
| 325 | D8 | — | 88 | 2 | no | — |
| 326 | M16 | — | 2 | 4 | no | — |
| 327 | C2×C8 | — | 2 | 2 | no | — |
| 328 | C2×C8 | — | 2 | 2 | no | — |
| 329 | C2×C8 | — | 44 | 1 | no | — |
| 330 | C4⋊C4 | — | 22 | 1 | no | — |
| 331 | C4⋊C4 | — | 22 | 1 | no | — |
| 332 | C22⋊C4 | — | 44 | 8 | no | — |
| 333 | C22⋊C4 | — | 44 | 1 | no | — |
| 334 | C22⋊C4 | — | 44 | 1 | no | — |
| 335 | C22⋊C4 | — | 44 | 1 | no | — |
| 336 | C22⋊C4 | — | 44 | 1 | no | — |
| 337 | C22⋊C4 | — | 44 | 1 | no | — |
| 338 | C22⋊C4 | — | 44 | 1 | no | — |
| 339 | C42 | — | 2 | 4 | no | — |
| 340 | C42 | C2×D44 | 1 | 1 | yes | characteristic |
| 341 | C42 | C2×D44 | 1 | 1 | yes | characteristic |
| 342 | C42 | D4×D11 | 1 | 1 | yes | characteristic |
| 343 | C42 | #4343 | 1 | 1 | yes | characteristic |
| 344 | C11 | #10088 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 345 | C23 | — | 44 | 2 | no | — |
| 346 | C23 | — | 44 | 2 | no | — |
| 347 | C23 | — | 44 | 2 | no | — |
| 348 | C23 | — | 44 | 2 | no | — |
| 349 | C23 | — | 44 | 4 | no | — |
| 350 | C23 | — | 44 | 1 | no | — |
| 351 | C23 | — | 44 | 1 | no | — |
| 352 | C23 | — | 44 | 2 | no | — |
| 353 | C23 | — | 44 | 4 | no | — |
| 354 | C23 | — | 44 | 2 | no | — |
| 355 | C23 | #66935 | 1 | 1 | yes | characteristic |
| 356 | Q8 | — | 44 | 2 | no | — |
| 357 | Q8 | — | 44 | 2 | no | — |
| 358 | Q8 | — | 88 | 1 | no | — |
| 359 | D4 | — | 44 | 2 | no | — |
| 360 | D4 | — | 44 | 4 | no | — |
| 361 | D4 | — | 44 | 2 | no | — |
| 362 | D4 | — | 44 | 2 | no | — |
| 363 | D4 | — | 88 | 2 | no | — |
| 364 | D4 | — | 88 | 1 | no | — |
| 365 | D4 | — | 88 | 1 | no | — |
| 366 | D4 | — | 88 | 2 | no | — |
| 367 | D4 | — | 88 | 2 | no | — |
| 368 | D4 | — | 88 | 2 | no | — |
| 369 | D4 | — | 88 | 16 | no | — |
| 370 | D4 | — | 88 | 2 | no | — |
| 371 | D4 | — | 88 | 2 | no | — |
| 372 | C2×C4 | — | 2 | 2 | no | — |
| 373 | C2×C4 | — | 2 | 2 | no | — |
| 374 | C2×C4 | — | 2 | 4 | no | — |
| 375 | C2×C4 | — | 4 | 1 | no | — |
| 376 | C2×C4 | — | 4 | 2 | no | — |
| 377 | C2×C4 | — | 4 | 2 | no | — |
| 378 | C2×C4 | — | 44 | 2 | no | — |
| 379 | C2×C4 | — | 44 | 1 | no | — |
| 380 | C2×C4 | — | 44 | 1 | no | — |
| 381 | C2×C4 | — | 88 | 2 | no | — |
| 382 | C2×C4 | #66927 | 1 | 1 | yes | characteristic |
| 383 | C2×C4 | #66935 | 1 | 1 | yes | characteristic |
| 384 | C2×C4 | #66935 | 1 | 1 | yes | characteristic |
| 385 | C2×C4 | #66948 | 1 | 1 | yes | characteristic |
| 386 | C2×C4 | #66948 | 1 | 1 | yes | characteristic |
| 387 | C2×C4 | #66948 | 1 | 1 | yes | characteristic |
| 388 | C8 | — | 2 | 4 | no | — |
| 389 | C8 | — | 4 | 2 | no | — |
| 390 | C8 | — | 88 | 1 | no | — |
| 391 | C22 | — | 2 | 1 | no | — |
| 392 | C22 | — | 2 | 1 | no | — |
| 393 | C22 | — | 88 | 4 | no | — |
| 394 | C22 | — | 88 | 4 | no | — |
| 395 | C22 | — | 88 | 4 | no | — |
| 396 | C22 | — | 88 | 1 | no | — |
| 397 | C22 | — | 88 | 2 | no | — |
| 398 | C22 | — | 88 | 1 | no | — |
| 399 | C22 | — | 88 | 1 | no | — |
| 400 | C22 | — | 88 | 2 | no | — |
| 401 | C22 | — | 88 | 1 | no | — |
| 402 | C22 | — | 88 | 2 | no | — |
| 403 | C22 | — | 88 | 1 | no | — |
| 404 | C22 | — | 88 | 1 | no | — |
| 405 | C22 | #10622284 | 1 | 1 | yes | characteristic |
| 406 | C22 | #10622435 | 1 | 2 | yes | — |
| 407 | C4 | — | 2 | 1 | no | — |
| 408 | C4 | — | 2 | 1 | no | — |
| 409 | C4 | — | 2 | 1 | no | — |
| 410 | C4 | — | 2 | 1 | no | — |
| 411 | C4 | — | 2 | 1 | no | — |
| 412 | C4 | — | 4 | 4 | no | — |
| 413 | C4 | — | 88 | 1 | no | — |
| 414 | C4 | — | 88 | 1 | no | — |
| 415 | C4 | #10622435 | 1 | 2 | yes | — |
| 416 | C2 | — | 2 | 2 | no | — |
| 417 | C2 | — | 176 | 1 | no | — |
| 418 | C2 | — | 176 | 2 | no | — |
| 419 | C2 | — | 176 | 1 | no | — |
| 420 | C2 | #13069634 | 1 | 1 | yes | characteristic |
| 421 | C2 | #13069634 | 1 | 1 | yes | characteristic |
| 422 | C2 | #13069672 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13079605 | C2 | semidirect |
| 2. #13079068 | C2 | semidirect |
| 3. #13074722 | C2 | semidirect |
| 4. #13067329 | C2 | semidirect |
| 5. #13067213 | C2 | semidirect |
| 6. #13067123 | C2 | semidirect |
| 7. C11×#1300 | C2 | semidirect |
| 62. #66927 | D4 | semidirect |
| 65. #66922 | D4 | semidirect |
| 66. C11×C4⋊C8 | D4 | semidirect |
| 69. C11×#97 | D4 | semidirect |
| 140. #1300 | D11 | semidirect |
| 271. C4⋊C8 | D44 | semidirect |
| 278. #97 | D44 | semidirect |
| 344. C11 | #10088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079605 | 2 |
| #13079068 | 2 |
| #13074722 | 2 |
| #13067329 | 2 |
| #13067213 | 2 |
| #13067123 | 2 |
| C11×#1300 | 2 |
| #10088 | 11 |