Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1044 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1044 conjugacy classes of subgroups — too many to draw. Only its 179 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 | #10596219 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#64118 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595997 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10592838 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10592819 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10592705 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C32×#344 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #69031 | — | 3 | 4 | no | maximal |
| 9 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 11 | C22×#634 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic |
| 14 | C32×#117 | C22 | 1 | 1 | yes | characteristic |
| 15 | #64135 | C22 | 1 | 1 | yes | characteristic |
| 16 | #64118 | — | 2 | 2 | no | — |
| 17 | #64118 | — | 2 | 1 | no | — |
| 18 | #64118 | — | 2 | 1 | no | — |
| 19 | #64118 | — | 2 | 2 | no | — |
| 20 | #64117 | — | 2 | 1 | no | — |
| 21 | #64117 | — | 2 | 1 | no | — |
| 22 | C2×#3746 | — | 2 | 1 | no | — |
| 23 | #64113 | — | 2 | 2 | no | — |
| 24 | C2×#3744 | — | 2 | 1 | no | — |
| 25 | #64106 | — | 2 | 2 | no | — |
| 26 | #64095 | — | 2 | 2 | no | — |
| 27 | #64084 | — | 2 | 1 | no | — |
| 28 | #64078 | — | 2 | 1 | no | — |
| 29 | #63652 | — | 2 | 2 | no | — |
| 30 | #63643 | — | 2 | 2 | no | — |
| 31 | #63633 | — | 2 | 2 | no | — |
| 32 | #5748 | — | 3 | 4 | no | — |
| 33 | C2×#909 | — | 3 | 4 | no | — |
| 34 | #5526 | — | 3 | 4 | no | — |
| 35 | #5139 | — | 3 | 4 | no | — |
| 36 | #5120 | — | 3 | 4 | no | — |
| 37 | #5006 | — | 3 | 4 | no | — |
| 38 | C3×#344 | D3 | 1 | 4 | yes | complemented |
| 39 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 40 | C2×#638 | — | 2 | 1 | no | — |
| 41 | C2×#638 | — | 2 | 1 | no | — |
| 42 | C22×C3⋊Dic3 | — | 2 | 1 | no | — |
| 43 | #3828 | — | 2 | 1 | no | — |
| 44 | #3828 | — | 2 | 1 | no | — |
| 45 | #3828 | — | 2 | 1 | no | — |
| 46 | #3828 | — | 2 | 1 | no | — |
| 47 | #3828 | — | 2 | 1 | no | — |
| 48 | #3828 | — | 2 | 1 | no | — |
| 49 | #3828 | — | 2 | 1 | no | — |
| 50 | #3828 | — | 2 | 1 | no | — |
| 51 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 52 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 53 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 54 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 55 | C2×#634 | — | 2 | 1 | no | — |
| 56 | C2×#634 | — | 2 | 1 | no | — |
| 57 | C2×#634 | — | 2 | 1 | no | — |
| 58 | C2×#634 | — | 2 | 1 | no | — |
| 59 | C2×#634 | — | 2 | 1 | no | — |
| 60 | C2×#634 | D4 | 1 | 1 | yes | characteristic |
| 61 | C2×#634 | D4 | 1 | 2 | yes | — |
| 62 | C2×#634 | D4 | 1 | 1 | yes | characteristic |
| 63 | C32×M16 | — | 2 | 1 | no | — |
| 64 | C32×M16 | — | 2 | 1 | no | — |
| 65 | C32×M16 | — | 2 | 1 | no | — |
| 66 | C32×M16 | D4 | 1 | 2 | yes | — |
| 67 | C2×C32×C8 | — | 2 | 1 | no | — |
| 68 | C2×C32×C8 | D4 | 1 | 2 | yes | — |
| 69 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 70 | C32×C22⋊C4 | D4 | 1 | 2 | yes | — |
| 71 | C32×C42 | — | 2 | 1 | no | — |
| 72 | #3757 | — | 2 | 1 | no | — |
| 73 | #3752 | — | 2 | 4 | no | — |
| 74 | C4⋊(C3⋊Dic3) | — | 2 | 4 | no | — |
| 75 | C4⋊(C3⋊Dic3) | — | 2 | 1 | no | — |
| 76 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 77 | #3746 | — | 2 | 2 | no | — |
| 78 | #3746 | — | 2 | 4 | no | — |
| 79 | #3745 | — | 2 | 2 | no | — |
| 80 | #3744 | — | 2 | 4 | no | — |
| 81 | #3744 | — | 2 | 2 | no | — |
| 82 | #3744 | — | 2 | 2 | no | — |
| 83 | #2009 | — | 9 | 1 | no | Sylow |
| 84 | C2×#235 | — | 3 | 4 | no | — |
| 85 | C2×#235 | — | 3 | 4 | no | — |
| 86 | C22×Dic6 | — | 3 | 4 | no | — |
| 87 | C2×C3×M16 | C2×D3 | 1 | 4 | yes | — |
| 88 | C2×C3×M16 | C2×D3 | 1 | 4 | yes | — |
| 89 | C3×#117 | C2×D3 | 1 | 4 | yes | — |
| 90 | #926 | — | 3 | 4 | no | — |
| 91 | #909 | — | 6 | 8 | no | — |
| 92 | #909 | — | 6 | 4 | no | — |
| 93 | #909 | — | 6 | 4 | no | — |
| 94 | #909 | — | 6 | 8 | no | — |
| 95 | #908 | — | 6 | 4 | no | — |
| 96 | #908 | — | 6 | 4 | no | — |
| 97 | C2×Dic12 | — | 6 | 4 | no | — |
| 98 | #904 | — | 6 | 8 | no | — |
| 99 | C2×#204 | — | 6 | 4 | no | — |
| 100 | #897 | — | 6 | 8 | no | — |
| 101 | #886 | — | 6 | 8 | no | — |
| 102 | #875 | — | 6 | 4 | no | — |
| 103 | #869 | — | 6 | 4 | no | — |
| 104 | #825 | — | 6 | 8 | no | — |
| 105 | #816 | — | 6 | 8 | no | — |
| 106 | #806 | — | 6 | 8 | no | — |
| 107 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 109 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 110 | C2×C32×C4 | — | 2 | 2 | no | — |
| 111 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 116 | C2×C32×C4 | #41 | 1 | 1 | yes | characteristic |
| 117 | #638 | — | 4 | 1 | no | — |
| 118 | #638 | — | 4 | 1 | no | — |
| 119 | #638 | — | 4 | 1 | no | — |
| 120 | #638 | — | 4 | 1 | no | — |
| 121 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 122 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 123 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 124 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 125 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 126 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 127 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 128 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 129 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 130 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 131 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 132 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 133 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 134 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 135 | #634 | — | 2 | 2 | no | — |
| 136 | #634 | — | 2 | 1 | no | — |
| 137 | #634 | — | 2 | 1 | no | — |
| 138 | #634 | — | 2 | 1 | no | — |
| 139 | #634 | — | 2 | 2 | no | — |
| 140 | #634 | — | 2 | 1 | no | — |
| 141 | #634 | — | 4 | 1 | no | — |
| 142 | #634 | — | 4 | 1 | no | — |
| 143 | C32×C8 | — | 2 | 2 | no | — |
| 144 | C32×C8 | — | 2 | 2 | no | — |
| 145 | #575 | — | 9 | 1 | no | — |
| 146 | C2×#137 | — | 9 | 1 | no | — |
| 147 | #536 | — | 9 | 1 | no | — |
| 148 | #421 | — | 9 | 1 | no | — |
| 149 | #419 | — | 9 | 1 | no | — |
| 150 | #410 | — | 9 | 1 | no | — |
| 151 | #344 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 152 | C22×C3×C4 | C22×D3 | 1 | 4 | yes | — |
| 153 | C2×#67 | — | 6 | 4 | no | — |
| 154 | C2×#67 | — | 6 | 4 | no | — |
| 155 | C22×Dic3 | — | 6 | 4 | no | — |
| 156 | #235 | — | 6 | 4 | no | — |
| 157 | #235 | — | 6 | 4 | no | — |
| 158 | #235 | — | 6 | 4 | no | — |
| 159 | #235 | — | 6 | 4 | no | — |
| 160 | #235 | — | 6 | 4 | no | — |
| 161 | #235 | — | 6 | 4 | no | — |
| 162 | #235 | — | 6 | 4 | no | — |
| 163 | #235 | — | 6 | 4 | no | — |
| 164 | C2×D12 | — | 3 | 4 | no | — |
| 165 | C2×D12 | — | 3 | 4 | no | — |
| 166 | C2×C4×D3 | — | 6 | 4 | no | — |
| 167 | C2×C4×D3 | — | 6 | 4 | no | — |
| 168 | C2×Dic6 | — | 3 | 4 | no | — |
| 169 | C2×Dic6 | — | 3 | 8 | no | — |
| 170 | C2×Dic6 | — | 3 | 4 | no | — |
| 171 | C2×Dic6 | — | 6 | 4 | no | — |
| 172 | C2×Dic6 | — | 6 | 4 | no | — |
| 173 | C2×Dic6 | — | 6 | 4 | no | — |
| 174 | C2×Dic6 | — | 6 | 4 | no | — |
| 175 | C2×Dic6 | — | 6 | 4 | no | — |
| 176 | C3×M16 | — | 2 | 4 | no | — |
| 177 | C3×M16 | — | 2 | 4 | no | — |
| 178 | C3×M16 | — | 2 | 4 | no | — |
| 179 | C3×M16 | D12 | 1 | 8 | yes | — |
| 180 | C2×C3×C8 | — | 2 | 4 | no | — |
| 181 | C2×C3×C8 | D12 | 1 | 8 | yes | — |
| 182 | C3×C4⋊C4 | — | 2 | 4 | no | — |
| 183 | C3×C22⋊C4 | D12 | 1 | 8 | yes | — |
| 184 | C3×C42 | — | 2 | 4 | no | — |
| 185 | #217 | — | 6 | 4 | no | — |
| 186 | (C2×D3)⋊C4 | — | 6 | 16 | no | — |
| 187 | C4⋊Dic3 | — | 6 | 16 | no | — |
| 188 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 189 | C4×Dic3 | — | 6 | 4 | no | — |
| 190 | Dic12 | — | 6 | 8 | no | — |
| 191 | Dic12 | — | 6 | 16 | no | — |
| 192 | D24 | — | 6 | 8 | no | — |
| 193 | #204 | — | 6 | 16 | no | — |
| 194 | #204 | — | 6 | 8 | no | — |
| 195 | #204 | — | 6 | 8 | no | — |
| 196 | C22×C32 | — | 4 | 1 | no | — |
| 197 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 198 | C22×C32 | #121 | 1 | 1 | yes | characteristic |
| 199 | C22×C32 | #127 | 1 | 1 | yes | characteristic |
| 200 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 201 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 202 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 203 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 204 | C32×C4 | — | 4 | 2 | no | — |
| 205 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 206 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 207 | C32×C4 | #121 | 1 | 1 | yes | characteristic |
| 208 | C32×C4 | #121 | 1 | 1 | yes | characteristic |
| 209 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 210 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 211 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 212 | C3⋊Dic3 | — | 8 | 1 | no | — |
| 213 | C2×#41 | — | 9 | 1 | no | — |
| 214 | C2×#41 | — | 9 | 1 | no | — |
| 215 | C22×Q8 | — | 9 | 1 | no | — |
| 216 | #137 | — | 18 | 2 | no | — |
| 217 | #137 | — | 18 | 1 | no | — |
| 218 | #137 | — | 18 | 1 | no | — |
| 219 | #137 | — | 18 | 2 | no | — |
| 220 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 221 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 222 | #135 | — | 18 | 2 | no | — |
| 223 | C2×Q16 | — | 18 | 1 | no | — |
| 224 | C2×SD16 | — | 18 | 1 | no | — |
| 225 | C2×M16 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 226 | C2×M16 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 227 | C4⋊Q8 | — | 18 | 1 | no | — |
| 228 | #124 | — | 18 | 1 | no | — |
| 229 | #123 | — | 18 | 2 | no | — |
| 230 | C22⋊Q8 | — | 18 | 2 | no | — |
| 231 | #117 | — | 9 | 1 | no | — |
| 232 | #117 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 233 | #104 | — | 18 | 2 | no | — |
| 234 | #103 | — | 18 | 2 | no | — |
| 235 | #99 | — | 18 | 2 | no | — |
| 236 | C23×C3 | C2×D12 | 1 | 4 | yes | — |
| 237 | C22×D3 | — | 6 | 4 | no | — |
| 238 | C22×D3 | — | 6 | 4 | no | — |
| 239 | C2×C3×C4 | — | 2 | 8 | no | — |
| 240 | C2×C3×C4 | C2×D12 | 1 | 4 | yes | — |
| 241 | C2×C3×C4 | C2×D12 | 1 | 4 | yes | — |
| 242 | C2×C3×C4 | D3×D4 | 1 | 4 | yes | — |
| 243 | C2×C3×C4 | D3×D4 | 1 | 4 | yes | — |
| 244 | C2×C3×C4 | D3×D4 | 1 | 4 | yes | — |
| 245 | C2×C3×C4 | #239 | 1 | 4 | yes | — |
| 246 | #67 | — | 12 | 4 | no | — |
| 247 | #67 | — | 12 | 4 | no | — |
| 248 | #67 | — | 12 | 4 | no | — |
| 249 | #67 | — | 12 | 4 | no | — |
| 250 | C2×Dic3 | — | 6 | 4 | no | — |
| 251 | C2×Dic3 | — | 6 | 8 | no | — |
| 252 | C2×Dic3 | — | 6 | 4 | no | — |
| 253 | C2×Dic3 | — | 12 | 4 | no | — |
| 254 | C2×Dic3 | — | 12 | 4 | no | — |
| 255 | C2×Dic3 | — | 12 | 4 | no | — |
| 256 | D12 | — | 6 | 4 | no | — |
| 257 | D12 | — | 6 | 4 | no | — |
| 258 | D12 | — | 6 | 4 | no | — |
| 259 | D12 | — | 6 | 4 | no | — |
| 260 | C4×D3 | — | 12 | 4 | no | — |
| 261 | C4×D3 | — | 12 | 4 | no | — |
| 262 | C4×D3 | — | 12 | 4 | no | — |
| 263 | C4×D3 | — | 12 | 4 | no | — |
| 264 | Dic6 | — | 6 | 8 | no | — |
| 265 | Dic6 | — | 6 | 4 | no | — |
| 266 | Dic6 | — | 6 | 4 | no | — |
| 267 | Dic6 | — | 6 | 4 | no | — |
| 268 | Dic6 | — | 6 | 8 | no | — |
| 269 | Dic6 | — | 6 | 4 | no | — |
| 270 | Dic6 | — | 12 | 4 | no | — |
| 271 | Dic6 | — | 12 | 4 | no | — |
| 272 | C3×C8 | — | 2 | 8 | no | — |
| 273 | C3×C8 | — | 2 | 8 | no | — |
| 274 | C2×C32 | — | 2 | 1 | no | — |
| 275 | C2×C32 | — | 2 | 1 | no | — |
| 276 | C2×C32 | — | 2 | 1 | no | — |
| 277 | C2×C32 | #392 | 1 | 1 | yes | characteristic |
| 278 | C3⋊D3 | — | 8 | 1 | no | — |
| 279 | C3⋊D3 | — | 8 | 1 | no | — |
| 280 | #41 | — | 18 | 1 | no | — |
| 281 | #41 | — | 18 | 1 | no | — |
| 282 | #41 | — | 18 | 1 | no | — |
| 283 | #41 | — | 18 | 1 | no | — |
| 284 | #41 | — | 18 | 1 | no | — |
| 285 | #41 | — | 18 | 1 | no | — |
| 286 | #41 | — | 18 | 1 | no | — |
| 287 | #41 | — | 18 | 1 | no | — |
| 288 | C2×Q8 | — | 9 | 2 | no | — |
| 289 | C2×Q8 | — | 9 | 1 | no | — |
| 290 | C2×Q8 | — | 9 | 1 | no | — |
| 291 | C2×Q8 | — | 18 | 1 | no | — |
| 292 | C2×Q8 | — | 18 | 1 | no | — |
| 293 | C2×Q8 | — | 18 | 1 | no | — |
| 294 | C2×Q8 | — | 18 | 1 | no | — |
| 295 | C2×Q8 | — | 18 | 1 | no | — |
| 296 | C2×D4 | — | 9 | 1 | no | — |
| 297 | C2×D4 | — | 9 | 1 | no | — |
| 298 | C2×D4 | — | 18 | 1 | no | — |
| 299 | C2×D4 | — | 18 | 1 | no | — |
| 300 | C22×C4 | — | 18 | 1 | no | — |
| 301 | C22×C4 | — | 18 | 1 | no | — |
| 302 | C22×C4 | — | 18 | 1 | no | — |
| 303 | C22×C4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 304 | Q16 | — | 18 | 4 | no | — |
| 305 | Q16 | — | 18 | 2 | no | — |
| 306 | SD16 | — | 18 | 4 | no | — |
| 307 | SD16 | — | 18 | 2 | no | — |
| 308 | SD16 | — | 18 | 2 | no | — |
| 309 | D8 | — | 18 | 2 | no | — |
| 310 | M16 | — | 2 | 1 | no | — |
| 311 | M16 | — | 2 | 1 | no | — |
| 312 | M16 | — | 2 | 1 | no | — |
| 313 | M16 | C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 314 | C2×C8 | — | 2 | 1 | no | — |
| 315 | C2×C8 | C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 316 | C4⋊C4 | — | 2 | 1 | no | — |
| 317 | C4⋊C4 | — | 18 | 4 | no | — |
| 318 | C4⋊C4 | — | 18 | 1 | no | — |
| 319 | C22⋊C4 | — | 18 | 4 | no | — |
| 320 | C22⋊C4 | — | 18 | 1 | no | — |
| 321 | C22⋊C4 | C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 322 | C42 | — | 2 | 1 | no | — |
| 323 | C42 | — | 18 | 1 | no | — |
| 324 | C22×C3 | — | 4 | 4 | no | — |
| 325 | C22×C3 | #874 | 1 | 4 | yes | — |
| 326 | C22×C3 | #882 | 1 | 4 | yes | — |
| 327 | C22×C3 | #895 | 1 | 4 | yes | — |
| 328 | C2×D3 | — | 12 | 8 | no | — |
| 329 | C2×D3 | — | 12 | 4 | no | — |
| 330 | C2×D3 | — | 12 | 4 | no | — |
| 331 | C2×D3 | — | 24 | 4 | no | — |
| 332 | C3×C4 | — | 4 | 8 | no | — |
| 333 | C3×C4 | #882 | 1 | 4 | yes | — |
| 334 | C3×C4 | #882 | 1 | 4 | yes | — |
| 335 | C3×C4 | #895 | 1 | 4 | yes | — |
| 336 | C3×C4 | #895 | 1 | 4 | yes | — |
| 337 | Dic3 | — | 12 | 8 | no | — |
| 338 | Dic3 | — | 12 | 4 | no | — |
| 339 | Dic3 | — | 12 | 4 | no | — |
| 340 | Dic3 | — | 24 | 4 | no | — |
| 341 | C32 | #2009 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 342 | C23 | — | 18 | 1 | no | — |
| 343 | C23 | — | 18 | 1 | no | — |
| 344 | C23 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 345 | Q8 | — | 18 | 2 | no | — |
| 346 | Q8 | — | 18 | 1 | no | — |
| 347 | Q8 | — | 18 | 1 | no | — |
| 348 | Q8 | — | 18 | 1 | no | — |
| 349 | Q8 | — | 18 | 2 | no | — |
| 350 | Q8 | — | 18 | 1 | no | — |
| 351 | Q8 | — | 36 | 1 | no | — |
| 352 | Q8 | — | 36 | 1 | no | — |
| 353 | D4 | — | 18 | 1 | no | — |
| 354 | D4 | — | 18 | 1 | no | — |
| 355 | D4 | — | 18 | 1 | no | — |
| 356 | D4 | — | 18 | 1 | no | — |
| 357 | D4 | — | 36 | 1 | no | — |
| 358 | D4 | — | 36 | 1 | no | — |
| 359 | D4 | — | 36 | 1 | no | — |
| 360 | D4 | — | 36 | 1 | no | — |
| 361 | C2×C4 | — | 2 | 2 | no | — |
| 362 | C2×C4 | — | 18 | 2 | no | — |
| 363 | C2×C4 | — | 18 | 1 | no | — |
| 364 | C2×C4 | — | 18 | 1 | no | — |
| 365 | C2×C4 | — | 36 | 1 | no | — |
| 366 | C2×C4 | — | 36 | 1 | no | — |
| 367 | C2×C4 | — | 36 | 1 | no | — |
| 368 | C2×C4 | — | 36 | 1 | no | — |
| 369 | C2×C4 | — | 36 | 1 | no | — |
| 370 | C2×C4 | — | 36 | 1 | no | — |
| 371 | C2×C4 | — | 36 | 1 | no | — |
| 372 | C2×C4 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 373 | C2×C4 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 374 | C2×C4 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 375 | C2×C4 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 376 | C2×C4 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 377 | C2×C4 | #3832 | 1 | 1 | yes | characteristic |
| 378 | C8 | — | 2 | 2 | no | — |
| 379 | C8 | — | 2 | 2 | no | — |
| 380 | C2×C3 | — | 2 | 4 | no | — |
| 381 | C2×C3 | — | 2 | 4 | no | — |
| 382 | C2×C3 | — | 2 | 4 | no | — |
| 383 | C2×C3 | #4671 | 1 | 4 | yes | — |
| 384 | D3 | — | 24 | 4 | no | — |
| 385 | D3 | — | 24 | 4 | no | — |
| 386 | C22 | — | 4 | 1 | no | — |
| 387 | C22 | — | 36 | 2 | no | — |
| 388 | C22 | — | 36 | 1 | no | — |
| 389 | C22 | — | 36 | 1 | no | — |
| 390 | C22 | — | 72 | 1 | no | — |
| 391 | C22 | #64083 | 1 | 1 | yes | characteristic |
| 392 | C22 | #64091 | 1 | 1 | yes | characteristic |
| 393 | C22 | #64104 | 1 | 1 | yes | characteristic |
| 394 | C4 | — | 4 | 2 | no | — |
| 395 | C4 | — | 36 | 1 | no | — |
| 396 | C4 | — | 36 | 1 | no | — |
| 397 | C4 | — | 36 | 2 | no | — |
| 398 | C4 | — | 72 | 1 | no | — |
| 399 | C4 | #64091 | 1 | 1 | yes | characteristic |
| 400 | C4 | #64091 | 1 | 1 | yes | characteristic |
| 401 | C4 | #64104 | 1 | 1 | yes | characteristic |
| 402 | C4 | #64104 | 1 | 1 | yes | characteristic |
| 403 | C3 | #69031 | 1 | 4 | yes | complemented |
| 404 | C2 | — | 2 | 1 | no | — |
| 405 | C2 | — | 2 | 1 | no | — |
| 406 | C2 | — | 2 | 1 | no | — |
| 407 | C2 | — | 72 | 1 | no | — |
| 408 | C2 | — | 72 | 1 | no | — |
| 409 | C2 | #10592370 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#64118 | C2 | semidirect |
| 3. #10595997 | C2 | semidirect |
| 4. #10592838 | C2 | semidirect |
| 5. #10592819 | C2 | semidirect |
| 6. #10592705 | C2 | semidirect |
| 7. C32×#344 | C2 | semidirect |
| 38. C3×#344 | D3 | semidirect |
| 151. #344 | C3⋊D3 | semidirect |
| 341. C32 | #2009 | semidirect |
| 403. C3 | #69031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596219 | 2 |
| C2×#64118 | 2 |
| #10595997 | 2 |
| #10592838 | 2 |
| #10592819 | 2 |
| #10592705 | 2 |
| C32×#344 | 2 |
| #69031 | 3 |