Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
960 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 960 conjugacy classes of subgroups — too many to draw. Only its 117 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 | #10596088 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10592735 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10592430 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10592370 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C32×#327 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10589334 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10589318 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #68285 | — | 3 | 4 | no | maximal |
| 9 | C22×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 10 | C22×C4⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic |
| 11 | C32×#121 | C22 | 1 | 1 | yes | characteristic |
| 12 | #64148 | — | 2 | 1 | no | — |
| 13 | #64146 | — | 2 | 1 | no | — |
| 14 | D4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 15 | C2×#3753 | — | 2 | 1 | no | — |
| 16 | C2×#3752 | — | 2 | 1 | no | — |
| 17 | C2×#3752 | C22 | 1 | 1 | yes | characteristic |
| 18 | #64133 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#3744 | — | 2 | 1 | no | — |
| 20 | #64107 | — | 2 | 1 | no | — |
| 21 | #64095 | — | 2 | 1 | no | — |
| 22 | #64094 | — | 2 | 1 | no | — |
| 23 | C32×C22⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 24 | C32×#95 | C22 | 1 | 1 | yes | characteristic |
| 25 | #63657 | C22 | 1 | 1 | yes | characteristic |
| 26 | #63648 | — | 2 | 1 | no | — |
| 27 | #63636 | — | 2 | 1 | no | — |
| 28 | #5617 | — | 3 | 4 | no | — |
| 29 | #5036 | — | 3 | 4 | no | — |
| 30 | #4731 | — | 3 | 4 | no | — |
| 31 | #4671 | — | 3 | 4 | no | — |
| 32 | C3×#327 | D3 | 1 | 4 | yes | complemented |
| 33 | #4468 | — | 3 | 4 | no | — |
| 34 | #4452 | — | 3 | 4 | no | — |
| 35 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 36 | C23×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 37 | C2×C32×D4 | — | 2 | 1 | no | — |
| 38 | C2×C32×D4 | D4 | 1 | 1 | yes | characteristic, complemented |
| 39 | C22×C32×C4 | — | 2 | 1 | no | — |
| 40 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 41 | C2×#638 | — | 2 | 1 | no | — |
| 42 | C2×#638 | — | 2 | 1 | no | — |
| 43 | C22×C3⋊Dic3 | — | 2 | 1 | no | — |
| 44 | C22×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 46 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 47 | C2×C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 48 | C2×C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 49 | C2×C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 50 | C2×C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 51 | C2×#634 | D4 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×C32×C8 | — | 2 | 1 | no | — |
| 53 | C32×C4⋊C4 | D4 | 1 | 1 | yes | characteristic, complemented |
| 54 | C32×C22⋊C4 | — | 2 | 1 | no | — |
| 55 | #3757 | — | 2 | 1 | no | — |
| 56 | #3757 | — | 2 | 1 | no | — |
| 57 | #3753 | — | 4 | 2 | no | — |
| 58 | #3752 | — | 2 | 1 | no | — |
| 59 | #3752 | — | 2 | 1 | no | — |
| 60 | #3752 | — | 2 | 1 | no | — |
| 61 | #3752 | — | 2 | 1 | no | — |
| 62 | #3752 | — | 4 | 2 | no | — |
| 63 | C4⋊(C3⋊Dic3) | — | 2 | 1 | no | — |
| 64 | C4⋊(C3⋊Dic3) | D4 | 1 | 1 | yes | characteristic, complemented |
| 65 | #3750 | — | 2 | 1 | no | — |
| 66 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 67 | C2×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 68 | #3744 | — | 4 | 2 | no | — |
| 69 | #1600 | — | 9 | 1 | no | Sylow |
| 70 | C22×D12 | — | 3 | 4 | no | — |
| 71 | C22×D12 | — | 6 | 4 | no | — |
| 72 | C3×#121 | C2×D3 | 1 | 4 | yes | — |
| 73 | #939 | — | 6 | 4 | no | — |
| 74 | #937 | — | 6 | 4 | no | — |
| 75 | D4×Dic3 | — | 6 | 4 | no | — |
| 76 | C2×#213 | — | 6 | 4 | no | — |
| 77 | C2×(C2×D3)⋊C4 | — | 3 | 4 | no | — |
| 78 | C2×(C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 79 | #924 | — | 3 | 4 | no | — |
| 80 | C2×#204 | — | 6 | 4 | no | — |
| 81 | #898 | — | 6 | 4 | no | — |
| 82 | #886 | — | 6 | 4 | no | — |
| 83 | #885 | — | 6 | 4 | no | — |
| 84 | C3×C22⋊C8 | C2×D3 | 1 | 4 | yes | — |
| 85 | C3×#95 | C2×D3 | 1 | 4 | yes | — |
| 86 | #830 | — | 3 | 4 | no | — |
| 87 | #821 | — | 6 | 4 | no | — |
| 88 | #809 | — | 6 | 4 | no | — |
| 89 | C23×C32 | — | 2 | 1 | no | — |
| 90 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 91 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 92 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 93 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 94 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 95 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 96 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 97 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 98 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 99 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 100 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 101 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 102 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 103 | C32×D4 | — | 4 | 1 | no | — |
| 104 | C32×D4 | — | 4 | 1 | no | — |
| 105 | C32×D4 | — | 4 | 1 | no | — |
| 106 | C2×C32×C4 | — | 2 | 2 | no | — |
| 107 | C2×C32×C4 | — | 2 | 1 | no | — |
| 108 | C2×C32×C4 | — | 4 | 1 | no | — |
| 109 | C2×C32×C4 | — | 4 | 1 | no | — |
| 110 | C2×C32×C4 | — | 4 | 1 | no | — |
| 111 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | #638 | — | 8 | 1 | no | — |
| 114 | #638 | — | 8 | 1 | no | — |
| 115 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 116 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 117 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 118 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 119 | C2×C3⋊Dic3 | — | 8 | 1 | no | — |
| 120 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 121 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 122 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 123 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 124 | C4⋊(C3⋊D3) | — | 4 | 8 | no | — |
| 125 | #634 | — | 4 | 1 | no | — |
| 126 | C32×C8 | — | 4 | 1 | no | — |
| 127 | C3⋊(C3⋊C8) | — | 4 | 1 | no | — |
| 128 | #538 | — | 9 | 1 | no | — |
| 129 | #450 | — | 9 | 1 | no | — |
| 130 | #447 | — | 9 | 1 | no | — |
| 131 | #392 | — | 9 | 1 | no | — |
| 132 | #328 | — | 9 | 1 | no | — |
| 133 | #327 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 134 | #323 | — | 9 | 1 | no | — |
| 135 | C23×D3 | — | 3 | 4 | no | — |
| 136 | C23×D3 | — | 6 | 4 | no | — |
| 137 | C2×C3×D4 | — | 2 | 4 | no | — |
| 138 | C2×C3×D4 | D12 | 1 | 4 | yes | complemented |
| 139 | C22×C3×C4 | — | 2 | 4 | no | — |
| 140 | C22×C3×C4 | C22×D3 | 1 | 4 | yes | — |
| 141 | C2×#67 | — | 6 | 4 | no | — |
| 142 | C2×#67 | — | 6 | 4 | no | — |
| 143 | C22×Dic3 | — | 3 | 4 | no | — |
| 144 | C22×Dic3 | — | 6 | 4 | no | — |
| 145 | C2×D12 | — | 6 | 4 | no | — |
| 146 | C2×D12 | — | 6 | 4 | no | — |
| 147 | C2×D12 | — | 12 | 8 | no | — |
| 148 | C2×D12 | — | 12 | 8 | no | — |
| 149 | C2×D12 | — | 12 | 8 | no | — |
| 150 | C2×D12 | — | 12 | 8 | no | — |
| 151 | C2×Dic6 | — | 3 | 4 | no | — |
| 152 | C2×C3×C8 | — | 2 | 4 | no | — |
| 153 | C3×C4⋊C4 | D12 | 1 | 4 | yes | complemented |
| 154 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 155 | #217 | — | 6 | 4 | no | — |
| 156 | #217 | — | 6 | 4 | no | — |
| 157 | #213 | — | 12 | 8 | no | — |
| 158 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 159 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 160 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 161 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 162 | (C2×D3)⋊C4 | — | 12 | 8 | no | — |
| 163 | C4⋊Dic3 | — | 3 | 4 | no | — |
| 164 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 165 | Dic3⋊C4 | — | 6 | 4 | no | — |
| 166 | C4×Dic3 | — | 6 | 4 | no | — |
| 167 | C2×C3⋊C8 | — | 6 | 4 | no | — |
| 168 | #204 | — | 12 | 8 | no | — |
| 169 | C22×C32 | — | 2 | 1 | no | — |
| 170 | C22×C32 | — | 2 | 1 | no | — |
| 171 | C22×C32 | — | 4 | 1 | no | — |
| 172 | C22×C32 | — | 4 | 1 | no | — |
| 173 | C22×C32 | — | 4 | 1 | no | — |
| 174 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 175 | C22×C32 | #135 | 1 | 1 | yes | characteristic |
| 176 | C22×C32 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 177 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 178 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 179 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 180 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 181 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 182 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 183 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 184 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 185 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 186 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 187 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 188 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 189 | C32×C4 | — | 2 | 1 | no | — |
| 190 | C32×C4 | — | 2 | 1 | no | — |
| 191 | C32×C4 | — | 4 | 2 | no | — |
| 192 | C32×C4 | — | 4 | 1 | no | — |
| 193 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 194 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 195 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 196 | C22×D4 | — | 9 | 1 | no | — |
| 197 | C22×D4 | — | 18 | 1 | no | — |
| 198 | C2×SD16 | — | 18 | 1 | no | — |
| 199 | C2×D8 | — | 18 | 1 | no | — |
| 200 | #126 | — | 18 | 1 | no | — |
| 201 | #124 | — | 18 | 1 | no | — |
| 202 | #123 | — | 18 | 1 | no | — |
| 203 | C22⋊Q8 | — | 9 | 1 | no | — |
| 204 | #121 | — | 18 | 1 | no | — |
| 205 | #121 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 206 | #120 | — | 18 | 1 | no | — |
| 207 | C4×D4 | — | 18 | 1 | no | — |
| 208 | C2×C22⋊C4 | — | 9 | 1 | no | — |
| 209 | C2×C22⋊C4 | — | 18 | 1 | no | — |
| 210 | #102 | — | 18 | 1 | no | — |
| 211 | #102 | — | 18 | 1 | no | — |
| 212 | C22⋊C8 | — | 9 | 1 | no | — |
| 213 | C22⋊C8 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 214 | #95 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 215 | C23×C3 | — | 2 | 4 | no | — |
| 216 | C23×C3 | D3×D4 | 1 | 4 | yes | — |
| 217 | C22×D3 | — | 6 | 8 | no | — |
| 218 | C22×D3 | — | 6 | 4 | no | — |
| 219 | C22×D3 | — | 6 | 4 | no | — |
| 220 | C22×D3 | — | 6 | 4 | no | — |
| 221 | C22×D3 | — | 12 | 4 | no | — |
| 222 | C22×D3 | — | 12 | 4 | no | — |
| 223 | C22×D3 | — | 12 | 4 | no | — |
| 224 | C22×D3 | — | 12 | 4 | no | — |
| 225 | C22×D3 | — | 12 | 4 | no | — |
| 226 | C22×D3 | — | 12 | 4 | no | — |
| 227 | C22×D3 | — | 12 | 4 | no | — |
| 228 | C22×D3 | — | 12 | 4 | no | — |
| 229 | C3×D4 | — | 4 | 4 | no | — |
| 230 | C3×D4 | — | 4 | 4 | no | — |
| 231 | C3×D4 | — | 4 | 4 | no | — |
| 232 | C2×C3×C4 | — | 2 | 8 | no | — |
| 233 | C2×C3×C4 | — | 2 | 4 | no | — |
| 234 | C2×C3×C4 | — | 4 | 4 | no | — |
| 235 | C2×C3×C4 | — | 4 | 4 | no | — |
| 236 | C2×C3×C4 | — | 4 | 4 | no | — |
| 237 | C2×C3×C4 | C2×D12 | 1 | 4 | yes | — |
| 238 | C2×C3×C4 | D3×D4 | 1 | 4 | yes | — |
| 239 | #67 | — | 24 | 4 | no | — |
| 240 | #67 | — | 24 | 4 | no | — |
| 241 | C2×Dic3 | — | 6 | 4 | no | — |
| 242 | C2×Dic3 | — | 6 | 4 | no | — |
| 243 | C2×Dic3 | — | 6 | 4 | no | — |
| 244 | C2×Dic3 | — | 12 | 4 | no | — |
| 245 | C2×Dic3 | — | 24 | 4 | no | — |
| 246 | D12 | — | 6 | 8 | no | — |
| 247 | D12 | — | 6 | 8 | no | — |
| 248 | D12 | — | 12 | 4 | no | — |
| 249 | D12 | — | 12 | 4 | no | — |
| 250 | D12 | — | 12 | 32 | no | — |
| 251 | Dic6 | — | 12 | 4 | no | — |
| 252 | C3×C8 | — | 4 | 4 | no | — |
| 253 | C3⋊C8 | — | 12 | 4 | no | — |
| 254 | C2×C32 | — | 2 | 1 | no | — |
| 255 | C2×C32 | — | 2 | 1 | no | — |
| 256 | C2×C32 | — | 8 | 1 | no | — |
| 257 | C2×C32 | #449 | 1 | 1 | yes | characteristic |
| 258 | C2×C32 | #453 | 1 | 1 | yes | characteristic |
| 259 | C2×C32 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 260 | C3⋊D3 | — | 8 | 1 | no | — |
| 261 | C3⋊D3 | — | 8 | 2 | no | — |
| 262 | C24 | — | 9 | 1 | no | — |
| 263 | C24 | — | 18 | 1 | no | — |
| 264 | C2×Q8 | — | 9 | 1 | no | — |
| 265 | C2×D4 | — | 2 | 1 | no | — |
| 266 | C2×D4 | — | 18 | 1 | no | — |
| 267 | C2×D4 | — | 18 | 1 | no | — |
| 268 | C2×D4 | — | 18 | 1 | no | — |
| 269 | C2×D4 | — | 18 | 1 | no | — |
| 270 | C2×D4 | — | 36 | 2 | no | — |
| 271 | C2×D4 | — | 36 | 2 | no | — |
| 272 | C2×D4 | — | 36 | 2 | no | — |
| 273 | C2×D4 | — | 36 | 2 | no | — |
| 274 | C2×D4 | C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic, complemented |
| 275 | C22×C4 | — | 2 | 1 | no | — |
| 276 | C22×C4 | — | 9 | 1 | no | — |
| 277 | C22×C4 | — | 18 | 1 | no | — |
| 278 | C22×C4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 279 | SD16 | — | 36 | 2 | no | — |
| 280 | D8 | — | 36 | 2 | no | — |
| 281 | C2×C8 | — | 2 | 1 | no | — |
| 282 | C2×C8 | — | 18 | 1 | no | — |
| 283 | C4⋊C4 | — | 9 | 1 | no | — |
| 284 | C4⋊C4 | — | 18 | 1 | no | — |
| 285 | C4⋊C4 | — | 18 | 1 | no | — |
| 286 | C4⋊C4 | C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic, complemented |
| 287 | C22⋊C4 | — | 2 | 1 | no | — |
| 288 | C22⋊C4 | — | 18 | 1 | no | — |
| 289 | C22⋊C4 | — | 18 | 1 | no | — |
| 290 | C22⋊C4 | — | 18 | 1 | no | — |
| 291 | C22⋊C4 | — | 18 | 1 | no | — |
| 292 | C22⋊C4 | — | 18 | 1 | no | — |
| 293 | C22⋊C4 | — | 18 | 1 | no | — |
| 294 | C22⋊C4 | — | 36 | 2 | no | — |
| 295 | C42 | — | 18 | 1 | no | — |
| 296 | C22×C3 | — | 2 | 4 | no | — |
| 297 | C22×C3 | — | 2 | 4 | no | — |
| 298 | C22×C3 | — | 4 | 4 | no | — |
| 299 | C22×C3 | — | 4 | 4 | no | — |
| 300 | C22×C3 | — | 4 | 4 | no | — |
| 301 | C22×C3 | #882 | 1 | 4 | yes | — |
| 302 | C22×C3 | #911 | 1 | 4 | yes | — |
| 303 | C22×C3 | #916 | 1 | 4 | yes | — |
| 304 | C2×D3 | — | 12 | 8 | no | — |
| 305 | C2×D3 | — | 12 | 8 | no | — |
| 306 | C2×D3 | — | 12 | 8 | no | — |
| 307 | C2×D3 | — | 12 | 8 | no | — |
| 308 | C2×D3 | — | 12 | 4 | no | — |
| 309 | C2×D3 | — | 12 | 4 | no | — |
| 310 | C2×D3 | — | 12 | 4 | no | — |
| 311 | C2×D3 | — | 24 | 4 | no | — |
| 312 | C2×D3 | — | 24 | 4 | no | — |
| 313 | C2×D3 | — | 24 | 4 | no | — |
| 314 | C2×D3 | — | 24 | 4 | no | — |
| 315 | C2×D3 | — | 24 | 4 | no | — |
| 316 | C3×C4 | — | 2 | 4 | no | — |
| 317 | C3×C4 | — | 2 | 4 | no | — |
| 318 | C3×C4 | — | 4 | 8 | no | — |
| 319 | C3×C4 | — | 4 | 4 | no | — |
| 320 | Dic3 | — | 12 | 4 | no | — |
| 321 | Dic3 | — | 12 | 4 | no | — |
| 322 | Dic3 | — | 12 | 4 | no | — |
| 323 | C32 | #1600 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 324 | C23 | — | 2 | 1 | no | — |
| 325 | C23 | — | 18 | 2 | no | — |
| 326 | C23 | — | 18 | 1 | no | — |
| 327 | C23 | — | 18 | 1 | no | — |
| 328 | C23 | — | 18 | 1 | no | — |
| 329 | C23 | — | 36 | 1 | no | — |
| 330 | C23 | — | 36 | 1 | no | — |
| 331 | C23 | — | 36 | 1 | no | — |
| 332 | C23 | — | 36 | 1 | no | — |
| 333 | C23 | — | 36 | 1 | no | — |
| 334 | C23 | — | 36 | 1 | no | — |
| 335 | C23 | — | 36 | 1 | no | — |
| 336 | C23 | — | 36 | 1 | no | — |
| 337 | C23 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 338 | Q8 | — | 36 | 1 | no | — |
| 339 | D4 | — | 4 | 1 | no | — |
| 340 | D4 | — | 4 | 1 | no | — |
| 341 | D4 | — | 4 | 1 | no | — |
| 342 | D4 | — | 18 | 2 | no | — |
| 343 | D4 | — | 18 | 2 | no | — |
| 344 | D4 | — | 36 | 1 | no | — |
| 345 | D4 | — | 36 | 1 | no | — |
| 346 | D4 | — | 36 | 8 | no | — |
| 347 | D4 | — | 72 | 1 | no | — |
| 348 | D4 | — | 72 | 1 | no | — |
| 349 | C2×C4 | — | 2 | 2 | no | — |
| 350 | C2×C4 | — | 2 | 1 | no | — |
| 351 | C2×C4 | — | 4 | 1 | no | — |
| 352 | C2×C4 | — | 4 | 1 | no | — |
| 353 | C2×C4 | — | 4 | 1 | no | — |
| 354 | C2×C4 | — | 18 | 1 | no | — |
| 355 | C2×C4 | — | 18 | 1 | no | — |
| 356 | C2×C4 | — | 18 | 1 | no | — |
| 357 | C2×C4 | — | 36 | 1 | no | — |
| 358 | C2×C4 | — | 72 | 1 | no | — |
| 359 | C2×C4 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 360 | C2×C4 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 361 | C8 | — | 4 | 1 | no | — |
| 362 | C8 | — | 36 | 1 | no | — |
| 363 | C2×C3 | — | 2 | 4 | no | — |
| 364 | C2×C3 | — | 2 | 4 | no | — |
| 365 | C2×C3 | — | 8 | 4 | no | — |
| 366 | C2×C3 | #4741 | 1 | 4 | yes | — |
| 367 | C2×C3 | #4781 | 1 | 4 | yes | — |
| 368 | C2×C3 | #4822 | 1 | 4 | yes | — |
| 369 | D3 | — | 24 | 4 | no | — |
| 370 | D3 | — | 24 | 8 | no | — |
| 371 | C22 | — | 2 | 1 | no | — |
| 372 | C22 | — | 2 | 1 | no | — |
| 373 | C22 | — | 4 | 1 | no | — |
| 374 | C22 | — | 4 | 1 | no | — |
| 375 | C22 | — | 4 | 1 | no | — |
| 376 | C22 | — | 36 | 2 | no | — |
| 377 | C22 | — | 36 | 2 | no | — |
| 378 | C22 | — | 36 | 2 | no | — |
| 379 | C22 | — | 36 | 1 | no | — |
| 380 | C22 | — | 36 | 2 | no | — |
| 381 | C22 | — | 36 | 1 | no | — |
| 382 | C22 | — | 36 | 1 | no | — |
| 383 | C22 | — | 72 | 1 | no | — |
| 384 | C22 | — | 72 | 1 | no | — |
| 385 | C22 | — | 72 | 1 | no | — |
| 386 | C22 | — | 72 | 1 | no | — |
| 387 | C22 | — | 72 | 1 | no | — |
| 388 | C22 | #64091 | 1 | 1 | yes | characteristic |
| 389 | C22 | #64120 | 1 | 1 | yes | characteristic |
| 390 | C22 | #64125 | 1 | 1 | yes | characteristic |
| 391 | C4 | — | 2 | 1 | no | — |
| 392 | C4 | — | 2 | 1 | no | — |
| 393 | C4 | — | 4 | 2 | no | — |
| 394 | C4 | — | 4 | 1 | no | — |
| 395 | C4 | — | 36 | 1 | no | — |
| 396 | C4 | — | 36 | 1 | no | — |
| 397 | C4 | — | 36 | 1 | no | — |
| 398 | C3 | #68285 | 1 | 4 | yes | complemented |
| 399 | C2 | — | 2 | 1 | no | — |
| 400 | C2 | — | 2 | 1 | no | — |
| 401 | C2 | — | 8 | 1 | no | — |
| 402 | C2 | — | 72 | 1 | no | — |
| 403 | C2 | — | 72 | 2 | no | — |
| 404 | C2 | #10592440 | 1 | 1 | yes | characteristic |
| 405 | C2 | #10592480 | 1 | 1 | yes | characteristic |
| 406 | C2 | #10592521 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596088 | C2 | semidirect |
| 2. #10592735 | C2 | semidirect |
| 3. #10592430 | C2 | semidirect |
| 4. #10592370 | C2 | semidirect |
| 5. C32×#327 | C2 | semidirect |
| 6. #10589334 | C2 | semidirect |
| 7. #10589318 | C2 | semidirect |
| 32. C3×#327 | D3 | semidirect |
| 38. C2×C32×D4 | D4 | semidirect |
| 51. C2×#634 | D4 | semidirect |
| 53. C32×C4⋊C4 | D4 | semidirect |
| 64. C4⋊(C3⋊Dic3) | D4 | semidirect |
| 133. #327 | C3⋊D3 | semidirect |
| 138. C2×C3×D4 | D12 | semidirect |
| 153. C3×C4⋊C4 | D12 | semidirect |
| 274. C2×D4 | C4⋊(C3⋊D3) | semidirect |
| 286. C4⋊C4 | C4⋊(C3⋊D3) | semidirect |
| 323. C32 | #1600 | semidirect |
| 398. C3 | #68285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596088 | 2 |
| #10592735 | 2 |
| #10592430 | 2 |
| #10592370 | 2 |
| C32×#327 | 2 |
| #10589334 | 2 |
| #10589318 | 2 |
| #68285 | 3 |