Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1283 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 1283 conjugacy classes of subgroups — too many to draw. Only its 180 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 | #10596187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#63936 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #10593971 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#5074 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10591493 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591485 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10590372 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10590322 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #81844 | — | 3 | 2 | no | maximal |
| 10 | C2×#3830 | C22 | 1 | 2 | yes | — |
| 11 | C2×#3796 | C22 | 1 | 2 | yes | — |
| 12 | C32×#127 | C22 | 1 | 1 | yes | characteristic |
| 13 | #64147 | — | 2 | 2 | no | — |
| 14 | #64145 | C22 | 1 | 2 | yes | — |
| 15 | D4×C3⋊Dic3 | — | 2 | 2 | no | — |
| 16 | C42×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 17 | #64078 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C3×#214 | C22 | 1 | 4 | yes | — |
| 19 | C2×C3×#213 | C22 | 1 | 4 | yes | — |
| 20 | C3×#875 | C22 | 1 | 2 | yes | — |
| 21 | #63936 | — | 2 | 16 | no | — |
| 22 | #63914 | C22 | 1 | 1 | yes | characteristic |
| 23 | #63912 | — | 2 | 2 | no | — |
| 24 | #63902 | — | 2 | 2 | no | — |
| 25 | #63873 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#3719 | C22 | 1 | 4 | yes | — |
| 27 | C2×#3716 | C22 | 1 | 4 | yes | — |
| 28 | C2×#3710 | C22 | 1 | 2 | yes | — |
| 29 | C3×#803 | C22 | 1 | 2 | yes | — |
| 30 | #63555 | C22 | 1 | 2 | yes | — |
| 31 | C2×#916 | — | 3 | 4 | no | — |
| 32 | C2×#912 | — | 3 | 4 | no | — |
| 33 | #5716 | — | 3 | 2 | no | — |
| 34 | #5716 | — | 6 | 1 | no | — |
| 35 | #5668 | — | 3 | 2 | no | — |
| 36 | C3×#496 | — | 3 | 2 | no | — |
| 37 | #5167 | — | 3 | 4 | no | — |
| 38 | #5154 | — | 3 | 4 | no | — |
| 39 | #5074 | D3 | 1 | 2 | yes | complemented |
| 40 | #5060 | — | 3 | 2 | no | — |
| 41 | #4715 | — | 3 | 2 | no | — |
| 42 | D3×#97 | — | 3 | 2 | no | — |
| 43 | C2×C32×D4 | — | 2 | 2 | no | — |
| 44 | C2×C32×D4 | C23 | 1 | 2 | yes | — |
| 45 | C2×#638 | — | 2 | 2 | no | — |
| 46 | C22×C3⋊Dic3 | — | 2 | 2 | no | — |
| 47 | #3830 | — | 2 | 8 | no | — |
| 48 | C2×C4×C3⋊D3 | D4 | 1 | 2 | yes | — |
| 49 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 50 | C2×#634 | C23 | 1 | 2 | yes | — |
| 51 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 52 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 53 | C2×#626 | — | 2 | 2 | no | — |
| 54 | C2×#625 | — | 2 | 2 | no | — |
| 55 | C2×D3×Dic3 | — | 2 | 2 | no | — |
| 56 | #3796 | — | 2 | 8 | no | — |
| 57 | C32×C42 | C23 | 1 | 1 | yes | characteristic |
| 58 | #3757 | — | 2 | 4 | no | — |
| 59 | C4⋊(C3⋊Dic3) | — | 2 | 2 | no | — |
| 60 | C4×C3⋊Dic3 | D4 | 1 | 2 | yes | — |
| 61 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 62 | C3×#214 | — | 2 | 8 | no | — |
| 63 | C3×#213 | — | 2 | 8 | no | — |
| 64 | C3×(C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 65 | C2×C3×C3⋊C8 | C23 | 1 | 4 | yes | — |
| 66 | #3724 | — | 2 | 2 | no | — |
| 67 | #3719 | — | 2 | 8 | no | — |
| 68 | #3716 | — | 2 | 8 | no | — |
| 69 | #3710 | D4 | 1 | 8 | yes | complemented |
| 70 | #3150 | — | 9 | 1 | no | Sylow |
| 71 | C2×#239 | — | 3 | 2 | no | — |
| 72 | C2×#237 | — | 3 | 4 | no | — |
| 73 | C2×#237 | — | 3 | 2 | no | — |
| 74 | C2×#237 | — | 6 | 2 | no | — |
| 75 | C2×C3×SD16 | — | 3 | 4 | no | — |
| 76 | C2×C3×D8 | — | 3 | 4 | no | — |
| 77 | C3×#127 | — | 2 | 1 | no | — |
| 78 | C3×#127 | C2×D3 | 1 | 2 | yes | — |
| 79 | C3×#124 | — | 3 | 2 | no | — |
| 80 | #944 | — | 3 | 2 | no | — |
| 81 | C2×#216 | — | 3 | 4 | no | — |
| 82 | #940 | — | 3 | 2 | no | — |
| 83 | #938 | — | 6 | 4 | no | — |
| 84 | #938 | — | 6 | 4 | no | — |
| 85 | #936 | — | 3 | 4 | no | — |
| 86 | #936 | — | 6 | 2 | no | — |
| 87 | D4×Dic3 | — | 6 | 4 | no | — |
| 88 | D4×Dic3 | — | 6 | 4 | no | — |
| 89 | C2×#214 | — | 3 | 4 | no | — |
| 90 | C2×#214 | C2×D3 | 1 | 4 | yes | — |
| 91 | C2×#213 | C2×D3 | 1 | 4 | yes | — |
| 92 | #916 | — | 6 | 16 | no | — |
| 93 | #912 | — | 6 | 16 | no | — |
| 94 | C2×Dic12 | — | 3 | 4 | no | — |
| 95 | C2×#204 | — | 3 | 4 | no | — |
| 96 | C2×D3×C8 | — | 3 | 4 | no | — |
| 97 | #884 | — | 6 | 4 | no | — |
| 98 | #67⋊C4 | — | 6 | 4 | no | — |
| 99 | #875 | C2×D3 | 1 | 2 | yes | — |
| 100 | C42×D3 | — | 3 | 2 | no | — |
| 101 | C42×D3 | — | 6 | 1 | no | — |
| 102 | #869 | — | 3 | 2 | no | — |
| 103 | #869 | — | 6 | 1 | no | — |
| 104 | C3×#97 | — | 3 | 2 | no | — |
| 105 | #815 | — | 3 | 4 | no | — |
| 106 | #803 | C2×D3 | 1 | 2 | yes | — |
| 107 | C23×C32 | — | 2 | 2 | no | — |
| 108 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C22×C3×D3 | — | 2 | 2 | no | — |
| 110 | C32×D4 | — | 2 | 4 | no | — |
| 111 | C32×D4 | — | 4 | 4 | no | — |
| 112 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 113 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 114 | #638 | — | 4 | 4 | no | — |
| 115 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 116 | C2×C3⋊Dic3 | — | 4 | 4 | no | — |
| 117 | C2×C3⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 118 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 120 | C4×C3⋊D3 | C2×D4 | 1 | 4 | yes | — |
| 121 | #634 | — | 2 | 4 | no | — |
| 122 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 123 | C3×D12 | — | 2 | 4 | no | — |
| 124 | C3×Dic6 | — | 2 | 4 | no | — |
| 125 | #626 | — | 4 | 4 | no | — |
| 126 | #625 | — | 4 | 4 | no | — |
| 127 | D3×Dic3 | — | 4 | 4 | no | — |
| 128 | C3×C3⋊C8 | C2×D4 | 1 | 8 | yes | — |
| 129 | C2×#135 | — | 9 | 4 | no | — |
| 130 | #532 | — | 9 | 1 | no | — |
| 131 | #532 | — | 9 | 1 | no | — |
| 132 | #497 | — | 9 | 2 | no | — |
| 133 | #497 | — | 9 | 2 | no | — |
| 134 | #496 | — | 3 | 2 | no | — |
| 135 | #496 | — | 9 | 2 | no | — |
| 136 | C2×#97 | — | 9 | 1 | no | — |
| 137 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 138 | C2×C3×D4 | — | 2 | 4 | no | — |
| 139 | C2×C3×D4 | — | 2 | 4 | no | — |
| 140 | C2×C3×D4 | — | 2 | 2 | no | — |
| 141 | C2×C3×D4 | — | 3 | 2 | no | — |
| 142 | C2×C3×D4 | C22×D3 | 1 | 4 | yes | — |
| 143 | C2×#67 | — | 6 | 2 | no | — |
| 144 | C2×#67 | — | 6 | 4 | no | — |
| 145 | C2×#67 | — | 6 | 4 | no | — |
| 146 | C2×#67 | — | 6 | 4 | no | — |
| 147 | C22×Dic3 | — | 6 | 2 | no | — |
| 148 | C22×Dic3 | — | 6 | 4 | no | — |
| 149 | C22×Dic3 | — | 6 | 4 | no | — |
| 150 | #239 | — | 6 | 8 | no | — |
| 151 | #237 | — | 6 | 8 | no | — |
| 152 | #237 | — | 6 | 8 | no | — |
| 153 | #237 | — | 6 | 8 | no | — |
| 154 | #237 | — | 12 | 8 | no | — |
| 155 | C2×D12 | — | 6 | 2 | no | — |
| 156 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 157 | C2×C4×D3 | — | 3 | 2 | no | — |
| 158 | C2×C4×D3 | — | 3 | 4 | no | — |
| 159 | C2×C4×D3 | — | 6 | 1 | no | — |
| 160 | C2×C4×D3 | — | 6 | 2 | no | — |
| 161 | C2×C4×D3 | — | 6 | 2 | no | — |
| 162 | C2×Dic6 | — | 3 | 4 | no | — |
| 163 | C2×Dic6 | — | 6 | 2 | no | — |
| 164 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 165 | C3×SD16 | — | 6 | 8 | no | — |
| 166 | C3×D8 | — | 6 | 8 | no | — |
| 167 | C2×C3×C8 | — | 3 | 4 | no | — |
| 168 | C3×C22⋊C4 | — | 6 | 4 | no | — |
| 169 | C3×C42 | — | 2 | 1 | no | — |
| 170 | C3×C42 | C22×D3 | 1 | 2 | yes | — |
| 171 | #217 | — | 6 | 8 | no | — |
| 172 | #217 | — | 6 | 8 | no | — |
| 173 | #216 | — | 6 | 8 | no | — |
| 174 | #214 | — | 2 | 8 | no | — |
| 175 | #214 | — | 6 | 8 | no | — |
| 176 | #213 | — | 2 | 8 | no | — |
| 177 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 178 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 179 | C4⋊Dic3 | — | 6 | 4 | no | — |
| 180 | Dic3⋊C4 | — | 6 | 4 | no | — |
| 181 | C4×Dic3 | — | 3 | 4 | no | — |
| 182 | C4×Dic3 | — | 3 | 2 | no | — |
| 183 | C4×Dic3 | — | 6 | 2 | no | — |
| 184 | C4×Dic3 | — | 6 | 1 | no | — |
| 185 | C2×C3⋊C8 | C22×D3 | 1 | 4 | yes | — |
| 186 | Dic12 | — | 6 | 8 | no | — |
| 187 | #204 | — | 6 | 8 | no | — |
| 188 | D3×C8 | — | 3 | 16 | no | — |
| 189 | C22×C32 | — | 4 | 2 | no | — |
| 190 | C22×C32 | — | 4 | 4 | no | — |
| 191 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 193 | C2×C3⋊D3 | #127 | 1 | 2 | yes | — |
| 194 | C2×C3×D3 | — | 4 | 2 | no | — |
| 195 | C2×C3×D3 | — | 4 | 4 | no | — |
| 196 | C32×C4 | — | 2 | 2 | no | — |
| 197 | C32×C4 | C22×D4 | 1 | 2 | yes | — |
| 198 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 199 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 200 | C3⋊Dic3 | #127 | 1 | 2 | yes | — |
| 201 | C3×Dic3 | — | 4 | 2 | no | — |
| 202 | C2×#41 | — | 9 | 2 | no | — |
| 203 | C2×#41 | — | 9 | 2 | no | — |
| 204 | #135 | — | 18 | 16 | no | — |
| 205 | C2×Q16 | — | 9 | 4 | no | — |
| 206 | C2×SD16 | — | 3 | 4 | no | — |
| 207 | C2×SD16 | — | 9 | 4 | no | — |
| 208 | C2×D8 | — | 3 | 4 | no | — |
| 209 | C22×C8 | — | 9 | 2 | no | — |
| 210 | C4⋊Q8 | — | 9 | 1 | no | — |
| 211 | C4⋊Q8 | — | 9 | 1 | no | — |
| 212 | #127 | — | 9 | 1 | no | — |
| 213 | #127 | D32 | 1 | 1 | yes | characteristic |
| 214 | #124 | — | 3 | 2 | no | — |
| 215 | #124 | — | 9 | 2 | no | — |
| 216 | #121 | — | 18 | 2 | no | — |
| 217 | #121 | — | 18 | 2 | no | — |
| 218 | C4×D4 | — | 18 | 2 | no | — |
| 219 | C4×D4 | — | 18 | 2 | no | — |
| 220 | C2×C42 | — | 9 | 1 | no | — |
| 221 | #97 | — | 3 | 2 | no | — |
| 222 | #97 | — | 9 | 2 | no | — |
| 223 | C23×C3 | — | 2 | 4 | no | — |
| 224 | C23×C3 | — | 2 | 4 | no | — |
| 225 | C23×C3 | — | 6 | 2 | no | — |
| 226 | C22×D3 | — | 2 | 2 | no | — |
| 227 | C22×D3 | — | 3 | 2 | no | — |
| 228 | C22×D3 | — | 6 | 1 | no | — |
| 229 | C3×Q8 | — | 6 | 4 | no | — |
| 230 | C3×D4 | — | 2 | 4 | no | — |
| 231 | C3×D4 | — | 2 | 4 | no | — |
| 232 | C3×D4 | — | 4 | 4 | no | — |
| 233 | C3×D4 | — | 4 | 8 | no | — |
| 234 | C3×D4 | — | 4 | 8 | no | — |
| 235 | C3×D4 | — | 6 | 4 | no | — |
| 236 | C2×C3×C4 | — | 2 | 1 | no | — |
| 237 | C2×C3×C4 | — | 2 | 2 | no | — |
| 238 | C2×C3×C4 | — | 6 | 2 | no | — |
| 239 | C2×C3×C4 | D3×D4 | 1 | 4 | yes | — |
| 240 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 241 | #67 | — | 12 | 4 | no | — |
| 242 | #67 | — | 12 | 8 | no | — |
| 243 | #67 | — | 12 | 8 | no | — |
| 244 | #67 | — | 12 | 8 | no | — |
| 245 | C2×Dic3 | — | 2 | 2 | no | — |
| 246 | C2×Dic3 | — | 3 | 2 | no | — |
| 247 | C2×Dic3 | — | 3 | 4 | no | — |
| 248 | C2×Dic3 | — | 6 | 1 | no | — |
| 249 | C2×Dic3 | — | 6 | 2 | no | — |
| 250 | C2×Dic3 | — | 6 | 4 | no | — |
| 251 | C2×Dic3 | — | 6 | 4 | no | — |
| 252 | C2×Dic3 | — | 12 | 4 | no | — |
| 253 | C2×Dic3 | — | 12 | 8 | no | — |
| 254 | C2×Dic3 | — | 12 | 8 | no | — |
| 255 | D12 | — | 2 | 4 | no | — |
| 256 | D12 | — | 12 | 4 | no | — |
| 257 | C4×D3 | — | 3 | 8 | no | — |
| 258 | C4×D3 | — | 6 | 4 | no | — |
| 259 | C4×D3 | — | 12 | 4 | no | — |
| 260 | C4×D3 | — | 12 | 4 | no | — |
| 261 | C4×D3 | — | 12 | 4 | no | — |
| 262 | Dic6 | — | 2 | 4 | no | — |
| 263 | Dic6 | — | 6 | 4 | no | — |
| 264 | Dic6 | — | 6 | 4 | no | — |
| 265 | Dic6 | — | 12 | 4 | no | — |
| 266 | C3×C8 | — | 3 | 8 | no | — |
| 267 | C3⋊C8 | D3×D4 | 1 | 8 | yes | — |
| 268 | C2×C32 | — | 8 | 2 | no | — |
| 269 | C2×C32 | C2×#127 | 1 | 1 | yes | characteristic |
| 270 | C2×C32 | #575 | 1 | 2 | yes | — |
| 271 | C3⋊D3 | — | 2 | 2 | no | — |
| 272 | C3×D3 | — | 8 | 2 | no | — |
| 273 | #41 | — | 18 | 8 | no | — |
| 274 | #41 | — | 18 | 8 | no | — |
| 275 | C2×Q8 | — | 3 | 2 | no | — |
| 276 | C2×Q8 | — | 9 | 2 | no | — |
| 277 | C2×D4 | — | 2 | 2 | no | — |
| 278 | C2×D4 | — | 3 | 2 | no | — |
| 279 | C2×D4 | — | 18 | 2 | no | — |
| 280 | C2×D4 | — | 18 | 2 | no | — |
| 281 | C2×D4 | — | 18 | 2 | no | — |
| 282 | C2×D4 | C2×D32 | 1 | 2 | yes | — |
| 283 | C22×C4 | — | 9 | 1 | no | — |
| 284 | C22×C4 | — | 9 | 2 | no | — |
| 285 | C22×C4 | — | 18 | 2 | no | — |
| 286 | C22×C4 | — | 18 | 2 | no | — |
| 287 | Q16 | — | 18 | 8 | no | — |
| 288 | SD16 | — | 6 | 8 | no | — |
| 289 | SD16 | — | 18 | 8 | no | — |
| 290 | D8 | — | 6 | 8 | no | — |
| 291 | C2×C8 | — | 3 | 4 | no | — |
| 292 | C2×C8 | — | 9 | 8 | no | — |
| 293 | C4⋊C4 | — | 18 | 2 | no | — |
| 294 | C4⋊C4 | — | 18 | 2 | no | — |
| 295 | C22⋊C4 | — | 6 | 4 | no | — |
| 296 | C22⋊C4 | — | 18 | 4 | no | — |
| 297 | C42 | — | 9 | 1 | no | — |
| 298 | C42 | — | 9 | 2 | no | — |
| 299 | C42 | C2×D32 | 1 | 1 | yes | characteristic |
| 300 | C22×C3 | — | 2 | 1 | no | — |
| 301 | C22×C3 | — | 4 | 4 | no | — |
| 302 | C22×C3 | — | 4 | 8 | no | — |
| 303 | C22×C3 | — | 4 | 4 | no | — |
| 304 | C22×C3 | — | 4 | 8 | no | — |
| 305 | C22×C3 | — | 12 | 2 | no | — |
| 306 | C22×C3 | — | 12 | 4 | no | — |
| 307 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 308 | C2×D3 | — | 3 | 4 | no | — |
| 309 | C2×D3 | — | 4 | 2 | no | — |
| 310 | C2×D3 | — | 4 | 4 | no | — |
| 311 | C2×D3 | — | 6 | 2 | no | — |
| 312 | C2×D3 | — | 6 | 4 | no | — |
| 313 | C2×D3 | — | 12 | 2 | no | — |
| 314 | C3×C4 | — | 2 | 4 | no | — |
| 315 | C3×C4 | — | 2 | 4 | no | — |
| 316 | C3×C4 | — | 2 | 2 | no | — |
| 317 | C3×C4 | — | 12 | 2 | no | — |
| 318 | C3×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 319 | Dic3 | — | 3 | 4 | no | — |
| 320 | Dic3 | — | 4 | 2 | no | — |
| 321 | Dic3 | — | 6 | 2 | no | — |
| 322 | Dic3 | — | 6 | 4 | no | — |
| 323 | Dic3 | — | 12 | 2 | no | — |
| 324 | Dic3 | — | 12 | 4 | no | — |
| 325 | Dic3 | — | 12 | 4 | no | — |
| 326 | C32 | #3150 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 327 | C23 | — | 2 | 2 | no | — |
| 328 | C23 | — | 6 | 2 | no | — |
| 329 | C23 | — | 9 | 1 | no | — |
| 330 | Q8 | — | 6 | 4 | no | — |
| 331 | Q8 | — | 18 | 4 | no | — |
| 332 | D4 | — | 2 | 4 | no | — |
| 333 | D4 | — | 4 | 4 | no | — |
| 334 | D4 | — | 6 | 4 | no | — |
| 335 | D4 | — | 36 | 4 | no | — |
| 336 | D4 | — | 36 | 4 | no | — |
| 337 | D4 | — | 36 | 4 | no | — |
| 338 | C2×C4 | — | 6 | 2 | no | — |
| 339 | C2×C4 | — | 9 | 1 | no | — |
| 340 | C2×C4 | — | 9 | 4 | no | — |
| 341 | C2×C4 | — | 9 | 2 | no | — |
| 342 | C2×C4 | — | 18 | 2 | no | — |
| 343 | C2×C4 | — | 36 | 2 | no | — |
| 344 | C2×C4 | — | 36 | 4 | no | — |
| 345 | C2×C4 | — | 36 | 4 | no | — |
| 346 | C2×C4 | #3811 | 1 | 2 | yes | — |
| 347 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 348 | C8 | — | 3 | 8 | no | — |
| 349 | C2×C3 | — | 2 | 2 | no | — |
| 350 | C2×C3 | — | 2 | 1 | no | — |
| 351 | C2×C3 | — | 8 | 4 | no | — |
| 352 | C2×C3 | — | 8 | 4 | no | — |
| 353 | C2×C3 | — | 24 | 2 | no | — |
| 354 | C2×C3 | D3×#127 | 1 | 2 | yes | — |
| 355 | C2×C3 | #5773 | 1 | 4 | yes | — |
| 356 | D3 | — | 6 | 4 | no | — |
| 357 | D3 | — | 8 | 2 | no | — |
| 358 | D3 | — | 12 | 2 | no | — |
| 359 | C22 | — | 4 | 4 | no | — |
| 360 | C22 | — | 4 | 2 | no | — |
| 361 | C22 | — | 9 | 2 | no | — |
| 362 | C22 | — | 12 | 4 | no | — |
| 363 | C22 | — | 12 | 2 | no | — |
| 364 | C22 | — | 18 | 2 | no | — |
| 365 | C22 | C2×#3811 | 1 | 1 | yes | characteristic |
| 366 | C4 | — | 2 | 2 | no | — |
| 367 | C4 | — | 9 | 2 | no | — |
| 368 | C4 | — | 12 | 2 | no | — |
| 369 | C4 | — | 18 | 2 | no | — |
| 370 | C4 | — | 36 | 2 | no | — |
| 371 | C4 | D32×D4 | 1 | 2 | yes | — |
| 372 | C3 | — | 2 | 1 | no | — |
| 373 | C3 | #81844 | 1 | 2 | yes | complemented |
| 374 | C2 | — | 8 | 2 | no | — |
| 375 | C2 | — | 18 | 2 | no | — |
| 376 | C2 | — | 24 | 2 | no | — |
| 377 | C2 | #10595101 | 1 | 2 | yes | — |
| 378 | C2 | #10595300 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596187 | C2 | semidirect |
| 2. C2×#63936 | C2 | semidirect |
| 3. #10593971 | C2 | semidirect |
| 4. C3×#5074 | C2 | semidirect |
| 5. #10591493 | C2 | semidirect |
| 6. #10591485 | C2 | semidirect |
| 7. #10590372 | C2 | semidirect |
| 8. #10590322 | C2 | semidirect |
| 39. #5074 | D3 | semidirect |
| 69. #3710 | D4 | semidirect |
| 326. C32 | #3150 | semidirect |
| 373. C3 | #81844 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596187 | 2 |
| C2×#63936 | 2 |
| #10593971 | 2 |
| C3×#5074 | 2 |
| #10591493 | 2 |
| #10591485 | 2 |
| #10590372 | 2 |
| #10590322 | 2 |
| #81844 | 3 |