Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
846 conjugacy classes of subgroups.
The subgroup lattice has 402 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#63481 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×#63478 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10589827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10589770 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C9×#497 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10588870 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10588856 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10588771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10588739 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10588393 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D9×#97 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #81869 | — | 3 | 1 | no | maximal |
| 13 | C2×#3701 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#3701 | C22 | 1 | 2 | yes | — |
| 15 | C2×#3699 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×C9×Q16 | C22 | 1 | 2 | yes | — |
| 17 | C2×C9×SD16 | C22 | 1 | 2 | yes | — |
| 18 | C9×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C9×#124 | C22 | 1 | 1 | yes | characteristic |
| 20 | #63509 | C22 | 1 | 2 | yes | — |
| 21 | #63506 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#3675 | C22 | 1 | 2 | yes | — |
| 23 | C2×#3675 | C22 | 1 | 2 | yes | — |
| 24 | C2×#3674 | C22 | 1 | 2 | yes | — |
| 25 | #63502 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#3673 | C22 | 1 | 2 | yes | — |
| 27 | #63481 | — | 2 | 8 | no | — |
| 28 | #63478 | — | 2 | 8 | no | — |
| 29 | C2×D72 | C22 | 1 | 2 | yes | — |
| 30 | C2×#3664 | C22 | 1 | 2 | yes | — |
| 31 | C2×C8×D9 | C22 | 1 | 2 | yes | — |
| 32 | #63457 | — | 2 | 2 | no | — |
| 33 | #63455 | — | 2 | 2 | no | — |
| 34 | #63446 | — | 2 | 2 | no | — |
| 35 | #611⋊C4 | — | 2 | 2 | no | — |
| 36 | #63437 | C22 | 1 | 1 | yes | characteristic |
| 37 | #63436 | C22 | 1 | 1 | yes | characteristic |
| 38 | C42×D9 | C22 | 1 | 1 | yes | characteristic |
| 39 | C9×#97 | C22 | 1 | 1 | yes | characteristic |
| 40 | #63375 | C22 | 1 | 2 | yes | — |
| 41 | #63362 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#919 | — | 3 | 2 | no | — |
| 43 | C2×#916 | — | 3 | 2 | no | — |
| 44 | #5725 | — | 3 | 1 | no | — |
| 45 | #5668 | — | 3 | 1 | no | — |
| 46 | C3×#497 | D3 | 1 | 1 | yes | characteristic |
| 47 | #5190 | — | 3 | 2 | no | — |
| 48 | #5176 | — | 3 | 2 | no | — |
| 49 | #5086 | — | 3 | 1 | no | — |
| 50 | #5058 | — | 3 | 1 | no | — |
| 51 | #4712 | — | 3 | 1 | no | — |
| 52 | D3×#97 | — | 3 | 1 | no | — |
| 53 | C2×Q8×C9 | C23 | 1 | 2 | yes | — |
| 54 | C2×Q8×C9 | C23 | 1 | 1 | yes | characteristic |
| 55 | C2×D4×C9 | C23 | 1 | 1 | yes | characteristic |
| 56 | C2×#611 | — | 2 | 1 | no | — |
| 57 | C2×#611 | — | 2 | 2 | no | — |
| 58 | C22×Dic9 | — | 2 | 1 | no | — |
| 59 | #3701 | — | 2 | 4 | no | — |
| 60 | #3701 | — | 2 | 4 | no | — |
| 61 | #3701 | — | 2 | 4 | no | — |
| 62 | #3699 | — | 2 | 4 | no | — |
| 63 | C2×D36 | — | 2 | 1 | no | — |
| 64 | C2×D36 | — | 2 | 2 | no | — |
| 65 | C2×D36 | — | 2 | 2 | no | — |
| 66 | C2×D36 | C23 | 1 | 2 | yes | — |
| 67 | C2×D36 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C4×D9 | — | 2 | 1 | no | — |
| 69 | C2×C4×D9 | — | 2 | 2 | no | — |
| 70 | C2×C4×D9 | D4 | 1 | 2 | yes | — |
| 71 | C2×C4×D9 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×Dic18 | C23 | 1 | 1 | yes | characteristic |
| 73 | C9×Q16 | — | 2 | 4 | no | — |
| 74 | C9×SD16 | — | 2 | 4 | no | — |
| 75 | C2×C8×C9 | C23 | 1 | 2 | yes | — |
| 76 | C9×C4⋊C4 | — | 2 | 2 | no | — |
| 77 | C9×C22⋊C4 | — | 2 | 2 | no | — |
| 78 | C42×C9 | C23 | 1 | 1 | yes | characteristic |
| 79 | #3675 | — | 2 | 4 | no | — |
| 80 | #3675 | — | 2 | 4 | no | — |
| 81 | #3674 | — | 2 | 4 | no | — |
| 82 | #3673 | — | 2 | 4 | no | — |
| 83 | (C2×D9)⋊C4 | — | 2 | 2 | no | — |
| 84 | (C2×D9)⋊C4 | — | 2 | 4 | no | — |
| 85 | Dic9⋊C4 | — | 2 | 2 | no | — |
| 86 | C4×Dic9 | D4 | 1 | 2 | yes | — |
| 87 | C4×Dic9 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C9⋊C8 | C23 | 1 | 2 | yes | — |
| 89 | D72 | — | 2 | 4 | no | — |
| 90 | #3664 | — | 2 | 4 | no | — |
| 91 | C8×D9 | D4 | 1 | 8 | yes | complemented |
| 92 | #3150 | — | 9 | 1 | no | Sylow |
| 93 | C2×#239 | — | 3 | 1 | no | — |
| 94 | C2×#239 | — | 3 | 2 | no | — |
| 95 | C2×#237 | — | 3 | 1 | no | — |
| 96 | C2×C3×Q16 | C2×D3 | 1 | 2 | yes | — |
| 97 | C2×C3×SD16 | C2×D3 | 1 | 2 | yes | — |
| 98 | C3×C4⋊Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 99 | C3×#124 | C2×D3 | 1 | 1 | yes | characteristic |
| 100 | #947 | — | 3 | 2 | no | — |
| 101 | #944 | — | 3 | 1 | no | — |
| 102 | C2×#216 | — | 3 | 2 | no | — |
| 103 | C2×#215 | — | 3 | 2 | no | — |
| 104 | C2×#215 | — | 3 | 2 | no | — |
| 105 | #940 | — | 3 | 1 | no | — |
| 106 | C2×#213 | — | 3 | 2 | no | — |
| 107 | #919 | — | 6 | 8 | no | — |
| 108 | #916 | — | 6 | 8 | no | — |
| 109 | C2×D24 | — | 3 | 2 | no | — |
| 110 | C2×#204 | — | 3 | 2 | no | — |
| 111 | C2×D3×C8 | — | 3 | 2 | no | — |
| 112 | #895 | — | 6 | 2 | no | — |
| 113 | #893 | — | 6 | 2 | no | — |
| 114 | #884 | — | 6 | 2 | no | — |
| 115 | #67⋊C4 | — | 6 | 2 | no | — |
| 116 | #875 | — | 3 | 1 | no | — |
| 117 | #874 | — | 3 | 1 | no | — |
| 118 | C42×D3 | — | 3 | 1 | no | — |
| 119 | C3×#97 | C2×D3 | 1 | 1 | yes | characteristic |
| 120 | #815 | — | 3 | 2 | no | — |
| 121 | #803 | — | 3 | 1 | no | — |
| 122 | C23×C9 | — | 2 | 1 | no | — |
| 123 | C22×D9 | — | 2 | 2 | no | — |
| 124 | C22×D9 | — | 2 | 1 | no | — |
| 125 | C22×D9 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | Q8×C9 | — | 2 | 2 | no | — |
| 127 | Q8×C9 | — | 2 | 2 | no | — |
| 128 | Q8×C9 | — | 2 | 2 | no | — |
| 129 | D4×C9 | — | 2 | 2 | no | — |
| 130 | C2×C4×C9 | — | 2 | 1 | no | — |
| 131 | C2×C4×C9 | — | 2 | 2 | no | — |
| 132 | C2×C4×C9 | C2×D4 | 1 | 2 | yes | — |
| 133 | C2×C4×C9 | C24 | 1 | 1 | yes | characteristic |
| 134 | #611 | — | 4 | 4 | no | — |
| 135 | #611 | — | 4 | 2 | no | — |
| 136 | C2×Dic9 | — | 2 | 1 | no | — |
| 137 | C2×Dic9 | — | 4 | 2 | no | — |
| 138 | C2×Dic9 | C2×D4 | 1 | 2 | yes | — |
| 139 | C2×Dic9 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | D36 | — | 2 | 2 | no | — |
| 141 | D36 | — | 2 | 2 | no | — |
| 142 | D36 | — | 2 | 2 | no | — |
| 143 | D36 | — | 4 | 4 | no | — |
| 144 | D36 | — | 4 | 2 | no | — |
| 145 | D36 | — | 4 | 4 | no | — |
| 146 | C4×D9 | — | 4 | 2 | no | — |
| 147 | C4×D9 | — | 4 | 2 | no | — |
| 148 | C4×D9 | — | 4 | 4 | no | — |
| 149 | C4×D9 | C2×D4 | 1 | 4 | yes | — |
| 150 | Dic18 | — | 2 | 2 | no | — |
| 151 | C8×C9 | C2×D4 | 1 | 4 | yes | — |
| 152 | C9⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 153 | C2×#135 | — | 9 | 2 | no | — |
| 154 | C2×#135 | — | 9 | 2 | no | — |
| 155 | #532 | — | 9 | 1 | no | — |
| 156 | #532 | — | 9 | 1 | no | — |
| 157 | #497 | — | 9 | 2 | no | — |
| 158 | #497 | — | 9 | 1 | no | — |
| 159 | #497 | D9 | 1 | 1 | yes | characteristic, complemented |
| 160 | #496 | — | 9 | 2 | no | — |
| 161 | #496 | — | 9 | 1 | no | — |
| 162 | #496 | — | 9 | 1 | no | — |
| 163 | C2×#97 | — | 9 | 1 | no | — |
| 164 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 165 | C2×C3×Q8 | C22×D3 | 1 | 2 | yes | — |
| 166 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 167 | C2×#67 | — | 6 | 2 | no | — |
| 168 | C2×#67 | — | 6 | 1 | no | — |
| 169 | C22×Dic3 | — | 6 | 1 | no | — |
| 170 | #239 | — | 6 | 4 | no | — |
| 171 | #239 | — | 6 | 4 | no | — |
| 172 | #239 | — | 6 | 4 | no | — |
| 173 | #237 | — | 6 | 4 | no | — |
| 174 | C2×D12 | — | 3 | 2 | no | — |
| 175 | C2×D12 | — | 3 | 1 | no | — |
| 176 | C2×D12 | — | 6 | 1 | no | — |
| 177 | C2×D12 | — | 6 | 2 | no | — |
| 178 | C2×D12 | — | 6 | 2 | no | — |
| 179 | C2×C4×D3 | — | 3 | 1 | no | — |
| 180 | C2×C4×D3 | — | 3 | 2 | no | — |
| 181 | C2×C4×D3 | — | 6 | 1 | no | — |
| 182 | C2×C4×D3 | — | 6 | 2 | no | — |
| 183 | C2×Dic6 | — | 3 | 1 | no | — |
| 184 | C3×Q16 | — | 2 | 4 | no | — |
| 185 | C3×SD16 | — | 2 | 4 | no | — |
| 186 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 187 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 188 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 189 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 190 | #216 | — | 6 | 4 | no | — |
| 191 | #215 | — | 6 | 4 | no | — |
| 192 | #215 | — | 6 | 4 | no | — |
| 193 | #213 | — | 6 | 4 | no | — |
| 194 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 195 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 196 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 197 | C4×Dic3 | — | 3 | 2 | no | — |
| 198 | C4×Dic3 | — | 3 | 1 | no | — |
| 199 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 200 | D24 | — | 6 | 4 | no | — |
| 201 | #204 | — | 6 | 4 | no | — |
| 202 | D3×C8 | — | 3 | 8 | no | — |
| 203 | C22×C9 | — | 4 | 1 | no | — |
| 204 | C22×C9 | — | 4 | 2 | no | — |
| 205 | C22×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×D9 | — | 2 | 2 | no | — |
| 207 | C2×D9 | — | 4 | 2 | no | — |
| 208 | C2×D9 | — | 4 | 1 | no | — |
| 209 | C2×D9 | — | 4 | 4 | no | — |
| 210 | C2×D9 | — | 4 | 2 | no | — |
| 211 | C2×D9 | #127 | 1 | 2 | yes | — |
| 212 | C4×C9 | — | 2 | 2 | no | — |
| 213 | C4×C9 | — | 4 | 1 | no | — |
| 214 | C4×C9 | — | 4 | 2 | no | — |
| 215 | C4×C9 | C22×D4 | 1 | 2 | yes | — |
| 216 | Dic9 | — | 2 | 2 | no | — |
| 217 | Dic9 | — | 4 | 1 | no | — |
| 218 | Dic9 | #127 | 1 | 2 | yes | — |
| 219 | C2×#41 | — | 9 | 2 | no | — |
| 220 | C2×#41 | — | 9 | 1 | no | — |
| 221 | C2×#41 | — | 9 | 1 | no | — |
| 222 | #135 | — | 18 | 8 | no | — |
| 223 | #135 | — | 18 | 8 | no | — |
| 224 | C2×Q16 | — | 9 | 2 | no | — |
| 225 | C2×Q16 | C2×D9 | 1 | 2 | yes | — |
| 226 | C2×SD16 | — | 9 | 2 | no | — |
| 227 | C2×SD16 | — | 9 | 2 | no | — |
| 228 | C2×SD16 | — | 9 | 2 | no | — |
| 229 | C2×SD16 | C2×D9 | 1 | 2 | yes | — |
| 230 | C2×D8 | — | 9 | 2 | no | — |
| 231 | C2×D8 | — | 9 | 2 | no | — |
| 232 | C22×C8 | — | 9 | 2 | no | — |
| 233 | C4⋊Q8 | — | 9 | 1 | no | — |
| 234 | C4⋊Q8 | C2×D9 | 1 | 1 | yes | characteristic |
| 235 | #127 | — | 9 | 1 | no | — |
| 236 | #127 | — | 9 | 1 | no | — |
| 237 | #124 | — | 9 | 2 | no | — |
| 238 | #124 | — | 9 | 1 | no | — |
| 239 | #124 | C2×D9 | 1 | 1 | yes | characteristic |
| 240 | #121 | — | 18 | 2 | no | — |
| 241 | #121 | — | 18 | 2 | no | — |
| 242 | C4×D4 | — | 18 | 2 | no | — |
| 243 | C4×D4 | — | 18 | 2 | no | — |
| 244 | C2×C42 | — | 9 | 1 | no | — |
| 245 | #97 | — | 9 | 2 | no | — |
| 246 | #97 | — | 9 | 1 | no | — |
| 247 | #97 | C2×D9 | 1 | 1 | yes | characteristic |
| 248 | C23×C3 | — | 2 | 1 | no | — |
| 249 | C22×D3 | — | 3 | 1 | no | — |
| 250 | C22×D3 | — | 6 | 2 | no | — |
| 251 | C22×D3 | — | 6 | 1 | no | — |
| 252 | C3×Q8 | — | 2 | 2 | no | — |
| 253 | C3×Q8 | — | 2 | 2 | no | — |
| 254 | C3×Q8 | — | 2 | 2 | no | — |
| 255 | C3×D4 | — | 2 | 2 | no | — |
| 256 | C2×C3×C4 | — | 2 | 1 | no | — |
| 257 | C2×C3×C4 | — | 2 | 2 | no | — |
| 258 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 259 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 260 | #67 | — | 12 | 4 | no | — |
| 261 | #67 | — | 12 | 2 | no | — |
| 262 | C2×Dic3 | — | 3 | 1 | no | — |
| 263 | C2×Dic3 | — | 3 | 2 | no | — |
| 264 | C2×Dic3 | — | 6 | 1 | no | — |
| 265 | C2×Dic3 | — | 12 | 2 | no | — |
| 266 | D12 | — | 6 | 2 | no | — |
| 267 | D12 | — | 6 | 2 | no | — |
| 268 | D12 | — | 6 | 2 | no | — |
| 269 | D12 | — | 12 | 4 | no | — |
| 270 | D12 | — | 12 | 2 | no | — |
| 271 | D12 | — | 12 | 4 | no | — |
| 272 | C4×D3 | — | 3 | 4 | no | — |
| 273 | C4×D3 | — | 12 | 2 | no | — |
| 274 | C4×D3 | — | 12 | 4 | no | — |
| 275 | C4×D3 | — | 12 | 2 | no | — |
| 276 | Dic6 | — | 6 | 2 | no | — |
| 277 | C3×C8 | D3×D4 | 1 | 4 | yes | — |
| 278 | C3⋊C8 | — | 3 | 4 | no | — |
| 279 | C2×C9 | — | 8 | 1 | no | — |
| 280 | C2×C9 | C2×#127 | 1 | 1 | yes | characteristic |
| 281 | C2×C9 | #575 | 1 | 2 | yes | — |
| 282 | D9 | — | 2 | 2 | no | — |
| 283 | D9 | — | 8 | 2 | no | — |
| 284 | D9 | — | 8 | 1 | no | — |
| 285 | #41 | — | 18 | 4 | no | — |
| 286 | #41 | — | 18 | 4 | no | — |
| 287 | #41 | — | 18 | 4 | no | — |
| 288 | #41 | — | 18 | 4 | no | — |
| 289 | C2×Q8 | — | 9 | 1 | no | — |
| 290 | C2×Q8 | C22×D9 | 1 | 2 | yes | — |
| 291 | C2×Q8 | C22×D9 | 1 | 1 | yes | characteristic |
| 292 | C2×D4 | — | 9 | 2 | no | — |
| 293 | C2×D4 | — | 9 | 1 | no | — |
| 294 | C2×D4 | — | 18 | 1 | no | — |
| 295 | C2×D4 | — | 18 | 2 | no | — |
| 296 | C2×D4 | — | 18 | 2 | no | — |
| 297 | C2×D4 | — | 18 | 1 | no | — |
| 298 | C2×D4 | — | 18 | 2 | no | — |
| 299 | C2×D4 | C22×D9 | 1 | 1 | yes | characteristic |
| 300 | C22×C4 | — | 9 | 1 | no | — |
| 301 | C22×C4 | — | 9 | 2 | no | — |
| 302 | C22×C4 | — | 18 | 1 | no | — |
| 303 | C22×C4 | — | 18 | 2 | no | — |
| 304 | C22×C4 | — | 18 | 1 | no | — |
| 305 | Q16 | — | 2 | 4 | no | — |
| 306 | Q16 | — | 18 | 4 | no | — |
| 307 | SD16 | — | 2 | 4 | no | — |
| 308 | SD16 | — | 18 | 4 | no | — |
| 309 | SD16 | — | 18 | 4 | no | — |
| 310 | SD16 | — | 18 | 4 | no | — |
| 311 | D8 | — | 18 | 4 | no | — |
| 312 | D8 | — | 18 | 4 | no | — |
| 313 | C2×C8 | — | 9 | 2 | no | — |
| 314 | C2×C8 | — | 9 | 8 | no | — |
| 315 | C2×C8 | C22×D9 | 1 | 2 | yes | — |
| 316 | C4⋊C4 | — | 2 | 2 | no | — |
| 317 | C4⋊C4 | — | 18 | 2 | no | — |
| 318 | C22⋊C4 | — | 2 | 2 | no | — |
| 319 | C22⋊C4 | — | 18 | 4 | no | — |
| 320 | C22⋊C4 | — | 18 | 2 | no | — |
| 321 | C42 | — | 9 | 2 | no | — |
| 322 | C42 | — | 9 | 1 | no | — |
| 323 | C42 | C22×D9 | 1 | 1 | yes | characteristic |
| 324 | C22×C3 | — | 4 | 1 | no | — |
| 325 | C22×C3 | — | 4 | 2 | no | — |
| 326 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 327 | C2×D3 | — | 3 | 2 | no | — |
| 328 | C2×D3 | — | 6 | 2 | no | — |
| 329 | C2×D3 | — | 12 | 2 | no | — |
| 330 | C2×D3 | — | 12 | 1 | no | — |
| 331 | C2×D3 | — | 12 | 4 | no | — |
| 332 | C2×D3 | — | 12 | 2 | no | — |
| 333 | C3×C4 | — | 2 | 2 | no | — |
| 334 | C3×C4 | — | 4 | 1 | no | — |
| 335 | C3×C4 | — | 4 | 2 | no | — |
| 336 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 337 | Dic3 | — | 3 | 2 | no | — |
| 338 | Dic3 | — | 6 | 2 | no | — |
| 339 | Dic3 | — | 12 | 1 | no | — |
| 340 | C9 | #3150 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 341 | C23 | — | 2 | 1 | no | — |
| 342 | C23 | — | 9 | 1 | no | — |
| 343 | C23 | — | 18 | 2 | no | — |
| 344 | C23 | — | 18 | 1 | no | — |
| 345 | Q8 | — | 2 | 2 | no | — |
| 346 | Q8 | — | 2 | 2 | no | — |
| 347 | Q8 | — | 2 | 2 | no | — |
| 348 | Q8 | — | 18 | 2 | no | — |
| 349 | D4 | — | 2 | 2 | no | — |
| 350 | D4 | — | 18 | 2 | no | — |
| 351 | D4 | — | 18 | 2 | no | — |
| 352 | D4 | — | 18 | 2 | no | — |
| 353 | D4 | — | 36 | 4 | no | — |
| 354 | D4 | — | 36 | 2 | no | — |
| 355 | D4 | — | 36 | 4 | no | — |
| 356 | D4 | — | 36 | 4 | no | — |
| 357 | D4 | — | 36 | 2 | no | — |
| 358 | C2×C4 | — | 2 | 1 | no | — |
| 359 | C2×C4 | — | 2 | 2 | no | — |
| 360 | C2×C4 | — | 9 | 1 | no | — |
| 361 | C2×C4 | — | 9 | 4 | no | — |
| 362 | C2×C4 | — | 9 | 2 | no | — |
| 363 | C2×C4 | — | 18 | 1 | no | — |
| 364 | C2×C4 | — | 36 | 2 | no | — |
| 365 | C2×C4 | — | 36 | 2 | no | — |
| 366 | C2×C4 | — | 36 | 4 | no | — |
| 367 | C2×C4 | — | 36 | 2 | no | — |
| 368 | C2×C4 | D4×D9 | 1 | 2 | yes | — |
| 369 | C2×C4 | C23×D9 | 1 | 1 | yes | characteristic |
| 370 | C8 | — | 9 | 4 | no | — |
| 371 | C8 | D4×D9 | 1 | 4 | yes | — |
| 372 | C2×C3 | — | 8 | 1 | no | — |
| 373 | C2×C3 | D3×#127 | 1 | 1 | yes | characteristic |
| 374 | C2×C3 | #5777 | 1 | 2 | yes | — |
| 375 | D3 | — | 6 | 2 | no | — |
| 376 | D3 | — | 24 | 2 | no | — |
| 377 | D3 | — | 24 | 1 | no | — |
| 378 | C22 | — | 4 | 1 | no | — |
| 379 | C22 | — | 4 | 2 | no | — |
| 380 | C22 | — | 9 | 2 | no | — |
| 381 | C22 | — | 18 | 2 | no | — |
| 382 | C22 | — | 36 | 2 | no | — |
| 383 | C22 | — | 36 | 1 | no | — |
| 384 | C22 | — | 36 | 4 | no | — |
| 385 | C22 | — | 36 | 2 | no | — |
| 386 | C22 | C2×D4×D9 | 1 | 1 | yes | characteristic |
| 387 | C4 | — | 2 | 2 | no | — |
| 388 | C4 | — | 4 | 1 | no | — |
| 389 | C4 | — | 4 | 2 | no | — |
| 390 | C4 | — | 9 | 2 | no | — |
| 391 | C4 | — | 18 | 2 | no | — |
| 392 | C4 | — | 36 | 1 | no | — |
| 393 | C4 | C2×D4×D9 | 1 | 2 | yes | — |
| 394 | C3 | #81869 | 1 | 1 | yes | characteristic |
| 395 | C2 | — | 8 | 1 | no | — |
| 396 | C2 | — | 18 | 2 | no | — |
| 397 | C2 | — | 72 | 2 | no | — |
| 398 | C2 | — | 72 | 1 | no | — |
| 399 | C2 | D9×#127 | 1 | 1 | yes | characteristic |
| 400 | C2 | #10589879 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#63481 | C2 | semidirect |
| 2. C2×#63478 | C2 | semidirect |
| 3. #10589827 | C2 | semidirect |
| 4. #10589770 | C2 | semidirect |
| 5. C9×#497 | C2 | semidirect |
| 6. #10588870 | C2 | semidirect |
| 7. #10588856 | C2 | semidirect |
| 8. #10588771 | C2 | semidirect |
| 9. #10588739 | C2 | semidirect |
| 10. #10588393 | C2 | semidirect |
| 11. D9×#97 | C2 | semidirect |
| 91. C8×D9 | D4 | semidirect |
| 159. #497 | D9 | semidirect |
| 340. C9 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63481 | 2 |
| C2×#63478 | 2 |
| #10589827 | 2 |
| #10589770 | 2 |
| C9×#497 | 2 |
| #10588870 | 2 |
| #10588856 | 2 |
| #10588771 | 2 |
| #10588739 | 2 |
| #10588393 | 2 |
| D9×#97 | 2 |
| #81869 | 3 |