Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1176 conjugacy classes of subgroups.
The subgroup lattice has 456 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#63710 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×#3673 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#63470 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10589627 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C9×#418 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10588811 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10588683 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10588461 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10588453 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #78928 | — | 3 | 1 | no | maximal |
| 11 | C22×D4×C9 | C22 | 1 | 1 | yes | characteristic |
| 12 | C22×#611 | — | 2 | 2 | no | — |
| 13 | #63710 | — | 2 | 4 | no | — |
| 14 | #63710 | — | 2 | 4 | no | — |
| 15 | C2×#3699 | — | 2 | 1 | no | — |
| 16 | C2×#3699 | C22 | 1 | 2 | yes | complemented |
| 17 | C2×D4×D9 | — | 2 | 1 | no | — |
| 18 | C2×D4×D9 | C22 | 1 | 2 | yes | complemented |
| 19 | C2×#3697 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#3697 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×D36 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×C9×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C9×#117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#3673 | — | 2 | 4 | no | — |
| 25 | C2×#3673 | C22 | 1 | 4 | yes | complemented |
| 26 | C22×C9⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #63470 | — | 2 | 4 | no | — |
| 28 | C2×D72 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×#3664 | C22 | 1 | 2 | yes | complemented |
| 30 | #63457 | C22 | 1 | 4 | yes | complemented |
| 31 | #63444 | — | 2 | 2 | no | — |
| 32 | #63437 | — | 2 | 1 | no | — |
| 33 | #63436 | — | 2 | 1 | no | — |
| 34 | C9×#102 | C22 | 1 | 4 | yes | complemented |
| 35 | (C2×D9)⋊C8 | C22 | 1 | 4 | yes | complemented |
| 36 | #63369 | C22 | 1 | 2 | yes | complemented |
| 37 | #63368 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×#1004 | — | 3 | 1 | no | — |
| 39 | C22×#213 | — | 3 | 1 | no | — |
| 40 | C2×#908 | — | 3 | 1 | no | — |
| 41 | #5525 | — | 3 | 1 | no | — |
| 42 | C3×#418 | D3 | 1 | 1 | yes | characteristic |
| 43 | #5129 | — | 3 | 1 | no | — |
| 44 | #5002 | — | 3 | 1 | no | — |
| 45 | #4781 | — | 3 | 4 | no | — |
| 46 | #4773 | — | 3 | 4 | no | — |
| 47 | C24×C9 | — | 2 | 1 | no | — |
| 48 | C23×D9 | — | 2 | 2 | no | — |
| 49 | C23×D9 | — | 2 | 1 | no | — |
| 50 | C2×D4×C9 | — | 2 | 1 | no | — |
| 51 | C2×D4×C9 | — | 2 | 2 | no | — |
| 52 | C2×D4×C9 | D4 | 1 | 4 | yes | complemented |
| 53 | C2×D4×C9 | C23 | 1 | 2 | yes | — |
| 54 | C22×C4×C9 | C23 | 1 | 1 | yes | characteristic |
| 55 | C2×#611 | — | 2 | 16 | no | — |
| 56 | C2×#611 | — | 2 | 1 | no | — |
| 57 | C2×#611 | — | 2 | 2 | no | — |
| 58 | C2×#611 | — | 2 | 2 | no | — |
| 59 | C2×#611 | D4 | 1 | 2 | yes | — |
| 60 | C22×Dic9 | — | 2 | 2 | no | — |
| 61 | #3699 | — | 2 | 8 | no | — |
| 62 | #3699 | — | 2 | 4 | no | — |
| 63 | #3699 | — | 2 | 4 | no | — |
| 64 | D4×D9 | — | 2 | 8 | no | — |
| 65 | D4×D9 | — | 2 | 4 | no | — |
| 66 | D4×D9 | — | 2 | 4 | no | — |
| 67 | #3697 | — | 2 | 2 | no | — |
| 68 | #3697 | — | 2 | 2 | no | — |
| 69 | #3697 | — | 2 | 2 | no | — |
| 70 | #3697 | D4 | 1 | 4 | yes | complemented |
| 71 | C2×D36 | — | 2 | 2 | no | — |
| 72 | C2×D36 | — | 2 | 2 | no | — |
| 73 | C2×D36 | — | 2 | 1 | no | — |
| 74 | C2×D36 | — | 2 | 4 | no | — |
| 75 | C2×D36 | D4 | 1 | 1 | yes | characteristic |
| 76 | C2×D36 | C23 | 1 | 2 | yes | — |
| 77 | C2×D36 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×C4×D9 | — | 2 | 1 | no | — |
| 79 | C2×C4×D9 | C23 | 1 | 2 | yes | — |
| 80 | C2×Dic18 | D4 | 1 | 1 | yes | characteristic |
| 81 | C2×Dic18 | C23 | 1 | 1 | yes | characteristic |
| 82 | C9×M16 | — | 2 | 2 | no | — |
| 83 | C2×C8×C9 | C23 | 1 | 2 | yes | — |
| 84 | C9×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 85 | C9×C22⋊C4 | — | 2 | 1 | no | — |
| 86 | C42×C9 | — | 2 | 1 | no | — |
| 87 | #3673 | — | 2 | 8 | no | — |
| 88 | (C2×D9)⋊C4 | — | 2 | 4 | no | — |
| 89 | C2×C9⋊C8 | — | 2 | 2 | no | — |
| 90 | C2×C9⋊C8 | C23 | 1 | 2 | yes | — |
| 91 | D72 | — | 2 | 4 | no | — |
| 92 | #3664 | — | 2 | 4 | no | — |
| 93 | #3008 | — | 9 | 1 | no | Sylow |
| 94 | C22×C3×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 95 | C22×#67 | — | 6 | 2 | no | — |
| 96 | #1004 | — | 6 | 4 | no | — |
| 97 | #1004 | — | 6 | 4 | no | — |
| 98 | C2×#237 | — | 3 | 2 | no | — |
| 99 | C2×#237 | — | 6 | 1 | no | — |
| 100 | C2×D3×D4 | — | 3 | 2 | no | — |
| 101 | C2×D3×D4 | — | 6 | 1 | no | — |
| 102 | C2×#235 | — | 3 | 1 | no | — |
| 103 | C2×#235 | — | 3 | 1 | no | — |
| 104 | C22×D12 | — | 3 | 1 | no | — |
| 105 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 106 | C3×#117 | C2×D3 | 1 | 1 | yes | characteristic |
| 107 | C2×#213 | — | 3 | 4 | no | — |
| 108 | C2×#213 | — | 6 | 4 | no | — |
| 109 | C22×C3⋊C8 | — | 3 | 1 | no | — |
| 110 | #908 | — | 6 | 4 | no | — |
| 111 | C2×D24 | — | 3 | 2 | no | — |
| 112 | C2×#204 | — | 3 | 2 | no | — |
| 113 | #895 | — | 3 | 4 | no | — |
| 114 | #882 | — | 6 | 2 | no | — |
| 115 | #875 | — | 6 | 1 | no | — |
| 116 | #874 | — | 6 | 1 | no | — |
| 117 | C3×#102 | C2×D3 | 1 | 4 | yes | — |
| 118 | (C2×D3)⋊C8 | — | 3 | 4 | no | — |
| 119 | #810 | — | 3 | 2 | no | — |
| 120 | #809 | — | 3 | 2 | no | — |
| 121 | C23×C9 | — | 2 | 2 | no | — |
| 122 | C23×C9 | — | 2 | 4 | no | — |
| 123 | C23×C9 | — | 8 | 2 | no | — |
| 124 | C23×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 125 | C22×D9 | — | 2 | 1 | no | — |
| 126 | C22×D9 | — | 2 | 8 | no | — |
| 127 | C22×D9 | — | 2 | 2 | no | — |
| 128 | C22×D9 | — | 4 | 2 | no | — |
| 129 | C22×D9 | — | 8 | 4 | no | — |
| 130 | C22×D9 | — | 8 | 2 | no | — |
| 131 | C22×D9 | C2×D4 | 1 | 2 | yes | — |
| 132 | D4×C9 | — | 2 | 4 | no | — |
| 133 | D4×C9 | — | 2 | 2 | no | — |
| 134 | D4×C9 | C2×D4 | 1 | 4 | yes | — |
| 135 | C2×C4×C9 | — | 2 | 2 | no | — |
| 136 | C2×C4×C9 | C2×D4 | 1 | 2 | yes | — |
| 137 | C2×C4×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×C4×C9 | C2×D4 | 1 | 2 | yes | — |
| 139 | C2×C4×C9 | C24 | 1 | 1 | yes | characteristic |
| 140 | #611 | — | 2 | 8 | no | — |
| 141 | #611 | — | 2 | 8 | no | — |
| 142 | #611 | — | 2 | 4 | no | — |
| 143 | #611 | — | 2 | 4 | no | — |
| 144 | C2×Dic9 | — | 2 | 8 | no | — |
| 145 | C2×Dic9 | — | 2 | 1 | no | — |
| 146 | C2×Dic9 | C2×D4 | 1 | 2 | yes | — |
| 147 | D36 | — | 2 | 2 | no | — |
| 148 | D36 | — | 2 | 1 | no | — |
| 149 | D36 | — | 2 | 2 | no | — |
| 150 | D36 | — | 2 | 2 | no | — |
| 151 | D36 | — | 4 | 2 | no | — |
| 152 | D36 | — | 8 | 4 | no | — |
| 153 | D36 | C2×D4 | 1 | 2 | yes | — |
| 154 | C4×D9 | — | 2 | 4 | no | — |
| 155 | C4×D9 | — | 2 | 2 | no | — |
| 156 | C4×D9 | — | 2 | 2 | no | — |
| 157 | Dic18 | — | 2 | 2 | no | — |
| 158 | Dic18 | — | 2 | 1 | no | — |
| 159 | Dic18 | C2×D4 | 1 | 2 | yes | — |
| 160 | C8×C9 | — | 2 | 2 | no | — |
| 161 | C9⋊C8 | — | 2 | 2 | no | — |
| 162 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 163 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 164 | C22×D8 | — | 9 | 1 | no | — |
| 165 | #535 | — | 9 | 1 | no | — |
| 166 | #449 | — | 9 | 4 | no | — |
| 167 | #447 | — | 9 | 4 | no | — |
| 168 | #418 | D9 | 1 | 1 | yes | characteristic, complemented |
| 169 | #416 | — | 9 | 1 | no | — |
| 170 | #408 | — | 9 | 1 | no | — |
| 171 | C24×C3 | — | 2 | 1 | no | — |
| 172 | C23×D3 | — | 6 | 2 | no | — |
| 173 | C23×D3 | — | 6 | 1 | no | — |
| 174 | C2×C3×D4 | — | 2 | 1 | no | — |
| 175 | C2×C3×D4 | — | 2 | 2 | no | — |
| 176 | C2×C3×D4 | D12 | 1 | 4 | yes | — |
| 177 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 178 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 179 | C2×#67 | — | 3 | 2 | no | — |
| 180 | C2×#67 | — | 6 | 2 | no | — |
| 181 | C2×#67 | — | 6 | 2 | no | — |
| 182 | C2×#67 | — | 6 | 16 | no | — |
| 183 | C2×#67 | — | 6 | 1 | no | — |
| 184 | C22×Dic3 | — | 6 | 2 | no | — |
| 185 | #237 | — | 6 | 4 | no | — |
| 186 | #237 | — | 6 | 8 | no | — |
| 187 | #237 | — | 6 | 4 | no | — |
| 188 | D3×D4 | — | 6 | 4 | no | — |
| 189 | D3×D4 | — | 6 | 8 | no | — |
| 190 | D3×D4 | — | 6 | 4 | no | — |
| 191 | #235 | — | 3 | 4 | no | — |
| 192 | #235 | — | 6 | 2 | no | — |
| 193 | #235 | — | 6 | 2 | no | — |
| 194 | #235 | — | 6 | 2 | no | — |
| 195 | C2×D12 | — | 3 | 1 | no | — |
| 196 | C2×D12 | — | 3 | 1 | no | — |
| 197 | C2×D12 | — | 3 | 2 | no | — |
| 198 | C2×D12 | — | 6 | 2 | no | — |
| 199 | C2×D12 | — | 6 | 2 | no | — |
| 200 | C2×D12 | — | 6 | 1 | no | — |
| 201 | C2×D12 | — | 6 | 4 | no | — |
| 202 | C2×C4×D3 | — | 3 | 2 | no | — |
| 203 | C2×C4×D3 | — | 6 | 1 | no | — |
| 204 | C2×Dic6 | — | 3 | 1 | no | — |
| 205 | C2×Dic6 | — | 3 | 1 | no | — |
| 206 | C3×M16 | — | 2 | 2 | no | — |
| 207 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 208 | C3×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 209 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 210 | C3×C42 | — | 2 | 1 | no | — |
| 211 | #213 | — | 6 | 8 | no | — |
| 212 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 213 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 214 | C2×C3⋊C8 | — | 6 | 2 | no | — |
| 215 | D24 | — | 6 | 4 | no | — |
| 216 | #204 | — | 6 | 4 | no | — |
| 217 | C22×C9 | — | 2 | 2 | no | — |
| 218 | C22×C9 | — | 2 | 4 | no | — |
| 219 | C22×C9 | — | 4 | 4 | no | — |
| 220 | C22×C9 | — | 8 | 4 | no | — |
| 221 | C22×C9 | #120 | 1 | 2 | yes | — |
| 222 | C22×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 223 | C2×D9 | — | 2 | 2 | no | — |
| 224 | C2×D9 | — | 2 | 2 | no | — |
| 225 | C2×D9 | — | 2 | 4 | no | — |
| 226 | C2×D9 | — | 4 | 2 | no | — |
| 227 | C2×D9 | — | 4 | 2 | no | — |
| 228 | C2×D9 | — | 4 | 4 | no | — |
| 229 | C2×D9 | — | 8 | 8 | no | — |
| 230 | C2×D9 | — | 8 | 4 | no | — |
| 231 | C4×C9 | — | 4 | 2 | no | — |
| 232 | C4×C9 | #120 | 1 | 2 | yes | — |
| 233 | C4×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 234 | C4×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 235 | Dic9 | — | 2 | 2 | no | — |
| 236 | Dic9 | — | 2 | 2 | no | — |
| 237 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 238 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 239 | C2×#41 | — | 9 | 1 | no | — |
| 240 | C2×#41 | — | 9 | 2 | no | — |
| 241 | C2×#41 | — | 9 | 1 | no | — |
| 242 | C2×#41 | — | 18 | 1 | no | — |
| 243 | C22×D4 | — | 9 | 2 | no | — |
| 244 | C22×D4 | — | 9 | 1 | no | — |
| 245 | C22×D4 | — | 18 | 1 | no | — |
| 246 | C22×D4 | — | 18 | 2 | no | — |
| 247 | C22×D4 | C2×D9 | 1 | 1 | yes | characteristic |
| 248 | AGL(1,ℤ/8) | — | 18 | 4 | no | — |
| 249 | C2×SD16 | — | 9 | 2 | no | — |
| 250 | C2×D8 | — | 9 | 4 | no | — |
| 251 | C2×D8 | — | 9 | 2 | no | — |
| 252 | C2×D8 | — | 18 | 4 | no | — |
| 253 | C2×M16 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 254 | C22×C8 | — | 9 | 1 | no | — |
| 255 | #127 | — | 18 | 1 | no | — |
| 256 | #124 | — | 18 | 1 | no | — |
| 257 | #121 | — | 9 | 4 | no | — |
| 258 | #120 | — | 18 | 2 | no | — |
| 259 | #117 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 260 | #103 | — | 9 | 2 | no | — |
| 261 | #102 | — | 9 | 2 | no | — |
| 262 | #102 | C2×D9 | 1 | 4 | yes | complemented |
| 263 | C22⋊C8 | — | 9 | 4 | no | — |
| 264 | C23×C3 | — | 2 | 2 | no | — |
| 265 | C23×C3 | — | 2 | 4 | no | — |
| 266 | C23×C3 | — | 8 | 2 | no | — |
| 267 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 268 | C22×D3 | — | 3 | 2 | no | — |
| 269 | C22×D3 | — | 6 | 1 | no | — |
| 270 | C22×D3 | — | 6 | 8 | no | — |
| 271 | C22×D3 | — | 6 | 2 | no | — |
| 272 | C22×D3 | — | 12 | 2 | no | — |
| 273 | C22×D3 | — | 24 | 4 | no | — |
| 274 | C22×D3 | — | 24 | 2 | no | — |
| 275 | C3×D4 | — | 2 | 4 | no | — |
| 276 | C3×D4 | — | 2 | 2 | no | — |
| 277 | C3×D4 | C2×D12 | 1 | 4 | yes | — |
| 278 | C2×C3×C4 | — | 2 | 2 | no | — |
| 279 | C2×C3×C4 | C2×D12 | 1 | 2 | yes | — |
| 280 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 281 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 282 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 283 | #67 | — | 6 | 8 | no | — |
| 284 | #67 | — | 6 | 8 | no | — |
| 285 | #67 | — | 6 | 4 | no | — |
| 286 | #67 | — | 6 | 4 | no | — |
| 287 | C2×Dic3 | — | 3 | 2 | no | — |
| 288 | C2×Dic3 | — | 6 | 8 | no | — |
| 289 | C2×Dic3 | — | 6 | 1 | no | — |
| 290 | D12 | — | 3 | 2 | no | — |
| 291 | D12 | — | 6 | 2 | no | — |
| 292 | D12 | — | 6 | 1 | no | — |
| 293 | D12 | — | 6 | 2 | no | — |
| 294 | D12 | — | 6 | 2 | no | — |
| 295 | D12 | — | 12 | 2 | no | — |
| 296 | D12 | — | 24 | 4 | no | — |
| 297 | C4×D3 | — | 6 | 4 | no | — |
| 298 | C4×D3 | — | 6 | 2 | no | — |
| 299 | C4×D3 | — | 6 | 2 | no | — |
| 300 | Dic6 | — | 3 | 2 | no | — |
| 301 | Dic6 | — | 6 | 2 | no | — |
| 302 | Dic6 | — | 6 | 1 | no | — |
| 303 | C3×C8 | — | 2 | 2 | no | — |
| 304 | C3⋊C8 | — | 6 | 2 | no | — |
| 305 | C2×C9 | — | 2 | 2 | no | — |
| 306 | C2×C9 | — | 4 | 4 | no | — |
| 307 | C2×C9 | C2×#120 | 1 | 1 | yes | characteristic |
| 308 | C2×C9 | #576 | 1 | 2 | yes | — |
| 309 | D9 | — | 4 | 2 | no | — |
| 310 | D9 | — | 4 | 2 | no | — |
| 311 | D9 | — | 8 | 2 | no | — |
| 312 | C24 | — | 2 | 1 | no | — |
| 313 | C24 | — | 18 | 2 | no | — |
| 314 | C24 | — | 18 | 1 | no | — |
| 315 | #41 | — | 9 | 4 | no | — |
| 316 | #41 | — | 18 | 4 | no | — |
| 317 | #41 | — | 18 | 8 | no | — |
| 318 | #41 | — | 18 | 4 | no | — |
| 319 | #41 | — | 18 | 2 | no | — |
| 320 | #41 | — | 18 | 2 | no | — |
| 321 | #41 | — | 18 | 2 | no | — |
| 322 | C2×Q8 | — | 9 | 1 | no | — |
| 323 | C2×Q8 | — | 9 | 1 | no | — |
| 324 | C2×D4 | — | 2 | 1 | no | — |
| 325 | C2×D4 | — | 2 | 2 | no | — |
| 326 | C2×D4 | — | 9 | 2 | no | — |
| 327 | C2×D4 | — | 9 | 1 | no | — |
| 328 | C2×D4 | — | 9 | 1 | no | — |
| 329 | C2×D4 | — | 9 | 2 | no | — |
| 330 | C2×D4 | — | 18 | 4 | no | — |
| 331 | C2×D4 | — | 18 | 2 | no | — |
| 332 | C2×D4 | — | 18 | 4 | no | — |
| 333 | C2×D4 | — | 18 | 8 | no | — |
| 334 | C2×D4 | — | 18 | 2 | no | — |
| 335 | C2×D4 | — | 18 | 16 | no | — |
| 336 | C2×D4 | — | 18 | 1 | no | — |
| 337 | C2×D4 | — | 18 | 4 | no | — |
| 338 | C2×D4 | — | 18 | 2 | no | — |
| 339 | C2×D4 | — | 18 | 2 | no | — |
| 340 | C2×D4 | — | 18 | 1 | no | — |
| 341 | C2×D4 | D36 | 1 | 4 | yes | complemented |
| 342 | C2×D4 | C22×D9 | 1 | 2 | yes | — |
| 343 | C22×C4 | — | 9 | 2 | no | — |
| 344 | C22×C4 | — | 18 | 2 | no | — |
| 345 | C22×C4 | — | 18 | 1 | no | — |
| 346 | C22×C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 347 | SD16 | — | 18 | 4 | no | — |
| 348 | D8 | — | 18 | 4 | no | — |
| 349 | D8 | — | 18 | 8 | no | — |
| 350 | M16 | — | 2 | 2 | no | — |
| 351 | C2×C8 | — | 9 | 2 | no | — |
| 352 | C2×C8 | — | 18 | 2 | no | — |
| 353 | C2×C8 | C22×D9 | 1 | 2 | yes | — |
| 354 | C4⋊C4 | C22×D9 | 1 | 2 | yes | — |
| 355 | C22⋊C4 | — | 2 | 1 | no | — |
| 356 | C22⋊C4 | — | 18 | 4 | no | — |
| 357 | C42 | — | 2 | 1 | no | — |
| 358 | C22×C3 | — | 2 | 2 | no | — |
| 359 | C22×C3 | — | 2 | 4 | no | — |
| 360 | C22×C3 | — | 4 | 4 | no | — |
| 361 | C22×C3 | — | 8 | 4 | no | — |
| 362 | C22×C3 | #882 | 1 | 2 | yes | — |
| 363 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 364 | C2×D3 | — | 6 | 2 | no | — |
| 365 | C2×D3 | — | 6 | 2 | no | — |
| 366 | C2×D3 | — | 6 | 4 | no | — |
| 367 | C2×D3 | — | 12 | 2 | no | — |
| 368 | C2×D3 | — | 12 | 2 | no | — |
| 369 | C2×D3 | — | 12 | 4 | no | — |
| 370 | C2×D3 | — | 24 | 8 | no | — |
| 371 | C2×D3 | — | 24 | 4 | no | — |
| 372 | C3×C4 | — | 4 | 2 | no | — |
| 373 | C3×C4 | #882 | 1 | 2 | yes | — |
| 374 | C3×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 375 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 376 | Dic3 | — | 6 | 2 | no | — |
| 377 | Dic3 | — | 6 | 2 | no | — |
| 378 | C9 | #3008 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 379 | C23 | — | 2 | 2 | no | — |
| 380 | C23 | — | 2 | 4 | no | — |
| 381 | C23 | — | 8 | 2 | no | — |
| 382 | C23 | — | 9 | 2 | no | — |
| 383 | C23 | — | 18 | 8 | no | — |
| 384 | C23 | — | 18 | 1 | no | — |
| 385 | C23 | — | 18 | 2 | no | — |
| 386 | C23 | — | 36 | 2 | no | — |
| 387 | C23 | — | 72 | 2 | no | — |
| 388 | C23 | — | 72 | 4 | no | — |
| 389 | C23 | D4×D9 | 1 | 1 | yes | characteristic |
| 390 | Q8 | — | 9 | 2 | no | — |
| 391 | Q8 | — | 18 | 2 | no | — |
| 392 | Q8 | — | 18 | 1 | no | — |
| 393 | D4 | — | 2 | 4 | no | — |
| 394 | D4 | — | 2 | 2 | no | — |
| 395 | D4 | — | 9 | 2 | no | — |
| 396 | D4 | — | 18 | 8 | no | — |
| 397 | D4 | — | 18 | 8 | no | — |
| 398 | D4 | — | 18 | 4 | no | — |
| 399 | D4 | — | 18 | 4 | no | — |
| 400 | D4 | — | 18 | 2 | no | — |
| 401 | D4 | — | 18 | 1 | no | — |
| 402 | D4 | — | 18 | 2 | no | — |
| 403 | D4 | — | 18 | 2 | no | — |
| 404 | D4 | — | 36 | 2 | no | — |
| 405 | D4 | — | 72 | 4 | no | — |
| 406 | D4 | C2×D36 | 1 | 4 | yes | — |
| 407 | C2×C4 | — | 2 | 2 | no | — |
| 408 | C2×C4 | — | 9 | 2 | no | — |
| 409 | C2×C4 | — | 18 | 8 | no | — |
| 410 | C2×C4 | — | 18 | 1 | no | — |
| 411 | C2×C4 | — | 18 | 4 | no | — |
| 412 | C2×C4 | — | 18 | 2 | no | — |
| 413 | C2×C4 | — | 18 | 2 | no | — |
| 414 | C2×C4 | C2×D36 | 1 | 2 | yes | — |
| 415 | C2×C4 | D4×D9 | 1 | 1 | yes | characteristic |
| 416 | C2×C4 | D4×D9 | 1 | 2 | yes | — |
| 417 | C2×C4 | C23×D9 | 1 | 1 | yes | characteristic |
| 418 | C8 | — | 2 | 2 | no | — |
| 419 | C8 | — | 18 | 2 | no | — |
| 420 | C2×C3 | — | 2 | 2 | no | — |
| 421 | C2×C3 | — | 4 | 4 | no | — |
| 422 | C2×C3 | C2×#882 | 1 | 1 | yes | characteristic |
| 423 | C2×C3 | #5774 | 1 | 2 | yes | — |
| 424 | D3 | — | 12 | 2 | no | — |
| 425 | D3 | — | 12 | 2 | no | — |
| 426 | D3 | — | 24 | 2 | no | — |
| 427 | C22 | — | 2 | 2 | no | — |
| 428 | C22 | — | 2 | 4 | no | — |
| 429 | C22 | — | 4 | 4 | no | — |
| 430 | C22 | — | 8 | 4 | no | — |
| 431 | C22 | — | 18 | 2 | no | — |
| 432 | C22 | — | 18 | 2 | no | — |
| 433 | C22 | — | 18 | 4 | no | — |
| 434 | C22 | — | 36 | 2 | no | — |
| 435 | C22 | — | 36 | 2 | no | — |
| 436 | C22 | — | 36 | 4 | no | — |
| 437 | C22 | — | 72 | 4 | no | — |
| 438 | C22 | — | 72 | 8 | no | — |
| 439 | C22 | #63444 | 1 | 2 | yes | — |
| 440 | C22 | C2×D4×D9 | 1 | 1 | yes | characteristic |
| 441 | C4 | — | 4 | 2 | no | — |
| 442 | C4 | — | 18 | 2 | no | — |
| 443 | C4 | — | 18 | 2 | no | — |
| 444 | C4 | #63444 | 1 | 2 | yes | — |
| 445 | C4 | C22×D36 | 1 | 1 | yes | characteristic |
| 446 | C4 | C2×D4×D9 | 1 | 1 | yes | characteristic |
| 447 | C3 | #78928 | 1 | 1 | yes | characteristic |
| 448 | C2 | — | 2 | 2 | no | — |
| 449 | C2 | — | 4 | 4 | no | — |
| 450 | C2 | — | 36 | 2 | no | — |
| 451 | C2 | — | 36 | 2 | no | — |
| 452 | C2 | — | 72 | 2 | no | — |
| 453 | C2 | C2×#63444 | 1 | 1 | yes | characteristic |
| 454 | C2 | #10589876 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#63710 | C2 | semidirect |
| 2. C22×#3673 | C2 | semidirect |
| 3. C2×#63470 | C2 | semidirect |
| 4. #10589627 | C2 | semidirect |
| 5. C9×#418 | C2 | semidirect |
| 6. #10588811 | C2 | semidirect |
| 7. #10588683 | C2 | semidirect |
| 8. #10588461 | C2 | semidirect |
| 9. #10588453 | C2 | semidirect |
| 16. C2×#3699 | C22 | semidirect |
| 18. C2×D4×D9 | C22 | semidirect |
| 21. C22×D36 | C22 | semidirect |
| 22. C2×C9×M16 | C22 | semidirect |
| 23. C9×#117 | C22 | semidirect |
| 25. C2×#3673 | C22 | semidirect |
| 26. C22×C9⋊C8 | C22 | semidirect |
| 28. C2×D72 | C22 | semidirect |
| 29. C2×#3664 | C22 | semidirect |
| 30. #63457 | C22 | semidirect |
| 34. C9×#102 | C22 | semidirect |
| 35. (C2×D9)⋊C8 | C22 | semidirect |
| 36. #63369 | C22 | semidirect |
| 37. #63368 | C22 | semidirect |
| 52. C2×D4×C9 | D4 | semidirect |
| 70. #3697 | D4 | semidirect |
| 168. #418 | D9 | semidirect |
| 253. C2×M16 | C2×D9 | semidirect |
| 259. #117 | C2×D9 | semidirect |
| 262. #102 | C2×D9 | semidirect |
| 341. C2×D4 | D36 | semidirect |
| 378. C9 | #3008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63710 | 2 |
| C22×#3673 | 2 |
| C2×#63470 | 2 |
| #10589627 | 2 |
| C9×#418 | 2 |
| #10588811 | 2 |
| #10588683 | 2 |
| #10588461 | 2 |
| #10588453 | 2 |
| #78928 | 3 |