Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2094 conjugacy classes of subgroups.
The subgroup lattice has 558 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#64367 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596293 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10596219 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595997 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C32×#421 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#63651 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10592704 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10592526 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10592525 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #78996 | — | 3 | 4 | no | maximal |
| 11 | C2×C32×#41 | C22 | 1 | 1 | yes | characteristic |
| 12 | #64367 | — | 2 | 2 | no | — |
| 13 | #64367 | — | 2 | 2 | no | — |
| 14 | #64367 | — | 2 | 2 | no | — |
| 15 | #64367 | C22 | 1 | 4 | yes | — |
| 16 | C2×Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 17 | C2×#3830 | — | 2 | 1 | no | — |
| 18 | C2×#3830 | — | 2 | 2 | no | — |
| 19 | C2×#3828 | — | 2 | 1 | no | — |
| 20 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×#634 | — | 2 | 1 | no | — |
| 23 | C22×#634 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic |
| 25 | C32×#117 | C22 | 1 | 1 | yes | characteristic |
| 26 | #64160 | C22 | 1 | 2 | yes | complemented |
| 27 | #64159 | — | 2 | 2 | no | — |
| 28 | #64158 | C22 | 1 | 2 | yes | complemented |
| 29 | #64151 | — | 2 | 1 | no | — |
| 30 | #64141 | — | 2 | 1 | no | — |
| 31 | C2×#3748 | C22 | 1 | 1 | yes | characteristic |
| 32 | #64118 | — | 2 | 1 | no | — |
| 33 | #64118 | C22 | 1 | 2 | yes | complemented |
| 34 | #64117 | — | 2 | 1 | no | — |
| 35 | #64117 | C22 | 1 | 2 | yes | complemented |
| 36 | #64113 | — | 2 | 2 | no | — |
| 37 | #64106 | — | 2 | 2 | no | — |
| 38 | #64095 | — | 2 | 2 | no | — |
| 39 | #64084 | C22 | 1 | 2 | yes | complemented |
| 40 | #64078 | C22 | 1 | 2 | yes | complemented |
| 41 | C32×#104 | C22 | 1 | 4 | yes | complemented |
| 42 | #63651 | C22 | 1 | 4 | yes | complemented |
| 43 | #63632 | C22 | 1 | 4 | yes | complemented |
| 44 | C2×#1010 | — | 3 | 4 | no | — |
| 45 | #5822 | — | 3 | 4 | no | — |
| 46 | #5748 | — | 3 | 4 | no | — |
| 47 | #5526 | — | 3 | 4 | no | — |
| 48 | C3×#421 | D3 | 1 | 4 | yes | complemented |
| 49 | C2×#824 | — | 3 | 4 | no | — |
| 50 | #5005 | — | 3 | 4 | no | — |
| 51 | #4827 | — | 3 | 16 | no | — |
| 52 | #4826 | — | 3 | 16 | no | — |
| 53 | C32×#41 | — | 2 | 1 | no | — |
| 54 | C32×#41 | — | 2 | 1 | no | — |
| 55 | C32×#41 | D4 | 1 | 2 | yes | — |
| 56 | C32×#41 | C23 | 1 | 2 | yes | — |
| 57 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic |
| 58 | C2×C32×D4 | — | 2 | 1 | no | — |
| 59 | C2×C32×D4 | D4 | 1 | 1 | yes | characteristic |
| 60 | C22×C32×C4 | — | 2 | 1 | no | — |
| 61 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×#638 | — | 2 | 2 | no | — |
| 63 | C2×#638 | — | 2 | 1 | no | — |
| 64 | C2×#638 | — | 2 | 1 | no | — |
| 65 | C22×C3⋊Dic3 | — | 2 | 2 | no | — |
| 66 | C22×C3⋊Dic3 | D4 | 1 | 2 | yes | — |
| 67 | Q8×C3⋊D3 | — | 2 | 4 | no | — |
| 68 | Q8×C3⋊D3 | — | 2 | 4 | no | — |
| 69 | #3830 | — | 2 | 8 | no | — |
| 70 | #3830 | — | 2 | 4 | no | — |
| 71 | #3830 | — | 2 | 4 | no | — |
| 72 | #3830 | — | 2 | 8 | no | — |
| 73 | #3828 | — | 2 | 4 | no | — |
| 74 | #3828 | — | 2 | 1 | no | — |
| 75 | #3828 | — | 2 | 1 | no | — |
| 76 | #3828 | — | 2 | 4 | no | — |
| 77 | #3828 | — | 2 | 1 | no | — |
| 78 | #3828 | — | 2 | 1 | no | — |
| 79 | #3828 | — | 2 | 1 | no | — |
| 80 | #3828 | — | 2 | 1 | no | — |
| 81 | #3828 | D4 | 1 | 2 | yes | — |
| 82 | #3828 | C23 | 1 | 2 | yes | — |
| 83 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 84 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 86 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 87 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 88 | C2×#634 | — | 2 | 2 | no | — |
| 89 | C2×#634 | — | 2 | 4 | no | — |
| 90 | C2×#634 | — | 2 | 1 | no | — |
| 91 | C2×#634 | — | 2 | 1 | no | — |
| 92 | C2×#634 | — | 2 | 1 | no | — |
| 93 | C2×#634 | — | 2 | 1 | no | — |
| 94 | C2×#634 | — | 2 | 4 | no | — |
| 95 | C2×#634 | D4 | 1 | 2 | yes | — |
| 96 | C2×#634 | D4 | 1 | 1 | yes | characteristic |
| 97 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×#634 | C23 | 1 | 2 | yes | — |
| 99 | C32×M16 | — | 2 | 1 | no | — |
| 100 | C32×M16 | C23 | 1 | 2 | yes | — |
| 101 | C2×C32×C8 | — | 2 | 1 | no | — |
| 102 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 103 | C32×C22⋊C4 | — | 2 | 1 | no | — |
| 104 | C32×C42 | C23 | 1 | 2 | yes | — |
| 105 | #3756 | — | 2 | 2 | no | — |
| 106 | #3755 | — | 2 | 2 | no | — |
| 107 | #3754 | — | 2 | 2 | no | — |
| 108 | #3753 | — | 2 | 2 | no | — |
| 109 | #3752 | — | 2 | 4 | no | — |
| 110 | C4⋊(C3⋊Dic3) | — | 2 | 4 | no | — |
| 111 | #3748 | — | 2 | 1 | no | — |
| 112 | #3748 | C23 | 1 | 2 | yes | — |
| 113 | C2×C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 114 | #3746 | — | 2 | 2 | no | — |
| 115 | #3745 | — | 2 | 2 | no | — |
| 116 | #3744 | — | 2 | 2 | no | — |
| 117 | #3744 | — | 2 | 2 | no | — |
| 118 | #3020 | — | 9 | 1 | no | Sylow |
| 119 | C2×C3×#41 | C2×D3 | 1 | 4 | yes | — |
| 120 | #1010 | — | 3 | 16 | no | — |
| 121 | #1010 | — | 6 | 8 | no | — |
| 122 | #1010 | — | 6 | 8 | no | — |
| 123 | #1010 | — | 6 | 8 | no | — |
| 124 | C2×D3×Q8 | — | 6 | 4 | no | — |
| 125 | C2×#237 | — | 6 | 8 | no | — |
| 126 | C2×#237 | — | 6 | 4 | no | — |
| 127 | C2×#235 | — | 3 | 4 | no | — |
| 128 | C2×#235 | — | 3 | 4 | no | — |
| 129 | C2×#235 | — | 6 | 4 | no | — |
| 130 | C22×Dic6 | — | 3 | 4 | no | — |
| 131 | C22×Dic6 | — | 6 | 4 | no | — |
| 132 | C2×C3×M16 | C2×D3 | 1 | 4 | yes | — |
| 133 | C3×#117 | C2×D3 | 1 | 4 | yes | — |
| 134 | #951 | — | 3 | 8 | no | — |
| 135 | #950 | — | 6 | 8 | no | — |
| 136 | #949 | — | 3 | 8 | no | — |
| 137 | #942 | — | 6 | 4 | no | — |
| 138 | #932 | — | 6 | 4 | no | — |
| 139 | C2×#208 | — | 3 | 4 | no | — |
| 140 | #909 | — | 3 | 8 | no | — |
| 141 | #909 | — | 6 | 4 | no | — |
| 142 | #908 | — | 3 | 8 | no | — |
| 143 | #908 | — | 6 | 4 | no | — |
| 144 | #904 | — | 6 | 8 | no | — |
| 145 | #897 | — | 6 | 8 | no | — |
| 146 | #886 | — | 6 | 8 | no | — |
| 147 | #875 | — | 3 | 8 | no | — |
| 148 | #869 | — | 3 | 8 | no | — |
| 149 | C3×#104 | C2×D3 | 1 | 16 | yes | complemented |
| 150 | #824 | — | 3 | 16 | no | — |
| 151 | #805 | — | 3 | 16 | no | — |
| 152 | C23×C32 | — | 2 | 1 | no | — |
| 153 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 155 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 156 | C32×Q8 | — | 2 | 1 | no | — |
| 157 | C32×Q8 | C2×D4 | 1 | 2 | yes | — |
| 158 | C32×D4 | — | 2 | 2 | no | — |
| 159 | C32×D4 | — | 2 | 2 | no | — |
| 160 | C32×D4 | — | 2 | 1 | no | — |
| 161 | C32×D4 | C2×D4 | 1 | 2 | yes | — |
| 162 | C2×C32×C4 | — | 2 | 1 | no | — |
| 163 | C2×C32×C4 | — | 2 | 2 | no | — |
| 164 | C2×C32×C4 | — | 2 | 2 | no | — |
| 165 | C2×C32×C4 | — | 2 | 2 | no | — |
| 166 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 171 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 172 | #638 | — | 2 | 8 | no | — |
| 173 | #638 | — | 2 | 2 | no | — |
| 174 | #638 | — | 2 | 2 | no | — |
| 175 | #638 | — | 4 | 1 | no | — |
| 176 | #638 | — | 4 | 1 | no | — |
| 177 | C2×C3⋊Dic3 | — | 2 | 8 | no | — |
| 178 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 179 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 180 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 181 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 182 | C2×C3⋊Dic3 | C2×D4 | 1 | 4 | yes | — |
| 183 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 184 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 185 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 186 | C4⋊(C3⋊D3) | C2×D4 | 1 | 2 | yes | — |
| 187 | C4×C3⋊D3 | — | 2 | 8 | no | — |
| 188 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 189 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 190 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 191 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 192 | #634 | — | 2 | 8 | no | — |
| 193 | #634 | — | 2 | 2 | no | — |
| 194 | #634 | — | 2 | 1 | no | — |
| 195 | #634 | — | 2 | 2 | no | — |
| 196 | #634 | — | 2 | 2 | no | — |
| 197 | #634 | — | 2 | 2 | no | — |
| 198 | #634 | — | 2 | 1 | no | — |
| 199 | #634 | — | 2 | 1 | no | — |
| 200 | #634 | C2×D4 | 1 | 2 | yes | — |
| 201 | C32×C8 | — | 2 | 2 | no | — |
| 202 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 203 | C2×2−1+4 | — | 9 | 1 | no | — |
| 204 | #575 | — | 9 | 1 | no | — |
| 205 | #575 | — | 9 | 1 | no | — |
| 206 | #536 | — | 9 | 1 | no | — |
| 207 | #456 | — | 9 | 4 | no | — |
| 208 | #454 | — | 9 | 4 | no | — |
| 209 | #421 | — | 9 | 1 | no | — |
| 210 | #421 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 211 | C2×#101 | — | 9 | 1 | no | — |
| 212 | C3×#41 | — | 2 | 4 | no | — |
| 213 | C3×#41 | — | 2 | 4 | no | — |
| 214 | C3×#41 | D12 | 1 | 8 | yes | — |
| 215 | C3×#41 | C22×D3 | 1 | 8 | yes | — |
| 216 | C2×C3×Q8 | D12 | 1 | 4 | yes | — |
| 217 | C2×C3×D4 | — | 2 | 4 | no | — |
| 218 | C2×C3×D4 | D12 | 1 | 4 | yes | — |
| 219 | C22×C3×C4 | — | 2 | 4 | no | — |
| 220 | C22×C3×C4 | C22×D3 | 1 | 4 | yes | — |
| 221 | C2×#67 | — | 6 | 8 | no | — |
| 222 | C2×#67 | — | 6 | 4 | no | — |
| 223 | C2×#67 | — | 6 | 4 | no | — |
| 224 | C22×Dic3 | — | 3 | 8 | no | — |
| 225 | C22×Dic3 | — | 6 | 8 | no | — |
| 226 | D3×Q8 | — | 6 | 16 | no | — |
| 227 | D3×Q8 | — | 6 | 16 | no | — |
| 228 | #237 | — | 6 | 32 | no | — |
| 229 | #237 | — | 6 | 32 | no | — |
| 230 | #237 | — | 6 | 16 | no | — |
| 231 | #237 | — | 6 | 16 | no | — |
| 232 | #235 | — | 3 | 8 | no | — |
| 233 | #235 | — | 3 | 8 | no | — |
| 234 | #235 | — | 6 | 16 | no | — |
| 235 | #235 | — | 6 | 16 | no | — |
| 236 | #235 | — | 6 | 4 | no | — |
| 237 | #235 | — | 6 | 4 | no | — |
| 238 | #235 | — | 6 | 4 | no | — |
| 239 | #235 | — | 6 | 4 | no | — |
| 240 | #235 | — | 6 | 4 | no | — |
| 241 | #235 | — | 6 | 4 | no | — |
| 242 | C2×D12 | — | 3 | 4 | no | — |
| 243 | C2×D12 | — | 3 | 4 | no | — |
| 244 | C2×C4×D3 | — | 6 | 8 | no | — |
| 245 | C2×C4×D3 | — | 6 | 4 | no | — |
| 246 | C2×C4×D3 | — | 6 | 4 | no | — |
| 247 | C2×Dic6 | — | 3 | 4 | no | — |
| 248 | C2×Dic6 | — | 3 | 8 | no | — |
| 249 | C2×Dic6 | — | 3 | 8 | no | — |
| 250 | C2×Dic6 | — | 3 | 4 | no | — |
| 251 | C2×Dic6 | — | 6 | 16 | no | — |
| 252 | C2×Dic6 | — | 6 | 8 | no | — |
| 253 | C2×Dic6 | — | 6 | 16 | no | — |
| 254 | C2×Dic6 | — | 6 | 4 | no | — |
| 255 | C2×Dic6 | — | 6 | 4 | no | — |
| 256 | C2×Dic6 | — | 6 | 4 | no | — |
| 257 | C2×Dic6 | — | 6 | 4 | no | — |
| 258 | C3×M16 | — | 2 | 4 | no | — |
| 259 | C3×M16 | C22×D3 | 1 | 8 | yes | — |
| 260 | C2×C3×C8 | — | 2 | 4 | no | — |
| 261 | C3×C4⋊C4 | — | 2 | 4 | no | — |
| 262 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 263 | C3×C42 | C22×D3 | 1 | 8 | yes | — |
| 264 | #216 | — | 6 | 8 | no | — |
| 265 | #215 | — | 6 | 8 | no | — |
| 266 | #214 | — | 6 | 8 | no | — |
| 267 | #213 | — | 6 | 8 | no | — |
| 268 | (C2×D3)⋊C4 | — | 6 | 16 | no | — |
| 269 | C4⋊Dic3 | — | 6 | 16 | no | — |
| 270 | #208 | — | 3 | 8 | no | — |
| 271 | #208 | — | 6 | 4 | no | — |
| 272 | C2×C3⋊C8 | — | 6 | 4 | no | — |
| 273 | Dic12 | — | 6 | 8 | no | — |
| 274 | D24 | — | 6 | 8 | no | — |
| 275 | #204 | — | 6 | 8 | no | — |
| 276 | #204 | — | 6 | 8 | no | — |
| 277 | C22×C32 | — | 2 | 2 | no | — |
| 278 | C22×C32 | — | 4 | 1 | no | — |
| 279 | C22×C32 | — | 4 | 2 | no | — |
| 280 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 281 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 282 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 283 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 284 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 285 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 286 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 287 | C32×C4 | — | 2 | 2 | no | — |
| 288 | C32×C4 | — | 4 | 2 | no | — |
| 289 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 290 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 291 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 292 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 293 | C3⋊Dic3 | — | 2 | 4 | no | — |
| 294 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 295 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 296 | 2−1+4 | — | 9 | 4 | no | — |
| 297 | 2−1+4 | — | 18 | 2 | no | — |
| 298 | 2−1+4 | — | 18 | 2 | no | — |
| 299 | 2−1+4 | — | 18 | 2 | no | — |
| 300 | C2×#41 | — | 9 | 1 | no | — |
| 301 | C2×#41 | — | 9 | 1 | no | — |
| 302 | C2×#41 | — | 18 | 1 | no | — |
| 303 | C2×#41 | — | 18 | 2 | no | — |
| 304 | C2×#41 | — | 18 | 1 | no | — |
| 305 | C2×#41 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 306 | C22×Q8 | — | 9 | 1 | no | — |
| 307 | C22×Q8 | — | 18 | 1 | no | — |
| 308 | C22×Q8 | — | 18 | 1 | no | — |
| 309 | #137 | — | 9 | 2 | no | — |
| 310 | #137 | — | 9 | 2 | no | — |
| 311 | #137 | — | 18 | 1 | no | — |
| 312 | #137 | — | 18 | 1 | no | — |
| 313 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 314 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 315 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 316 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 317 | #135 | — | 18 | 2 | no | — |
| 318 | #135 | — | 18 | 2 | no | — |
| 319 | C2×M16 | — | 9 | 1 | no | — |
| 320 | C2×M16 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 321 | C4⋊Q8 | — | 9 | 2 | no | — |
| 322 | #124 | — | 9 | 2 | no | — |
| 323 | #123 | — | 18 | 2 | no | — |
| 324 | C22⋊Q8 | — | 18 | 2 | no | — |
| 325 | #117 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 326 | #104 | — | 9 | 4 | no | — |
| 327 | #104 | C2×C3⋊D3 | 1 | 4 | yes | complemented |
| 328 | #101 | — | 9 | 4 | no | — |
| 329 | C23×C3 | — | 2 | 4 | no | — |
| 330 | C23×C3 | D3×D4 | 1 | 4 | yes | — |
| 331 | C22×D3 | — | 6 | 4 | no | — |
| 332 | C22×D3 | — | 6 | 4 | no | — |
| 333 | C3×Q8 | — | 2 | 4 | no | — |
| 334 | C3×Q8 | C2×D12 | 1 | 8 | yes | — |
| 335 | C3×D4 | — | 2 | 8 | no | — |
| 336 | C3×D4 | — | 2 | 8 | no | — |
| 337 | C3×D4 | — | 2 | 4 | no | — |
| 338 | C3×D4 | C2×D12 | 1 | 8 | yes | — |
| 339 | C2×C3×C4 | — | 2 | 4 | no | — |
| 340 | C2×C3×C4 | — | 2 | 8 | no | — |
| 341 | C2×C3×C4 | — | 2 | 8 | no | — |
| 342 | C2×C3×C4 | — | 2 | 8 | no | — |
| 343 | C2×C3×C4 | C2×D12 | 1 | 4 | yes | — |
| 344 | C2×C3×C4 | C2×D12 | 1 | 4 | yes | — |
| 345 | C2×C3×C4 | D3×D4 | 1 | 4 | yes | — |
| 346 | C2×C3×C4 | D3×D4 | 1 | 4 | yes | — |
| 347 | C2×C3×C4 | D3×D4 | 1 | 4 | yes | — |
| 348 | C2×C3×C4 | C23×D3 | 1 | 4 | yes | — |
| 349 | #67 | — | 6 | 32 | no | — |
| 350 | #67 | — | 6 | 8 | no | — |
| 351 | #67 | — | 6 | 8 | no | — |
| 352 | #67 | — | 12 | 4 | no | — |
| 353 | #67 | — | 12 | 4 | no | — |
| 354 | C2×Dic3 | — | 3 | 16 | no | — |
| 355 | C2×Dic3 | — | 6 | 32 | no | — |
| 356 | C2×Dic3 | — | 6 | 4 | no | — |
| 357 | C2×Dic3 | — | 6 | 8 | no | — |
| 358 | C2×Dic3 | — | 6 | 8 | no | — |
| 359 | C2×Dic3 | — | 6 | 4 | no | — |
| 360 | D12 | — | 3 | 8 | no | — |
| 361 | D12 | — | 6 | 4 | no | — |
| 362 | D12 | — | 6 | 4 | no | — |
| 363 | D12 | — | 6 | 4 | no | — |
| 364 | C4×D3 | — | 6 | 32 | no | — |
| 365 | C4×D3 | — | 6 | 8 | no | — |
| 366 | C4×D3 | — | 6 | 8 | no | — |
| 367 | C4×D3 | — | 12 | 4 | no | — |
| 368 | C4×D3 | — | 12 | 4 | no | — |
| 369 | Dic6 | — | 3 | 8 | no | — |
| 370 | Dic6 | — | 6 | 32 | no | — |
| 371 | Dic6 | — | 6 | 4 | no | — |
| 372 | Dic6 | — | 6 | 8 | no | — |
| 373 | Dic6 | — | 6 | 8 | no | — |
| 374 | Dic6 | — | 6 | 8 | no | — |
| 375 | Dic6 | — | 6 | 8 | no | — |
| 376 | Dic6 | — | 6 | 4 | no | — |
| 377 | Dic6 | — | 6 | 4 | no | — |
| 378 | C3×C8 | — | 2 | 8 | no | — |
| 379 | C3⋊C8 | — | 6 | 8 | no | — |
| 380 | C2×C32 | — | 2 | 1 | no | — |
| 381 | C2×C32 | — | 2 | 1 | no | — |
| 382 | C2×C32 | — | 2 | 1 | no | — |
| 383 | C2×C32 | — | 4 | 2 | no | — |
| 384 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 385 | C3⋊D3 | — | 4 | 2 | no | — |
| 386 | C3⋊D3 | — | 8 | 1 | no | — |
| 387 | #41 | — | 2 | 1 | no | — |
| 388 | #41 | — | 2 | 1 | no | — |
| 389 | #41 | — | 9 | 2 | no | — |
| 390 | #41 | — | 9 | 2 | no | — |
| 391 | #41 | — | 18 | 4 | no | — |
| 392 | #41 | — | 18 | 4 | no | — |
| 393 | #41 | — | 18 | 8 | no | — |
| 394 | #41 | — | 18 | 8 | no | — |
| 395 | #41 | — | 18 | 4 | no | — |
| 396 | #41 | — | 18 | 4 | no | — |
| 397 | #41 | — | 18 | 1 | no | — |
| 398 | #41 | — | 18 | 1 | no | — |
| 399 | #41 | — | 18 | 1 | no | — |
| 400 | #41 | — | 18 | 1 | no | — |
| 401 | #41 | — | 18 | 1 | no | — |
| 402 | #41 | — | 18 | 1 | no | — |
| 403 | #41 | C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 404 | #41 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 405 | C2×Q8 | — | 9 | 2 | no | — |
| 406 | C2×Q8 | — | 9 | 2 | no | — |
| 407 | C2×Q8 | — | 9 | 1 | no | — |
| 408 | C2×Q8 | — | 9 | 1 | no | — |
| 409 | C2×Q8 | — | 18 | 4 | no | — |
| 410 | C2×Q8 | — | 18 | 2 | no | — |
| 411 | C2×Q8 | — | 18 | 4 | no | — |
| 412 | C2×Q8 | — | 18 | 4 | no | — |
| 413 | C2×Q8 | — | 18 | 4 | no | — |
| 414 | C2×Q8 | — | 18 | 1 | no | — |
| 415 | C2×Q8 | — | 18 | 1 | no | — |
| 416 | C2×Q8 | — | 18 | 1 | no | — |
| 417 | C2×Q8 | — | 18 | 1 | no | — |
| 418 | C2×Q8 | C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 419 | C2×D4 | — | 2 | 1 | no | — |
| 420 | C2×D4 | — | 9 | 1 | no | — |
| 421 | C2×D4 | — | 9 | 1 | no | — |
| 422 | C2×D4 | — | 18 | 2 | no | — |
| 423 | C2×D4 | — | 18 | 1 | no | — |
| 424 | C2×D4 | — | 18 | 1 | no | — |
| 425 | C2×D4 | C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 426 | C22×C4 | — | 2 | 1 | no | — |
| 427 | C22×C4 | — | 9 | 2 | no | — |
| 428 | C22×C4 | — | 18 | 2 | no | — |
| 429 | C22×C4 | — | 18 | 2 | no | — |
| 430 | C22×C4 | — | 18 | 1 | no | — |
| 431 | C22×C4 | — | 18 | 1 | no | — |
| 432 | C22×C4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 433 | Q16 | — | 18 | 2 | no | — |
| 434 | Q16 | — | 18 | 2 | no | — |
| 435 | SD16 | — | 18 | 2 | no | — |
| 436 | SD16 | — | 18 | 2 | no | — |
| 437 | SD16 | — | 18 | 2 | no | — |
| 438 | SD16 | — | 18 | 2 | no | — |
| 439 | D8 | — | 18 | 2 | no | — |
| 440 | D8 | — | 18 | 2 | no | — |
| 441 | M16 | — | 2 | 1 | no | — |
| 442 | M16 | — | 9 | 2 | no | — |
| 443 | M16 | — | 18 | 1 | no | — |
| 444 | M16 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 445 | C2×C8 | — | 2 | 1 | no | — |
| 446 | C2×C8 | — | 18 | 1 | no | — |
| 447 | C4⋊C4 | — | 2 | 1 | no | — |
| 448 | C4⋊C4 | — | 18 | 4 | no | — |
| 449 | C22⋊C4 | — | 2 | 1 | no | — |
| 450 | C22⋊C4 | — | 18 | 4 | no | — |
| 451 | C42 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 452 | C22×C3 | — | 2 | 8 | no | — |
| 453 | C22×C3 | — | 4 | 4 | no | — |
| 454 | C22×C3 | — | 4 | 8 | no | — |
| 455 | C22×C3 | #882 | 1 | 4 | yes | — |
| 456 | C22×C3 | #882 | 1 | 4 | yes | — |
| 457 | C22×C3 | C2×D3×D4 | 1 | 4 | yes | — |
| 458 | C2×D3 | — | 6 | 8 | no | — |
| 459 | C2×D3 | — | 12 | 8 | no | — |
| 460 | C2×D3 | — | 12 | 8 | no | — |
| 461 | C2×D3 | — | 12 | 4 | no | — |
| 462 | C3×C4 | — | 2 | 8 | no | — |
| 463 | C3×C4 | — | 4 | 8 | no | — |
| 464 | C3×C4 | #882 | 1 | 4 | yes | — |
| 465 | C3×C4 | #882 | 1 | 4 | yes | — |
| 466 | C3×C4 | C22×D12 | 1 | 4 | yes | — |
| 467 | C3×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 468 | Dic3 | — | 6 | 8 | no | — |
| 469 | Dic3 | — | 6 | 16 | no | — |
| 470 | Dic3 | — | 12 | 4 | no | — |
| 471 | C32 | #3020 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 472 | C23 | — | 2 | 1 | no | — |
| 473 | C23 | — | 18 | 1 | no | — |
| 474 | C23 | — | 18 | 1 | no | — |
| 475 | C23 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 476 | Q8 | — | 2 | 1 | no | — |
| 477 | Q8 | — | 9 | 2 | no | — |
| 478 | Q8 | — | 18 | 8 | no | — |
| 479 | Q8 | — | 18 | 2 | no | — |
| 480 | Q8 | — | 18 | 2 | no | — |
| 481 | Q8 | — | 18 | 1 | no | — |
| 482 | Q8 | — | 18 | 2 | no | — |
| 483 | Q8 | — | 18 | 2 | no | — |
| 484 | Q8 | — | 18 | 1 | no | — |
| 485 | Q8 | — | 18 | 1 | no | — |
| 486 | Q8 | C2×C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 487 | D4 | — | 2 | 2 | no | — |
| 488 | D4 | — | 2 | 2 | no | — |
| 489 | D4 | — | 2 | 1 | no | — |
| 490 | D4 | — | 9 | 2 | no | — |
| 491 | D4 | — | 18 | 8 | no | — |
| 492 | D4 | — | 18 | 2 | no | — |
| 493 | D4 | — | 18 | 2 | no | — |
| 494 | D4 | — | 18 | 1 | no | — |
| 495 | D4 | — | 18 | 1 | no | — |
| 496 | D4 | — | 18 | 1 | no | — |
| 497 | D4 | — | 36 | 1 | no | — |
| 498 | D4 | — | 36 | 1 | no | — |
| 499 | D4 | C2×C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 500 | C2×C4 | — | 2 | 1 | no | — |
| 501 | C2×C4 | — | 2 | 2 | no | — |
| 502 | C2×C4 | — | 2 | 2 | no | — |
| 503 | C2×C4 | — | 2 | 2 | no | — |
| 504 | C2×C4 | — | 9 | 4 | no | — |
| 505 | C2×C4 | — | 18 | 8 | no | — |
| 506 | C2×C4 | — | 18 | 8 | no | — |
| 507 | C2×C4 | — | 18 | 2 | no | — |
| 508 | C2×C4 | — | 18 | 2 | no | — |
| 509 | C2×C4 | — | 18 | 1 | no | — |
| 510 | C2×C4 | — | 18 | 2 | no | — |
| 511 | C2×C4 | — | 18 | 2 | no | — |
| 512 | C2×C4 | — | 18 | 1 | no | — |
| 513 | C2×C4 | — | 36 | 1 | no | — |
| 514 | C2×C4 | — | 36 | 1 | no | — |
| 515 | C2×C4 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 516 | C2×C4 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 517 | C2×C4 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 518 | C2×C4 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 519 | C2×C4 | D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 520 | C2×C4 | C23×C3⋊D3 | 1 | 1 | yes | characteristic |
| 521 | C8 | — | 2 | 2 | no | — |
| 522 | C8 | — | 18 | 2 | no | — |
| 523 | C2×C3 | — | 2 | 4 | no | — |
| 524 | C2×C3 | — | 2 | 4 | no | — |
| 525 | C2×C3 | — | 2 | 4 | no | — |
| 526 | C2×C3 | — | 4 | 8 | no | — |
| 527 | C2×C3 | C2×#882 | 1 | 4 | yes | — |
| 528 | D3 | — | 12 | 8 | no | — |
| 529 | D3 | — | 24 | 4 | no | — |
| 530 | C22 | — | 2 | 2 | no | — |
| 531 | C22 | — | 4 | 1 | no | — |
| 532 | C22 | — | 4 | 2 | no | — |
| 533 | C22 | — | 18 | 2 | no | — |
| 534 | C22 | — | 36 | 2 | no | — |
| 535 | C22 | — | 36 | 2 | no | — |
| 536 | C22 | — | 36 | 1 | no | — |
| 537 | C22 | #64091 | 1 | 1 | yes | characteristic |
| 538 | C22 | #64091 | 1 | 1 | yes | characteristic |
| 539 | C22 | C2×D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 540 | C4 | — | 2 | 2 | no | — |
| 541 | C4 | — | 4 | 2 | no | — |
| 542 | C4 | — | 18 | 4 | no | — |
| 543 | C4 | — | 18 | 2 | no | — |
| 544 | C4 | — | 36 | 1 | no | — |
| 545 | C4 | #64091 | 1 | 1 | yes | characteristic |
| 546 | C4 | #64091 | 1 | 1 | yes | characteristic |
| 547 | C4 | C22×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 548 | C4 | C2×D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 549 | C3 | #78996 | 1 | 4 | yes | complemented |
| 550 | C2 | — | 2 | 1 | no | — |
| 551 | C2 | — | 2 | 1 | no | — |
| 552 | C2 | — | 2 | 1 | no | — |
| 553 | C2 | — | 4 | 2 | no | — |
| 554 | C2 | — | 36 | 2 | no | — |
| 555 | C2 | — | 72 | 1 | no | — |
| 556 | C2 | C2×#64091 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#64367 | C2 | semidirect |
| 2. #10596293 | C2 | semidirect |
| 3. #10596219 | C2 | semidirect |
| 4. #10595997 | C2 | semidirect |
| 5. C32×#421 | C2 | semidirect |
| 6. C2×#63651 | C2 | semidirect |
| 7. #10592704 | C2 | semidirect |
| 8. #10592526 | C2 | semidirect |
| 9. #10592525 | C2 | semidirect |
| 26. #64160 | C22 | semidirect |
| 28. #64158 | C22 | semidirect |
| 33. #64118 | C22 | semidirect |
| 35. #64117 | C22 | semidirect |
| 39. #64084 | C22 | semidirect |
| 40. #64078 | C22 | semidirect |
| 41. C32×#104 | C22 | semidirect |
| 42. #63651 | C22 | semidirect |
| 43. #63632 | C22 | semidirect |
| 48. C3×#421 | D3 | semidirect |
| 149. C3×#104 | C2×D3 | semidirect |
| 210. #421 | C3⋊D3 | semidirect |
| 327. #104 | C2×C3⋊D3 | semidirect |
| 471. C32 | #3020 | semidirect |
| 549. C3 | #78996 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64367 | 2 |
| #10596293 | 2 |
| #10596219 | 2 |
| #10595997 | 2 |
| C32×#421 | 2 |
| C2×#63651 | 2 |
| #10592704 | 2 |
| #10592526 | 2 |
| #10592525 | 2 |
| #78996 | 3 |