Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1201 conjugacy classes of subgroups.
The subgroup lattice has 549 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#64117 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10595042 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10594996 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C22×#3714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#5119 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10591105 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10590860 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10590765 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #79086 | — | 3 | 1 | no | maximal |
| 11 | #78944 | — | 3 | 1 | no | maximal |
| 12 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 13 | C22×C4⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic |
| 14 | C22×C3×D12 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic |
| 16 | #64117 | — | 2 | 4 | no | — |
| 17 | C2×#3745 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#3744 | C22 | 1 | 2 | yes | complemented |
| 19 | C3×#926 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#926 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×C3×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 22 | #63977 | — | 2 | 2 | no | — |
| 23 | #63974 | — | 2 | 2 | no | — |
| 24 | #63916 | — | 2 | 2 | no | — |
| 25 | #63911 | C22 | 1 | 2 | yes | complemented |
| 26 | #63894 | — | 2 | 2 | no | — |
| 27 | #63894 | C22 | 1 | 4 | yes | complemented |
| 28 | #63860 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×#3714 | — | 2 | 4 | no | — |
| 30 | C2×#3714 | C22 | 1 | 4 | yes | — |
| 31 | C3×#821 | C22 | 1 | 4 | yes | complemented |
| 32 | C3×Dic3⋊C8 | C22 | 1 | 4 | yes | complemented |
| 33 | #63567 | C22 | 1 | 2 | yes | complemented |
| 34 | #63564 | C22 | 1 | 2 | yes | complemented |
| 35 | #5805 | — | 3 | 1 | no | — |
| 36 | C22×#213 | — | 3 | 1 | no | — |
| 37 | C2×#908 | — | 3 | 1 | no | — |
| 38 | C2×#908 | — | 3 | 1 | no | — |
| 39 | C2×#908 | — | 6 | 1 | no | — |
| 40 | C22×D24 | — | 3 | 1 | no | — |
| 41 | #5525 | — | 3 | 1 | no | — |
| 42 | #5521 | — | 3 | 1 | no | — |
| 43 | #5521 | — | 3 | 1 | no | — |
| 44 | C3×#424 | — | 3 | 1 | no | — |
| 45 | C3×#418 | — | 3 | 1 | no | — |
| 46 | #5131 | D3 | 1 | 1 | yes | characteristic, complemented |
| 47 | #5119 | D3 | 1 | 1 | yes | characteristic, complemented |
| 48 | #5113 | — | 3 | 1 | no | — |
| 49 | #5002 | — | 3 | 1 | no | — |
| 50 | #4844 | — | 3 | 4 | no | — |
| 51 | #4843 | — | 3 | 4 | no | — |
| 52 | #4787 | — | 3 | 4 | no | — |
| 53 | #4786 | — | 3 | 4 | no | — |
| 54 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 55 | C23×C3×D3 | — | 2 | 1 | no | — |
| 56 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×#638 | — | 2 | 1 | no | — |
| 58 | #3828 | — | 2 | 2 | no | — |
| 59 | #3828 | — | 2 | 2 | no | — |
| 60 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 61 | C2×C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 62 | C2×C4⋊(C3⋊D3) | D4 | 1 | 4 | yes | complemented |
| 63 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 65 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 66 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×C3×D12 | — | 2 | 2 | no | — |
| 68 | C2×C3×D12 | — | 2 | 2 | no | — |
| 69 | C2×C3×D12 | — | 2 | 1 | no | — |
| 70 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 71 | C2×#626 | — | 2 | 4 | no | — |
| 72 | C2×#624 | — | 2 | 4 | no | — |
| 73 | C32×M16 | — | 2 | 2 | no | — |
| 74 | C2×C32×C8 | C23 | 1 | 2 | yes | — |
| 75 | #3745 | — | 2 | 4 | no | — |
| 76 | #3744 | — | 2 | 4 | no | — |
| 77 | C3×#217 | — | 2 | 1 | no | — |
| 78 | C3×#217 | D4 | 1 | 2 | yes | — |
| 79 | C3×C4⋊Dic3 | D4 | 1 | 2 | yes | — |
| 80 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 81 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 82 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 83 | C2×C3×C3⋊C8 | — | 2 | 2 | no | — |
| 84 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 85 | #3722 | — | 2 | 4 | no | — |
| 86 | (C2×D3)⋊Dic3 | — | 2 | 4 | no | — |
| 87 | #3714 | — | 2 | 8 | no | — |
| 88 | #3041 | — | 9 | 1 | no | Sylow |
| 89 | C22×C3×D4 | — | 3 | 1 | no | — |
| 90 | C2×#235 | — | 3 | 1 | no | — |
| 91 | C2×#235 | — | 3 | 1 | no | — |
| 92 | C2×#235 | — | 6 | 1 | no | — |
| 93 | C22×D12 | — | 3 | 1 | no | — |
| 94 | C22×D12 | — | 3 | 1 | no | — |
| 95 | C22×D12 | — | 6 | 1 | no | — |
| 96 | C22×D12 | C2×D3 | 1 | 1 | yes | characteristic |
| 97 | C2×C3×M16 | — | 2 | 1 | no | — |
| 98 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 99 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 100 | C22×C3×C8 | — | 3 | 1 | no | — |
| 101 | C3×#117 | — | 3 | 1 | no | — |
| 102 | C3×#117 | — | 3 | 1 | no | — |
| 103 | #953 | — | 6 | 2 | no | — |
| 104 | #940 | — | 3 | 2 | no | — |
| 105 | #938 | — | 6 | 2 | no | — |
| 106 | #936 | — | 3 | 2 | no | — |
| 107 | C2×#213 | — | 3 | 4 | no | — |
| 108 | C2×#213 | — | 6 | 4 | no | — |
| 109 | #926 | C2×D3 | 1 | 1 | yes | characteristic |
| 110 | #926 | C2×D3 | 1 | 1 | yes | characteristic |
| 111 | C22×C3⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 112 | #908 | — | 6 | 4 | no | — |
| 113 | #908 | — | 6 | 4 | no | — |
| 114 | #908 | — | 6 | 8 | no | — |
| 115 | C2×D24 | — | 3 | 4 | no | — |
| 116 | C2×D24 | — | 3 | 2 | no | — |
| 117 | C2×D24 | — | 3 | 2 | no | — |
| 118 | C2×D24 | — | 6 | 2 | no | — |
| 119 | C2×D24 | — | 6 | 4 | no | — |
| 120 | C2×#204 | — | 3 | 2 | no | — |
| 121 | C2×#204 | — | 3 | 2 | no | — |
| 122 | C2×#204 | — | 6 | 2 | no | — |
| 123 | #895 | — | 6 | 2 | no | — |
| 124 | #893 | — | 3 | 4 | no | — |
| 125 | #893 | — | 6 | 2 | no | — |
| 126 | #882 | — | 6 | 2 | no | — |
| 127 | D3×C22⋊C4 | — | 6 | 2 | no | — |
| 128 | D3×C22⋊C4 | — | 6 | 2 | no | — |
| 129 | #875 | — | 3 | 2 | no | — |
| 130 | #874 | — | 3 | 2 | no | — |
| 131 | C4×D12 | — | 3 | 4 | no | — |
| 132 | C4×D12 | — | 6 | 2 | no | — |
| 133 | C3×C4⋊C8 | — | 3 | 4 | no | — |
| 134 | C3×#102 | — | 3 | 4 | no | — |
| 135 | #821 | — | 3 | 2 | no | — |
| 136 | #821 | C2×D3 | 1 | 4 | yes | complemented |
| 137 | #816 | — | 3 | 2 | no | — |
| 138 | Dic3⋊C8 | C2×D3 | 1 | 4 | yes | complemented |
| 139 | #810 | — | 3 | 2 | no | — |
| 140 | #809 | — | 3 | 2 | no | — |
| 141 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 142 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 143 | C22×C3⋊D3 | — | 2 | 4 | no | — |
| 144 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 145 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 146 | C22×C3×D3 | — | 2 | 2 | no | — |
| 147 | C22×C3×D3 | — | 4 | 2 | no | — |
| 148 | C22×C3×D3 | — | 8 | 2 | no | — |
| 149 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 150 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 151 | C2×C32×C4 | #41 | 1 | 2 | yes | — |
| 152 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 153 | #638 | — | 4 | 2 | no | — |
| 154 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 155 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 156 | C4⋊(C3⋊D3) | — | 2 | 4 | no | — |
| 157 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 158 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 159 | C4⋊(C3⋊D3) | C2×D4 | 1 | 4 | yes | — |
| 160 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 161 | #634 | — | 2 | 1 | no | — |
| 162 | #634 | — | 2 | 1 | no | — |
| 163 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 164 | C2×C3×Dic3 | C2×D4 | 1 | 4 | yes | — |
| 165 | C3×D12 | — | 2 | 2 | no | — |
| 166 | C3×D12 | — | 2 | 2 | no | — |
| 167 | C3×D12 | — | 4 | 2 | no | — |
| 168 | #626 | — | 8 | 4 | no | — |
| 169 | #624 | — | 8 | 4 | no | — |
| 170 | C32×C8 | — | 2 | 2 | no | — |
| 171 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 172 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 173 | C22×D8 | — | 9 | 1 | no | — |
| 174 | #535 | — | 9 | 1 | no | — |
| 175 | #518 | — | 9 | 1 | no | — |
| 176 | #463 | — | 9 | 4 | no | — |
| 177 | #459 | — | 9 | 4 | no | — |
| 178 | #424 | — | 3 | 1 | no | — |
| 179 | #418 | — | 3 | 1 | no | — |
| 180 | #416 | — | 9 | 1 | no | — |
| 181 | C24×C3 | — | 6 | 1 | no | — |
| 182 | C23×D3 | — | 2 | 1 | no | — |
| 183 | C23×D3 | — | 6 | 1 | no | — |
| 184 | C23×D3 | — | 6 | 1 | no | — |
| 185 | C23×D3 | — | 12 | 1 | no | — |
| 186 | C2×C3×D4 | — | 3 | 2 | no | — |
| 187 | C2×C3×D4 | — | 6 | 1 | no | — |
| 188 | C2×C3×D4 | — | 6 | 2 | no | — |
| 189 | C2×C3×D4 | — | 6 | 2 | no | — |
| 190 | C22×C3×C4 | — | 2 | 1 | no | — |
| 191 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 192 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 193 | C2×#67 | — | 6 | 1 | no | — |
| 194 | C2×#67 | — | 6 | 1 | no | — |
| 195 | C2×#67 | — | 6 | 4 | no | — |
| 196 | C2×#67 | — | 12 | 1 | no | — |
| 197 | #235 | — | 6 | 4 | no | — |
| 198 | #235 | — | 6 | 2 | no | — |
| 199 | #235 | — | 6 | 2 | no | — |
| 200 | #235 | — | 6 | 2 | no | — |
| 201 | #235 | — | 6 | 2 | no | — |
| 202 | #235 | — | 12 | 2 | no | — |
| 203 | C2×D12 | — | 2 | 2 | no | — |
| 204 | C2×D12 | — | 2 | 2 | no | — |
| 205 | C2×D12 | — | 2 | 1 | no | — |
| 206 | C2×D12 | — | 3 | 4 | no | — |
| 207 | C2×D12 | — | 3 | 4 | no | — |
| 208 | C2×D12 | — | 3 | 2 | no | — |
| 209 | C2×D12 | — | 3 | 2 | no | — |
| 210 | C2×D12 | — | 3 | 1 | no | — |
| 211 | C2×D12 | — | 3 | 1 | no | — |
| 212 | C2×D12 | — | 6 | 2 | no | — |
| 213 | C2×D12 | — | 6 | 1 | no | — |
| 214 | C2×D12 | — | 6 | 4 | no | — |
| 215 | C2×D12 | — | 6 | 1 | no | — |
| 216 | C2×D12 | — | 6 | 2 | no | — |
| 217 | C2×D12 | — | 6 | 1 | no | — |
| 218 | C2×D12 | — | 6 | 2 | no | — |
| 219 | C2×D12 | — | 6 | 4 | no | — |
| 220 | C2×D12 | — | 12 | 2 | no | — |
| 221 | C2×D12 | — | 12 | 1 | no | — |
| 222 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 223 | C2×C4×D3 | — | 6 | 1 | no | — |
| 224 | C2×C4×D3 | — | 6 | 1 | no | — |
| 225 | C2×C4×D3 | — | 6 | 4 | no | — |
| 226 | C2×C4×D3 | — | 6 | 4 | no | — |
| 227 | C2×C4×D3 | — | 12 | 1 | no | — |
| 228 | C2×Dic6 | — | 3 | 1 | no | — |
| 229 | C2×Dic6 | — | 3 | 1 | no | — |
| 230 | C2×Dic6 | — | 6 | 1 | no | — |
| 231 | C3×M16 | — | 2 | 4 | no | — |
| 232 | C3×M16 | — | 2 | 2 | no | — |
| 233 | C3×M16 | — | 2 | 2 | no | — |
| 234 | C2×C3×C8 | — | 2 | 2 | no | — |
| 235 | C2×C3×C8 | — | 3 | 2 | no | — |
| 236 | C2×C3×C8 | — | 6 | 2 | no | — |
| 237 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 238 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 239 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 240 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 241 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 242 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 243 | C3×C42 | — | 3 | 2 | no | — |
| 244 | C3×C42 | — | 6 | 1 | no | — |
| 245 | #217 | — | 2 | 1 | no | — |
| 246 | #217 | — | 6 | 4 | no | — |
| 247 | #217 | D12 | 1 | 2 | yes | — |
| 248 | #213 | — | 6 | 8 | no | — |
| 249 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 250 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 251 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 252 | C4⋊Dic3 | D12 | 1 | 2 | yes | — |
| 253 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 254 | C4×Dic3 | — | 2 | 1 | no | — |
| 255 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 256 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 257 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 258 | D24 | — | 6 | 4 | no | — |
| 259 | D24 | — | 6 | 4 | no | — |
| 260 | D24 | — | 6 | 8 | no | — |
| 261 | D24 | — | 6 | 8 | no | — |
| 262 | #204 | — | 6 | 4 | no | — |
| 263 | #204 | — | 6 | 4 | no | — |
| 264 | #204 | — | 6 | 8 | no | — |
| 265 | C22×C32 | — | 2 | 2 | no | — |
| 266 | C22×C32 | #121 | 1 | 2 | yes | — |
| 267 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 268 | C2×C3⋊D3 | — | 2 | 4 | no | — |
| 269 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 270 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 271 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 272 | C2×C3⋊D3 | — | 8 | 4 | no | — |
| 273 | C2×C3×D3 | — | 4 | 2 | no | — |
| 274 | C2×C3×D3 | — | 4 | 4 | no | — |
| 275 | C2×C3×D3 | — | 8 | 4 | no | — |
| 276 | C32×C4 | #121 | 1 | 2 | yes | — |
| 277 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 278 | C32×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 279 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 280 | C3×Dic3 | — | 2 | 4 | no | — |
| 281 | C3×Dic3 | — | 4 | 2 | no | — |
| 282 | C2×#41 | — | 9 | 1 | no | — |
| 283 | C22×D4 | — | 3 | 1 | no | — |
| 284 | C22×D4 | — | 9 | 1 | no | — |
| 285 | AGL(1,ℤ/8) | — | 18 | 4 | no | — |
| 286 | C2×SD16 | — | 9 | 2 | no | — |
| 287 | C2×D8 | — | 9 | 4 | no | — |
| 288 | C2×D8 | — | 9 | 2 | no | — |
| 289 | C2×D8 | — | 18 | 4 | no | — |
| 290 | C2×M16 | D32 | 1 | 1 | yes | characteristic |
| 291 | C22×C8 | — | 3 | 1 | no | — |
| 292 | #127 | — | 9 | 2 | no | — |
| 293 | #124 | — | 9 | 2 | no | — |
| 294 | #121 | — | 18 | 2 | no | — |
| 295 | #120 | — | 18 | 2 | no | — |
| 296 | C4×D4 | — | 9 | 4 | no | — |
| 297 | C4×D4 | — | 18 | 2 | no | — |
| 298 | #117 | — | 3 | 1 | no | — |
| 299 | #117 | — | 3 | 1 | no | — |
| 300 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 301 | C4⋊C8 | — | 3 | 4 | no | — |
| 302 | #103 | — | 9 | 2 | no | — |
| 303 | #102 | — | 3 | 4 | no | — |
| 304 | #102 | — | 9 | 2 | no | — |
| 305 | C23×C3 | — | 2 | 1 | no | — |
| 306 | C23×C3 | — | 6 | 2 | no | — |
| 307 | C23×C3 | — | 12 | 2 | no | — |
| 308 | C23×C3 | — | 24 | 2 | no | — |
| 309 | C23×C3 | C2×D12 | 1 | 1 | yes | characteristic |
| 310 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 311 | C22×D3 | — | 2 | 2 | no | — |
| 312 | C22×D3 | — | 4 | 2 | no | — |
| 313 | C22×D3 | — | 6 | 2 | no | — |
| 314 | C22×D3 | — | 6 | 2 | no | — |
| 315 | C22×D3 | — | 6 | 4 | no | — |
| 316 | C22×D3 | — | 6 | 4 | no | — |
| 317 | C22×D3 | — | 6 | 1 | no | — |
| 318 | C22×D3 | — | 6 | 1 | no | — |
| 319 | C22×D3 | — | 8 | 2 | no | — |
| 320 | C22×D3 | — | 12 | 1 | no | — |
| 321 | C22×D3 | — | 12 | 2 | no | — |
| 322 | C22×D3 | — | 12 | 4 | no | — |
| 323 | C22×D3 | — | 24 | 2 | no | — |
| 324 | C22×D3 | — | 24 | 2 | no | — |
| 325 | C22×D3 | — | 24 | 4 | no | — |
| 326 | C3×D4 | — | 6 | 2 | no | — |
| 327 | C3×D4 | — | 6 | 2 | no | — |
| 328 | C3×D4 | — | 12 | 2 | no | — |
| 329 | C2×C3×C4 | — | 2 | 1 | no | — |
| 330 | C2×C3×C4 | — | 2 | 2 | no | — |
| 331 | C2×C3×C4 | — | 2 | 1 | no | — |
| 332 | C2×C3×C4 | — | 2 | 2 | no | — |
| 333 | C2×C3×C4 | — | 3 | 4 | no | — |
| 334 | C2×C3×C4 | — | 6 | 2 | no | — |
| 335 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 336 | C2×C3×C4 | #235 | 1 | 2 | yes | — |
| 337 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 338 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 339 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 340 | C2×C3×C4 | #239 | 1 | 2 | yes | — |
| 341 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 342 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 343 | #67 | — | 12 | 4 | no | — |
| 344 | #67 | — | 12 | 2 | no | — |
| 345 | #67 | — | 12 | 2 | no | — |
| 346 | #67 | — | 24 | 4 | no | — |
| 347 | C2×Dic3 | — | 2 | 2 | no | — |
| 348 | C2×Dic3 | — | 6 | 1 | no | — |
| 349 | C2×Dic3 | — | 6 | 1 | no | — |
| 350 | C2×Dic3 | — | 12 | 1 | no | — |
| 351 | C2×Dic3 | C2×D12 | 1 | 4 | yes | — |
| 352 | D12 | — | 2 | 2 | no | — |
| 353 | D12 | — | 2 | 2 | no | — |
| 354 | D12 | — | 3 | 4 | no | — |
| 355 | D12 | — | 3 | 4 | no | — |
| 356 | D12 | — | 4 | 2 | no | — |
| 357 | D12 | — | 6 | 4 | no | — |
| 358 | D12 | — | 6 | 2 | no | — |
| 359 | D12 | — | 6 | 4 | no | — |
| 360 | D12 | — | 6 | 4 | no | — |
| 361 | D12 | — | 6 | 2 | no | — |
| 362 | D12 | — | 6 | 1 | no | — |
| 363 | D12 | — | 6 | 1 | no | — |
| 364 | D12 | — | 6 | 1 | no | — |
| 365 | D12 | — | 6 | 2 | no | — |
| 366 | D12 | — | 6 | 1 | no | — |
| 367 | D12 | — | 12 | 2 | no | — |
| 368 | D12 | — | 12 | 4 | no | — |
| 369 | D12 | — | 12 | 1 | no | — |
| 370 | D12 | — | 24 | 4 | no | — |
| 371 | C4×D3 | — | 12 | 4 | no | — |
| 372 | C4×D3 | — | 12 | 2 | no | — |
| 373 | C4×D3 | — | 12 | 2 | no | — |
| 374 | C4×D3 | — | 24 | 4 | no | — |
| 375 | C4×D3 | — | 24 | 4 | no | — |
| 376 | Dic6 | — | 6 | 2 | no | — |
| 377 | Dic6 | — | 6 | 1 | no | — |
| 378 | Dic6 | — | 6 | 1 | no | — |
| 379 | Dic6 | — | 6 | 1 | no | — |
| 380 | Dic6 | — | 6 | 1 | no | — |
| 381 | Dic6 | — | 12 | 1 | no | — |
| 382 | C3×C8 | — | 2 | 4 | no | — |
| 383 | C3×C8 | — | 2 | 2 | no | — |
| 384 | C3×C8 | — | 2 | 2 | no | — |
| 385 | C3×C8 | — | 6 | 2 | no | — |
| 386 | C3⋊C8 | — | 2 | 2 | no | — |
| 387 | C2×C32 | — | 2 | 2 | no | — |
| 388 | C2×C32 | C2×#121 | 1 | 1 | yes | characteristic |
| 389 | C2×C32 | #576 | 1 | 2 | yes | — |
| 390 | C3⋊D3 | — | 4 | 4 | no | — |
| 391 | C3⋊D3 | — | 8 | 1 | no | — |
| 392 | C3×D3 | — | 8 | 2 | no | — |
| 393 | C24 | — | 6 | 1 | no | — |
| 394 | C24 | — | 18 | 1 | no | — |
| 395 | #41 | — | 18 | 2 | no | — |
| 396 | #41 | — | 18 | 2 | no | — |
| 397 | C2×Q8 | — | 9 | 1 | no | — |
| 398 | C2×D4 | — | 3 | 2 | no | — |
| 399 | C2×D4 | — | 6 | 2 | no | — |
| 400 | C2×D4 | — | 6 | 1 | no | — |
| 401 | C2×D4 | — | 6 | 2 | no | — |
| 402 | C2×D4 | — | 9 | 2 | no | — |
| 403 | C2×D4 | — | 9 | 1 | no | — |
| 404 | C2×D4 | — | 9 | 4 | no | — |
| 405 | C2×D4 | — | 18 | 4 | no | — |
| 406 | C2×D4 | — | 18 | 1 | no | — |
| 407 | C2×D4 | — | 18 | 2 | no | — |
| 408 | C2×D4 | — | 18 | 1 | no | — |
| 409 | C22×C4 | — | 18 | 4 | no | — |
| 410 | C22×C4 | — | 18 | 1 | no | — |
| 411 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 412 | SD16 | — | 18 | 4 | no | — |
| 413 | D8 | — | 18 | 4 | no | — |
| 414 | D8 | — | 18 | 8 | no | — |
| 415 | M16 | — | 2 | 2 | no | — |
| 416 | C2×C8 | — | 3 | 2 | no | — |
| 417 | C2×C8 | — | 6 | 2 | no | — |
| 418 | C2×C8 | C2×D32 | 1 | 2 | yes | — |
| 419 | C4⋊C4 | — | 3 | 2 | no | — |
| 420 | C4⋊C4 | — | 3 | 2 | no | — |
| 421 | C22⋊C4 | — | 3 | 2 | no | — |
| 422 | C22⋊C4 | — | 6 | 1 | no | — |
| 423 | C22⋊C4 | — | 18 | 4 | no | — |
| 424 | C22⋊C4 | — | 18 | 4 | no | — |
| 425 | C42 | — | 3 | 2 | no | — |
| 426 | C42 | — | 6 | 1 | no | — |
| 427 | C22×C3 | — | 2 | 2 | no | — |
| 428 | C22×C3 | — | 2 | 2 | no | — |
| 429 | C22×C3 | — | 2 | 1 | no | — |
| 430 | C22×C3 | — | 2 | 2 | no | — |
| 431 | C22×C3 | — | 4 | 2 | no | — |
| 432 | C22×C3 | — | 12 | 4 | no | — |
| 433 | C22×C3 | — | 12 | 2 | no | — |
| 434 | C22×C3 | — | 24 | 4 | no | — |
| 435 | C22×C3 | #884 | 1 | 2 | yes | — |
| 436 | C22×C3 | #895 | 1 | 2 | yes | — |
| 437 | C22×C3 | C22×D12 | 1 | 1 | yes | characteristic |
| 438 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 439 | C2×D3 | — | 4 | 2 | no | — |
| 440 | C2×D3 | — | 4 | 4 | no | — |
| 441 | C2×D3 | — | 6 | 4 | no | — |
| 442 | C2×D3 | — | 6 | 4 | no | — |
| 443 | C2×D3 | — | 8 | 4 | no | — |
| 444 | C2×D3 | — | 12 | 4 | no | — |
| 445 | C2×D3 | — | 12 | 4 | no | — |
| 446 | C2×D3 | — | 12 | 4 | no | — |
| 447 | C2×D3 | — | 12 | 2 | no | — |
| 448 | C2×D3 | — | 12 | 1 | no | — |
| 449 | C2×D3 | — | 12 | 2 | no | — |
| 450 | C2×D3 | — | 12 | 1 | no | — |
| 451 | C2×D3 | — | 12 | 2 | no | — |
| 452 | C2×D3 | — | 24 | 4 | no | — |
| 453 | C2×D3 | — | 24 | 2 | no | — |
| 454 | C2×D3 | — | 24 | 4 | no | — |
| 455 | C2×D3 | — | 24 | 4 | no | — |
| 456 | C2×D3 | — | 24 | 8 | no | — |
| 457 | C3×C4 | — | 2 | 1 | no | — |
| 458 | C3×C4 | — | 2 | 1 | no | — |
| 459 | C3×C4 | — | 2 | 2 | no | — |
| 460 | C3×C4 | — | 6 | 4 | no | — |
| 461 | C3×C4 | — | 12 | 2 | no | — |
| 462 | C3×C4 | #884 | 1 | 2 | yes | — |
| 463 | C3×C4 | #895 | 1 | 2 | yes | — |
| 464 | C3×C4 | C2×#235 | 1 | 1 | yes | characteristic |
| 465 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 466 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 467 | C3×C4 | C2×#239 | 1 | 1 | yes | characteristic |
| 468 | Dic3 | — | 2 | 4 | no | — |
| 469 | Dic3 | — | 4 | 2 | no | — |
| 470 | Dic3 | — | 12 | 2 | no | — |
| 471 | Dic3 | — | 12 | 1 | no | — |
| 472 | Dic3 | — | 12 | 1 | no | — |
| 473 | C32 | #3041 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 474 | C23 | — | 6 | 2 | no | — |
| 475 | C23 | — | 12 | 2 | no | — |
| 476 | C23 | — | 18 | 2 | no | — |
| 477 | C23 | — | 18 | 4 | no | — |
| 478 | C23 | — | 18 | 1 | no | — |
| 479 | C23 | — | 24 | 2 | no | — |
| 480 | C23 | — | 72 | 2 | no | — |
| 481 | C23 | D3×D12 | 1 | 1 | yes | characteristic |
| 482 | Q8 | — | 18 | 1 | no | — |
| 483 | Q8 | — | 18 | 1 | no | — |
| 484 | D4 | — | 6 | 2 | no | — |
| 485 | D4 | — | 6 | 2 | no | — |
| 486 | D4 | — | 9 | 4 | no | — |
| 487 | D4 | — | 12 | 2 | no | — |
| 488 | D4 | — | 18 | 2 | no | — |
| 489 | D4 | — | 18 | 1 | no | — |
| 490 | D4 | — | 18 | 1 | no | — |
| 491 | D4 | — | 18 | 4 | no | — |
| 492 | D4 | — | 36 | 2 | no | — |
| 493 | D4 | — | 72 | 4 | no | — |
| 494 | C2×C4 | — | 3 | 4 | no | — |
| 495 | C2×C4 | — | 6 | 2 | no | — |
| 496 | C2×C4 | — | 18 | 1 | no | — |
| 497 | C2×C4 | — | 36 | 2 | no | — |
| 498 | C2×C4 | — | 72 | 4 | no | — |
| 499 | C2×C4 | #3799 | 1 | 2 | yes | — |
| 500 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 501 | C2×C4 | #3811 | 1 | 2 | yes | — |
| 502 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 503 | C8 | — | 2 | 2 | no | — |
| 504 | C8 | — | 6 | 2 | no | — |
| 505 | C2×C3 | — | 2 | 2 | no | — |
| 506 | C2×C3 | — | 2 | 2 | no | — |
| 507 | C2×C3 | — | 2 | 2 | no | — |
| 508 | C2×C3 | — | 2 | 1 | no | — |
| 509 | C2×C3 | — | 4 | 2 | no | — |
| 510 | C2×C3 | — | 24 | 2 | no | — |
| 511 | C2×C3 | C2×#884 | 1 | 1 | yes | characteristic |
| 512 | C2×C3 | C2×#895 | 1 | 1 | yes | characteristic |
| 513 | C2×C3 | #5752 | 1 | 2 | yes | — |
| 514 | C2×C3 | #5774 | 1 | 2 | yes | — |
| 515 | D3 | — | 8 | 2 | no | — |
| 516 | D3 | — | 12 | 4 | no | — |
| 517 | D3 | — | 12 | 4 | no | — |
| 518 | D3 | — | 24 | 4 | no | — |
| 519 | D3 | — | 24 | 2 | no | — |
| 520 | D3 | — | 24 | 1 | no | — |
| 521 | D3 | — | 24 | 1 | no | — |
| 522 | C22 | — | 2 | 2 | no | — |
| 523 | C22 | — | 12 | 4 | no | — |
| 524 | C22 | — | 12 | 2 | no | — |
| 525 | C22 | — | 18 | 4 | no | — |
| 526 | C22 | — | 24 | 4 | no | — |
| 527 | C22 | — | 36 | 4 | no | — |
| 528 | C22 | — | 36 | 2 | no | — |
| 529 | C22 | — | 36 | 1 | no | — |
| 530 | C22 | — | 72 | 4 | no | — |
| 531 | C22 | #63910 | 1 | 2 | yes | — |
| 532 | C22 | C2×D3×D12 | 1 | 1 | yes | characteristic |
| 533 | C4 | — | 6 | 4 | no | — |
| 534 | C4 | — | 12 | 2 | no | — |
| 535 | C4 | — | 36 | 1 | no | — |
| 536 | C4 | #63910 | 1 | 2 | yes | — |
| 537 | C4 | C2×#3799 | 1 | 1 | yes | characteristic |
| 538 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 539 | C3 | — | 2 | 1 | no | — |
| 540 | C3 | #78944 | 1 | 1 | yes | characteristic, complemented |
| 541 | C3 | #79086 | 1 | 1 | yes | characteristic, complemented |
| 542 | C2 | — | 2 | 2 | no | — |
| 543 | C2 | — | 24 | 2 | no | — |
| 544 | C2 | — | 36 | 4 | no | — |
| 545 | C2 | — | 72 | 1 | no | — |
| 546 | C2 | #10594714 | 1 | 2 | yes | — |
| 547 | C2 | C2×#63910 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#64117 | C2 | semidirect |
| 2. #10595042 | C2 | semidirect |
| 3. #10594996 | C2 | semidirect |
| 4. C22×#3714 | C2 | semidirect |
| 5. C3×#5131 | C2 | semidirect |
| 6. C3×#5119 | C2 | semidirect |
| 7. #10591105 | C2 | semidirect |
| 8. #10590860 | C2 | semidirect |
| 9. #10590765 | C2 | semidirect |
| 17. C2×#3745 | C22 | semidirect |
| 18. C2×#3744 | C22 | semidirect |
| 25. #63911 | C22 | semidirect |
| 27. #63894 | C22 | semidirect |
| 28. #63860 | C22 | semidirect |
| 31. C3×#821 | C22 | semidirect |
| 32. C3×Dic3⋊C8 | C22 | semidirect |
| 33. #63567 | C22 | semidirect |
| 34. #63564 | C22 | semidirect |
| 46. #5131 | D3 | semidirect |
| 47. #5119 | D3 | semidirect |
| 62. C2×C4⋊(C3⋊D3) | D4 | semidirect |
| 136. #821 | C2×D3 | semidirect |
| 138. Dic3⋊C8 | C2×D3 | semidirect |
| 473. C32 | #3041 | semidirect |
| 540. C3 | #78944 | semidirect |
| 541. C3 | #79086 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64117 | 2 |
| #10595042 | 2 |
| #10594996 | 2 |
| C22×#3714 | 2 |
| C3×#5131 | 2 |
| C3×#5119 | 2 |
| #10591105 | 2 |
| #10590860 | 2 |
| #10590765 | 2 |
| #79086 | 3 |
| #78944 | 3 |