Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2232 conjugacy classes of subgroups.
The subgroup lattice has 954 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86247 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5577 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#3112 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83302 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #82443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #81300 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #81299 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #81124 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81120 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #80405 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #80394 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #80040 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #80038 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79799 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #79796 | C2 | 1 | 4 | yes | maximal, complemented |
| 16 | #79353 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #79336 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #61605 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C22×#239 | C22 | 1 | 2 | yes | complemented |
| 20 | C3×#532 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #5829 | — | 2 | 2 | no | — |
| 23 | C2×#916 | C22 | 1 | 4 | yes | complemented |
| 24 | C2×#914 | C22 | 1 | 4 | yes | complemented |
| 25 | #5734 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #5730 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #5718 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #5717 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #5678 | — | 2 | 2 | no | — |
| 30 | #5618 | — | 2 | 1 | no | — |
| 31 | #5609 | — | 2 | 1 | no | — |
| 32 | #5606 | C22 | 1 | 2 | yes | — |
| 33 | D3×#121 | C22 | 1 | 2 | yes | — |
| 34 | #5577 | — | 2 | 1 | no | — |
| 35 | #5577 | — | 2 | 2 | no | — |
| 36 | #5577 | — | 2 | 1 | no | — |
| 37 | #5577 | C22 | 1 | 2 | yes | — |
| 38 | #5577 | C22 | 1 | 2 | yes | complemented |
| 39 | #5577 | C22 | 1 | 4 | yes | complemented |
| 40 | #5562 | — | 2 | 1 | no | — |
| 41 | #5558 | C22 | 1 | 2 | yes | complemented |
| 42 | #5554 | C22 | 1 | 2 | yes | complemented |
| 43 | #5545 | — | 2 | 1 | no | — |
| 44 | C2×#895 | — | 2 | 2 | no | — |
| 45 | C2×#895 | C22 | 1 | 2 | yes | complemented |
| 46 | #5479 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#874 | — | 2 | 1 | no | — |
| 48 | C2×#874 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×C4×D12 | — | 2 | 1 | no | — |
| 50 | C2×C4×D12 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#480 | C22 | 1 | 2 | yes | complemented |
| 52 | C3×#477 | C22 | 1 | 2 | yes | complemented |
| 53 | C3×#460 | C22 | 1 | 2 | yes | complemented |
| 54 | C3×#448 | C22 | 1 | 2 | yes | complemented |
| 55 | C3×#440 | C22 | 1 | 4 | yes | complemented |
| 56 | C3×#432 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #5228 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #5227 | C22 | 1 | 1 | yes | characteristic |
| 59 | #5172 | C22 | 1 | 4 | yes | complemented |
| 60 | #5172 | C22 | 1 | 4 | yes | complemented |
| 61 | #5088 | C22 | 1 | 2 | yes | complemented |
| 62 | #5073 | C22 | 1 | 2 | yes | complemented |
| 63 | #5036 | C22 | 1 | 2 | yes | complemented |
| 64 | #5036 | C22 | 1 | 2 | yes | complemented |
| 65 | C4×#216 | C22 | 1 | 2 | yes | complemented |
| 66 | #5028 | C22 | 1 | 2 | yes | complemented |
| 67 | C4×#215 | C22 | 1 | 2 | yes | complemented |
| 68 | #5022 | C22 | 1 | 2 | yes | complemented |
| 69 | #5015 | C22 | 1 | 4 | yes | complemented |
| 70 | #4971 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #4967 | C22 | 1 | 1 | yes | characteristic |
| 72 | #4925 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #4886 | C22 | 1 | 4 | yes | complemented |
| 74 | #4885 | C22 | 1 | 4 | yes | complemented |
| 75 | #4883 | C22 | 1 | 4 | yes | complemented |
| 76 | #4882 | C22 | 1 | 4 | yes | complemented |
| 77 | #4848 | C22 | 1 | 2 | yes | complemented |
| 78 | #4843 | C22 | 1 | 2 | yes | complemented |
| 79 | #4838 | C22 | 1 | 2 | yes | complemented |
| 80 | #4834 | C22 | 1 | 2 | yes | complemented |
| 81 | #4810 | C22 | 1 | 4 | yes | complemented |
| 82 | #4808 | C22 | 1 | 4 | yes | complemented |
| 83 | #4804 | C22 | 1 | 4 | yes | complemented |
| 84 | #4803 | C22 | 1 | 4 | yes | complemented |
| 85 | #4782 | C22 | 1 | 4 | yes | complemented |
| 86 | #4781 | C22 | 1 | 4 | yes | complemented |
| 87 | #4775 | C22 | 1 | 4 | yes | complemented |
| 88 | #4773 | C22 | 1 | 4 | yes | complemented |
| 89 | #4732 | C22 | 1 | 2 | yes | — |
| 90 | #4731 | C22 | 1 | 2 | yes | complemented |
| 91 | #4726 | C22 | 1 | 2 | yes | complemented |
| 92 | D3×C22⋊C8 | C22 | 1 | 2 | yes | complemented |
| 93 | #4713 | C22 | 1 | 2 | yes | complemented |
| 94 | #4712 | C22 | 1 | 2 | yes | complemented |
| 95 | #4706 | C22 | 1 | 4 | yes | complemented |
| 96 | #3519 | — | 3 | 1 | no | — |
| 97 | C2×#550 | — | 3 | 1 | no | — |
| 98 | #3333 | — | 3 | 2 | no | — |
| 99 | #3309 | — | 3 | 4 | no | — |
| 100 | #3305 | — | 3 | 2 | no | — |
| 101 | #3287 | — | 3 | 2 | no | — |
| 102 | #3274 | — | 3 | 2 | no | — |
| 103 | #3268 | — | 3 | 4 | no | — |
| 104 | #3217 | — | 3 | 1 | no | — |
| 105 | #3205 | — | 3 | 1 | no | — |
| 106 | #3194 | — | 3 | 2 | no | — |
| 107 | #3186 | — | 3 | 2 | no | — |
| 108 | #3112 | D3 | 1 | 1 | yes | characteristic, complemented |
| 109 | #3108 | — | 3 | 1 | no | — |
| 110 | #3006 | — | 3 | 2 | no | — |
| 111 | #3002 | — | 3 | 2 | no | — |
| 112 | #2974 | — | 3 | 1 | no | — |
| 113 | C2×C3×#41 | — | 2 | 1 | no | — |
| 114 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 115 | C2×#239 | — | 2 | 2 | no | — |
| 116 | C2×#239 | — | 2 | 2 | no | — |
| 117 | C2×#239 | — | 4 | 8 | no | — |
| 118 | C2×#239 | C23 | 1 | 4 | yes | — |
| 119 | C2×#239 | C23 | 1 | 4 | yes | — |
| 120 | C2×#237 | C23 | 1 | 2 | yes | — |
| 121 | C2×D3×D4 | — | 2 | 2 | no | — |
| 122 | C2×D3×D4 | — | 2 | 1 | no | — |
| 123 | C2×D3×D4 | C23 | 1 | 2 | yes | — |
| 124 | C22×D12 | — | 2 | 2 | no | — |
| 125 | C22×D12 | — | 2 | 1 | no | — |
| 126 | C22×D12 | — | 2 | 2 | no | — |
| 127 | C22×D12 | — | 2 | 1 | no | — |
| 128 | C22×D12 | D4 | 1 | 1 | yes | characteristic |
| 129 | C22×D12 | C23 | 1 | 2 | yes | — |
| 130 | C22×C4×D3 | — | 2 | 2 | no | — |
| 131 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 132 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 133 | C3×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 134 | C3×#127 | C23 | 1 | 1 | yes | characteristic |
| 135 | C3×#124 | — | 2 | 1 | no | — |
| 136 | C3×#121 | — | 2 | 1 | no | — |
| 137 | C3×#121 | C23 | 1 | 2 | yes | — |
| 138 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 139 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 140 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 141 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 142 | C3×C4×D4 | — | 2 | 1 | no | — |
| 143 | C3×C4×D4 | C23 | 1 | 2 | yes | — |
| 144 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 145 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×C3×C42 | — | 2 | 1 | no | — |
| 147 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 148 | #947 | — | 2 | 2 | no | — |
| 149 | #946 | — | 2 | 2 | no | — |
| 150 | C2×#216 | C23 | 1 | 2 | yes | — |
| 151 | C2×#215 | C23 | 1 | 2 | yes | — |
| 152 | #940 | — | 2 | 1 | no | — |
| 153 | #939 | — | 2 | 2 | no | — |
| 154 | #939 | — | 2 | 2 | no | — |
| 155 | #938 | — | 2 | 1 | no | — |
| 156 | #938 | C23 | 1 | 2 | yes | — |
| 157 | #938 | C23 | 1 | 2 | yes | — |
| 158 | #937 | — | 2 | 2 | no | — |
| 159 | #937 | — | 2 | 2 | no | — |
| 160 | D4×Dic3 | — | 2 | 2 | no | — |
| 161 | D4×Dic3 | — | 2 | 1 | no | — |
| 162 | C2×#213 | C23 | 1 | 4 | yes | — |
| 163 | C2×#213 | C23 | 1 | 4 | yes | — |
| 164 | #930 | — | 2 | 2 | no | — |
| 165 | #930 | C23 | 1 | 1 | yes | characteristic |
| 166 | #929 | — | 2 | 1 | no | — |
| 167 | #929 | — | 2 | 2 | no | — |
| 168 | C4×#67 | — | 2 | 1 | no | — |
| 169 | C4×#67 | — | 2 | 2 | no | — |
| 170 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 171 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 172 | C2×(C2×D3)⋊C4 | D4 | 1 | 2 | yes | — |
| 173 | C2×C4⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 174 | #924 | C23 | 1 | 1 | yes | characteristic |
| 175 | #916 | — | 4 | 8 | no | — |
| 176 | #914 | — | 4 | 8 | no | — |
| 177 | C2×D24 | C23 | 1 | 4 | yes | — |
| 178 | C2×#204 | C23 | 1 | 4 | yes | — |
| 179 | C2×ΓL(1,𝔽25) | C23 | 1 | 4 | yes | — |
| 180 | C2×D3×C8 | C23 | 1 | 4 | yes | — |
| 181 | #897 | C23 | 1 | 2 | yes | — |
| 182 | #895 | — | 2 | 1 | no | — |
| 183 | #895 | — | 2 | 2 | no | — |
| 184 | #895 | — | 2 | 2 | no | — |
| 185 | #895 | — | 2 | 4 | no | — |
| 186 | #895 | — | 2 | 4 | no | — |
| 187 | #895 | — | 2 | 4 | no | — |
| 188 | #895 | — | 2 | 4 | no | — |
| 189 | #895 | C23 | 1 | 4 | yes | — |
| 190 | #895 | C23 | 1 | 2 | yes | — |
| 191 | #895 | C23 | 1 | 4 | yes | — |
| 192 | #893 | — | 2 | 1 | no | — |
| 193 | #892 | — | 2 | 1 | no | — |
| 194 | #892 | C23 | 1 | 2 | yes | — |
| 195 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 196 | #890 | — | 2 | 1 | no | — |
| 197 | #886 | — | 2 | 2 | no | — |
| 198 | #884 | — | 2 | 2 | no | — |
| 199 | #884 | — | 2 | 2 | no | — |
| 200 | #883 | — | 2 | 2 | no | — |
| 201 | #882 | — | 2 | 2 | no | — |
| 202 | #67⋊C4 | — | 2 | 2 | no | — |
| 203 | D3×C22⋊C4 | — | 2 | 2 | no | — |
| 204 | #879 | — | 2 | 2 | no | — |
| 205 | #876 | — | 2 | 1 | no | — |
| 206 | #875 | C23 | 1 | 1 | yes | characteristic |
| 207 | #874 | — | 2 | 2 | no | — |
| 208 | #874 | — | 2 | 2 | no | — |
| 209 | #874 | — | 2 | 4 | no | — |
| 210 | #874 | — | 2 | 1 | no | — |
| 211 | #874 | — | 2 | 1 | no | — |
| 212 | #874 | C23 | 1 | 2 | yes | — |
| 213 | #874 | C23 | 1 | 2 | yes | — |
| 214 | C4×D12 | — | 2 | 2 | no | — |
| 215 | C4×D12 | — | 2 | 4 | no | — |
| 216 | C4×D12 | — | 2 | 2 | no | — |
| 217 | C4×D12 | D4 | 1 | 2 | yes | — |
| 218 | C4×D12 | D4 | 1 | 1 | yes | characteristic |
| 219 | C4×D12 | D4 | 1 | 1 | yes | characteristic |
| 220 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 221 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 222 | C4×D12 | C23 | 1 | 2 | yes | — |
| 223 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 224 | #872 | — | 2 | 1 | no | — |
| 225 | #870 | C23 | 1 | 1 | yes | characteristic |
| 226 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 227 | C3×#107 | C23 | 1 | 4 | yes | — |
| 228 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 229 | C3×#103 | C23 | 1 | 4 | yes | — |
| 230 | C3×#102 | C23 | 1 | 4 | yes | — |
| 231 | C3×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 232 | C3×#97 | C23 | 1 | 2 | yes | — |
| 233 | #835 | C23 | 1 | 2 | yes | — |
| 234 | #835 | C23 | 1 | 2 | yes | — |
| 235 | #830 | C23 | 1 | 1 | yes | characteristic |
| 236 | #830 | C23 | 1 | 1 | yes | characteristic |
| 237 | #821 | C23 | 1 | 4 | yes | — |
| 238 | #821 | C23 | 1 | 4 | yes | — |
| 239 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | — |
| 240 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | — |
| 241 | #810 | C23 | 1 | 2 | yes | — |
| 242 | #809 | C23 | 1 | 4 | yes | — |
| 243 | #809 | C23 | 1 | 2 | yes | — |
| 244 | #809 | C23 | 1 | 4 | yes | — |
| 245 | #808 | C23 | 1 | 2 | yes | — |
| 246 | #807 | C23 | 1 | 2 | yes | — |
| 247 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 248 | C4×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 249 | C22×#41 | — | 3 | 2 | no | — |
| 250 | C2×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 251 | C2×#135 | — | 3 | 4 | no | — |
| 252 | #555 | — | 3 | 1 | no | — |
| 253 | #554 | — | 3 | 1 | no | — |
| 254 | #553 | — | 3 | 2 | no | — |
| 255 | #553 | — | 6 | 1 | no | — |
| 256 | #550 | — | 3 | 1 | no | — |
| 257 | #550 | — | 3 | 2 | no | — |
| 258 | #550 | — | 3 | 4 | no | — |
| 259 | #550 | — | 3 | 2 | no | — |
| 260 | #550 | — | 6 | 1 | no | — |
| 261 | #550 | — | 6 | 2 | no | — |
| 262 | #550 | — | 6 | 1 | no | — |
| 263 | #546 | — | 3 | 2 | no | — |
| 264 | #546 | — | 6 | 2 | no | — |
| 265 | D42 | — | 3 | 1 | no | — |
| 266 | D42 | — | 6 | 1 | no | — |
| 267 | #540 | — | 6 | 1 | no | — |
| 268 | #538 | — | 6 | 2 | no | — |
| 269 | #532 | C2×D3 | 1 | 1 | yes | characteristic |
| 270 | C2×#127 | — | 3 | 1 | no | — |
| 271 | C2×#127 | — | 6 | 1 | no | — |
| 272 | #529 | — | 3 | 1 | no | — |
| 273 | #525 | — | 3 | 2 | no | — |
| 274 | C2×#121 | — | 3 | 2 | no | — |
| 275 | C2×#121 | — | 3 | 2 | no | — |
| 276 | C2×#121 | — | 6 | 2 | no | — |
| 277 | #518 | — | 6 | 1 | no | — |
| 278 | C2×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 279 | C2×C4×D4 | — | 3 | 1 | no | — |
| 280 | C2×C4×D4 | — | 6 | 1 | no | — |
| 281 | #496 | — | 3 | 2 | no | — |
| 282 | #493 | — | 3 | 2 | no | — |
| 283 | #490 | — | 3 | 2 | no | — |
| 284 | #486 | — | 3 | 2 | no | — |
| 285 | #483 | — | 3 | 1 | no | — |
| 286 | #482 | — | 3 | 4 | no | — |
| 287 | #480 | — | 3 | 1 | no | — |
| 288 | #480 | — | 3 | 4 | no | — |
| 289 | #480 | C2×D3 | 1 | 2 | yes | complemented |
| 290 | #479 | — | 3 | 2 | no | — |
| 291 | #477 | C2×D3 | 1 | 2 | yes | complemented |
| 292 | #469 | — | 3 | 4 | no | — |
| 293 | #468 | — | 3 | 4 | no | — |
| 294 | #466 | — | 3 | 4 | no | — |
| 295 | #466 | — | 3 | 4 | no | — |
| 296 | #464 | — | 3 | 2 | no | — |
| 297 | #460 | — | 3 | 2 | no | — |
| 298 | #460 | C2×D3 | 1 | 2 | yes | complemented |
| 299 | #459 | — | 3 | 4 | no | — |
| 300 | #459 | — | 3 | 2 | no | — |
| 301 | #452 | — | 3 | 4 | no | — |
| 302 | #451 | — | 3 | 1 | no | — |
| 303 | #450 | — | 3 | 2 | no | — |
| 304 | #449 | — | 3 | 4 | no | — |
| 305 | #449 | — | 3 | 4 | no | — |
| 306 | #449 | — | 3 | 4 | no | — |
| 307 | #449 | — | 3 | 4 | no | — |
| 308 | #448 | — | 3 | 1 | no | — |
| 309 | #448 | C2×D3 | 1 | 2 | yes | complemented |
| 310 | #447 | — | 3 | 2 | no | — |
| 311 | #447 | — | 3 | 2 | no | — |
| 312 | #447 | — | 3 | 4 | no | — |
| 313 | #447 | — | 3 | 2 | no | — |
| 314 | #440 | C2×D3 | 1 | 4 | yes | complemented |
| 315 | C4×Q16 | — | 3 | 2 | no | — |
| 316 | C4×SD16 | — | 3 | 2 | no | — |
| 317 | #436 | — | 3 | 2 | no | — |
| 318 | #435 | — | 3 | 4 | no | — |
| 319 | C8×D4 | — | 3 | 2 | no | — |
| 320 | #432 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 321 | #431 | — | 3 | 1 | no | — |
| 322 | #417 | — | 3 | 4 | no | — |
| 323 | #416 | — | 3 | 4 | no | — |
| 324 | #407 | — | 3 | 2 | no | — |
| 325 | C2×C22⋊C8 | — | 3 | 2 | no | — |
| 326 | C23×D3 | — | 2 | 2 | no | — |
| 327 | C23×D3 | — | 2 | 2 | no | — |
| 328 | C23×D3 | C2×D4 | 1 | 2 | yes | — |
| 329 | C3×#41 | — | 8 | 2 | no | — |
| 330 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 331 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 332 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 333 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 334 | C2×C3×D4 | — | 2 | 2 | no | — |
| 335 | C2×C3×D4 | — | 2 | 1 | no | — |
| 336 | C2×C3×D4 | — | 2 | 1 | no | — |
| 337 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 338 | C22×C3×C4 | — | 2 | 1 | no | — |
| 339 | C22×C3×C4 | — | 2 | 1 | no | — |
| 340 | C22×C3×C4 | — | 2 | 2 | no | — |
| 341 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 342 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 343 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 344 | C2×#67 | — | 2 | 1 | no | — |
| 345 | C2×#67 | — | 2 | 2 | no | — |
| 346 | C2×#67 | — | 2 | 2 | no | — |
| 347 | C2×#67 | — | 2 | 2 | no | — |
| 348 | C2×#67 | — | 2 | 2 | no | — |
| 349 | C22×Dic3 | — | 2 | 2 | no | — |
| 350 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 351 | #239 | — | 2 | 8 | no | — |
| 352 | #239 | — | 2 | 8 | no | — |
| 353 | #239 | — | 4 | 4 | no | — |
| 354 | #239 | — | 4 | 4 | no | — |
| 355 | #239 | — | 4 | 8 | no | — |
| 356 | #239 | — | 4 | 8 | no | — |
| 357 | #237 | — | 4 | 4 | no | — |
| 358 | D3×D4 | — | 4 | 4 | no | — |
| 359 | D3×D4 | — | 4 | 4 | no | — |
| 360 | D3×D4 | — | 8 | 4 | no | — |
| 361 | C2×D12 | — | 2 | 4 | no | — |
| 362 | C2×D12 | — | 2 | 4 | no | — |
| 363 | C2×D12 | — | 2 | 2 | no | — |
| 364 | C2×D12 | — | 2 | 2 | no | — |
| 365 | C2×D12 | — | 2 | 2 | no | — |
| 366 | C2×D12 | — | 2 | 4 | no | — |
| 367 | C2×D12 | — | 2 | 4 | no | — |
| 368 | C2×D12 | — | 2 | 2 | no | — |
| 369 | C2×D12 | — | 2 | 2 | no | — |
| 370 | C2×D12 | — | 2 | 2 | no | — |
| 371 | C2×D12 | — | 4 | 2 | no | — |
| 372 | C2×D12 | — | 4 | 4 | no | — |
| 373 | C2×D12 | — | 4 | 4 | no | — |
| 374 | C2×D12 | — | 4 | 8 | no | — |
| 375 | C2×D12 | — | 8 | 2 | no | — |
| 376 | C2×D12 | — | 8 | 4 | no | — |
| 377 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 378 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 379 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 380 | C2×D12 | C24 | 1 | 4 | yes | — |
| 381 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 382 | C2×C4×D3 | — | 2 | 1 | no | — |
| 383 | C2×C4×D3 | — | 2 | 4 | no | — |
| 384 | C2×C4×D3 | — | 2 | 4 | no | — |
| 385 | C2×C4×D3 | — | 2 | 2 | no | — |
| 386 | C2×C4×D3 | — | 4 | 4 | no | — |
| 387 | C2×C4×D3 | — | 4 | 8 | no | — |
| 388 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 389 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 390 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 391 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 392 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 393 | C3×SD16 | — | 2 | 8 | no | — |
| 394 | C2×C3×C8 | C24 | 1 | 4 | yes | — |
| 395 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 396 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 397 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 398 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 399 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 400 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 401 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 402 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 403 | C3×C42 | — | 2 | 2 | no | — |
| 404 | C3×C42 | — | 2 | 2 | no | — |
| 405 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 406 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 407 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 408 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 409 | #217 | — | 2 | 1 | no | — |
| 410 | #217 | — | 2 | 2 | no | — |
| 411 | #217 | — | 2 | 2 | no | — |
| 412 | #216 | — | 2 | 4 | no | — |
| 413 | #215 | — | 2 | 4 | no | — |
| 414 | #213 | — | 4 | 4 | no | — |
| 415 | #213 | — | 4 | 4 | no | — |
| 416 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 417 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 418 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 419 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 420 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 421 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 422 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 423 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 424 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 425 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 426 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 427 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 428 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 429 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 430 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 431 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 432 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 433 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 434 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 435 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 436 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 437 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 438 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 439 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 440 | C4×Dic3 | — | 2 | 1 | no | — |
| 441 | C4×Dic3 | — | 2 | 2 | no | — |
| 442 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 443 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 444 | D24 | — | 4 | 4 | no | — |
| 445 | #204 | — | 4 | 4 | no | — |
| 446 | ΓL(1,𝔽25) | — | 4 | 4 | no | — |
| 447 | D3×C8 | — | 4 | 4 | no | — |
| 448 | C2×#41 | — | 2 | 1 | no | — |
| 449 | C2×#41 | — | 3 | 4 | no | — |
| 450 | C2×#41 | — | 3 | 4 | no | — |
| 451 | C2×#41 | — | 3 | 2 | no | — |
| 452 | C2×#41 | — | 6 | 2 | no | — |
| 453 | C2×#41 | — | 6 | 2 | no | — |
| 454 | C2×#41 | — | 12 | 8 | no | — |
| 455 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 456 | C22×D4 | — | 3 | 2 | no | — |
| 457 | C22×D4 | — | 3 | 1 | no | — |
| 458 | C22×D4 | — | 3 | 2 | no | — |
| 459 | C22×D4 | — | 6 | 2 | no | — |
| 460 | C22×D4 | — | 6 | 2 | no | — |
| 461 | C22×D4 | — | 6 | 1 | no | — |
| 462 | C22×D4 | — | 6 | 2 | no | — |
| 463 | C22×D4 | — | 6 | 1 | no | — |
| 464 | C22×D4 | — | 6 | 1 | no | — |
| 465 | C23×C4 | — | 3 | 2 | no | — |
| 466 | C23×C4 | — | 6 | 2 | no | — |
| 467 | AGL(1,ℤ/8) | — | 12 | 8 | no | — |
| 468 | #135 | — | 12 | 8 | no | — |
| 469 | C2×Q16 | — | 3 | 2 | no | — |
| 470 | C2×SD16 | — | 3 | 2 | no | — |
| 471 | C2×SD16 | — | 3 | 4 | no | — |
| 472 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 473 | C2×D8 | — | 3 | 4 | no | — |
| 474 | C2×D8 | — | 3 | 4 | no | — |
| 475 | C2×D8 | — | 3 | 4 | no | — |
| 476 | C2×M16 | — | 3 | 4 | no | — |
| 477 | C22×C8 | — | 3 | 4 | no | — |
| 478 | C4⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 479 | #127 | — | 3 | 2 | no | — |
| 480 | #127 | — | 3 | 2 | no | — |
| 481 | #127 | — | 6 | 2 | no | — |
| 482 | #127 | — | 6 | 2 | no | — |
| 483 | #127 | — | 6 | 4 | no | — |
| 484 | #127 | — | 6 | 1 | no | — |
| 485 | #127 | — | 6 | 1 | no | — |
| 486 | #127 | — | 6 | 1 | no | — |
| 487 | #127 | C22×D3 | 1 | 1 | yes | characteristic |
| 488 | #126 | — | 6 | 2 | no | — |
| 489 | #126 | — | 6 | 1 | no | — |
| 490 | #125 | — | 3 | 1 | no | — |
| 491 | #125 | — | 6 | 1 | no | — |
| 492 | #124 | — | 2 | 1 | no | — |
| 493 | #124 | — | 3 | 1 | no | — |
| 494 | #124 | — | 6 | 2 | no | — |
| 495 | #123 | — | 6 | 2 | no | — |
| 496 | #123 | — | 6 | 2 | no | — |
| 497 | #123 | — | 6 | 2 | no | — |
| 498 | #123 | — | 6 | 1 | no | — |
| 499 | C22⋊Q8 | — | 3 | 1 | no | — |
| 500 | C22⋊Q8 | — | 3 | 2 | no | — |
| 501 | C22⋊Q8 | — | 6 | 2 | no | — |
| 502 | #121 | — | 2 | 1 | no | — |
| 503 | #121 | — | 3 | 2 | no | — |
| 504 | #121 | — | 3 | 2 | no | — |
| 505 | #121 | — | 3 | 1 | no | — |
| 506 | #121 | — | 3 | 2 | no | — |
| 507 | #121 | — | 3 | 4 | no | — |
| 508 | #121 | — | 3 | 4 | no | — |
| 509 | #121 | — | 6 | 2 | no | — |
| 510 | #121 | — | 6 | 2 | no | — |
| 511 | #121 | — | 6 | 4 | no | — |
| 512 | #121 | — | 6 | 4 | no | — |
| 513 | #121 | — | 6 | 4 | no | — |
| 514 | #121 | — | 6 | 4 | no | — |
| 515 | #121 | — | 6 | 2 | no | — |
| 516 | #121 | — | 6 | 2 | no | — |
| 517 | #121 | — | 6 | 2 | no | — |
| 518 | #121 | — | 6 | 2 | no | — |
| 519 | #121 | — | 6 | 1 | no | — |
| 520 | #121 | — | 6 | 1 | no | — |
| 521 | #121 | — | 6 | 2 | no | — |
| 522 | #121 | C22×D3 | 1 | 2 | yes | — |
| 523 | #120 | — | 6 | 2 | no | — |
| 524 | #120 | — | 6 | 2 | no | — |
| 525 | #120 | — | 6 | 2 | no | — |
| 526 | C4×Q8 | — | 2 | 1 | no | — |
| 527 | C4×Q8 | — | 2 | 1 | no | — |
| 528 | C4×Q8 | — | 3 | 1 | no | — |
| 529 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 530 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 531 | C4×D4 | — | 2 | 1 | no | — |
| 532 | C4×D4 | — | 3 | 1 | no | — |
| 533 | C4×D4 | — | 3 | 2 | no | — |
| 534 | C4×D4 | — | 3 | 1 | no | — |
| 535 | C4×D4 | — | 3 | 1 | no | — |
| 536 | C4×D4 | — | 3 | 2 | no | — |
| 537 | C4×D4 | — | 3 | 1 | no | — |
| 538 | C4×D4 | — | 3 | 1 | no | — |
| 539 | C4×D4 | — | 6 | 2 | no | — |
| 540 | C4×D4 | — | 6 | 2 | no | — |
| 541 | C4×D4 | — | 6 | 4 | no | — |
| 542 | C4×D4 | — | 6 | 2 | no | — |
| 543 | C4×D4 | — | 6 | 2 | no | — |
| 544 | C4×D4 | — | 6 | 1 | no | — |
| 545 | C4×D4 | — | 6 | 1 | no | — |
| 546 | C4×D4 | — | 6 | 2 | no | — |
| 547 | C4×D4 | — | 6 | 1 | no | — |
| 548 | C4×D4 | C22×D3 | 1 | 2 | yes | — |
| 549 | #117 | — | 3 | 2 | no | — |
| 550 | #117 | — | 6 | 1 | no | — |
| 551 | #117 | — | 6 | 1 | no | — |
| 552 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 553 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 554 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 555 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 556 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 557 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 558 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 559 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 560 | C2×C42 | — | 2 | 1 | no | — |
| 561 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 562 | #107 | — | 3 | 2 | no | — |
| 563 | #107 | C22×D3 | 1 | 4 | yes | — |
| 564 | #106 | — | 3 | 2 | no | — |
| 565 | C4⋊C8 | — | 3 | 2 | no | — |
| 566 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 567 | #103 | — | 3 | 2 | no | — |
| 568 | #103 | — | 3 | 2 | no | — |
| 569 | #103 | — | 3 | 2 | no | — |
| 570 | #103 | C22×D3 | 1 | 4 | yes | — |
| 571 | #102 | — | 3 | 4 | no | — |
| 572 | #102 | — | 3 | 4 | no | — |
| 573 | #102 | — | 3 | 4 | no | — |
| 574 | #102 | — | 3 | 4 | no | — |
| 575 | #102 | — | 3 | 2 | no | — |
| 576 | #102 | C22×D3 | 1 | 4 | yes | — |
| 577 | C22⋊C8 | — | 3 | 1 | no | — |
| 578 | C22⋊C8 | — | 3 | 1 | no | — |
| 579 | C22⋊C8 | — | 3 | 4 | no | — |
| 580 | C22⋊C8 | — | 3 | 4 | no | — |
| 581 | C22⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 582 | #97 | C22×D3 | 1 | 2 | yes | — |
| 583 | C4×C8 | — | 3 | 2 | no | — |
| 584 | C23×C3 | — | 2 | 2 | no | — |
| 585 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 586 | C22×D3 | — | 2 | 4 | no | — |
| 587 | C22×D3 | — | 2 | 1 | no | — |
| 588 | C22×D3 | — | 2 | 4 | no | — |
| 589 | C22×D3 | — | 4 | 2 | no | — |
| 590 | C22×D3 | — | 4 | 2 | no | — |
| 591 | C22×D3 | — | 4 | 4 | no | — |
| 592 | C22×D3 | — | 4 | 4 | no | — |
| 593 | C22×D3 | — | 4 | 4 | no | — |
| 594 | C22×D3 | — | 4 | 4 | no | — |
| 595 | C22×D3 | — | 8 | 2 | no | — |
| 596 | C22×D3 | — | 8 | 2 | no | — |
| 597 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 598 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 599 | C3×Q8 | — | 2 | 4 | no | — |
| 600 | C3×Q8 | — | 2 | 2 | no | — |
| 601 | C3×Q8 | — | 8 | 1 | no | — |
| 602 | C3×Q8 | H(5,𝔽2) | 1 | 4 | yes | — |
| 603 | C3×D4 | — | 2 | 4 | no | — |
| 604 | C3×D4 | — | 4 | 4 | no | — |
| 605 | C3×D4 | — | 4 | 2 | no | — |
| 606 | C3×D4 | — | 8 | 1 | no | — |
| 607 | C2×C3×C4 | — | 2 | 4 | no | — |
| 608 | C2×C3×C4 | — | 2 | 2 | no | — |
| 609 | C2×C3×C4 | — | 2 | 2 | no | — |
| 610 | C2×C3×C4 | — | 2 | 2 | no | — |
| 611 | C2×C3×C4 | — | 2 | 2 | no | — |
| 612 | C2×C3×C4 | — | 2 | 2 | no | — |
| 613 | C2×C3×C4 | — | 2 | 2 | no | — |
| 614 | C2×C3×C4 | — | 4 | 2 | no | — |
| 615 | C2×C3×C4 | — | 8 | 2 | no | — |
| 616 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 617 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 618 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 619 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 620 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 621 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 622 | #67 | — | 4 | 4 | no | — |
| 623 | #67 | — | 4 | 2 | no | — |
| 624 | #67 | — | 8 | 2 | no | — |
| 625 | #67 | — | 8 | 2 | no | — |
| 626 | #67 | — | 8 | 2 | no | — |
| 627 | C2×Dic3 | — | 2 | 1 | no | — |
| 628 | C2×Dic3 | — | 2 | 1 | no | — |
| 629 | C2×Dic3 | — | 2 | 1 | no | — |
| 630 | C2×Dic3 | — | 4 | 2 | no | — |
| 631 | C2×Dic3 | — | 8 | 2 | no | — |
| 632 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 633 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 634 | D12 | — | 2 | 2 | no | — |
| 635 | D12 | — | 2 | 2 | no | — |
| 636 | D12 | — | 2 | 4 | no | — |
| 637 | D12 | — | 2 | 2 | no | — |
| 638 | D12 | — | 2 | 4 | no | — |
| 639 | D12 | — | 4 | 2 | no | — |
| 640 | D12 | — | 4 | 8 | no | — |
| 641 | D12 | — | 4 | 8 | no | — |
| 642 | D12 | — | 4 | 4 | no | — |
| 643 | D12 | — | 4 | 4 | no | — |
| 644 | D12 | — | 4 | 4 | no | — |
| 645 | D12 | — | 8 | 2 | no | — |
| 646 | D12 | — | 8 | 2 | no | — |
| 647 | D12 | — | 8 | 4 | no | — |
| 648 | D12 | — | 8 | 4 | no | — |
| 649 | D12 | — | 8 | 2 | no | — |
| 650 | C4×D3 | — | 2 | 4 | no | — |
| 651 | C4×D3 | — | 2 | 4 | no | — |
| 652 | C4×D3 | — | 4 | 2 | no | — |
| 653 | C4×D3 | — | 4 | 2 | no | — |
| 654 | C4×D3 | — | 4 | 8 | no | — |
| 655 | C4×D3 | — | 4 | 8 | no | — |
| 656 | C4×D3 | — | 4 | 2 | no | — |
| 657 | C4×D3 | — | 8 | 2 | no | — |
| 658 | Dic6 | — | 2 | 2 | no | — |
| 659 | C3×C8 | — | 2 | 4 | no | — |
| 660 | C3⋊C8 | — | 2 | 2 | no | — |
| 661 | C3⋊C8 | — | 2 | 2 | no | — |
| 662 | C24 | — | 3 | 2 | no | — |
| 663 | C24 | — | 6 | 2 | no | — |
| 664 | C24 | — | 6 | 2 | no | — |
| 665 | #41 | — | 6 | 8 | no | — |
| 666 | #41 | — | 6 | 8 | no | — |
| 667 | #41 | — | 8 | 2 | no | — |
| 668 | #41 | — | 12 | 4 | no | — |
| 669 | #41 | — | 12 | 4 | no | — |
| 670 | #41 | — | 12 | 4 | no | — |
| 671 | #41 | — | 12 | 8 | no | — |
| 672 | #41 | — | 12 | 8 | no | — |
| 673 | C2×Q8 | — | 2 | 4 | no | — |
| 674 | C2×Q8 | — | 2 | 1 | no | — |
| 675 | C2×Q8 | — | 2 | 1 | no | — |
| 676 | C2×Q8 | — | 3 | 1 | no | — |
| 677 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 678 | C2×D4 | — | 2 | 2 | no | — |
| 679 | C2×D4 | — | 2 | 1 | no | — |
| 680 | C2×D4 | — | 2 | 1 | no | — |
| 681 | C2×D4 | — | 3 | 1 | no | — |
| 682 | C2×D4 | — | 3 | 1 | no | — |
| 683 | C2×D4 | — | 3 | 2 | no | — |
| 684 | C2×D4 | — | 3 | 4 | no | — |
| 685 | C2×D4 | — | 3 | 1 | no | — |
| 686 | C2×D4 | — | 6 | 4 | no | — |
| 687 | C2×D4 | — | 6 | 4 | no | — |
| 688 | C2×D4 | — | 6 | 2 | no | — |
| 689 | C2×D4 | — | 6 | 4 | no | — |
| 690 | C2×D4 | — | 6 | 4 | no | — |
| 691 | C2×D4 | — | 6 | 2 | no | — |
| 692 | C2×D4 | — | 6 | 2 | no | — |
| 693 | C2×D4 | — | 6 | 1 | no | — |
| 694 | C2×D4 | — | 6 | 2 | no | — |
| 695 | C2×D4 | — | 6 | 2 | no | — |
| 696 | C2×D4 | — | 6 | 2 | no | — |
| 697 | C2×D4 | — | 6 | 2 | no | — |
| 698 | C2×D4 | — | 6 | 2 | no | — |
| 699 | C2×D4 | — | 6 | 2 | no | — |
| 700 | C2×D4 | — | 6 | 2 | no | — |
| 701 | C2×D4 | — | 12 | 4 | no | — |
| 702 | C2×D4 | — | 12 | 2 | no | — |
| 703 | C2×D4 | — | 12 | 8 | no | — |
| 704 | C2×D4 | — | 12 | 4 | no | — |
| 705 | C2×D4 | — | 12 | 4 | no | — |
| 706 | C2×D4 | — | 12 | 4 | no | — |
| 707 | C2×D4 | — | 24 | 2 | no | — |
| 708 | C2×D4 | — | 24 | 4 | no | — |
| 709 | C2×D4 | — | 24 | 4 | no | — |
| 710 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 711 | C22×C4 | — | 2 | 1 | no | — |
| 712 | C22×C4 | — | 2 | 1 | no | — |
| 713 | C22×C4 | — | 2 | 2 | no | — |
| 714 | C22×C4 | — | 3 | 2 | no | — |
| 715 | C22×C4 | — | 3 | 2 | no | — |
| 716 | C22×C4 | — | 3 | 2 | no | — |
| 717 | C22×C4 | — | 3 | 2 | no | — |
| 718 | C22×C4 | — | 3 | 2 | no | — |
| 719 | C22×C4 | — | 6 | 4 | no | — |
| 720 | C22×C4 | — | 6 | 4 | no | — |
| 721 | C22×C4 | — | 6 | 2 | no | — |
| 722 | C22×C4 | — | 6 | 2 | no | — |
| 723 | C22×C4 | — | 6 | 1 | no | — |
| 724 | C22×C4 | — | 12 | 4 | no | — |
| 725 | C22×C4 | — | 12 | 8 | no | — |
| 726 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 727 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 728 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 729 | Q16 | — | 6 | 4 | no | — |
| 730 | SD16 | — | 2 | 8 | no | — |
| 731 | SD16 | — | 6 | 4 | no | — |
| 732 | SD16 | — | 12 | 4 | no | — |
| 733 | D8 | — | 12 | 4 | no | — |
| 734 | D8 | — | 12 | 4 | no | — |
| 735 | D8 | — | 12 | 4 | no | — |
| 736 | M16 | — | 12 | 4 | no | — |
| 737 | C2×C8 | — | 3 | 2 | no | — |
| 738 | C2×C8 | — | 3 | 2 | no | — |
| 739 | C2×C8 | — | 12 | 4 | no | — |
| 740 | C2×C8 | C23×D3 | 1 | 4 | yes | — |
| 741 | C4⋊C4 | — | 2 | 2 | no | — |
| 742 | C4⋊C4 | — | 2 | 2 | no | — |
| 743 | C4⋊C4 | — | 2 | 1 | no | — |
| 744 | C4⋊C4 | — | 2 | 1 | no | — |
| 745 | C4⋊C4 | — | 3 | 1 | no | — |
| 746 | C4⋊C4 | — | 3 | 1 | no | — |
| 747 | C4⋊C4 | — | 3 | 2 | no | — |
| 748 | C4⋊C4 | — | 3 | 1 | no | — |
| 749 | C4⋊C4 | — | 3 | 1 | no | — |
| 750 | C4⋊C4 | — | 6 | 2 | no | — |
| 751 | C4⋊C4 | — | 6 | 2 | no | — |
| 752 | C4⋊C4 | — | 6 | 1 | no | — |
| 753 | C4⋊C4 | — | 6 | 1 | no | — |
| 754 | C4⋊C4 | — | 6 | 1 | no | — |
| 755 | C4⋊C4 | — | 6 | 1 | no | — |
| 756 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 757 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 758 | C22⋊C4 | — | 2 | 2 | no | — |
| 759 | C22⋊C4 | — | 2 | 2 | no | — |
| 760 | C22⋊C4 | — | 3 | 2 | no | — |
| 761 | C22⋊C4 | — | 3 | 2 | no | — |
| 762 | C22⋊C4 | — | 3 | 2 | no | — |
| 763 | C22⋊C4 | — | 3 | 2 | no | — |
| 764 | C22⋊C4 | — | 6 | 2 | no | — |
| 765 | C22⋊C4 | — | 6 | 4 | no | — |
| 766 | C22⋊C4 | — | 6 | 4 | no | — |
| 767 | C22⋊C4 | — | 6 | 2 | no | — |
| 768 | C22⋊C4 | — | 6 | 2 | no | — |
| 769 | C22⋊C4 | — | 6 | 2 | no | — |
| 770 | C22⋊C4 | — | 6 | 2 | no | — |
| 771 | C22⋊C4 | — | 6 | 1 | no | — |
| 772 | C22⋊C4 | — | 6 | 1 | no | — |
| 773 | C22⋊C4 | — | 6 | 1 | no | — |
| 774 | C22⋊C4 | — | 6 | 1 | no | — |
| 775 | C22⋊C4 | — | 6 | 1 | no | — |
| 776 | C42 | — | 2 | 2 | no | — |
| 777 | C42 | — | 2 | 2 | no | — |
| 778 | C42 | — | 6 | 2 | no | — |
| 779 | C42 | — | 6 | 1 | no | — |
| 780 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 781 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 782 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 783 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 784 | C22×C3 | — | 2 | 1 | no | — |
| 785 | C22×C3 | — | 2 | 1 | no | — |
| 786 | C22×C3 | — | 4 | 2 | no | — |
| 787 | C22×C3 | — | 4 | 2 | no | — |
| 788 | C22×C3 | — | 4 | 2 | no | — |
| 789 | C22×C3 | #576 | 1 | 2 | yes | — |
| 790 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 791 | C2×D3 | — | 2 | 2 | no | — |
| 792 | C2×D3 | — | 2 | 2 | no | — |
| 793 | C2×D3 | — | 2 | 2 | no | — |
| 794 | C2×D3 | — | 2 | 2 | no | — |
| 795 | C2×D3 | — | 2 | 2 | no | — |
| 796 | C2×D3 | — | 2 | 2 | no | — |
| 797 | C2×D3 | — | 4 | 4 | no | — |
| 798 | C2×D3 | — | 4 | 1 | no | — |
| 799 | C2×D3 | — | 4 | 1 | no | — |
| 800 | C2×D3 | — | 4 | 4 | no | — |
| 801 | C2×D3 | — | 4 | 4 | no | — |
| 802 | C2×D3 | — | 4 | 1 | no | — |
| 803 | C2×D3 | — | 8 | 4 | no | — |
| 804 | C2×D3 | — | 8 | 8 | no | — |
| 805 | C2×D3 | — | 16 | 4 | no | — |
| 806 | C3×C4 | — | 2 | 4 | no | — |
| 807 | C3×C4 | — | 2 | 1 | no | — |
| 808 | C3×C4 | — | 2 | 1 | no | — |
| 809 | C3×C4 | — | 2 | 1 | no | — |
| 810 | C3×C4 | — | 2 | 1 | no | — |
| 811 | C3×C4 | — | 4 | 2 | no | — |
| 812 | C3×C4 | — | 4 | 2 | no | — |
| 813 | C3×C4 | #575 | 1 | 2 | yes | — |
| 814 | C3×C4 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 815 | Dic3 | — | 2 | 2 | no | — |
| 816 | Dic3 | — | 2 | 2 | no | — |
| 817 | Dic3 | — | 4 | 1 | no | — |
| 818 | Dic3 | — | 4 | 1 | no | — |
| 819 | Dic3 | — | 4 | 1 | no | — |
| 820 | C23 | — | 2 | 2 | no | — |
| 821 | C23 | — | 3 | 2 | no | — |
| 822 | C23 | — | 3 | 2 | no | — |
| 823 | C23 | — | 6 | 4 | no | — |
| 824 | C23 | — | 6 | 1 | no | — |
| 825 | C23 | — | 6 | 4 | no | — |
| 826 | C23 | — | 12 | 2 | no | — |
| 827 | C23 | — | 12 | 2 | no | — |
| 828 | C23 | — | 12 | 4 | no | — |
| 829 | C23 | — | 12 | 4 | no | — |
| 830 | C23 | — | 12 | 4 | no | — |
| 831 | C23 | — | 12 | 4 | no | — |
| 832 | C23 | — | 24 | 2 | no | — |
| 833 | C23 | — | 24 | 2 | no | — |
| 834 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 835 | Q8 | — | 2 | 4 | no | — |
| 836 | Q8 | — | 2 | 2 | no | — |
| 837 | Q8 | — | 6 | 2 | no | — |
| 838 | Q8 | — | 8 | 1 | no | — |
| 839 | Q8 | #1009 | 1 | 4 | yes | — |
| 840 | D4 | — | 2 | 4 | no | — |
| 841 | D4 | — | 4 | 4 | no | — |
| 842 | D4 | — | 4 | 2 | no | — |
| 843 | D4 | — | 6 | 2 | no | — |
| 844 | D4 | — | 6 | 4 | no | — |
| 845 | D4 | — | 6 | 4 | no | — |
| 846 | D4 | — | 6 | 2 | no | — |
| 847 | D4 | — | 6 | 2 | no | — |
| 848 | D4 | — | 8 | 1 | no | — |
| 849 | D4 | — | 12 | 2 | no | — |
| 850 | D4 | — | 12 | 8 | no | — |
| 851 | D4 | — | 12 | 8 | no | — |
| 852 | D4 | — | 12 | 4 | no | — |
| 853 | D4 | — | 12 | 4 | no | — |
| 854 | D4 | — | 12 | 4 | no | — |
| 855 | D4 | — | 12 | 2 | no | — |
| 856 | D4 | — | 12 | 4 | no | — |
| 857 | D4 | — | 24 | 2 | no | — |
| 858 | D4 | — | 24 | 2 | no | — |
| 859 | D4 | — | 24 | 4 | no | — |
| 860 | D4 | — | 24 | 4 | no | — |
| 861 | D4 | — | 24 | 2 | no | — |
| 862 | D4 | — | 24 | 2 | no | — |
| 863 | D4 | — | 24 | 2 | no | — |
| 864 | D4 | — | 24 | 2 | no | — |
| 865 | C2×C4 | — | 2 | 4 | no | — |
| 866 | C2×C4 | — | 2 | 2 | no | — |
| 867 | C2×C4 | — | 2 | 2 | no | — |
| 868 | C2×C4 | — | 2 | 2 | no | — |
| 869 | C2×C4 | — | 2 | 2 | no | — |
| 870 | C2×C4 | — | 2 | 2 | no | — |
| 871 | C2×C4 | — | 2 | 2 | no | — |
| 872 | C2×C4 | — | 3 | 2 | no | — |
| 873 | C2×C4 | — | 3 | 2 | no | — |
| 874 | C2×C4 | — | 4 | 2 | no | — |
| 875 | C2×C4 | — | 6 | 4 | no | — |
| 876 | C2×C4 | — | 6 | 4 | no | — |
| 877 | C2×C4 | — | 6 | 1 | no | — |
| 878 | C2×C4 | — | 6 | 1 | no | — |
| 879 | C2×C4 | — | 6 | 1 | no | — |
| 880 | C2×C4 | — | 8 | 2 | no | — |
| 881 | C2×C4 | — | 12 | 2 | no | — |
| 882 | C2×C4 | — | 12 | 2 | no | — |
| 883 | C2×C4 | — | 12 | 8 | no | — |
| 884 | C2×C4 | — | 12 | 8 | no | — |
| 885 | C2×C4 | — | 12 | 2 | no | — |
| 886 | C2×C4 | — | 12 | 2 | no | — |
| 887 | C2×C4 | — | 24 | 2 | no | — |
| 888 | C2×C4 | — | 24 | 2 | no | — |
| 889 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 890 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 891 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 892 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 893 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 894 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 895 | C8 | — | 2 | 4 | no | — |
| 896 | C8 | — | 6 | 2 | no | — |
| 897 | C8 | — | 6 | 2 | no | — |
| 898 | C2×C3 | — | 2 | 2 | no | — |
| 899 | C2×C3 | — | 8 | 2 | no | — |
| 900 | C2×C3 | #3484 | 1 | 1 | yes | characteristic |
| 901 | C2×C3 | C2×#575 | 1 | 1 | yes | characteristic |
| 902 | C2×C3 | C2×#576 | 1 | 1 | yes | characteristic |
| 903 | D3 | — | 4 | 2 | no | — |
| 904 | D3 | — | 4 | 2 | no | — |
| 905 | D3 | — | 8 | 4 | no | — |
| 906 | D3 | — | 8 | 1 | no | — |
| 907 | C22 | — | 2 | 1 | no | — |
| 908 | C22 | — | 2 | 1 | no | — |
| 909 | C22 | — | 4 | 2 | no | — |
| 910 | C22 | — | 4 | 2 | no | — |
| 911 | C22 | — | 4 | 2 | no | — |
| 912 | C22 | — | 6 | 2 | no | — |
| 913 | C22 | — | 6 | 2 | no | — |
| 914 | C22 | — | 6 | 2 | no | — |
| 915 | C22 | — | 6 | 2 | no | — |
| 916 | C22 | — | 6 | 2 | no | — |
| 917 | C22 | — | 6 | 2 | no | — |
| 918 | C22 | — | 12 | 4 | no | — |
| 919 | C22 | — | 12 | 1 | no | — |
| 920 | C22 | — | 12 | 1 | no | — |
| 921 | C22 | — | 12 | 4 | no | — |
| 922 | C22 | — | 12 | 1 | no | — |
| 923 | C22 | — | 12 | 4 | no | — |
| 924 | C22 | — | 24 | 4 | no | — |
| 925 | C22 | — | 24 | 8 | no | — |
| 926 | C22 | — | 48 | 4 | no | — |
| 927 | C22 | #5774 | 1 | 2 | yes | — |
| 928 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 929 | C4 | — | 2 | 4 | no | — |
| 930 | C4 | — | 2 | 1 | no | — |
| 931 | C4 | — | 2 | 1 | no | — |
| 932 | C4 | — | 2 | 1 | no | — |
| 933 | C4 | — | 2 | 1 | no | — |
| 934 | C4 | — | 4 | 2 | no | — |
| 935 | C4 | — | 4 | 2 | no | — |
| 936 | C4 | — | 6 | 2 | no | — |
| 937 | C4 | — | 6 | 2 | no | — |
| 938 | C4 | — | 12 | 1 | no | — |
| 939 | C4 | — | 12 | 1 | no | — |
| 940 | C4 | — | 12 | 1 | no | — |
| 941 | C4 | #5777 | 1 | 2 | yes | — |
| 942 | C4 | C2×#1009 | 1 | 2 | yes | — |
| 943 | C3 | #61605 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 944 | C2 | — | 2 | 2 | no | — |
| 945 | C2 | — | 8 | 2 | no | — |
| 946 | C2 | — | 12 | 2 | no | — |
| 947 | C2 | — | 12 | 2 | no | — |
| 948 | C2 | — | 24 | 4 | no | — |
| 949 | C2 | — | 24 | 1 | no | — |
| 950 | C2 | #86039 | 1 | 1 | yes | characteristic |
| 951 | C2 | C2×#5774 | 1 | 1 | yes | characteristic |
| 952 | C2 | C2×#5777 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86247 | C2 | semidirect |
| 2. C2×#5577 | C2 | semidirect |
| 3. C3×#3112 | C2 | semidirect |
| 4. #83302 | C2 | semidirect |
| 5. #82443 | C2 | semidirect |
| 6. #81300 | C2 | semidirect |
| 7. #81299 | C2 | semidirect |
| 8. #81124 | C2 | semidirect |
| 9. #81120 | C2 | semidirect |
| 10. #80405 | C2 | semidirect |
| 11. #80394 | C2 | semidirect |
| 12. #80040 | C2 | semidirect |
| 13. #80038 | C2 | semidirect |
| 14. #79799 | C2 | semidirect |
| 15. #79796 | C2 | semidirect |
| 16. #79353 | C2 | semidirect |
| 17. #79336 | C2 | semidirect |
| 19. C22×#239 | C22 | semidirect |
| 21. C2×C3×C4×Q8 | C22 | semidirect |
| 23. C2×#916 | C22 | semidirect |
| 24. C2×#914 | C22 | semidirect |
| 25. #5734 | C22 | semidirect |
| 26. #5730 | C22 | semidirect |
| 27. #5718 | C22 | semidirect |
| 28. #5717 | C22 | semidirect |
| 38. #5577 | C22 | semidirect |
| 39. #5577 | C22 | semidirect |
| 41. #5558 | C22 | semidirect |
| 42. #5554 | C22 | semidirect |
| 45. C2×#895 | C22 | semidirect |
| 48. C2×#874 | C22 | semidirect |
| 51. C3×#480 | C22 | semidirect |
| 52. C3×#477 | C22 | semidirect |
| 53. C3×#460 | C22 | semidirect |
| 54. C3×#448 | C22 | semidirect |
| 55. C3×#440 | C22 | semidirect |
| 56. C3×#432 | C22 | semidirect |
| 57. #5228 | C22 | semidirect |
| 59. #5172 | C22 | semidirect |
| 60. #5172 | C22 | semidirect |
| 61. #5088 | C22 | semidirect |
| 62. #5073 | C22 | semidirect |
| 63. #5036 | C22 | semidirect |
| 64. #5036 | C22 | semidirect |
| 65. C4×#216 | C22 | semidirect |
| 66. #5028 | C22 | semidirect |
| 67. C4×#215 | C22 | semidirect |
| 68. #5022 | C22 | semidirect |
| 69. #5015 | C22 | semidirect |
| 70. #4971 | C22 | semidirect |
| 72. #4925 | C22 | semidirect |
| 73. #4886 | C22 | semidirect |
| 74. #4885 | C22 | semidirect |
| 75. #4883 | C22 | semidirect |
| 76. #4882 | C22 | semidirect |
| 77. #4848 | C22 | semidirect |
| 78. #4843 | C22 | semidirect |
| 79. #4838 | C22 | semidirect |
| 80. #4834 | C22 | semidirect |
| 81. #4810 | C22 | semidirect |
| 82. #4808 | C22 | semidirect |
| 83. #4804 | C22 | semidirect |
| 84. #4803 | C22 | semidirect |
| 85. #4782 | C22 | semidirect |
| 86. #4781 | C22 | semidirect |
| 87. #4775 | C22 | semidirect |
| 88. #4773 | C22 | semidirect |
| 90. #4731 | C22 | semidirect |
| 91. #4726 | C22 | semidirect |
| 92. D3×C22⋊C8 | C22 | semidirect |
| 93. #4713 | C22 | semidirect |
| 94. #4712 | C22 | semidirect |
| 95. #4706 | C22 | semidirect |
| 108. #3112 | D3 | semidirect |
| 278. C2×C4×Q8 | C2×D3 | semidirect |
| 289. #480 | C2×D3 | semidirect |
| 291. #477 | C2×D3 | semidirect |
| 298. #460 | C2×D3 | semidirect |
| 309. #448 | C2×D3 | semidirect |
| 314. #440 | C2×D3 | semidirect |
| 320. #432 | C2×D3 | semidirect |
| 943. C3 | #61605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86247 | 2 |
| C2×#5577 | 2 |
| C3×#3112 | 2 |
| #83302 | 2 |
| #82443 | 2 |
| #81300 | 2 |
| #81299 | 2 |
| #81124 | 2 |
| #81120 | 2 |
| #80405 | 2 |
| #80394 | 2 |
| #80040 | 2 |
| #80038 | 2 |
| #79799 | 2 |
| #79796 | 2 |
| #79353 | 2 |
| #79336 | 2 |
| #61605 | 3 |