Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2110 conjugacy classes of subgroups.
The subgroup lattice has 916 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86190 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C4×#1007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×#460 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83860 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #83843 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #83165 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #82431 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #80365 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #80364 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #80363 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #80362 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #80361 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #80360 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79025 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #79000 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #78756 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #78726 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #60593 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C2×#1007 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×C3×SD16 | C22 | 1 | 2 | yes | — |
| 21 | C2×C3×#127 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 23 | #5812 | C22 | 1 | 1 | yes | characteristic |
| 24 | #5806 | — | 2 | 2 | no | — |
| 25 | #5806 | — | 2 | 2 | no | — |
| 26 | #5805 | C22 | 1 | 2 | yes | — |
| 27 | #5798 | C22 | 1 | 2 | yes | — |
| 28 | C2×#932 | C22 | 1 | 2 | yes | — |
| 29 | #5719 | C22 | 1 | 4 | yes | — |
| 30 | #5718 | — | 2 | 1 | no | — |
| 31 | #5718 | — | 2 | 1 | no | — |
| 32 | #5716 | C22 | 1 | 2 | yes | — |
| 33 | #5716 | C22 | 1 | 2 | yes | — |
| 34 | #5713 | — | 2 | 1 | no | — |
| 35 | #5713 | — | 2 | 1 | no | — |
| 36 | #5574 | — | 2 | 1 | no | — |
| 37 | #5574 | C22 | 1 | 2 | yes | complemented |
| 38 | C4×#239 | — | 2 | 1 | no | — |
| 39 | C4×#239 | C22 | 1 | 2 | yes | complemented |
| 40 | #5572 | — | 2 | 1 | no | — |
| 41 | #5572 | C22 | 1 | 2 | yes | complemented |
| 42 | C4×D3×Q8 | — | 2 | 1 | no | — |
| 43 | C4×D3×Q8 | C22 | 1 | 2 | yes | complemented |
| 44 | #5504 | — | 2 | 2 | no | — |
| 45 | #5504 | C22 | 1 | 1 | yes | characteristic |
| 46 | #5504 | C22 | 1 | 1 | yes | characteristic |
| 47 | C4×#235 | — | 2 | 2 | no | — |
| 48 | C4×#235 | C22 | 1 | 1 | yes | characteristic |
| 49 | C4×#235 | C22 | 1 | 1 | yes | characteristic |
| 50 | #5470 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#460 | C22 | 1 | 2 | yes | — |
| 52 | C3×#460 | C22 | 1 | 2 | yes | — |
| 53 | C3×#460 | C22 | 1 | 4 | yes | — |
| 54 | C2×C3×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×C3×#102 | C22 | 1 | 2 | yes | — |
| 56 | #5225 | C22 | 1 | 2 | yes | — |
| 57 | #5215 | C22 | 1 | 2 | yes | — |
| 58 | #5172 | C22 | 1 | 4 | yes | complemented |
| 59 | #5172 | C22 | 1 | 4 | yes | complemented |
| 60 | #5170 | C22 | 1 | 4 | yes | complemented |
| 61 | #5170 | C22 | 1 | 4 | yes | complemented |
| 62 | #5164 | C22 | 1 | 4 | yes | complemented |
| 63 | #5164 | C22 | 1 | 4 | yes | complemented |
| 64 | Dic3×SD16 | C22 | 1 | 4 | yes | complemented |
| 65 | Dic3×SD16 | C22 | 1 | 4 | yes | complemented |
| 66 | #5113 | C22 | 1 | 2 | yes | — |
| 67 | #5110 | C22 | 1 | 2 | yes | — |
| 68 | #5106 | C22 | 1 | 2 | yes | — |
| 69 | #5101 | C22 | 1 | 2 | yes | — |
| 70 | #5075 | C22 | 1 | 2 | yes | — |
| 71 | #5075 | C22 | 1 | 2 | yes | — |
| 72 | #5072 | C22 | 1 | 2 | yes | — |
| 73 | #5072 | C22 | 1 | 2 | yes | — |
| 74 | #5022 | C22 | 1 | 4 | yes | complemented |
| 75 | #5021 | C22 | 1 | 2 | yes | complemented |
| 76 | #5020 | C22 | 1 | 2 | yes | complemented |
| 77 | #4964 | C22 | 1 | 2 | yes | — |
| 78 | #4924 | C22 | 1 | 1 | yes | characteristic |
| 79 | #4851 | C22 | 1 | 1 | yes | characteristic, complemented |
| 80 | #4850 | C22 | 1 | 1 | yes | characteristic, complemented |
| 81 | #4847 | C22 | 1 | 2 | yes | complemented |
| 82 | #4846 | C22 | 1 | 1 | yes | characteristic, complemented |
| 83 | #4842 | C22 | 1 | 1 | yes | characteristic, complemented |
| 84 | #4840 | C22 | 1 | 4 | yes | complemented |
| 85 | #4835 | C22 | 1 | 2 | yes | complemented |
| 86 | #4833 | C22 | 1 | 2 | yes | complemented |
| 87 | #4829 | C22 | 1 | 2 | yes | complemented |
| 88 | #4785 | C22 | 1 | 4 | yes | complemented |
| 89 | #4784 | C22 | 1 | 4 | yes | complemented |
| 90 | #4779 | C22 | 1 | 4 | yes | complemented |
| 91 | #4777 | C22 | 1 | 4 | yes | complemented |
| 92 | #4774 | C22 | 1 | 4 | yes | complemented |
| 93 | #4758 | C22 | 1 | 4 | yes | complemented |
| 94 | #4757 | C22 | 1 | 4 | yes | complemented |
| 95 | #4756 | C22 | 1 | 4 | yes | complemented |
| 96 | #3508 | — | 3 | 1 | no | — |
| 97 | C4×2−1+4 | — | 3 | 1 | no | — |
| 98 | #3126 | — | 3 | 4 | no | — |
| 99 | #3119 | — | 3 | 4 | no | — |
| 100 | #3115 | — | 3 | 2 | no | — |
| 101 | #3112 | — | 3 | 2 | no | — |
| 102 | #3106 | — | 3 | 2 | no | — |
| 103 | #3103 | — | 3 | 2 | no | — |
| 104 | #3096 | — | 3 | 2 | no | — |
| 105 | #3078 | — | 3 | 1 | no | — |
| 106 | #3076 | — | 3 | 1 | no | — |
| 107 | #3038 | — | 3 | 1 | no | — |
| 108 | C2×#460 | D3 | 1 | 1 | yes | characteristic, complemented |
| 109 | #3010 | — | 3 | 2 | no | — |
| 110 | #2949 | — | 3 | 2 | no | — |
| 111 | #2946 | — | 3 | 2 | no | — |
| 112 | #2925 | — | 3 | 1 | no | — |
| 113 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 114 | C22×C3×D4 | — | 2 | 1 | no | — |
| 115 | C22×C3×D4 | — | 2 | 1 | no | — |
| 116 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 117 | #1007 | — | 2 | 4 | no | — |
| 118 | #1007 | — | 2 | 4 | no | — |
| 119 | C2×#239 | — | 2 | 1 | no | — |
| 120 | C2×#239 | C23 | 1 | 2 | yes | — |
| 121 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 122 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 123 | C2×#237 | — | 2 | 2 | no | — |
| 124 | C2×#237 | — | 2 | 2 | no | — |
| 125 | C2×#235 | — | 2 | 2 | no | — |
| 126 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 127 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×C3×SD16 | — | 2 | 8 | no | — |
| 129 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 130 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 131 | C22×C3×C8 | C23 | 1 | 2 | yes | — |
| 132 | C3×#127 | — | 2 | 1 | no | — |
| 133 | C3×#127 | — | 2 | 1 | no | — |
| 134 | C3×#127 | C23 | 1 | 2 | yes | — |
| 135 | C3×#127 | C23 | 1 | 2 | yes | — |
| 136 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 137 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 138 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 139 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 140 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 141 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×C3×C42 | — | 2 | 1 | no | — |
| 143 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 144 | #953 | — | 2 | 4 | no | — |
| 145 | C2×#217 | — | 2 | 4 | no | — |
| 146 | Q8×Dic3 | — | 2 | 1 | no | — |
| 147 | Q8×Dic3 | — | 2 | 1 | no | — |
| 148 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 149 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 150 | #940 | — | 2 | 2 | no | — |
| 151 | #939 | — | 2 | 4 | no | — |
| 152 | #939 | — | 2 | 4 | no | — |
| 153 | #938 | — | 2 | 2 | no | — |
| 154 | #938 | — | 2 | 2 | no | — |
| 155 | #938 | C23 | 1 | 4 | yes | — |
| 156 | #938 | C23 | 1 | 4 | yes | — |
| 157 | #936 | — | 2 | 2 | no | — |
| 158 | #936 | — | 2 | 2 | no | — |
| 159 | #936 | — | 2 | 2 | no | — |
| 160 | #935 | — | 2 | 4 | no | — |
| 161 | #935 | — | 2 | 4 | no | — |
| 162 | D4×Dic3 | — | 2 | 2 | no | — |
| 163 | D4×Dic3 | — | 2 | 2 | no | — |
| 164 | D4×Dic3 | — | 2 | 2 | no | — |
| 165 | D4×Dic3 | — | 2 | 2 | no | — |
| 166 | D4×Dic3 | C23 | 1 | 4 | yes | — |
| 167 | D4×Dic3 | C23 | 1 | 4 | yes | — |
| 168 | C2×#214 | C23 | 1 | 4 | yes | — |
| 169 | #932 | — | 2 | 8 | no | — |
| 170 | C2×#213 | C23 | 1 | 4 | yes | — |
| 171 | C4×#67 | — | 2 | 1 | no | — |
| 172 | C4×#67 | — | 2 | 1 | no | — |
| 173 | C4×#67 | — | 2 | 2 | no | — |
| 174 | C4×#67 | — | 2 | 2 | no | — |
| 175 | C4×#67 | D4 | 1 | 2 | yes | — |
| 176 | C4×#67 | D4 | 1 | 2 | yes | — |
| 177 | #926 | — | 2 | 2 | no | — |
| 178 | #926 | C23 | 1 | 2 | yes | — |
| 179 | #926 | C23 | 1 | 1 | yes | characteristic |
| 180 | #926 | C23 | 1 | 1 | yes | characteristic |
| 181 | #924 | — | 2 | 1 | no | — |
| 182 | #924 | — | 2 | 1 | no | — |
| 183 | C2×#208 | C23 | 1 | 2 | yes | — |
| 184 | #893 | — | 2 | 1 | no | — |
| 185 | #893 | — | 2 | 2 | no | — |
| 186 | #893 | — | 2 | 2 | no | — |
| 187 | #893 | C23 | 1 | 2 | yes | — |
| 188 | #892 | — | 2 | 2 | no | — |
| 189 | #892 | — | 2 | 1 | no | — |
| 190 | #892 | — | 2 | 2 | no | — |
| 191 | #892 | C23 | 1 | 2 | yes | — |
| 192 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 193 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 194 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 195 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 196 | #887 | — | 2 | 1 | no | — |
| 197 | #887 | — | 2 | 2 | no | — |
| 198 | #887 | — | 2 | 2 | no | — |
| 199 | #887 | C23 | 1 | 2 | yes | — |
| 200 | C4×D12 | — | 2 | 2 | no | — |
| 201 | C4×D12 | — | 2 | 2 | no | — |
| 202 | C4×D12 | D4 | 1 | 1 | yes | characteristic |
| 203 | C4×D12 | D4 | 1 | 1 | yes | characteristic |
| 204 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 205 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 206 | #872 | — | 2 | 1 | no | — |
| 207 | #872 | — | 2 | 2 | no | — |
| 208 | #872 | — | 2 | 2 | no | — |
| 209 | #872 | C23 | 1 | 2 | yes | — |
| 210 | C42×D3 | — | 2 | 2 | no | — |
| 211 | C42×D3 | — | 2 | 1 | no | — |
| 212 | C42×D3 | — | 2 | 2 | no | — |
| 213 | C42×D3 | C23 | 1 | 2 | yes | — |
| 214 | #870 | C23 | 1 | 2 | yes | — |
| 215 | #869 | C23 | 1 | 1 | yes | characteristic |
| 216 | #869 | C23 | 1 | 1 | yes | characteristic |
| 217 | C4×Dic6 | — | 2 | 1 | no | — |
| 218 | C4×Dic6 | — | 2 | 1 | no | — |
| 219 | C4×Dic6 | — | 2 | 2 | no | — |
| 220 | C4×Dic6 | — | 2 | 2 | no | — |
| 221 | C4×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 222 | C4×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 223 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 224 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 225 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 226 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 227 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 228 | C3×#102 | C23 | 1 | 4 | yes | — |
| 229 | C3×#102 | C23 | 1 | 4 | yes | — |
| 230 | #835 | C23 | 1 | 4 | yes | — |
| 231 | #835 | C23 | 1 | 4 | yes | — |
| 232 | #832 | C23 | 1 | 4 | yes | — |
| 233 | #832 | C23 | 1 | 4 | yes | — |
| 234 | #821 | C23 | 1 | 2 | yes | — |
| 235 | #821 | C23 | 1 | 2 | yes | — |
| 236 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | — |
| 237 | (C2×D3)⋊C8 | C23 | 1 | 4 | yes | — |
| 238 | #818 | C23 | 1 | 2 | yes | — |
| 239 | #818 | C23 | 1 | 2 | yes | — |
| 240 | #817 | C23 | 1 | 2 | yes | — |
| 241 | #817 | C23 | 1 | 2 | yes | — |
| 242 | #816 | C23 | 1 | 2 | yes | — |
| 243 | #816 | C23 | 1 | 2 | yes | — |
| 244 | #815 | C23 | 1 | 4 | yes | — |
| 245 | C8×Dic3 | C23 | 1 | 4 | yes | — |
| 246 | #808 | C23 | 1 | 4 | yes | — |
| 247 | #807 | C23 | 1 | 4 | yes | — |
| 248 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 249 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 250 | C2×2−1+4 | — | 3 | 1 | no | — |
| 251 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 252 | C22×SD16 | C2×D3 | 1 | 2 | yes | — |
| 253 | #559 | — | 6 | 1 | no | — |
| 254 | #559 | — | 6 | 1 | no | — |
| 255 | #550 | — | 6 | 1 | no | — |
| 256 | #550 | — | 6 | 1 | no | — |
| 257 | #546 | — | 6 | 2 | no | — |
| 258 | #546 | — | 6 | 2 | no | — |
| 259 | #540 | — | 3 | 4 | no | — |
| 260 | #535 | — | 3 | 2 | no | — |
| 261 | #533 | — | 3 | 1 | no | — |
| 262 | #532 | — | 3 | 2 | no | — |
| 263 | #532 | — | 3 | 2 | no | — |
| 264 | C2×#127 | C2×D3 | 1 | 1 | yes | characteristic |
| 265 | #520 | — | 3 | 1 | no | — |
| 266 | #520 | — | 3 | 2 | no | — |
| 267 | #520 | — | 3 | 1 | no | — |
| 268 | #520 | — | 6 | 2 | no | — |
| 269 | #520 | — | 6 | 1 | no | — |
| 270 | #519 | — | 3 | 1 | no | — |
| 271 | #519 | — | 3 | 2 | no | — |
| 272 | #519 | — | 6 | 1 | no | — |
| 273 | #518 | — | 3 | 2 | no | — |
| 274 | C4×#41 | — | 3 | 1 | no | — |
| 275 | C4×#41 | — | 3 | 2 | no | — |
| 276 | C4×#41 | — | 3 | 1 | no | — |
| 277 | C4×#41 | — | 6 | 2 | no | — |
| 278 | C4×#41 | — | 6 | 1 | no | — |
| 279 | C2×C4×Q8 | — | 3 | 2 | no | — |
| 280 | C2×C4×Q8 | — | 6 | 1 | no | — |
| 281 | C2×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 282 | #482 | — | 3 | 4 | no | — |
| 283 | #482 | — | 3 | 4 | no | — |
| 284 | #481 | — | 3 | 4 | no | — |
| 285 | #480 | — | 3 | 4 | no | — |
| 286 | #479 | — | 3 | 4 | no | — |
| 287 | #479 | — | 3 | 2 | no | — |
| 288 | #478 | — | 3 | 2 | no | — |
| 289 | #477 | — | 3 | 2 | no | — |
| 290 | #477 | — | 3 | 1 | no | — |
| 291 | #476 | — | 3 | 1 | no | — |
| 292 | #475 | — | 3 | 2 | no | — |
| 293 | #475 | — | 3 | 1 | no | — |
| 294 | #474 | — | 3 | 1 | no | — |
| 295 | #460 | — | 3 | 2 | no | — |
| 296 | #460 | — | 3 | 2 | no | — |
| 297 | #460 | C2×D3 | 1 | 2 | yes | — |
| 298 | #460 | C2×D3 | 1 | 2 | yes | — |
| 299 | #460 | C2×D3 | 1 | 4 | yes | — |
| 300 | #459 | — | 3 | 2 | no | — |
| 301 | #459 | — | 3 | 2 | no | — |
| 302 | #449 | — | 3 | 4 | no | — |
| 303 | #449 | — | 3 | 4 | no | — |
| 304 | #448 | — | 3 | 4 | no | — |
| 305 | #448 | — | 3 | 4 | no | — |
| 306 | #442 | — | 3 | 4 | no | — |
| 307 | #440 | — | 3 | 4 | no | — |
| 308 | #440 | — | 3 | 4 | no | — |
| 309 | #440 | — | 3 | 4 | no | — |
| 310 | C4×SD16 | — | 3 | 4 | no | — |
| 311 | C4×SD16 | — | 3 | 4 | no | — |
| 312 | C4×SD16 | — | 3 | 4 | no | — |
| 313 | C4×D8 | — | 3 | 4 | no | — |
| 314 | #433 | — | 3 | 4 | no | — |
| 315 | #432 | — | 3 | 2 | no | — |
| 316 | #431 | — | 3 | 2 | no | — |
| 317 | #428 | — | 3 | 2 | no | — |
| 318 | #427 | — | 3 | 2 | no | — |
| 319 | #423 | — | 3 | 1 | no | — |
| 320 | C2×C4⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 321 | #419 | — | 3 | 2 | no | — |
| 322 | #418 | — | 3 | 2 | no | — |
| 323 | #416 | — | 3 | 2 | no | — |
| 324 | C2×#102 | C2×D3 | 1 | 2 | yes | — |
| 325 | #408 | — | 3 | 2 | no | — |
| 326 | #405 | — | 3 | 2 | no | — |
| 327 | C24×C3 | — | 2 | 2 | no | — |
| 328 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 329 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 330 | C2×C3×Q8 | #41 | 1 | 4 | yes | complemented |
| 331 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 332 | C2×C3×D4 | — | 2 | 2 | no | — |
| 333 | C2×C3×D4 | — | 2 | 2 | no | — |
| 334 | C2×C3×D4 | — | 2 | 2 | no | — |
| 335 | C2×C3×D4 | — | 2 | 2 | no | — |
| 336 | C2×C3×D4 | — | 2 | 2 | no | — |
| 337 | C2×C3×D4 | — | 2 | 4 | no | — |
| 338 | C2×C3×D4 | — | 2 | 4 | no | — |
| 339 | C2×C3×D4 | — | 8 | 2 | no | — |
| 340 | C2×C3×D4 | — | 8 | 2 | no | — |
| 341 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 342 | C22×C3×C4 | — | 2 | 1 | no | — |
| 343 | C22×C3×C4 | — | 2 | 1 | no | — |
| 344 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 345 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 346 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 347 | C2×#67 | — | 2 | 1 | no | — |
| 348 | C2×#67 | — | 2 | 4 | no | — |
| 349 | C2×#67 | — | 2 | 4 | no | — |
| 350 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 351 | C22×Dic3 | — | 2 | 4 | no | — |
| 352 | C22×Dic3 | — | 2 | 4 | no | — |
| 353 | #239 | — | 2 | 8 | no | — |
| 354 | #239 | — | 2 | 4 | no | — |
| 355 | #239 | — | 2 | 4 | no | — |
| 356 | D3×Q8 | — | 2 | 8 | no | — |
| 357 | D3×Q8 | — | 2 | 4 | no | — |
| 358 | D3×Q8 | — | 2 | 4 | no | — |
| 359 | #237 | — | 8 | 4 | no | — |
| 360 | #237 | — | 8 | 4 | no | — |
| 361 | #235 | — | 2 | 16 | no | — |
| 362 | #235 | — | 2 | 2 | no | — |
| 363 | #235 | — | 2 | 2 | no | — |
| 364 | #235 | — | 2 | 2 | no | — |
| 365 | #235 | #41 | 1 | 4 | yes | complemented |
| 366 | C2×D12 | — | 2 | 2 | no | — |
| 367 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 368 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 369 | C2×C4×D3 | — | 2 | 2 | no | — |
| 370 | C2×C4×D3 | — | 2 | 1 | no | — |
| 371 | C2×C4×D3 | — | 2 | 2 | no | — |
| 372 | C2×C4×D3 | — | 2 | 1 | no | — |
| 373 | C2×C4×D3 | — | 2 | 2 | no | — |
| 374 | C2×C4×D3 | — | 2 | 1 | no | — |
| 375 | C2×C4×D3 | — | 2 | 2 | no | — |
| 376 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 377 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 378 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 379 | C2×Dic6 | — | 2 | 2 | no | — |
| 380 | C2×Dic6 | — | 2 | 1 | no | — |
| 381 | C2×Dic6 | — | 2 | 1 | no | — |
| 382 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 383 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 384 | C3×SD16 | — | 2 | 8 | no | — |
| 385 | C3×SD16 | — | 2 | 8 | no | — |
| 386 | C2×C3×C8 | — | 2 | 4 | no | — |
| 387 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 388 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 389 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 390 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 391 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 392 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 393 | C3×C42 | — | 2 | 2 | no | — |
| 394 | C3×C42 | — | 2 | 2 | no | — |
| 395 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 396 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 397 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 398 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 399 | #217 | — | 2 | 2 | no | — |
| 400 | #217 | — | 2 | 1 | no | — |
| 401 | #217 | — | 2 | 4 | no | — |
| 402 | #217 | — | 2 | 4 | no | — |
| 403 | #217 | — | 2 | 4 | no | — |
| 404 | #217 | — | 2 | 4 | no | — |
| 405 | #217 | C2×D4 | 1 | 2 | yes | — |
| 406 | #214 | — | 2 | 8 | no | — |
| 407 | #213 | — | 2 | 8 | no | — |
| 408 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 409 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 410 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 411 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 412 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 413 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 414 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 415 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 416 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 417 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 418 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 419 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 420 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 421 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 422 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 423 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 424 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 425 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 426 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 427 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 428 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 429 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 430 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 431 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 432 | C4×Dic3 | — | 2 | 1 | no | — |
| 433 | C4×Dic3 | — | 2 | 2 | no | — |
| 434 | C4×Dic3 | — | 2 | 1 | no | — |
| 435 | C4×Dic3 | — | 2 | 1 | no | — |
| 436 | C4×Dic3 | — | 2 | 2 | no | — |
| 437 | C4×Dic3 | — | 2 | 2 | no | — |
| 438 | C4×Dic3 | — | 2 | 2 | no | — |
| 439 | C4×Dic3 | — | 2 | 2 | no | — |
| 440 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 441 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 442 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 443 | #208 | — | 2 | 4 | no | — |
| 444 | C2×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 445 | 2−1+4 | — | 6 | 4 | no | — |
| 446 | 2−1+4 | — | 6 | 4 | no | — |
| 447 | C2×#41 | — | 3 | 1 | no | — |
| 448 | C2×#41 | — | 3 | 2 | no | — |
| 449 | C2×#41 | — | 3 | 1 | no | — |
| 450 | C2×#41 | — | 6 | 2 | no | — |
| 451 | C2×#41 | — | 6 | 2 | no | — |
| 452 | C2×#41 | — | 6 | 2 | no | — |
| 453 | C2×#41 | — | 6 | 1 | no | — |
| 454 | C22×Q8 | — | 3 | 2 | no | — |
| 455 | C22×Q8 | — | 6 | 1 | no | — |
| 456 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 457 | C22×D4 | — | 2 | 1 | no | — |
| 458 | C22×D4 | — | 2 | 1 | no | — |
| 459 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 460 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 461 | C2×SD16 | — | 2 | 8 | no | — |
| 462 | C2×SD16 | — | 3 | 4 | no | — |
| 463 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 464 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 465 | C2×D8 | — | 3 | 4 | no | — |
| 466 | C2×M16 | — | 3 | 2 | no | — |
| 467 | C22×C8 | C22×D3 | 1 | 2 | yes | — |
| 468 | C4⋊Q8 | — | 3 | 1 | no | — |
| 469 | C4⋊Q8 | — | 3 | 1 | no | — |
| 470 | #127 | — | 2 | 1 | no | — |
| 471 | #127 | — | 2 | 1 | no | — |
| 472 | #127 | — | 6 | 2 | no | — |
| 473 | #127 | C22×D3 | 1 | 2 | yes | — |
| 474 | #127 | C22×D3 | 1 | 2 | yes | — |
| 475 | #125 | — | 3 | 2 | no | — |
| 476 | #124 | — | 6 | 2 | no | — |
| 477 | #124 | — | 6 | 2 | no | — |
| 478 | #124 | — | 6 | 2 | no | — |
| 479 | #123 | — | 6 | 4 | no | — |
| 480 | #123 | — | 6 | 4 | no | — |
| 481 | C22⋊Q8 | — | 6 | 1 | no | — |
| 482 | C22⋊Q8 | — | 6 | 1 | no | — |
| 483 | #121 | — | 3 | 4 | no | — |
| 484 | #121 | — | 3 | 4 | no | — |
| 485 | #121 | — | 6 | 4 | no | — |
| 486 | #121 | — | 6 | 4 | no | — |
| 487 | #121 | — | 6 | 2 | no | — |
| 488 | #121 | — | 6 | 2 | no | — |
| 489 | #120 | — | 6 | 4 | no | — |
| 490 | C4×Q8 | — | 2 | 1 | no | — |
| 491 | C4×Q8 | — | 2 | 1 | no | — |
| 492 | C4×Q8 | — | 3 | 1 | no | — |
| 493 | C4×Q8 | — | 3 | 1 | no | — |
| 494 | C4×Q8 | — | 3 | 2 | no | — |
| 495 | C4×Q8 | — | 3 | 2 | no | — |
| 496 | C4×Q8 | — | 3 | 2 | no | — |
| 497 | C4×Q8 | — | 3 | 1 | no | — |
| 498 | C4×Q8 | — | 3 | 1 | no | — |
| 499 | C4×Q8 | — | 6 | 2 | no | — |
| 500 | C4×Q8 | — | 6 | 2 | no | — |
| 501 | C4×Q8 | — | 6 | 2 | no | — |
| 502 | C4×Q8 | — | 6 | 2 | no | — |
| 503 | C4×Q8 | — | 6 | 1 | no | — |
| 504 | C4×Q8 | — | 6 | 1 | no | — |
| 505 | C4×Q8 | — | 6 | 1 | no | — |
| 506 | C4×Q8 | — | 6 | 1 | no | — |
| 507 | C4×Q8 | — | 6 | 1 | no | — |
| 508 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 509 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 510 | C4×D4 | — | 3 | 2 | no | — |
| 511 | C4×D4 | — | 3 | 2 | no | — |
| 512 | C4×D4 | — | 3 | 4 | no | — |
| 513 | C4×D4 | — | 3 | 4 | no | — |
| 514 | C4×D4 | — | 3 | 2 | no | — |
| 515 | C4×D4 | — | 3 | 1 | no | — |
| 516 | C4×D4 | — | 3 | 1 | no | — |
| 517 | C4×D4 | — | 3 | 1 | no | — |
| 518 | C4×D4 | — | 3 | 1 | no | — |
| 519 | C4×D4 | — | 6 | 2 | no | — |
| 520 | C4×D4 | — | 6 | 2 | no | — |
| 521 | C4×D4 | — | 6 | 2 | no | — |
| 522 | C4×D4 | — | 6 | 2 | no | — |
| 523 | C4×D4 | — | 6 | 2 | no | — |
| 524 | C4×D4 | — | 6 | 2 | no | — |
| 525 | C4×D4 | — | 6 | 2 | no | — |
| 526 | C4×D4 | — | 6 | 1 | no | — |
| 527 | C4×D4 | — | 6 | 2 | no | — |
| 528 | C4×D4 | — | 6 | 2 | no | — |
| 529 | C4×D4 | — | 6 | 2 | no | — |
| 530 | C4×D4 | — | 6 | 1 | no | — |
| 531 | C4×D4 | — | 6 | 1 | no | — |
| 532 | #117 | — | 3 | 1 | no | — |
| 533 | #117 | — | 3 | 2 | no | — |
| 534 | #117 | — | 3 | 1 | no | — |
| 535 | #117 | — | 3 | 2 | no | — |
| 536 | #117 | — | 3 | 2 | no | — |
| 537 | #117 | — | 6 | 2 | no | — |
| 538 | #117 | — | 6 | 2 | no | — |
| 539 | #117 | — | 6 | 2 | no | — |
| 540 | #117 | — | 6 | 2 | no | — |
| 541 | #117 | — | 6 | 2 | no | — |
| 542 | #117 | — | 6 | 1 | no | — |
| 543 | #117 | — | 6 | 1 | no | — |
| 544 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 545 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 546 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 547 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 548 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 549 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 550 | C2×C22⋊C4 | — | 6 | 4 | no | — |
| 551 | C2×C42 | — | 2 | 1 | no | — |
| 552 | C2×C42 | — | 3 | 2 | no | — |
| 553 | C2×C42 | — | 6 | 2 | no | — |
| 554 | C2×C42 | — | 6 | 2 | no | — |
| 555 | C2×C42 | — | 6 | 1 | no | — |
| 556 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 557 | #107 | — | 3 | 2 | no | — |
| 558 | #107 | — | 3 | 2 | no | — |
| 559 | #107 | — | 3 | 4 | no | — |
| 560 | #106 | — | 3 | 2 | no | — |
| 561 | #106 | — | 3 | 2 | no | — |
| 562 | #106 | — | 3 | 4 | no | — |
| 563 | C4⋊C8 | — | 3 | 2 | no | — |
| 564 | C4⋊C8 | — | 3 | 2 | no | — |
| 565 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 566 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 567 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 568 | #103 | — | 3 | 4 | no | — |
| 569 | #103 | — | 3 | 4 | no | — |
| 570 | #103 | — | 3 | 2 | no | — |
| 571 | #103 | — | 3 | 2 | no | — |
| 572 | #102 | — | 3 | 4 | no | — |
| 573 | #102 | — | 3 | 4 | no | — |
| 574 | #102 | — | 3 | 2 | no | — |
| 575 | #102 | — | 3 | 2 | no | — |
| 576 | #102 | C22×D3 | 1 | 4 | yes | — |
| 577 | #102 | C22×D3 | 1 | 4 | yes | — |
| 578 | C22⋊C8 | — | 3 | 4 | no | — |
| 579 | C22⋊C8 | — | 3 | 4 | no | — |
| 580 | #97 | — | 3 | 4 | no | — |
| 581 | C4×C8 | — | 3 | 4 | no | — |
| 582 | C23×C3 | — | 2 | 4 | no | — |
| 583 | C23×C3 | — | 4 | 4 | no | — |
| 584 | C23×C3 | — | 8 | 2 | no | — |
| 585 | C23×C3 | — | 8 | 2 | no | — |
| 586 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 587 | C22×D3 | — | 2 | 1 | no | — |
| 588 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 589 | C3×Q8 | — | 2 | 4 | no | — |
| 590 | C3×Q8 | — | 2 | 2 | no | — |
| 591 | C3×Q8 | C2×#41 | 1 | 4 | yes | — |
| 592 | C3×D4 | — | 2 | 4 | no | — |
| 593 | C3×D4 | — | 2 | 4 | no | — |
| 594 | C3×D4 | — | 4 | 4 | no | — |
| 595 | C3×D4 | — | 4 | 4 | no | — |
| 596 | C3×D4 | — | 4 | 4 | no | — |
| 597 | C3×D4 | — | 8 | 2 | no | — |
| 598 | C3×D4 | — | 8 | 2 | no | — |
| 599 | C2×C3×C4 | — | 2 | 4 | no | — |
| 600 | C2×C3×C4 | — | 2 | 2 | no | — |
| 601 | C2×C3×C4 | — | 2 | 2 | no | — |
| 602 | C2×C3×C4 | — | 2 | 2 | no | — |
| 603 | C2×C3×C4 | — | 4 | 1 | no | — |
| 604 | C2×C3×C4 | — | 8 | 1 | no | — |
| 605 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 606 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 607 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 608 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 609 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 610 | C2×C3×C4 | C2×#41 | 1 | 2 | yes | — |
| 611 | C2×C3×C4 | C2×#41 | 1 | 2 | yes | — |
| 612 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 613 | #67 | — | 2 | 4 | no | — |
| 614 | #67 | — | 2 | 4 | no | — |
| 615 | #67 | — | 8 | 4 | no | — |
| 616 | #67 | — | 8 | 4 | no | — |
| 617 | C2×Dic3 | — | 2 | 1 | no | — |
| 618 | C2×Dic3 | — | 2 | 1 | no | — |
| 619 | C2×Dic3 | — | 2 | 1 | no | — |
| 620 | C2×Dic3 | — | 2 | 2 | no | — |
| 621 | C2×Dic3 | — | 2 | 2 | no | — |
| 622 | C2×Dic3 | — | 8 | 4 | no | — |
| 623 | C2×Dic3 | — | 8 | 4 | no | — |
| 624 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 625 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 626 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 627 | D12 | — | 2 | 8 | no | — |
| 628 | D12 | — | 2 | 2 | no | — |
| 629 | D12 | — | 2 | 1 | no | — |
| 630 | D12 | C2×#41 | 1 | 2 | yes | — |
| 631 | C4×D3 | — | 2 | 8 | no | — |
| 632 | C4×D3 | — | 2 | 8 | no | — |
| 633 | C4×D3 | — | 2 | 4 | no | — |
| 634 | C4×D3 | — | 2 | 4 | no | — |
| 635 | C4×D3 | — | 2 | 2 | no | — |
| 636 | C4×D3 | — | 2 | 2 | no | — |
| 637 | C4×D3 | — | 4 | 2 | no | — |
| 638 | C4×D3 | — | 4 | 2 | no | — |
| 639 | C4×D3 | — | 8 | 2 | no | — |
| 640 | C4×D3 | — | 8 | 1 | no | — |
| 641 | C4×D3 | — | 8 | 2 | no | — |
| 642 | Dic6 | — | 2 | 8 | no | — |
| 643 | Dic6 | — | 2 | 2 | no | — |
| 644 | Dic6 | — | 2 | 1 | no | — |
| 645 | Dic6 | — | 4 | 2 | no | — |
| 646 | Dic6 | — | 4 | 2 | no | — |
| 647 | Dic6 | C2×#41 | 1 | 2 | yes | — |
| 648 | C3×C8 | — | 2 | 2 | no | — |
| 649 | C3×C8 | — | 2 | 2 | no | — |
| 650 | C3⋊C8 | — | 2 | 4 | no | — |
| 651 | C24 | — | 2 | 2 | no | — |
| 652 | #41 | — | 3 | 4 | no | — |
| 653 | #41 | — | 6 | 16 | no | — |
| 654 | #41 | — | 6 | 4 | no | — |
| 655 | #41 | — | 6 | 8 | no | — |
| 656 | #41 | — | 6 | 4 | no | — |
| 657 | #41 | — | 6 | 2 | no | — |
| 658 | #41 | — | 6 | 2 | no | — |
| 659 | #41 | — | 6 | 2 | no | — |
| 660 | #41 | — | 24 | 4 | no | — |
| 661 | #41 | — | 24 | 4 | no | — |
| 662 | C2×Q8 | — | 2 | 1 | no | — |
| 663 | C2×Q8 | — | 2 | 2 | no | — |
| 664 | C2×Q8 | — | 3 | 1 | no | — |
| 665 | C2×Q8 | — | 3 | 1 | no | — |
| 666 | C2×Q8 | — | 6 | 2 | no | — |
| 667 | C2×Q8 | — | 6 | 4 | no | — |
| 668 | C2×Q8 | — | 6 | 8 | no | — |
| 669 | C2×Q8 | — | 6 | 4 | no | — |
| 670 | C2×Q8 | — | 6 | 1 | no | — |
| 671 | C2×Q8 | — | 6 | 1 | no | — |
| 672 | C2×Q8 | #237 | 1 | 4 | yes | complemented |
| 673 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 674 | C2×D4 | — | 2 | 2 | no | — |
| 675 | C2×D4 | — | 2 | 2 | no | — |
| 676 | C2×D4 | — | 2 | 2 | no | — |
| 677 | C2×D4 | — | 2 | 2 | no | — |
| 678 | C2×D4 | — | 2 | 2 | no | — |
| 679 | C2×D4 | — | 2 | 4 | no | — |
| 680 | C2×D4 | — | 2 | 4 | no | — |
| 681 | C2×D4 | — | 3 | 2 | no | — |
| 682 | C2×D4 | — | 3 | 1 | no | — |
| 683 | C2×D4 | — | 3 | 1 | no | — |
| 684 | C2×D4 | — | 6 | 2 | no | — |
| 685 | C2×D4 | — | 6 | 1 | no | — |
| 686 | C2×D4 | — | 6 | 4 | no | — |
| 687 | C2×D4 | — | 6 | 4 | no | — |
| 688 | C2×D4 | — | 8 | 2 | no | — |
| 689 | C2×D4 | — | 8 | 2 | no | — |
| 690 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 691 | C22×C4 | — | 2 | 1 | no | — |
| 692 | C22×C4 | — | 2 | 1 | no | — |
| 693 | C22×C4 | — | 3 | 2 | no | — |
| 694 | C22×C4 | — | 3 | 2 | no | — |
| 695 | C22×C4 | — | 3 | 2 | no | — |
| 696 | C22×C4 | — | 6 | 2 | no | — |
| 697 | C22×C4 | — | 6 | 2 | no | — |
| 698 | C22×C4 | — | 6 | 2 | no | — |
| 699 | C22×C4 | — | 6 | 2 | no | — |
| 700 | C22×C4 | — | 6 | 4 | no | — |
| 701 | C22×C4 | — | 6 | 4 | no | — |
| 702 | C22×C4 | — | 6 | 1 | no | — |
| 703 | C22×C4 | — | 6 | 1 | no | — |
| 704 | C22×C4 | — | 6 | 1 | no | — |
| 705 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 706 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 707 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 708 | SD16 | — | 2 | 8 | no | — |
| 709 | SD16 | — | 2 | 8 | no | — |
| 710 | SD16 | — | 6 | 8 | no | — |
| 711 | D8 | — | 6 | 8 | no | — |
| 712 | M16 | — | 6 | 4 | no | — |
| 713 | C2×C8 | — | 2 | 4 | no | — |
| 714 | C2×C8 | — | 3 | 4 | no | — |
| 715 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 716 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 717 | C4⋊C4 | — | 2 | 2 | no | — |
| 718 | C4⋊C4 | — | 2 | 2 | no | — |
| 719 | C4⋊C4 | — | 2 | 1 | no | — |
| 720 | C4⋊C4 | — | 3 | 1 | no | — |
| 721 | C4⋊C4 | — | 3 | 2 | no | — |
| 722 | C4⋊C4 | — | 3 | 1 | no | — |
| 723 | C4⋊C4 | — | 3 | 2 | no | — |
| 724 | C4⋊C4 | — | 3 | 1 | no | — |
| 725 | C4⋊C4 | — | 3 | 1 | no | — |
| 726 | C4⋊C4 | — | 3 | 2 | no | — |
| 727 | C4⋊C4 | — | 3 | 2 | no | — |
| 728 | C4⋊C4 | — | 6 | 2 | no | — |
| 729 | C4⋊C4 | — | 6 | 2 | no | — |
| 730 | C4⋊C4 | — | 6 | 2 | no | — |
| 731 | C4⋊C4 | — | 6 | 2 | no | — |
| 732 | C4⋊C4 | — | 6 | 1 | no | — |
| 733 | C4⋊C4 | — | 6 | 1 | no | — |
| 734 | C4⋊C4 | — | 6 | 1 | no | — |
| 735 | C4⋊C4 | — | 6 | 1 | no | — |
| 736 | C4⋊C4 | — | 6 | 2 | no | — |
| 737 | C4⋊C4 | — | 6 | 2 | no | — |
| 738 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 739 | C22⋊C4 | — | 3 | 2 | no | — |
| 740 | C22⋊C4 | — | 3 | 2 | no | — |
| 741 | C22⋊C4 | — | 3 | 2 | no | — |
| 742 | C22⋊C4 | — | 6 | 2 | no | — |
| 743 | C22⋊C4 | — | 6 | 2 | no | — |
| 744 | C22⋊C4 | — | 6 | 4 | no | — |
| 745 | C22⋊C4 | — | 6 | 4 | no | — |
| 746 | C22⋊C4 | — | 6 | 4 | no | — |
| 747 | C22⋊C4 | — | 6 | 4 | no | — |
| 748 | C22⋊C4 | — | 6 | 2 | no | — |
| 749 | C22⋊C4 | — | 6 | 1 | no | — |
| 750 | C22⋊C4 | — | 6 | 1 | no | — |
| 751 | C22⋊C4 | — | 6 | 1 | no | — |
| 752 | C42 | — | 2 | 2 | no | — |
| 753 | C42 | — | 2 | 2 | no | — |
| 754 | C42 | — | 3 | 2 | no | — |
| 755 | C42 | — | 3 | 2 | no | — |
| 756 | C42 | — | 3 | 2 | no | — |
| 757 | C42 | — | 6 | 2 | no | — |
| 758 | C42 | — | 6 | 2 | no | — |
| 759 | C42 | — | 6 | 2 | no | — |
| 760 | C42 | — | 6 | 2 | no | — |
| 761 | C42 | — | 6 | 1 | no | — |
| 762 | C42 | — | 6 | 1 | no | — |
| 763 | C42 | — | 6 | 1 | no | — |
| 764 | C42 | — | 6 | 2 | no | — |
| 765 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 766 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 767 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 768 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 769 | C22×C3 | — | 2 | 1 | no | — |
| 770 | C22×C3 | — | 2 | 1 | no | — |
| 771 | C22×C3 | — | 4 | 4 | no | — |
| 772 | C22×C3 | — | 4 | 4 | no | — |
| 773 | C22×C3 | — | 4 | 4 | no | — |
| 774 | C22×C3 | — | 16 | 4 | no | — |
| 775 | C22×C3 | #525 | 1 | 2 | yes | — |
| 776 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 777 | C2×D3 | — | 2 | 2 | no | — |
| 778 | C2×D3 | — | 2 | 2 | no | — |
| 779 | C2×D3 | — | 2 | 2 | no | — |
| 780 | C2×D3 | — | 2 | 2 | no | — |
| 781 | C2×D3 | — | 4 | 1 | no | — |
| 782 | C2×D3 | — | 4 | 1 | no | — |
| 783 | C3×C4 | — | 2 | 1 | no | — |
| 784 | C3×C4 | — | 2 | 1 | no | — |
| 785 | C3×C4 | — | 2 | 4 | no | — |
| 786 | C3×C4 | — | 2 | 1 | no | — |
| 787 | C3×C4 | — | 4 | 2 | no | — |
| 788 | C3×C4 | #525 | 1 | 2 | yes | — |
| 789 | C3×C4 | #577 | 1 | 2 | yes | — |
| 790 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 791 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 792 | Dic3 | — | 2 | 2 | no | — |
| 793 | Dic3 | — | 2 | 2 | no | — |
| 794 | Dic3 | — | 2 | 2 | no | — |
| 795 | Dic3 | — | 2 | 2 | no | — |
| 796 | Dic3 | — | 4 | 2 | no | — |
| 797 | Dic3 | — | 4 | 1 | no | — |
| 798 | Dic3 | — | 4 | 2 | no | — |
| 799 | Dic3 | — | 4 | 1 | no | — |
| 800 | C23 | — | 2 | 4 | no | — |
| 801 | C23 | — | 3 | 2 | no | — |
| 802 | C23 | — | 4 | 4 | no | — |
| 803 | C23 | — | 6 | 1 | no | — |
| 804 | C23 | — | 8 | 2 | no | — |
| 805 | C23 | — | 8 | 2 | no | — |
| 806 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 807 | Q8 | — | 2 | 2 | no | — |
| 808 | Q8 | — | 2 | 4 | no | — |
| 809 | Q8 | — | 3 | 2 | no | — |
| 810 | Q8 | — | 6 | 8 | no | — |
| 811 | Q8 | — | 6 | 1 | no | — |
| 812 | Q8 | — | 6 | 2 | no | — |
| 813 | Q8 | — | 12 | 2 | no | — |
| 814 | Q8 | — | 12 | 2 | no | — |
| 815 | Q8 | C2×#237 | 1 | 4 | yes | — |
| 816 | D4 | — | 2 | 4 | no | — |
| 817 | D4 | — | 2 | 4 | no | — |
| 818 | D4 | — | 3 | 2 | no | — |
| 819 | D4 | — | 4 | 4 | no | — |
| 820 | D4 | — | 4 | 4 | no | — |
| 821 | D4 | — | 4 | 4 | no | — |
| 822 | D4 | — | 6 | 8 | no | — |
| 823 | D4 | — | 6 | 4 | no | — |
| 824 | D4 | — | 6 | 4 | no | — |
| 825 | D4 | — | 6 | 1 | no | — |
| 826 | D4 | — | 6 | 2 | no | — |
| 827 | D4 | — | 8 | 2 | no | — |
| 828 | D4 | — | 8 | 2 | no | — |
| 829 | D4 | — | 24 | 4 | no | — |
| 830 | D4 | — | 24 | 4 | no | — |
| 831 | C2×C4 | — | 2 | 2 | no | — |
| 832 | C2×C4 | — | 2 | 4 | no | — |
| 833 | C2×C4 | — | 2 | 2 | no | — |
| 834 | C2×C4 | — | 2 | 2 | no | — |
| 835 | C2×C4 | — | 3 | 2 | no | — |
| 836 | C2×C4 | — | 3 | 2 | no | — |
| 837 | C2×C4 | — | 3 | 2 | no | — |
| 838 | C2×C4 | — | 4 | 1 | no | — |
| 839 | C2×C4 | — | 6 | 8 | no | — |
| 840 | C2×C4 | — | 6 | 8 | no | — |
| 841 | C2×C4 | — | 6 | 1 | no | — |
| 842 | C2×C4 | — | 6 | 2 | no | — |
| 843 | C2×C4 | — | 6 | 2 | no | — |
| 844 | C2×C4 | — | 6 | 4 | no | — |
| 845 | C2×C4 | — | 6 | 4 | no | — |
| 846 | C2×C4 | — | 6 | 1 | no | — |
| 847 | C2×C4 | — | 6 | 1 | no | — |
| 848 | C2×C4 | — | 6 | 2 | no | — |
| 849 | C2×C4 | — | 6 | 2 | no | — |
| 850 | C2×C4 | — | 8 | 1 | no | — |
| 851 | C2×C4 | — | 12 | 2 | no | — |
| 852 | C2×C4 | — | 12 | 2 | no | — |
| 853 | C2×C4 | — | 24 | 1 | no | — |
| 854 | C2×C4 | — | 24 | 2 | no | — |
| 855 | C2×C4 | — | 24 | 2 | no | — |
| 856 | C2×C4 | — | 24 | 4 | no | — |
| 857 | C2×C4 | — | 24 | 4 | no | — |
| 858 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 859 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 860 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 861 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 862 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 863 | C2×C4 | C2×#237 | 1 | 2 | yes | — |
| 864 | C2×C4 | D3×#41 | 1 | 2 | yes | — |
| 865 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 866 | C8 | — | 2 | 2 | no | — |
| 867 | C8 | — | 2 | 2 | no | — |
| 868 | C8 | — | 6 | 4 | no | — |
| 869 | C2×C3 | — | 2 | 2 | no | — |
| 870 | C2×C3 | — | 8 | 4 | no | — |
| 871 | C2×C3 | C2×#525 | 1 | 1 | yes | characteristic |
| 872 | C2×C3 | C2×#577 | 1 | 1 | yes | characteristic |
| 873 | C2×C3 | #3585 | 1 | 1 | yes | characteristic |
| 874 | D3 | — | 4 | 2 | no | — |
| 875 | D3 | — | 4 | 2 | no | — |
| 876 | C22 | — | 2 | 1 | no | — |
| 877 | C22 | — | 2 | 1 | no | — |
| 878 | C22 | — | 4 | 4 | no | — |
| 879 | C22 | — | 4 | 4 | no | — |
| 880 | C22 | — | 4 | 4 | no | — |
| 881 | C22 | — | 6 | 2 | no | — |
| 882 | C22 | — | 6 | 2 | no | — |
| 883 | C22 | — | 6 | 2 | no | — |
| 884 | C22 | — | 6 | 2 | no | — |
| 885 | C22 | — | 12 | 1 | no | — |
| 886 | C22 | — | 12 | 1 | no | — |
| 887 | C22 | — | 16 | 4 | no | — |
| 888 | C22 | #5606 | 1 | 2 | yes | — |
| 889 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 890 | C4 | — | 2 | 1 | no | — |
| 891 | C4 | — | 2 | 1 | no | — |
| 892 | C4 | — | 2 | 1 | no | — |
| 893 | C4 | — | 2 | 4 | no | — |
| 894 | C4 | — | 4 | 2 | no | — |
| 895 | C4 | — | 6 | 2 | no | — |
| 896 | C4 | — | 6 | 2 | no | — |
| 897 | C4 | — | 6 | 2 | no | — |
| 898 | C4 | — | 6 | 2 | no | — |
| 899 | C4 | — | 12 | 1 | no | — |
| 900 | C4 | — | 12 | 2 | no | — |
| 901 | C4 | — | 12 | 1 | no | — |
| 902 | C4 | — | 12 | 2 | no | — |
| 903 | C4 | #5606 | 1 | 2 | yes | — |
| 904 | C4 | #5762 | 1 | 2 | yes | — |
| 905 | C4 | C22×#237 | 1 | 1 | yes | characteristic |
| 906 | C4 | C2×D3×#41 | 1 | 1 | yes | characteristic |
| 907 | C3 | #60593 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 908 | C2 | — | 2 | 2 | no | — |
| 909 | C2 | — | 8 | 4 | no | — |
| 910 | C2 | — | 12 | 2 | no | — |
| 911 | C2 | — | 12 | 2 | no | — |
| 912 | C2 | C2×#5606 | 1 | 1 | yes | characteristic |
| 913 | C2 | C2×#5762 | 1 | 1 | yes | characteristic |
| 914 | C2 | #87192 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86190 | C2 | semidirect |
| 2. C4×#1007 | C2 | semidirect |
| 3. C2×C3×#460 | C2 | semidirect |
| 4. #83860 | C2 | semidirect |
| 5. #83843 | C2 | semidirect |
| 6. #83165 | C2 | semidirect |
| 7. #82431 | C2 | semidirect |
| 8. #80365 | C2 | semidirect |
| 9. #80364 | C2 | semidirect |
| 10. #80363 | C2 | semidirect |
| 11. #80362 | C2 | semidirect |
| 12. #80361 | C2 | semidirect |
| 13. #80360 | C2 | semidirect |
| 14. #79025 | C2 | semidirect |
| 15. #79000 | C2 | semidirect |
| 16. #78756 | C2 | semidirect |
| 17. #78726 | C2 | semidirect |
| 37. #5574 | C22 | semidirect |
| 39. C4×#239 | C22 | semidirect |
| 41. #5572 | C22 | semidirect |
| 43. C4×D3×Q8 | C22 | semidirect |
| 58. #5172 | C22 | semidirect |
| 59. #5172 | C22 | semidirect |
| 60. #5170 | C22 | semidirect |
| 61. #5170 | C22 | semidirect |
| 62. #5164 | C22 | semidirect |
| 63. #5164 | C22 | semidirect |
| 64. Dic3×SD16 | C22 | semidirect |
| 65. Dic3×SD16 | C22 | semidirect |
| 74. #5022 | C22 | semidirect |
| 75. #5021 | C22 | semidirect |
| 76. #5020 | C22 | semidirect |
| 79. #4851 | C22 | semidirect |
| 80. #4850 | C22 | semidirect |
| 81. #4847 | C22 | semidirect |
| 82. #4846 | C22 | semidirect |
| 83. #4842 | C22 | semidirect |
| 84. #4840 | C22 | semidirect |
| 85. #4835 | C22 | semidirect |
| 86. #4833 | C22 | semidirect |
| 87. #4829 | C22 | semidirect |
| 88. #4785 | C22 | semidirect |
| 89. #4784 | C22 | semidirect |
| 90. #4779 | C22 | semidirect |
| 91. #4777 | C22 | semidirect |
| 92. #4774 | C22 | semidirect |
| 93. #4758 | C22 | semidirect |
| 94. #4757 | C22 | semidirect |
| 95. #4756 | C22 | semidirect |
| 108. C2×#460 | D3 | semidirect |
| 330. C2×C3×Q8 | #41 | semidirect |
| 365. #235 | #41 | semidirect |
| 672. C2×Q8 | #237 | semidirect |
| 907. C3 | #60593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86190 | 2 |
| C4×#1007 | 2 |
| C2×C3×#460 | 2 |
| #83860 | 2 |
| #83843 | 2 |
| #83165 | 2 |
| #82431 | 2 |
| #80365 | 2 |
| #80364 | 2 |
| #80363 | 2 |
| #80362 | 2 |
| #80361 | 2 |
| #80360 | 2 |
| #79025 | 2 |
| #79000 | 2 |
| #78756 | 2 |
| #78726 | 2 |
| #60593 | 3 |