Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2032 conjugacy classes of subgroups.
The subgroup lattice has 1226 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #85851 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #85818 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C4×#137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83984 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #83984 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #82525 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#5022 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #79844 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #79841 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #79804 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #79799 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #79738 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #79736 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79684 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #79679 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #79222 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #79221 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #78957 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #78957 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #78891 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 21 | #78890 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #78529 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | #78522 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | #61204 | — | 3 | 1 | no | maximal, Sylow |
| 25 | C2×#1007 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#1007 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C3×#137 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×C4×#41 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5833 | C22 | 1 | 1 | yes | characteristic |
| 31 | #5833 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#950 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#950 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#907 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#907 | C22 | 1 | 1 | yes | characteristic |
| 36 | #5581 | C22 | 1 | 2 | yes | — |
| 37 | #5581 | C22 | 1 | 2 | yes | — |
| 38 | #5577 | — | 2 | 1 | no | — |
| 39 | #5577 | C22 | 1 | 2 | yes | — |
| 40 | #5576 | — | 2 | 1 | no | — |
| 41 | #5576 | — | 2 | 1 | no | — |
| 42 | #5576 | C22 | 1 | 2 | yes | — |
| 43 | #5576 | C22 | 1 | 2 | yes | — |
| 44 | Q8×D12 | — | 2 | 1 | no | — |
| 45 | Q8×D12 | C22 | 1 | 2 | yes | — |
| 46 | #5558 | C22 | 1 | 2 | yes | — |
| 47 | #5558 | C22 | 1 | 2 | yes | — |
| 48 | #5540 | — | 2 | 2 | no | — |
| 49 | #5540 | — | 2 | 2 | no | — |
| 50 | #5535 | — | 2 | 1 | no | — |
| 51 | #5523 | C22 | 1 | 1 | yes | characteristic |
| 52 | #5523 | C22 | 1 | 1 | yes | characteristic |
| 53 | #5518 | — | 2 | 1 | no | — |
| 54 | #5510 | — | 2 | 2 | no | — |
| 55 | #5510 | C22 | 1 | 1 | yes | characteristic |
| 56 | #5510 | C22 | 1 | 1 | yes | characteristic |
| 57 | #5479 | — | 2 | 1 | no | — |
| 58 | #5479 | — | 2 | 1 | no | — |
| 59 | #5477 | — | 2 | 2 | no | — |
| 60 | #5477 | C22 | 1 | 1 | yes | characteristic |
| 61 | #5477 | C22 | 1 | 1 | yes | characteristic |
| 62 | C2×#870 | C22 | 1 | 1 | yes | characteristic |
| 63 | C3×#441 | C22 | 1 | 2 | yes | — |
| 64 | C3×#440 | C22 | 1 | 2 | yes | — |
| 65 | C3×C4×Q16 | C22 | 1 | 2 | yes | — |
| 66 | C3×C4×SD16 | C22 | 1 | 2 | yes | — |
| 67 | C3×#428 | C22 | 1 | 1 | yes | characteristic |
| 68 | C3×#419 | C22 | 1 | 1 | yes | characteristic |
| 69 | C3×#417 | C22 | 1 | 1 | yes | characteristic |
| 70 | C3×C4×M16 | C22 | 1 | 1 | yes | characteristic |
| 71 | C2×#835 | C22 | 1 | 1 | yes | characteristic |
| 72 | C2×#835 | C22 | 1 | 1 | yes | characteristic |
| 73 | #5187 | C22 | 1 | 2 | yes | — |
| 74 | #5187 | C22 | 1 | 2 | yes | — |
| 75 | #5186 | C22 | 1 | 2 | yes | — |
| 76 | #5186 | C22 | 1 | 2 | yes | — |
| 77 | #5172 | C22 | 1 | 2 | yes | — |
| 78 | #5172 | C22 | 1 | 2 | yes | — |
| 79 | #5170 | C22 | 1 | 2 | yes | — |
| 80 | #5170 | C22 | 1 | 2 | yes | — |
| 81 | #5133 | C22 | 1 | 1 | yes | characteristic |
| 82 | #5133 | C22 | 1 | 1 | yes | characteristic |
| 83 | #5133 | C22 | 1 | 1 | yes | characteristic |
| 84 | #5133 | C22 | 1 | 1 | yes | characteristic |
| 85 | #5129 | C22 | 1 | 1 | yes | characteristic |
| 86 | #5129 | C22 | 1 | 1 | yes | characteristic |
| 87 | #5031 | C22 | 1 | 1 | yes | characteristic |
| 88 | #5028 | C22 | 1 | 1 | yes | characteristic |
| 89 | #5028 | C22 | 1 | 1 | yes | characteristic |
| 90 | #5027 | C22 | 1 | 1 | yes | characteristic |
| 91 | #5022 | C22 | 1 | 2 | yes | — |
| 92 | #5022 | C22 | 1 | 2 | yes | — |
| 93 | #5022 | C22 | 1 | 2 | yes | — |
| 94 | #5022 | C22 | 1 | 2 | yes | — |
| 95 | #5019 | C22 | 1 | 1 | yes | characteristic |
| 96 | #5016 | C22 | 1 | 1 | yes | characteristic |
| 97 | #5016 | C22 | 1 | 1 | yes | characteristic |
| 98 | #5015 | C22 | 1 | 1 | yes | characteristic |
| 99 | #5002 | C22 | 1 | 1 | yes | characteristic |
| 100 | #5002 | C22 | 1 | 1 | yes | characteristic |
| 101 | C2×#808 | C22 | 1 | 1 | yes | characteristic |
| 102 | C2×#807 | C22 | 1 | 1 | yes | characteristic |
| 103 | C2×C4⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 104 | #4888 | C22 | 1 | 2 | yes | — |
| 105 | #4885 | C22 | 1 | 2 | yes | — |
| 106 | #4884 | C22 | 1 | 2 | yes | — |
| 107 | #4882 | C22 | 1 | 2 | yes | — |
| 108 | #4868 | C22 | 1 | 2 | yes | — |
| 109 | #4866 | C22 | 1 | 2 | yes | — |
| 110 | #4863 | C22 | 1 | 2 | yes | — |
| 111 | #4862 | C22 | 1 | 2 | yes | — |
| 112 | #4816 | C22 | 1 | 2 | yes | — |
| 113 | #4813 | C22 | 1 | 2 | yes | — |
| 114 | #4812 | C22 | 1 | 2 | yes | — |
| 115 | #4807 | C22 | 1 | 2 | yes | — |
| 116 | #4804 | C22 | 1 | 2 | yes | — |
| 117 | #4804 | C22 | 1 | 2 | yes | — |
| 118 | #4803 | C22 | 1 | 2 | yes | — |
| 119 | #4803 | C22 | 1 | 2 | yes | — |
| 120 | #4802 | C22 | 1 | 2 | yes | — |
| 121 | #4802 | C22 | 1 | 2 | yes | — |
| 122 | D3×#103 | C22 | 1 | 2 | yes | — |
| 123 | D3×#103 | C22 | 1 | 2 | yes | — |
| 124 | #4782 | C22 | 1 | 2 | yes | — |
| 125 | #4780 | C22 | 1 | 2 | yes | — |
| 126 | #4778 | C22 | 1 | 2 | yes | — |
| 127 | #4775 | C22 | 1 | 2 | yes | — |
| 128 | #4713 | C22 | 1 | 2 | yes | — |
| 129 | #4706 | C22 | 1 | 2 | yes | — |
| 130 | #4706 | C22 | 1 | 2 | yes | — |
| 131 | #4703 | C22 | 1 | 2 | yes | — |
| 132 | #4697 | C22 | 1 | 2 | yes | — |
| 133 | #4697 | C22 | 1 | 2 | yes | — |
| 134 | #4688 | C22 | 1 | 2 | yes | — |
| 135 | C8×D12 | C22 | 1 | 2 | yes | — |
| 136 | #3512 | — | 3 | 1 | no | — |
| 137 | #3497 | — | 3 | 1 | no | — |
| 138 | #3327 | — | 3 | 2 | no | — |
| 139 | #3326 | — | 3 | 2 | no | — |
| 140 | #3320 | — | 3 | 2 | no | — |
| 141 | #3317 | — | 3 | 2 | no | — |
| 142 | #3312 | — | 3 | 2 | no | — |
| 143 | #3309 | — | 3 | 2 | no | — |
| 144 | #3301 | — | 3 | 2 | no | — |
| 145 | #3300 | — | 3 | 2 | no | — |
| 146 | #3142 | — | 3 | 1 | no | — |
| 147 | #3099 | — | 3 | 1 | no | — |
| 148 | #3098 | — | 3 | 1 | no | — |
| 149 | C2×#479 | — | 3 | 1 | no | — |
| 150 | #3061 | — | 3 | 1 | no | — |
| 151 | #3060 | — | 3 | 1 | no | — |
| 152 | #3035 | — | 3 | 1 | no | — |
| 153 | #3013 | — | 3 | 1 | no | — |
| 154 | #3013 | — | 3 | 1 | no | — |
| 155 | C4×#137 | D3 | 1 | 1 | yes | characteristic, complemented |
| 156 | #2935 | — | 3 | 1 | no | — |
| 157 | #2898 | — | 3 | 1 | no | — |
| 158 | #2898 | — | 3 | 1 | no | — |
| 159 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 160 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 161 | #1007 | — | 2 | 4 | no | — |
| 162 | #1007 | — | 2 | 4 | no | — |
| 163 | #1007 | — | 4 | 2 | no | — |
| 164 | #1007 | — | 4 | 2 | no | — |
| 165 | C2×#239 | — | 2 | 1 | no | — |
| 166 | C2×#239 | — | 2 | 1 | no | — |
| 167 | C2×#239 | C23 | 1 | 2 | yes | — |
| 168 | C2×#239 | C23 | 1 | 2 | yes | — |
| 169 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 170 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 171 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 172 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 173 | C2×#235 | — | 2 | 2 | no | — |
| 174 | C2×#235 | — | 2 | 2 | no | — |
| 175 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 176 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 177 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 178 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 179 | C3×#137 | — | 2 | 4 | no | — |
| 180 | C2×C3×Q16 | C23 | 1 | 2 | yes | — |
| 181 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 182 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 183 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 184 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 185 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 186 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 187 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 188 | C3×C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 189 | C3×C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 190 | C3×C4×D4 | — | 2 | 1 | no | — |
| 191 | C3×C4×D4 | — | 2 | 1 | no | — |
| 192 | C3×C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 193 | C3×C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 194 | C3×#117 | — | 2 | 1 | no | — |
| 195 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 196 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 197 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 198 | C2×C3×C42 | — | 2 | 1 | no | — |
| 199 | C2×C3×C42 | — | 2 | 1 | no | — |
| 200 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 201 | #950 | — | 4 | 2 | no | — |
| 202 | #950 | — | 4 | 2 | no | — |
| 203 | #946 | C23 | 1 | 2 | yes | — |
| 204 | #946 | C23 | 1 | 2 | yes | — |
| 205 | C2×#216 | C23 | 1 | 1 | yes | characteristic |
| 206 | C2×#216 | C23 | 1 | 1 | yes | characteristic |
| 207 | C2×#215 | C23 | 1 | 1 | yes | characteristic |
| 208 | C2×#215 | C23 | 1 | 1 | yes | characteristic |
| 209 | #939 | — | 2 | 2 | no | — |
| 210 | #939 | — | 2 | 2 | no | — |
| 211 | #938 | C23 | 1 | 2 | yes | — |
| 212 | #938 | C23 | 1 | 2 | yes | — |
| 213 | C2×#214 | C23 | 1 | 1 | yes | characteristic |
| 214 | C2×#214 | C23 | 1 | 1 | yes | characteristic |
| 215 | C2×#213 | C23 | 1 | 1 | yes | characteristic |
| 216 | C2×#213 | C23 | 1 | 1 | yes | characteristic |
| 217 | #930 | — | 2 | 1 | no | — |
| 218 | #930 | — | 2 | 1 | no | — |
| 219 | #930 | — | 2 | 2 | no | — |
| 220 | #930 | — | 2 | 2 | no | — |
| 221 | #930 | — | 2 | 1 | no | — |
| 222 | #930 | — | 2 | 1 | no | — |
| 223 | #930 | D4 | 1 | 2 | yes | — |
| 224 | #930 | D4 | 1 | 2 | yes | — |
| 225 | #929 | — | 2 | 2 | no | — |
| 226 | #929 | — | 2 | 2 | no | — |
| 227 | C4×#67 | — | 2 | 2 | no | — |
| 228 | C4×#67 | — | 2 | 2 | no | — |
| 229 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 230 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 231 | #924 | — | 2 | 1 | no | — |
| 232 | #924 | — | 2 | 1 | no | — |
| 233 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 234 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 235 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 236 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 237 | #907 | — | 4 | 2 | no | — |
| 238 | #907 | — | 4 | 2 | no | — |
| 239 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 240 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 241 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 242 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 243 | #897 | — | 2 | 1 | no | — |
| 244 | #897 | — | 2 | 1 | no | — |
| 245 | #897 | — | 2 | 2 | no | — |
| 246 | #897 | — | 2 | 2 | no | — |
| 247 | #897 | — | 2 | 2 | no | — |
| 248 | #897 | — | 2 | 2 | no | — |
| 249 | #897 | C23 | 1 | 2 | yes | — |
| 250 | #897 | C23 | 1 | 2 | yes | — |
| 251 | #895 | — | 2 | 2 | no | — |
| 252 | #895 | — | 2 | 2 | no | — |
| 253 | #895 | — | 2 | 1 | no | — |
| 254 | #895 | — | 2 | 1 | no | — |
| 255 | #895 | — | 2 | 2 | no | — |
| 256 | #895 | — | 2 | 2 | no | — |
| 257 | #895 | C23 | 1 | 2 | yes | — |
| 258 | #895 | C23 | 1 | 2 | yes | — |
| 259 | #894 | — | 2 | 2 | no | — |
| 260 | #894 | — | 2 | 2 | no | — |
| 261 | #892 | C23 | 1 | 2 | yes | — |
| 262 | #892 | C23 | 1 | 2 | yes | — |
| 263 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 264 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 265 | #889 | — | 2 | 2 | no | — |
| 266 | #889 | — | 2 | 2 | no | — |
| 267 | #884 | — | 2 | 2 | no | — |
| 268 | #884 | — | 2 | 2 | no | — |
| 269 | #67⋊C4 | — | 2 | 2 | no | — |
| 270 | #67⋊C4 | — | 2 | 2 | no | — |
| 271 | #879 | — | 2 | 2 | no | — |
| 272 | #879 | — | 2 | 2 | no | — |
| 273 | #876 | — | 2 | 2 | no | — |
| 274 | #876 | — | 2 | 2 | no | — |
| 275 | #875 | — | 2 | 2 | no | — |
| 276 | #875 | — | 2 | 2 | no | — |
| 277 | #875 | D4 | 1 | 1 | yes | characteristic |
| 278 | #875 | D4 | 1 | 1 | yes | characteristic |
| 279 | #875 | C23 | 1 | 1 | yes | characteristic |
| 280 | #875 | C23 | 1 | 1 | yes | characteristic |
| 281 | #874 | — | 2 | 2 | no | — |
| 282 | #874 | D4 | 1 | 1 | yes | characteristic |
| 283 | #874 | C23 | 1 | 1 | yes | characteristic |
| 284 | C4×D12 | — | 2 | 2 | no | — |
| 285 | C4×D12 | — | 2 | 1 | no | — |
| 286 | C4×D12 | — | 2 | 1 | no | — |
| 287 | C4×D12 | — | 2 | 1 | no | — |
| 288 | C4×D12 | — | 2 | 1 | no | — |
| 289 | C4×D12 | — | 2 | 2 | no | — |
| 290 | C4×D12 | — | 2 | 2 | no | — |
| 291 | C4×D12 | — | 2 | 2 | no | — |
| 292 | C4×D12 | C23 | 1 | 2 | yes | — |
| 293 | C4×D12 | C23 | 1 | 2 | yes | — |
| 294 | #872 | — | 2 | 2 | no | — |
| 295 | #872 | — | 2 | 2 | no | — |
| 296 | #870 | — | 2 | 1 | no | — |
| 297 | #870 | — | 2 | 1 | no | — |
| 298 | #870 | C23 | 1 | 2 | yes | — |
| 299 | #870 | C23 | 1 | 2 | yes | — |
| 300 | #869 | — | 2 | 2 | no | — |
| 301 | #869 | D4 | 1 | 1 | yes | characteristic |
| 302 | #869 | C23 | 1 | 1 | yes | characteristic |
| 303 | C4×Dic6 | — | 2 | 1 | no | — |
| 304 | C4×Dic6 | — | 2 | 1 | no | — |
| 305 | C3×#107 | C23 | 1 | 2 | yes | — |
| 306 | C3×#106 | C23 | 1 | 2 | yes | — |
| 307 | C3×#103 | C23 | 1 | 2 | yes | — |
| 308 | C3×#103 | C23 | 1 | 2 | yes | — |
| 309 | C3×#103 | C23 | 1 | 2 | yes | — |
| 310 | C3×#102 | C23 | 1 | 2 | yes | — |
| 311 | C3×#97 | C23 | 1 | 2 | yes | — |
| 312 | C3×C4×C8 | C23 | 1 | 2 | yes | — |
| 313 | #835 | C23 | 1 | 2 | yes | — |
| 314 | #835 | C23 | 1 | 2 | yes | — |
| 315 | #835 | C23 | 1 | 2 | yes | — |
| 316 | #835 | C23 | 1 | 2 | yes | — |
| 317 | #821 | C23 | 1 | 2 | yes | — |
| 318 | #821 | C23 | 1 | 2 | yes | — |
| 319 | #821 | C23 | 1 | 2 | yes | — |
| 320 | #821 | C23 | 1 | 2 | yes | — |
| 321 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 322 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 323 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 324 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 325 | #816 | C23 | 1 | 2 | yes | — |
| 326 | #816 | C23 | 1 | 2 | yes | — |
| 327 | #816 | C23 | 1 | 2 | yes | — |
| 328 | #816 | C23 | 1 | 2 | yes | — |
| 329 | #810 | C23 | 1 | 1 | yes | characteristic |
| 330 | #810 | C23 | 1 | 1 | yes | characteristic |
| 331 | #810 | C23 | 1 | 1 | yes | characteristic |
| 332 | #810 | C23 | 1 | 1 | yes | characteristic |
| 333 | #809 | C23 | 1 | 1 | yes | characteristic |
| 334 | #809 | C23 | 1 | 1 | yes | characteristic |
| 335 | #809 | C23 | 1 | 1 | yes | characteristic |
| 336 | #809 | C23 | 1 | 1 | yes | characteristic |
| 337 | #808 | C23 | 1 | 2 | yes | — |
| 338 | #808 | C23 | 1 | 2 | yes | — |
| 339 | #807 | C23 | 1 | 2 | yes | — |
| 340 | #807 | C23 | 1 | 2 | yes | — |
| 341 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 342 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 343 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 344 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 345 | C2×2−1+4 | — | 3 | 1 | no | — |
| 346 | C2×2−1+4 | — | 3 | 1 | no | — |
| 347 | C2×#137 | C2×D3 | 1 | 1 | yes | characteristic |
| 348 | C2×#135 | — | 3 | 1 | no | — |
| 349 | C2×#135 | — | 3 | 1 | no | — |
| 350 | C2×#131 | — | 3 | 1 | no | — |
| 351 | C2×#131 | — | 3 | 1 | no | — |
| 352 | #553 | — | 3 | 2 | no | — |
| 353 | #553 | — | 3 | 2 | no | — |
| 354 | #553 | — | 6 | 2 | no | — |
| 355 | #553 | — | 6 | 2 | no | — |
| 356 | #552 | — | 3 | 2 | no | — |
| 357 | #552 | — | 3 | 2 | no | — |
| 358 | #550 | — | 3 | 2 | no | — |
| 359 | #550 | — | 6 | 1 | no | — |
| 360 | D4×Q8 | — | 3 | 2 | no | — |
| 361 | D4×Q8 | — | 6 | 1 | no | — |
| 362 | #548 | — | 3 | 2 | no | — |
| 363 | #548 | — | 3 | 2 | no | — |
| 364 | #548 | — | 6 | 1 | no | — |
| 365 | #548 | — | 6 | 1 | no | — |
| 366 | #541 | — | 6 | 1 | no | — |
| 367 | #540 | — | 6 | 1 | no | — |
| 368 | #537 | — | 3 | 1 | no | — |
| 369 | #537 | — | 3 | 1 | no | — |
| 370 | #537 | — | 3 | 1 | no | — |
| 371 | #537 | — | 3 | 1 | no | — |
| 372 | #537 | — | 6 | 2 | no | — |
| 373 | #532 | — | 3 | 1 | no | — |
| 374 | #532 | — | 3 | 1 | no | — |
| 375 | #532 | — | 6 | 2 | no | — |
| 376 | #529 | — | 6 | 1 | no | — |
| 377 | #529 | — | 6 | 1 | no | — |
| 378 | C2×#125 | — | 3 | 1 | no | — |
| 379 | #520 | — | 3 | 1 | no | — |
| 380 | #520 | — | 3 | 1 | no | — |
| 381 | C4×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 382 | C2×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 383 | #491 | — | 3 | 2 | no | — |
| 384 | #490 | — | 3 | 2 | no | — |
| 385 | #488 | — | 3 | 2 | no | — |
| 386 | #488 | — | 3 | 2 | no | — |
| 387 | #485 | — | 3 | 2 | no | — |
| 388 | #485 | — | 3 | 2 | no | — |
| 389 | #484 | — | 3 | 2 | no | — |
| 390 | #483 | — | 3 | 2 | no | — |
| 391 | #482 | — | 3 | 2 | no | — |
| 392 | #482 | — | 3 | 2 | no | — |
| 393 | #481 | — | 3 | 2 | no | — |
| 394 | #480 | — | 3 | 2 | no | — |
| 395 | #479 | — | 3 | 2 | no | — |
| 396 | #479 | — | 3 | 2 | no | — |
| 397 | #479 | — | 3 | 2 | no | — |
| 398 | #479 | — | 3 | 2 | no | — |
| 399 | #470 | — | 3 | 2 | no | — |
| 400 | #469 | — | 3 | 2 | no | — |
| 401 | #468 | — | 3 | 2 | no | — |
| 402 | #468 | — | 3 | 2 | no | — |
| 403 | #467 | — | 3 | 2 | no | — |
| 404 | #466 | — | 3 | 2 | no | — |
| 405 | #465 | — | 3 | 2 | no | — |
| 406 | #465 | — | 3 | 2 | no | — |
| 407 | #464 | — | 3 | 1 | no | — |
| 408 | #464 | — | 3 | 1 | no | — |
| 409 | #463 | — | 3 | 1 | no | — |
| 410 | #463 | — | 3 | 1 | no | — |
| 411 | #462 | — | 3 | 1 | no | — |
| 412 | #461 | — | 3 | 1 | no | — |
| 413 | #460 | — | 3 | 1 | no | — |
| 414 | #459 | — | 3 | 1 | no | — |
| 415 | #452 | — | 3 | 2 | no | — |
| 416 | #452 | — | 3 | 2 | no | — |
| 417 | #451 | — | 3 | 2 | no | — |
| 418 | #451 | — | 3 | 2 | no | — |
| 419 | #449 | — | 3 | 2 | no | — |
| 420 | #449 | — | 3 | 2 | no | — |
| 421 | #448 | — | 3 | 2 | no | — |
| 422 | #448 | — | 3 | 2 | no | — |
| 423 | #441 | C2×D3 | 1 | 2 | yes | — |
| 424 | #440 | C2×D3 | 1 | 2 | yes | — |
| 425 | C4×Q16 | C2×D3 | 1 | 2 | yes | — |
| 426 | C4×SD16 | C2×D3 | 1 | 2 | yes | — |
| 427 | #436 | — | 3 | 2 | no | — |
| 428 | #435 | — | 3 | 2 | no | — |
| 429 | #435 | — | 3 | 2 | no | — |
| 430 | C8×D4 | — | 3 | 2 | no | — |
| 431 | #428 | C2×D3 | 1 | 1 | yes | characteristic |
| 432 | C2×#107 | — | 3 | 1 | no | — |
| 433 | C2×#106 | — | 3 | 1 | no | — |
| 434 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 435 | #419 | — | 3 | 2 | no | — |
| 436 | #419 | — | 3 | 2 | no | — |
| 437 | #419 | C2×D3 | 1 | 1 | yes | characteristic |
| 438 | #417 | — | 3 | 1 | no | — |
| 439 | #417 | — | 3 | 1 | no | — |
| 440 | #417 | — | 3 | 1 | no | — |
| 441 | #417 | — | 3 | 1 | no | — |
| 442 | #417 | — | 3 | 2 | no | — |
| 443 | #417 | — | 3 | 2 | no | — |
| 444 | #417 | C2×D3 | 1 | 1 | yes | characteristic |
| 445 | #416 | — | 3 | 1 | no | — |
| 446 | #416 | — | 3 | 1 | no | — |
| 447 | #416 | — | 3 | 2 | no | — |
| 448 | #416 | — | 3 | 2 | no | — |
| 449 | C2×#103 | — | 3 | 1 | no | — |
| 450 | C2×#103 | — | 3 | 1 | no | — |
| 451 | C2×#103 | — | 3 | 2 | no | — |
| 452 | C2×#103 | — | 3 | 2 | no | — |
| 453 | #408 | — | 3 | 1 | no | — |
| 454 | #408 | — | 3 | 1 | no | — |
| 455 | C4×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 456 | C3×#41 | — | 2 | 2 | no | — |
| 457 | C3×#41 | — | 2 | 2 | no | — |
| 458 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 459 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 460 | C2×C3×Q8 | #41 | 1 | 4 | yes | — |
| 461 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 462 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 463 | C2×C3×D4 | — | 2 | 1 | no | — |
| 464 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 465 | C22×C3×C4 | — | 2 | 1 | no | — |
| 466 | C22×C3×C4 | — | 2 | 1 | no | — |
| 467 | C22×C3×C4 | — | 2 | 1 | no | — |
| 468 | C22×C3×C4 | — | 2 | 1 | no | — |
| 469 | C22×C3×C4 | — | 2 | 1 | no | — |
| 470 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 471 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 472 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 473 | C2×#67 | — | 2 | 1 | no | — |
| 474 | C2×#67 | — | 2 | 1 | no | — |
| 475 | C2×#67 | — | 2 | 2 | no | — |
| 476 | C2×#67 | — | 2 | 2 | no | — |
| 477 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 478 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 479 | C22×Dic3 | — | 2 | 1 | no | — |
| 480 | C22×Dic3 | — | 2 | 1 | no | — |
| 481 | #239 | — | 2 | 4 | no | — |
| 482 | #239 | — | 2 | 4 | no | — |
| 483 | #239 | — | 4 | 2 | no | — |
| 484 | #239 | — | 4 | 2 | no | — |
| 485 | #239 | — | 4 | 4 | no | — |
| 486 | #239 | — | 4 | 4 | no | — |
| 487 | D3×Q8 | — | 2 | 4 | no | — |
| 488 | D3×Q8 | — | 2 | 4 | no | — |
| 489 | D3×Q8 | — | 4 | 2 | no | — |
| 490 | D3×Q8 | — | 4 | 2 | no | — |
| 491 | D3×Q8 | — | 4 | 4 | no | — |
| 492 | D3×Q8 | — | 4 | 4 | no | — |
| 493 | #235 | — | 2 | 2 | no | — |
| 494 | #235 | — | 2 | 2 | no | — |
| 495 | #235 | — | 2 | 2 | no | — |
| 496 | #235 | — | 2 | 2 | no | — |
| 497 | #235 | — | 2 | 2 | no | — |
| 498 | #235 | — | 2 | 2 | no | — |
| 499 | #235 | — | 2 | 2 | no | — |
| 500 | #235 | — | 2 | 2 | no | — |
| 501 | #235 | — | 4 | 8 | no | — |
| 502 | #235 | — | 4 | 8 | no | — |
| 503 | C2×D12 | — | 2 | 2 | no | — |
| 504 | C2×D12 | — | 2 | 2 | no | — |
| 505 | C2×D12 | — | 2 | 1 | no | — |
| 506 | C2×D12 | — | 2 | 2 | no | — |
| 507 | C2×D12 | — | 2 | 2 | no | — |
| 508 | C2×D12 | — | 2 | 1 | no | — |
| 509 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 510 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 511 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 512 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 513 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 514 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 515 | C2×C4×D3 | — | 2 | 2 | no | — |
| 516 | C2×C4×D3 | — | 2 | 2 | no | — |
| 517 | C2×C4×D3 | — | 2 | 1 | no | — |
| 518 | C2×C4×D3 | — | 2 | 1 | no | — |
| 519 | C2×C4×D3 | — | 2 | 2 | no | — |
| 520 | C2×C4×D3 | — | 2 | 2 | no | — |
| 521 | C2×C4×D3 | — | 2 | 2 | no | — |
| 522 | C2×C4×D3 | — | 2 | 2 | no | — |
| 523 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 524 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 525 | C2×Dic6 | — | 2 | 2 | no | — |
| 526 | C2×Dic6 | — | 2 | 2 | no | — |
| 527 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 528 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 529 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 530 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 531 | C3×Q16 | — | 2 | 4 | no | — |
| 532 | C3×SD16 | — | 2 | 4 | no | — |
| 533 | C3×M16 | — | 2 | 2 | no | — |
| 534 | C3×M16 | — | 2 | 2 | no | — |
| 535 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 536 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 537 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 538 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 539 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 540 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 541 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 542 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 543 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 544 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 545 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 546 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 547 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 548 | C3×C42 | — | 2 | 1 | no | — |
| 549 | C3×C42 | — | 2 | 2 | no | — |
| 550 | C3×C42 | — | 2 | 1 | no | — |
| 551 | C3×C42 | — | 2 | 1 | no | — |
| 552 | C3×C42 | — | 2 | 2 | no | — |
| 553 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 554 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 555 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 556 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 557 | #217 | — | 2 | 2 | no | — |
| 558 | #217 | — | 2 | 2 | no | — |
| 559 | #216 | — | 4 | 1 | no | — |
| 560 | #216 | — | 4 | 1 | no | — |
| 561 | #215 | — | 4 | 1 | no | — |
| 562 | #215 | — | 4 | 1 | no | — |
| 563 | #214 | — | 4 | 1 | no | — |
| 564 | #214 | — | 4 | 1 | no | — |
| 565 | #213 | — | 4 | 1 | no | — |
| 566 | #213 | — | 4 | 1 | no | — |
| 567 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 568 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 569 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 570 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 571 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 572 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 573 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 574 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 575 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 576 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 577 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 578 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 579 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 580 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 581 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 582 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 583 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 584 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 585 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 586 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 587 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 588 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 589 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 590 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 591 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 592 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 593 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 594 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 595 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 596 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 597 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 598 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 599 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 600 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 601 | C4×Dic3 | — | 2 | 2 | no | — |
| 602 | C4×Dic3 | — | 2 | 2 | no | — |
| 603 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 604 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 605 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 606 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 607 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 608 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 609 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 610 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 611 | D3×C8 | — | 4 | 2 | no | — |
| 612 | D3×C8 | — | 4 | 2 | no | — |
| 613 | 2−1+4 | — | 6 | 4 | no | — |
| 614 | 2−1+4 | — | 6 | 4 | no | — |
| 615 | 2−1+4 | — | 12 | 2 | no | — |
| 616 | 2−1+4 | — | 12 | 2 | no | — |
| 617 | C2×#41 | — | 3 | 1 | no | — |
| 618 | C2×#41 | — | 3 | 1 | no | — |
| 619 | C2×#41 | — | 3 | 2 | no | — |
| 620 | C2×#41 | — | 3 | 2 | no | — |
| 621 | C2×#41 | — | 3 | 1 | no | — |
| 622 | C2×#41 | — | 3 | 1 | no | — |
| 623 | C2×#41 | — | 6 | 2 | no | — |
| 624 | C2×#41 | — | 6 | 2 | no | — |
| 625 | C2×#41 | — | 6 | 1 | no | — |
| 626 | C2×#41 | — | 6 | 1 | no | — |
| 627 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 628 | C22×Q8 | — | 3 | 2 | no | — |
| 629 | C22×Q8 | — | 3 | 2 | no | — |
| 630 | C22×Q8 | — | 6 | 1 | no | — |
| 631 | C22×Q8 | — | 6 | 1 | no | — |
| 632 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 633 | #137 | — | 2 | 4 | no | — |
| 634 | #135 | — | 12 | 2 | no | — |
| 635 | #135 | — | 12 | 2 | no | — |
| 636 | C2×Q16 | — | 3 | 1 | no | — |
| 637 | C2×Q16 | — | 3 | 1 | no | — |
| 638 | C2×Q16 | C22×D3 | 1 | 2 | yes | — |
| 639 | C2×SD16 | — | 3 | 1 | no | — |
| 640 | C2×SD16 | — | 3 | 1 | no | — |
| 641 | C2×SD16 | — | 3 | 1 | no | — |
| 642 | C2×SD16 | — | 3 | 1 | no | — |
| 643 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 644 | C2×D8 | — | 3 | 1 | no | — |
| 645 | C2×D8 | — | 3 | 1 | no | — |
| 646 | #131 | — | 12 | 2 | no | — |
| 647 | #131 | — | 12 | 2 | no | — |
| 648 | C2×M16 | — | 3 | 2 | no | — |
| 649 | C2×M16 | — | 3 | 2 | no | — |
| 650 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 651 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 652 | C22×C8 | — | 3 | 1 | no | — |
| 653 | C22×C8 | — | 3 | 1 | no | — |
| 654 | C22×C8 | — | 3 | 2 | no | — |
| 655 | C22×C8 | — | 3 | 2 | no | — |
| 656 | C4⋊Q8 | — | 3 | 1 | no | — |
| 657 | C4⋊Q8 | — | 3 | 1 | no | — |
| 658 | C4⋊Q8 | — | 6 | 2 | no | — |
| 659 | #127 | — | 3 | 1 | no | — |
| 660 | #127 | — | 3 | 1 | no | — |
| 661 | #127 | — | 6 | 2 | no | — |
| 662 | #126 | — | 6 | 2 | no | — |
| 663 | #126 | — | 6 | 2 | no | — |
| 664 | #126 | — | 6 | 2 | no | — |
| 665 | #126 | — | 6 | 2 | no | — |
| 666 | #125 | — | 3 | 2 | no | — |
| 667 | #125 | — | 3 | 2 | no | — |
| 668 | #125 | — | 6 | 2 | no | — |
| 669 | #125 | — | 6 | 2 | no | — |
| 670 | #125 | — | 6 | 1 | no | — |
| 671 | #125 | — | 6 | 1 | no | — |
| 672 | #124 | — | 3 | 1 | no | — |
| 673 | #124 | — | 3 | 1 | no | — |
| 674 | #124 | — | 3 | 1 | no | — |
| 675 | #124 | — | 3 | 1 | no | — |
| 676 | #124 | — | 6 | 2 | no | — |
| 677 | #124 | — | 6 | 2 | no | — |
| 678 | #123 | — | 6 | 2 | no | — |
| 679 | #123 | — | 6 | 2 | no | — |
| 680 | #123 | — | 6 | 2 | no | — |
| 681 | #123 | — | 6 | 2 | no | — |
| 682 | C22⋊Q8 | — | 3 | 2 | no | — |
| 683 | C22⋊Q8 | — | 3 | 2 | no | — |
| 684 | C22⋊Q8 | — | 3 | 2 | no | — |
| 685 | C22⋊Q8 | — | 3 | 2 | no | — |
| 686 | C22⋊Q8 | — | 6 | 2 | no | — |
| 687 | C22⋊Q8 | — | 6 | 2 | no | — |
| 688 | C22⋊Q8 | — | 6 | 2 | no | — |
| 689 | C22⋊Q8 | — | 6 | 2 | no | — |
| 690 | C22⋊Q8 | — | 6 | 1 | no | — |
| 691 | C22⋊Q8 | — | 6 | 1 | no | — |
| 692 | C22⋊Q8 | — | 6 | 1 | no | — |
| 693 | C22⋊Q8 | — | 6 | 1 | no | — |
| 694 | #121 | — | 3 | 2 | no | — |
| 695 | #121 | — | 3 | 2 | no | — |
| 696 | #121 | — | 3 | 2 | no | — |
| 697 | #121 | — | 3 | 2 | no | — |
| 698 | #121 | — | 3 | 2 | no | — |
| 699 | #121 | — | 3 | 2 | no | — |
| 700 | #121 | — | 6 | 2 | no | — |
| 701 | #121 | — | 6 | 2 | no | — |
| 702 | #121 | — | 6 | 2 | no | — |
| 703 | #121 | — | 6 | 2 | no | — |
| 704 | #121 | — | 6 | 1 | no | — |
| 705 | #121 | — | 6 | 1 | no | — |
| 706 | #121 | — | 6 | 2 | no | — |
| 707 | #121 | — | 6 | 2 | no | — |
| 708 | #121 | — | 6 | 1 | no | — |
| 709 | #121 | — | 6 | 1 | no | — |
| 710 | #121 | — | 6 | 2 | no | — |
| 711 | #121 | — | 6 | 2 | no | — |
| 712 | #121 | — | 6 | 2 | no | — |
| 713 | #121 | — | 6 | 2 | no | — |
| 714 | #121 | — | 6 | 1 | no | — |
| 715 | #121 | — | 6 | 1 | no | — |
| 716 | C4×Q8 | — | 2 | 1 | no | — |
| 717 | C4×Q8 | — | 2 | 1 | no | — |
| 718 | C4×Q8 | — | 6 | 1 | no | — |
| 719 | C4×Q8 | — | 6 | 1 | no | — |
| 720 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 721 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 722 | C4×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 723 | C4×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 724 | C4×D4 | — | 2 | 1 | no | — |
| 725 | C4×D4 | — | 2 | 1 | no | — |
| 726 | C4×D4 | — | 3 | 2 | no | — |
| 727 | C4×D4 | — | 3 | 2 | no | — |
| 728 | C4×D4 | — | 6 | 2 | no | — |
| 729 | C4×D4 | — | 6 | 2 | no | — |
| 730 | C4×D4 | — | 6 | 2 | no | — |
| 731 | C4×D4 | — | 6 | 1 | no | — |
| 732 | C4×D4 | — | 6 | 1 | no | — |
| 733 | C4×D4 | — | 6 | 2 | no | — |
| 734 | C4×D4 | — | 6 | 2 | no | — |
| 735 | C4×D4 | — | 6 | 2 | no | — |
| 736 | C4×D4 | — | 6 | 2 | no | — |
| 737 | C4×D4 | — | 6 | 2 | no | — |
| 738 | C4×D4 | — | 6 | 1 | no | — |
| 739 | C4×D4 | — | 6 | 1 | no | — |
| 740 | C4×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 741 | C4×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 742 | #117 | — | 2 | 1 | no | — |
| 743 | #117 | — | 3 | 2 | no | — |
| 744 | #117 | — | 3 | 2 | no | — |
| 745 | #117 | — | 6 | 2 | no | — |
| 746 | #117 | — | 6 | 2 | no | — |
| 747 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 748 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 749 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 750 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 751 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 752 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 753 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 754 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 755 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 756 | C2×C42 | — | 2 | 1 | no | — |
| 757 | C2×C42 | — | 2 | 1 | no | — |
| 758 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 759 | #107 | — | 3 | 2 | no | — |
| 760 | #107 | — | 3 | 2 | no | — |
| 761 | #107 | C22×D3 | 1 | 2 | yes | — |
| 762 | #106 | — | 3 | 2 | no | — |
| 763 | #106 | — | 3 | 2 | no | — |
| 764 | #106 | C22×D3 | 1 | 2 | yes | — |
| 765 | C4⋊C8 | — | 3 | 1 | no | — |
| 766 | C4⋊C8 | — | 3 | 1 | no | — |
| 767 | C4⋊C8 | — | 3 | 1 | no | — |
| 768 | C4⋊C8 | — | 3 | 1 | no | — |
| 769 | #103 | — | 3 | 2 | no | — |
| 770 | #103 | — | 3 | 2 | no | — |
| 771 | #103 | — | 3 | 2 | no | — |
| 772 | #103 | — | 3 | 2 | no | — |
| 773 | #103 | — | 3 | 2 | no | — |
| 774 | #103 | — | 3 | 2 | no | — |
| 775 | #103 | — | 3 | 2 | no | — |
| 776 | #103 | — | 3 | 2 | no | — |
| 777 | #103 | — | 3 | 1 | no | — |
| 778 | #103 | — | 3 | 1 | no | — |
| 779 | #103 | — | 3 | 1 | no | — |
| 780 | #103 | — | 3 | 1 | no | — |
| 781 | #103 | C22×D3 | 1 | 2 | yes | — |
| 782 | #103 | C22×D3 | 1 | 2 | yes | — |
| 783 | #103 | C22×D3 | 1 | 2 | yes | — |
| 784 | #102 | — | 3 | 2 | no | — |
| 785 | #102 | — | 3 | 2 | no | — |
| 786 | #102 | — | 3 | 2 | no | — |
| 787 | #102 | — | 3 | 2 | no | — |
| 788 | #102 | — | 3 | 1 | no | — |
| 789 | #102 | — | 3 | 1 | no | — |
| 790 | #102 | — | 3 | 1 | no | — |
| 791 | #102 | — | 3 | 1 | no | — |
| 792 | #102 | C22×D3 | 1 | 2 | yes | — |
| 793 | C22⋊C8 | — | 3 | 2 | no | — |
| 794 | C22⋊C8 | — | 3 | 2 | no | — |
| 795 | C22⋊C8 | — | 3 | 2 | no | — |
| 796 | C22⋊C8 | — | 3 | 2 | no | — |
| 797 | #97 | C22×D3 | 1 | 2 | yes | — |
| 798 | C4×C8 | C22×D3 | 1 | 2 | yes | — |
| 799 | C23×C3 | — | 2 | 1 | no | — |
| 800 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 801 | C22×D3 | — | 2 | 1 | no | — |
| 802 | C22×D3 | — | 2 | 1 | no | — |
| 803 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 804 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 805 | C3×Q8 | — | 2 | 4 | no | — |
| 806 | C3×Q8 | — | 2 | 2 | no | — |
| 807 | C3×Q8 | — | 2 | 1 | no | — |
| 808 | C3×Q8 | — | 2 | 1 | no | — |
| 809 | C3×Q8 | C2×#41 | 1 | 4 | yes | — |
| 810 | C3×D4 | — | 2 | 1 | no | — |
| 811 | C3×D4 | — | 2 | 1 | no | — |
| 812 | C3×D4 | — | 4 | 2 | no | — |
| 813 | C2×C3×C4 | — | 2 | 4 | no | — |
| 814 | C2×C3×C4 | — | 2 | 2 | no | — |
| 815 | C2×C3×C4 | — | 2 | 1 | no | — |
| 816 | C2×C3×C4 | — | 2 | 1 | no | — |
| 817 | C2×C3×C4 | — | 2 | 1 | no | — |
| 818 | C2×C3×C4 | — | 2 | 2 | no | — |
| 819 | C2×C3×C4 | — | 4 | 1 | no | — |
| 820 | C2×C3×C4 | — | 4 | 1 | no | — |
| 821 | C2×C3×C4 | — | 4 | 2 | no | — |
| 822 | C2×C3×C4 | — | 8 | 1 | no | — |
| 823 | C2×C3×C4 | — | 8 | 1 | no | — |
| 824 | C2×C3×C4 | — | 8 | 1 | no | — |
| 825 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 826 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 827 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 828 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 829 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 830 | C2×C3×C4 | C2×#41 | 1 | 2 | yes | — |
| 831 | C2×C3×C4 | H(5,𝔽2) | 1 | 2 | yes | — |
| 832 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 833 | #67 | — | 2 | 4 | no | — |
| 834 | #67 | — | 2 | 4 | no | — |
| 835 | #67 | — | 4 | 2 | no | — |
| 836 | #67 | — | 4 | 2 | no | — |
| 837 | #67 | — | 8 | 2 | no | — |
| 838 | #67 | — | 8 | 2 | no | — |
| 839 | C2×Dic3 | — | 2 | 2 | no | — |
| 840 | C2×Dic3 | — | 2 | 2 | no | — |
| 841 | C2×Dic3 | — | 2 | 1 | no | — |
| 842 | C2×Dic3 | — | 2 | 1 | no | — |
| 843 | C2×Dic3 | — | 8 | 1 | no | — |
| 844 | C2×Dic3 | — | 8 | 1 | no | — |
| 845 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 846 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 847 | D12 | — | 2 | 2 | no | — |
| 848 | D12 | — | 2 | 2 | no | — |
| 849 | D12 | — | 2 | 1 | no | — |
| 850 | D12 | — | 2 | 1 | no | — |
| 851 | D12 | — | 2 | 1 | no | — |
| 852 | D12 | — | 2 | 1 | no | — |
| 853 | D12 | — | 4 | 2 | no | — |
| 854 | D12 | — | 4 | 2 | no | — |
| 855 | D12 | — | 4 | 4 | no | — |
| 856 | D12 | — | 4 | 4 | no | — |
| 857 | D12 | — | 4 | 2 | no | — |
| 858 | D12 | — | 8 | 1 | no | — |
| 859 | D12 | — | 8 | 2 | no | — |
| 860 | D12 | — | 8 | 2 | no | — |
| 861 | C4×D3 | — | 2 | 2 | no | — |
| 862 | C4×D3 | — | 2 | 2 | no | — |
| 863 | C4×D3 | — | 2 | 2 | no | — |
| 864 | C4×D3 | — | 2 | 2 | no | — |
| 865 | C4×D3 | — | 4 | 4 | no | — |
| 866 | C4×D3 | — | 4 | 4 | no | — |
| 867 | C4×D3 | — | 4 | 4 | no | — |
| 868 | C4×D3 | — | 4 | 4 | no | — |
| 869 | C4×D3 | — | 4 | 2 | no | — |
| 870 | C4×D3 | — | 4 | 2 | no | — |
| 871 | C4×D3 | — | 8 | 2 | no | — |
| 872 | C4×D3 | — | 8 | 2 | no | — |
| 873 | Dic6 | — | 2 | 2 | no | — |
| 874 | Dic6 | — | 2 | 2 | no | — |
| 875 | Dic6 | — | 2 | 1 | no | — |
| 876 | Dic6 | — | 2 | 1 | no | — |
| 877 | Dic6 | — | 2 | 1 | no | — |
| 878 | Dic6 | — | 2 | 1 | no | — |
| 879 | Dic6 | — | 4 | 4 | no | — |
| 880 | Dic6 | — | 4 | 4 | no | — |
| 881 | C3×C8 | — | 2 | 2 | no | — |
| 882 | C3×C8 | — | 2 | 2 | no | — |
| 883 | C3⋊C8 | — | 2 | 1 | no | — |
| 884 | C3⋊C8 | — | 2 | 1 | no | — |
| 885 | C3⋊C8 | — | 2 | 1 | no | — |
| 886 | C3⋊C8 | — | 2 | 1 | no | — |
| 887 | #41 | — | 2 | 2 | no | — |
| 888 | #41 | — | 2 | 2 | no | — |
| 889 | #41 | — | 6 | 2 | no | — |
| 890 | #41 | — | 6 | 2 | no | — |
| 891 | #41 | — | 6 | 2 | no | — |
| 892 | #41 | — | 6 | 2 | no | — |
| 893 | #41 | — | 6 | 4 | no | — |
| 894 | #41 | — | 6 | 4 | no | — |
| 895 | #41 | — | 6 | 2 | no | — |
| 896 | #41 | — | 6 | 2 | no | — |
| 897 | #41 | — | 6 | 2 | no | — |
| 898 | #41 | — | 6 | 2 | no | — |
| 899 | #41 | — | 12 | 8 | no | — |
| 900 | #41 | — | 12 | 8 | no | — |
| 901 | #41 | — | 12 | 2 | no | — |
| 902 | #41 | — | 12 | 2 | no | — |
| 903 | #41 | — | 12 | 4 | no | — |
| 904 | #41 | — | 12 | 4 | no | — |
| 905 | C2×Q8 | — | 2 | 1 | no | — |
| 906 | C2×Q8 | — | 2 | 2 | no | — |
| 907 | C2×Q8 | — | 3 | 1 | no | — |
| 908 | C2×Q8 | — | 3 | 1 | no | — |
| 909 | C2×Q8 | — | 3 | 1 | no | — |
| 910 | C2×Q8 | — | 3 | 1 | no | — |
| 911 | C2×Q8 | — | 6 | 2 | no | — |
| 912 | C2×Q8 | — | 6 | 2 | no | — |
| 913 | C2×Q8 | — | 6 | 4 | no | — |
| 914 | C2×Q8 | — | 6 | 4 | no | — |
| 915 | C2×Q8 | — | 12 | 2 | no | — |
| 916 | C2×Q8 | — | 12 | 2 | no | — |
| 917 | C2×Q8 | — | 12 | 4 | no | — |
| 918 | C2×Q8 | — | 12 | 4 | no | — |
| 919 | C2×Q8 | #235 | 1 | 4 | yes | — |
| 920 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 921 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 922 | C2×D4 | — | 2 | 1 | no | — |
| 923 | C2×D4 | — | 3 | 2 | no | — |
| 924 | C2×D4 | — | 3 | 2 | no | — |
| 925 | C2×D4 | — | 3 | 1 | no | — |
| 926 | C2×D4 | — | 3 | 1 | no | — |
| 927 | C2×D4 | — | 3 | 2 | no | — |
| 928 | C2×D4 | — | 3 | 2 | no | — |
| 929 | C2×D4 | — | 3 | 1 | no | — |
| 930 | C2×D4 | — | 3 | 1 | no | — |
| 931 | C2×D4 | — | 6 | 2 | no | — |
| 932 | C2×D4 | — | 6 | 2 | no | — |
| 933 | C2×D4 | — | 6 | 2 | no | — |
| 934 | C2×D4 | — | 6 | 2 | no | — |
| 935 | C2×D4 | — | 6 | 1 | no | — |
| 936 | C2×D4 | — | 6 | 1 | no | — |
| 937 | C2×D4 | — | 6 | 2 | no | — |
| 938 | C2×D4 | — | 6 | 2 | no | — |
| 939 | C2×D4 | — | 6 | 1 | no | — |
| 940 | C2×D4 | — | 6 | 1 | no | — |
| 941 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 942 | C22×C4 | — | 2 | 1 | no | — |
| 943 | C22×C4 | — | 2 | 1 | no | — |
| 944 | C22×C4 | — | 2 | 1 | no | — |
| 945 | C22×C4 | — | 2 | 1 | no | — |
| 946 | C22×C4 | — | 2 | 1 | no | — |
| 947 | C22×C4 | — | 3 | 2 | no | — |
| 948 | C22×C4 | — | 3 | 2 | no | — |
| 949 | C22×C4 | — | 6 | 2 | no | — |
| 950 | C22×C4 | — | 6 | 2 | no | — |
| 951 | C22×C4 | — | 6 | 2 | no | — |
| 952 | C22×C4 | — | 6 | 2 | no | — |
| 953 | C22×C4 | — | 6 | 2 | no | — |
| 954 | C22×C4 | — | 6 | 2 | no | — |
| 955 | C22×C4 | — | 6 | 1 | no | — |
| 956 | C22×C4 | — | 6 | 1 | no | — |
| 957 | C22×C4 | — | 6 | 1 | no | — |
| 958 | C22×C4 | — | 6 | 1 | no | — |
| 959 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 960 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 961 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 962 | Q16 | — | 2 | 4 | no | — |
| 963 | Q16 | — | 12 | 1 | no | — |
| 964 | Q16 | — | 12 | 1 | no | — |
| 965 | SD16 | — | 2 | 4 | no | — |
| 966 | SD16 | — | 12 | 1 | no | — |
| 967 | SD16 | — | 12 | 1 | no | — |
| 968 | SD16 | — | 12 | 1 | no | — |
| 969 | SD16 | — | 12 | 1 | no | — |
| 970 | D8 | — | 12 | 1 | no | — |
| 971 | D8 | — | 12 | 1 | no | — |
| 972 | M16 | — | 2 | 2 | no | — |
| 973 | M16 | — | 2 | 2 | no | — |
| 974 | M16 | — | 12 | 2 | no | — |
| 975 | M16 | — | 12 | 2 | no | — |
| 976 | C2×C8 | — | 3 | 1 | no | — |
| 977 | C2×C8 | — | 3 | 1 | no | — |
| 978 | C2×C8 | — | 3 | 1 | no | — |
| 979 | C2×C8 | — | 3 | 1 | no | — |
| 980 | C2×C8 | — | 6 | 2 | no | — |
| 981 | C2×C8 | — | 6 | 2 | no | — |
| 982 | C2×C8 | — | 12 | 2 | no | — |
| 983 | C2×C8 | — | 12 | 2 | no | — |
| 984 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 985 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 986 | C4⋊C4 | — | 2 | 2 | no | — |
| 987 | C4⋊C4 | — | 2 | 2 | no | — |
| 988 | C4⋊C4 | — | 2 | 1 | no | — |
| 989 | C4⋊C4 | — | 2 | 1 | no | — |
| 990 | C4⋊C4 | — | 2 | 1 | no | — |
| 991 | C4⋊C4 | — | 3 | 2 | no | — |
| 992 | C4⋊C4 | — | 3 | 2 | no | — |
| 993 | C4⋊C4 | — | 3 | 2 | no | — |
| 994 | C4⋊C4 | — | 3 | 2 | no | — |
| 995 | C4⋊C4 | — | 6 | 2 | no | — |
| 996 | C4⋊C4 | — | 6 | 2 | no | — |
| 997 | C4⋊C4 | — | 6 | 2 | no | — |
| 998 | C4⋊C4 | — | 6 | 2 | no | — |
| 999 | C4⋊C4 | — | 6 | 2 | no | — |
| 1000 | C4⋊C4 | — | 6 | 2 | no | — |
| 1001 | C4⋊C4 | — | 6 | 1 | no | — |
| 1002 | C4⋊C4 | — | 6 | 1 | no | — |
| 1003 | C4⋊C4 | — | 6 | 2 | no | — |
| 1004 | C4⋊C4 | — | 6 | 2 | no | — |
| 1005 | C4⋊C4 | — | 6 | 2 | no | — |
| 1006 | C4⋊C4 | — | 6 | 2 | no | — |
| 1007 | C4⋊C4 | — | 6 | 1 | no | — |
| 1008 | C4⋊C4 | — | 6 | 1 | no | — |
| 1009 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 1010 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 1011 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 1012 | C22⋊C4 | — | 2 | 1 | no | — |
| 1013 | C22⋊C4 | — | 2 | 1 | no | — |
| 1014 | C22⋊C4 | — | 2 | 1 | no | — |
| 1015 | C22⋊C4 | — | 3 | 2 | no | — |
| 1016 | C22⋊C4 | — | 3 | 2 | no | — |
| 1017 | C22⋊C4 | — | 3 | 2 | no | — |
| 1018 | C22⋊C4 | — | 3 | 2 | no | — |
| 1019 | C22⋊C4 | — | 6 | 2 | no | — |
| 1020 | C22⋊C4 | — | 6 | 2 | no | — |
| 1021 | C22⋊C4 | — | 6 | 2 | no | — |
| 1022 | C22⋊C4 | — | 6 | 2 | no | — |
| 1023 | C22⋊C4 | — | 6 | 2 | no | — |
| 1024 | C22⋊C4 | — | 6 | 2 | no | — |
| 1025 | C22⋊C4 | — | 6 | 2 | no | — |
| 1026 | C22⋊C4 | — | 6 | 2 | no | — |
| 1027 | C22⋊C4 | — | 6 | 2 | no | — |
| 1028 | C22⋊C4 | — | 6 | 2 | no | — |
| 1029 | C22⋊C4 | — | 6 | 1 | no | — |
| 1030 | C22⋊C4 | — | 6 | 1 | no | — |
| 1031 | C22⋊C4 | — | 6 | 1 | no | — |
| 1032 | C22⋊C4 | — | 6 | 1 | no | — |
| 1033 | C42 | — | 2 | 1 | no | — |
| 1034 | C42 | — | 2 | 1 | no | — |
| 1035 | C42 | — | 2 | 1 | no | — |
| 1036 | C42 | — | 2 | 2 | no | — |
| 1037 | C42 | — | 2 | 2 | no | — |
| 1038 | C42 | — | 6 | 2 | no | — |
| 1039 | C42 | — | 6 | 2 | no | — |
| 1040 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 1041 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 1042 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 1043 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 1044 | C22×C3 | — | 2 | 1 | no | — |
| 1045 | C22×C3 | — | 2 | 1 | no | — |
| 1046 | C22×C3 | — | 4 | 1 | no | — |
| 1047 | C22×C3 | — | 4 | 1 | no | — |
| 1048 | C22×C3 | — | 4 | 1 | no | — |
| 1049 | C22×C3 | #546 | 1 | 2 | yes | — |
| 1050 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 1051 | C2×D3 | — | 2 | 2 | no | — |
| 1052 | C2×D3 | — | 2 | 2 | no | — |
| 1053 | C2×D3 | — | 2 | 2 | no | — |
| 1054 | C2×D3 | — | 2 | 2 | no | — |
| 1055 | C2×D3 | — | 2 | 2 | no | — |
| 1056 | C2×D3 | — | 2 | 2 | no | — |
| 1057 | C2×D3 | — | 4 | 1 | no | — |
| 1058 | C2×D3 | — | 4 | 1 | no | — |
| 1059 | C2×D3 | — | 4 | 1 | no | — |
| 1060 | C2×D3 | — | 4 | 1 | no | — |
| 1061 | C2×D3 | — | 4 | 1 | no | — |
| 1062 | C2×D3 | — | 4 | 1 | no | — |
| 1063 | C3×C4 | — | 2 | 1 | no | — |
| 1064 | C3×C4 | — | 2 | 1 | no | — |
| 1065 | C3×C4 | — | 2 | 1 | no | — |
| 1066 | C3×C4 | — | 2 | 1 | no | — |
| 1067 | C3×C4 | — | 2 | 4 | no | — |
| 1068 | C3×C4 | — | 4 | 1 | no | — |
| 1069 | C3×C4 | — | 4 | 2 | no | — |
| 1070 | C3×C4 | — | 4 | 1 | no | — |
| 1071 | C3×C4 | — | 4 | 1 | no | — |
| 1072 | C3×C4 | #546 | 1 | 2 | yes | — |
| 1073 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 1074 | C3×C4 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1075 | Dic3 | — | 2 | 2 | no | — |
| 1076 | Dic3 | — | 2 | 2 | no | — |
| 1077 | Dic3 | — | 4 | 2 | no | — |
| 1078 | Dic3 | — | 4 | 2 | no | — |
| 1079 | Dic3 | — | 4 | 1 | no | — |
| 1080 | Dic3 | — | 4 | 1 | no | — |
| 1081 | C23 | — | 2 | 1 | no | — |
| 1082 | C23 | — | 3 | 2 | no | — |
| 1083 | C23 | — | 3 | 2 | no | — |
| 1084 | C23 | — | 6 | 1 | no | — |
| 1085 | C23 | — | 6 | 1 | no | — |
| 1086 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1087 | Q8 | — | 2 | 2 | no | — |
| 1088 | Q8 | — | 2 | 4 | no | — |
| 1089 | Q8 | — | 2 | 1 | no | — |
| 1090 | Q8 | — | 2 | 1 | no | — |
| 1091 | Q8 | — | 6 | 2 | no | — |
| 1092 | Q8 | — | 6 | 2 | no | — |
| 1093 | Q8 | — | 6 | 1 | no | — |
| 1094 | Q8 | — | 6 | 1 | no | — |
| 1095 | Q8 | — | 6 | 1 | no | — |
| 1096 | Q8 | — | 6 | 1 | no | — |
| 1097 | Q8 | — | 12 | 4 | no | — |
| 1098 | Q8 | — | 12 | 4 | no | — |
| 1099 | Q8 | C2×#235 | 1 | 4 | yes | — |
| 1100 | D4 | — | 2 | 1 | no | — |
| 1101 | D4 | — | 2 | 1 | no | — |
| 1102 | D4 | — | 4 | 2 | no | — |
| 1103 | D4 | — | 6 | 4 | no | — |
| 1104 | D4 | — | 6 | 4 | no | — |
| 1105 | D4 | — | 6 | 1 | no | — |
| 1106 | D4 | — | 6 | 1 | no | — |
| 1107 | D4 | — | 6 | 1 | no | — |
| 1108 | D4 | — | 6 | 1 | no | — |
| 1109 | D4 | — | 6 | 2 | no | — |
| 1110 | D4 | — | 6 | 2 | no | — |
| 1111 | D4 | — | 12 | 2 | no | — |
| 1112 | D4 | — | 12 | 2 | no | — |
| 1113 | D4 | — | 12 | 4 | no | — |
| 1114 | D4 | — | 12 | 4 | no | — |
| 1115 | D4 | — | 12 | 2 | no | — |
| 1116 | D4 | — | 12 | 2 | no | — |
| 1117 | D4 | — | 12 | 2 | no | — |
| 1118 | D4 | — | 24 | 1 | no | — |
| 1119 | D4 | — | 24 | 2 | no | — |
| 1120 | D4 | — | 24 | 2 | no | — |
| 1121 | D4 | — | 24 | 2 | no | — |
| 1122 | D4 | — | 24 | 2 | no | — |
| 1123 | C2×C4 | — | 2 | 2 | no | — |
| 1124 | C2×C4 | — | 2 | 4 | no | — |
| 1125 | C2×C4 | — | 2 | 1 | no | — |
| 1126 | C2×C4 | — | 2 | 1 | no | — |
| 1127 | C2×C4 | — | 2 | 2 | no | — |
| 1128 | C2×C4 | — | 2 | 1 | no | — |
| 1129 | C2×C4 | — | 3 | 2 | no | — |
| 1130 | C2×C4 | — | 3 | 2 | no | — |
| 1131 | C2×C4 | — | 4 | 1 | no | — |
| 1132 | C2×C4 | — | 4 | 1 | no | — |
| 1133 | C2×C4 | — | 4 | 2 | no | — |
| 1134 | C2×C4 | — | 6 | 2 | no | — |
| 1135 | C2×C4 | — | 6 | 2 | no | — |
| 1136 | C2×C4 | — | 6 | 2 | no | — |
| 1137 | C2×C4 | — | 6 | 2 | no | — |
| 1138 | C2×C4 | — | 6 | 2 | no | — |
| 1139 | C2×C4 | — | 6 | 2 | no | — |
| 1140 | C2×C4 | — | 6 | 1 | no | — |
| 1141 | C2×C4 | — | 6 | 1 | no | — |
| 1142 | C2×C4 | — | 8 | 1 | no | — |
| 1143 | C2×C4 | — | 8 | 1 | no | — |
| 1144 | C2×C4 | — | 8 | 1 | no | — |
| 1145 | C2×C4 | — | 12 | 4 | no | — |
| 1146 | C2×C4 | — | 12 | 4 | no | — |
| 1147 | C2×C4 | — | 12 | 4 | no | — |
| 1148 | C2×C4 | — | 12 | 4 | no | — |
| 1149 | C2×C4 | — | 12 | 2 | no | — |
| 1150 | C2×C4 | — | 12 | 2 | no | — |
| 1151 | C2×C4 | — | 24 | 2 | no | — |
| 1152 | C2×C4 | — | 24 | 2 | no | — |
| 1153 | C2×C4 | — | 24 | 1 | no | — |
| 1154 | C2×C4 | — | 24 | 1 | no | — |
| 1155 | C2×C4 | C2×#235 | 1 | 2 | yes | — |
| 1156 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1157 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1158 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1159 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1160 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1161 | C2×C4 | #1009 | 1 | 2 | yes | — |
| 1162 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1163 | C8 | — | 2 | 2 | no | — |
| 1164 | C8 | — | 2 | 2 | no | — |
| 1165 | C8 | — | 6 | 1 | no | — |
| 1166 | C8 | — | 6 | 1 | no | — |
| 1167 | C8 | — | 6 | 1 | no | — |
| 1168 | C8 | — | 6 | 1 | no | — |
| 1169 | C2×C3 | — | 2 | 2 | no | — |
| 1170 | C2×C3 | — | 8 | 1 | no | — |
| 1171 | C2×C3 | C2×#546 | 1 | 1 | yes | characteristic |
| 1172 | C2×C3 | #3584 | 1 | 1 | yes | characteristic |
| 1173 | C2×C3 | #3586 | 1 | 1 | yes | characteristic |
| 1174 | D3 | — | 4 | 2 | no | — |
| 1175 | D3 | — | 4 | 2 | no | — |
| 1176 | D3 | — | 8 | 1 | no | — |
| 1177 | D3 | — | 8 | 1 | no | — |
| 1178 | C22 | — | 2 | 1 | no | — |
| 1179 | C22 | — | 2 | 1 | no | — |
| 1180 | C22 | — | 4 | 1 | no | — |
| 1181 | C22 | — | 4 | 1 | no | — |
| 1182 | C22 | — | 4 | 1 | no | — |
| 1183 | C22 | — | 6 | 2 | no | — |
| 1184 | C22 | — | 6 | 2 | no | — |
| 1185 | C22 | — | 6 | 2 | no | — |
| 1186 | C22 | — | 6 | 2 | no | — |
| 1187 | C22 | — | 6 | 2 | no | — |
| 1188 | C22 | — | 6 | 2 | no | — |
| 1189 | C22 | — | 12 | 1 | no | — |
| 1190 | C22 | — | 12 | 1 | no | — |
| 1191 | C22 | — | 12 | 1 | no | — |
| 1192 | C22 | — | 12 | 1 | no | — |
| 1193 | C22 | — | 12 | 1 | no | — |
| 1194 | C22 | — | 12 | 1 | no | — |
| 1195 | C22 | #5550 | 1 | 2 | yes | — |
| 1196 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1197 | C4 | — | 2 | 4 | no | — |
| 1198 | C4 | — | 2 | 1 | no | — |
| 1199 | C4 | — | 2 | 1 | no | — |
| 1200 | C4 | — | 2 | 1 | no | — |
| 1201 | C4 | — | 2 | 1 | no | — |
| 1202 | C4 | — | 4 | 1 | no | — |
| 1203 | C4 | — | 4 | 1 | no | — |
| 1204 | C4 | — | 4 | 1 | no | — |
| 1205 | C4 | — | 4 | 2 | no | — |
| 1206 | C4 | — | 6 | 2 | no | — |
| 1207 | C4 | — | 6 | 2 | no | — |
| 1208 | C4 | — | 12 | 1 | no | — |
| 1209 | C4 | — | 12 | 1 | no | — |
| 1210 | C4 | — | 12 | 2 | no | — |
| 1211 | C4 | — | 12 | 2 | no | — |
| 1212 | C4 | #5550 | 1 | 2 | yes | — |
| 1213 | C4 | C22×#235 | 1 | 1 | yes | characteristic |
| 1214 | C4 | C2×#1009 | 1 | 1 | yes | characteristic |
| 1215 | C3 | #61204 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1216 | C2 | — | 2 | 2 | no | — |
| 1217 | C2 | — | 8 | 1 | no | — |
| 1218 | C2 | — | 12 | 2 | no | — |
| 1219 | C2 | — | 12 | 2 | no | — |
| 1220 | C2 | — | 24 | 1 | no | — |
| 1221 | C2 | — | 24 | 1 | no | — |
| 1222 | C2 | C2×#5550 | 1 | 1 | yes | characteristic |
| 1223 | C2 | #87197 | 1 | 1 | yes | characteristic |
| 1224 | C2 | #87199 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #85851 | C2 | semidirect |
| 2. #85818 | C2 | semidirect |
| 3. C3×C4×#137 | C2 | semidirect |
| 4. #83984 | C2 | semidirect |
| 5. #83984 | C2 | semidirect |
| 6. #82525 | C2 | semidirect |
| 7. C2×#5022 | C2 | semidirect |
| 8. #79844 | C2 | semidirect |
| 9. #79841 | C2 | semidirect |
| 10. #79804 | C2 | semidirect |
| 11. #79799 | C2 | semidirect |
| 12. #79738 | C2 | semidirect |
| 13. #79736 | C2 | semidirect |
| 14. #79684 | C2 | semidirect |
| 15. #79679 | C2 | semidirect |
| 16. #79222 | C2 | semidirect |
| 17. #79221 | C2 | semidirect |
| 18. #78957 | C2 | semidirect |
| 19. #78957 | C2 | semidirect |
| 20. #78891 | C2 | semidirect |
| 21. #78890 | C2 | semidirect |
| 22. #78529 | C2 | semidirect |
| 23. #78522 | C2 | semidirect |
| 155. C4×#137 | D3 | semidirect |
| 1215. C3 | #61204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #85851 | 2 |
| #85818 | 2 |
| C3×C4×#137 | 2 |
| #83984 | 2 |
| #82525 | 2 |
| C2×#5022 | 2 |
| #79844 | 2 |
| #79841 | 2 |
| #79804 | 2 |
| #79799 | 2 |
| #79738 | 2 |
| #79736 | 2 |
| #79684 | 2 |
| #79679 | 2 |
| #79222 | 2 |
| #79221 | 2 |
| #78957 | 2 |
| #78891 | 2 |
| #78890 | 2 |
| #78529 | 2 |
| #78522 | 2 |
| #61204 | 3 |