Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2068 conjugacy classes of subgroups.
The subgroup lattice has 1192 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86928 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #86784 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#3333 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83640 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #83571 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #81579 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #81565 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #81306 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81285 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #81123 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D3×#477 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #80822 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #80808 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #80400 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #80382 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #80251 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #80232 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #79735 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | C4×#918 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #79564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 21 | #79541 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #78896 | C2 | 1 | 2 | yes | maximal, complemented |
| 23 | #78883 | C2 | 1 | 2 | yes | maximal, complemented |
| 24 | #61203 | — | 3 | 1 | no | maximal, Sylow |
| 25 | C2×#1010 | C22 | 1 | 2 | yes | — |
| 26 | C3×#554 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#550 | C22 | 1 | 1 | yes | characteristic |
| 28 | #5831 | C22 | 1 | 2 | yes | — |
| 29 | C2×#918 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#916 | C22 | 1 | 2 | yes | — |
| 31 | C2×#907 | C22 | 1 | 2 | yes | — |
| 32 | #5734 | C22 | 1 | 1 | yes | characteristic |
| 33 | D3×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 34 | #5718 | — | 2 | 1 | no | — |
| 35 | #5718 | C22 | 1 | 1 | yes | characteristic |
| 36 | #5716 | — | 2 | 1 | no | — |
| 37 | #5716 | C22 | 1 | 1 | yes | characteristic |
| 38 | #5695 | — | 2 | 1 | no | — |
| 39 | #5688 | — | 2 | 1 | no | — |
| 40 | #5641 | C22 | 1 | 2 | yes | — |
| 41 | #5640 | — | 2 | 2 | no | — |
| 42 | #5633 | — | 2 | 2 | no | — |
| 43 | #5629 | C22 | 1 | 2 | yes | — |
| 44 | #5608 | — | 2 | 2 | no | — |
| 45 | #5608 | C22 | 1 | 2 | yes | — |
| 46 | #5598 | — | 2 | 2 | no | — |
| 47 | #5598 | C22 | 1 | 2 | yes | — |
| 48 | #5579 | C22 | 1 | 1 | yes | characteristic |
| 49 | Q8×D12 | C22 | 1 | 1 | yes | characteristic |
| 50 | C4×#239 | C22 | 1 | 1 | yes | characteristic |
| 51 | C4×D3×Q8 | C22 | 1 | 1 | yes | characteristic |
| 52 | #5563 | C22 | 1 | 1 | yes | characteristic |
| 53 | #5558 | — | 2 | 1 | no | — |
| 54 | #5548 | — | 2 | 1 | no | — |
| 55 | #5548 | — | 2 | 1 | no | — |
| 56 | #5548 | C22 | 1 | 1 | yes | characteristic |
| 57 | D4×Dic6 | — | 2 | 1 | no | — |
| 58 | D4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 59 | #5507 | C22 | 1 | 2 | yes | — |
| 60 | #5504 | C22 | 1 | 2 | yes | — |
| 61 | C3×#486 | C22 | 1 | 1 | yes | characteristic |
| 62 | C3×#480 | C22 | 1 | 2 | yes | — |
| 63 | C3×#477 | C22 | 1 | 1 | yes | characteristic |
| 64 | C3×#468 | C22 | 1 | 2 | yes | — |
| 65 | C3×#460 | C22 | 1 | 1 | yes | characteristic |
| 66 | C3×#452 | C22 | 1 | 2 | yes | — |
| 67 | C3×C4×Q16 | C22 | 1 | 1 | yes | characteristic |
| 68 | C3×#436 | C22 | 1 | 1 | yes | characteristic |
| 69 | C3×#417 | C22 | 1 | 2 | yes | — |
| 70 | #5238 | C22 | 1 | 2 | yes | — |
| 71 | #5233 | C22 | 1 | 2 | yes | — |
| 72 | #5186 | C22 | 1 | 2 | yes | — |
| 73 | #5184 | C22 | 1 | 1 | yes | characteristic |
| 74 | #5174 | C22 | 1 | 2 | yes | — |
| 75 | #5173 | C22 | 1 | 2 | yes | — |
| 76 | #5166 | C22 | 1 | 2 | yes | — |
| 77 | #5134 | C22 | 1 | 2 | yes | — |
| 78 | #5127 | C22 | 1 | 2 | yes | — |
| 79 | #5120 | C22 | 1 | 2 | yes | — |
| 80 | #5093 | C22 | 1 | 1 | yes | characteristic |
| 81 | #5091 | C22 | 1 | 1 | yes | characteristic |
| 82 | #5072 | C22 | 1 | 1 | yes | characteristic |
| 83 | #5070 | C22 | 1 | 1 | yes | characteristic |
| 84 | #5051 | C22 | 1 | 2 | yes | — |
| 85 | #5050 | C22 | 1 | 2 | yes | — |
| 86 | #5038 | C22 | 1 | 2 | yes | — |
| 87 | #5035 | C22 | 1 | 2 | yes | — |
| 88 | #5031 | C22 | 1 | 1 | yes | characteristic |
| 89 | C4×#216 | C22 | 1 | 1 | yes | characteristic |
| 90 | C4×#215 | C22 | 1 | 1 | yes | characteristic |
| 91 | #5021 | C22 | 1 | 1 | yes | characteristic |
| 92 | D4×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 93 | #4970 | C22 | 1 | 2 | yes | — |
| 94 | C2×#810 | C22 | 1 | 2 | yes | — |
| 95 | #4889 | C22 | 1 | 1 | yes | characteristic |
| 96 | #4888 | C22 | 1 | 2 | yes | — |
| 97 | #4886 | C22 | 1 | 2 | yes | — |
| 98 | #4884 | C22 | 1 | 2 | yes | — |
| 99 | #4881 | C22 | 1 | 1 | yes | characteristic |
| 100 | D3×#107 | C22 | 1 | 2 | yes | — |
| 101 | #4875 | C22 | 1 | 2 | yes | — |
| 102 | #4850 | C22 | 1 | 1 | yes | characteristic |
| 103 | #4841 | C22 | 1 | 1 | yes | characteristic |
| 104 | #4838 | C22 | 1 | 1 | yes | characteristic |
| 105 | D3×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 106 | #4817 | C22 | 1 | 1 | yes | characteristic |
| 107 | #4813 | C22 | 1 | 2 | yes | — |
| 108 | #4806 | C22 | 1 | 2 | yes | — |
| 109 | #4803 | C22 | 1 | 1 | yes | characteristic |
| 110 | #4802 | C22 | 1 | 1 | yes | characteristic |
| 111 | #4802 | C22 | 1 | 2 | yes | — |
| 112 | D3×#103 | C22 | 1 | 2 | yes | — |
| 113 | D3×#103 | C22 | 1 | 2 | yes | — |
| 114 | #4793 | C22 | 1 | 2 | yes | — |
| 115 | #4789 | C22 | 1 | 1 | yes | characteristic |
| 116 | #4787 | C22 | 1 | 2 | yes | — |
| 117 | #4781 | C22 | 1 | 2 | yes | — |
| 118 | #4779 | C22 | 1 | 2 | yes | — |
| 119 | #4775 | C22 | 1 | 2 | yes | — |
| 120 | #4774 | C22 | 1 | 2 | yes | — |
| 121 | #4772 | C22 | 1 | 2 | yes | — |
| 122 | #4772 | C22 | 1 | 2 | yes | — |
| 123 | #4771 | C22 | 1 | 2 | yes | — |
| 124 | #4771 | C22 | 1 | 2 | yes | — |
| 125 | #4771 | C22 | 1 | 2 | yes | — |
| 126 | #4765 | C22 | 1 | 2 | yes | — |
| 127 | #4765 | C22 | 1 | 2 | yes | — |
| 128 | #4738 | C22 | 1 | 2 | yes | — |
| 129 | #4730 | C22 | 1 | 2 | yes | — |
| 130 | #4727 | C22 | 1 | 2 | yes | — |
| 131 | #4723 | C22 | 1 | 2 | yes | — |
| 132 | C4×#204 | C22 | 1 | 1 | yes | characteristic |
| 133 | C4×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic |
| 134 | C8×D12 | C22 | 1 | 1 | yes | characteristic |
| 135 | #4681 | C22 | 1 | 1 | yes | characteristic |
| 136 | #3511 | — | 3 | 1 | no | — |
| 137 | #3497 | — | 3 | 1 | no | — |
| 138 | #3333 | — | 3 | 1 | no | — |
| 139 | #3333 | D3 | 1 | 1 | yes | characteristic, complemented |
| 140 | #3329 | — | 3 | 1 | no | — |
| 141 | #3329 | — | 3 | 1 | no | — |
| 142 | #3313 | — | 3 | 2 | no | — |
| 143 | #3313 | — | 3 | 2 | no | — |
| 144 | #3308 | — | 3 | 2 | no | — |
| 145 | #3308 | — | 3 | 2 | no | — |
| 146 | #3305 | — | 3 | 1 | no | — |
| 147 | #3305 | — | 3 | 1 | no | — |
| 148 | #3299 | — | 3 | 1 | no | — |
| 149 | #3299 | — | 3 | 1 | no | — |
| 150 | #3141 | — | 3 | 1 | no | — |
| 151 | #3098 | — | 3 | 2 | no | — |
| 152 | C2×#477 | — | 3 | 1 | no | — |
| 153 | #3061 | — | 3 | 2 | no | — |
| 154 | #3035 | — | 3 | 1 | no | — |
| 155 | #3013 | — | 3 | 2 | no | — |
| 156 | C4×#137 | — | 3 | 1 | no | — |
| 157 | #2935 | — | 3 | 1 | no | — |
| 158 | #2898 | — | 3 | 2 | no | — |
| 159 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 160 | #1010 | — | 2 | 8 | no | — |
| 161 | #1010 | — | 4 | 4 | no | — |
| 162 | C2×#239 | C23 | 1 | 1 | yes | characteristic |
| 163 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 164 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 165 | C2×D3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 166 | C2×#237 | — | 2 | 2 | no | — |
| 167 | C2×#237 | — | 2 | 2 | no | — |
| 168 | C2×#237 | C23 | 1 | 2 | yes | — |
| 169 | C2×#237 | C23 | 1 | 2 | yes | — |
| 170 | C2×#235 | — | 2 | 2 | no | — |
| 171 | C2×#235 | — | 2 | 2 | no | — |
| 172 | C2×#235 | C23 | 1 | 2 | yes | — |
| 173 | C22×Dic6 | — | 2 | 2 | no | — |
| 174 | C22×Dic6 | C23 | 1 | 2 | yes | — |
| 175 | C2×C3×Q16 | C23 | 1 | 1 | yes | characteristic |
| 176 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 177 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 178 | C3×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 179 | C3×#127 | — | 2 | 1 | no | — |
| 180 | C3×#127 | C23 | 1 | 1 | yes | characteristic |
| 181 | C3×#125 | — | 2 | 1 | no | — |
| 182 | C3×C22⋊Q8 | — | 2 | 2 | no | — |
| 183 | C3×C22⋊Q8 | C23 | 1 | 2 | yes | — |
| 184 | C3×#121 | — | 2 | 2 | no | — |
| 185 | C3×#121 | C23 | 1 | 2 | yes | — |
| 186 | C3×C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 187 | C3×C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 188 | C3×C4×D4 | — | 2 | 1 | no | — |
| 189 | C3×C4×D4 | — | 2 | 1 | no | — |
| 190 | C3×C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 191 | C2×C3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 192 | #947 | — | 2 | 2 | no | — |
| 193 | #946 | C23 | 1 | 2 | yes | — |
| 194 | Q8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 195 | Q8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 196 | #944 | — | 2 | 1 | no | — |
| 197 | C2×#216 | C23 | 1 | 1 | yes | characteristic |
| 198 | C2×#216 | C23 | 1 | 2 | yes | — |
| 199 | C2×#215 | C23 | 1 | 1 | yes | characteristic |
| 200 | #940 | — | 2 | 1 | no | — |
| 201 | #940 | D4 | 1 | 1 | yes | characteristic |
| 202 | #939 | — | 2 | 2 | no | — |
| 203 | #939 | — | 2 | 2 | no | — |
| 204 | #939 | — | 2 | 2 | no | — |
| 205 | #938 | — | 2 | 1 | no | — |
| 206 | #938 | — | 2 | 2 | no | — |
| 207 | #938 | — | 2 | 2 | no | — |
| 208 | #938 | — | 2 | 1 | no | — |
| 209 | #938 | — | 2 | 1 | no | — |
| 210 | #938 | D4 | 1 | 1 | yes | characteristic |
| 211 | #938 | C23 | 1 | 2 | yes | — |
| 212 | #936 | — | 2 | 2 | no | — |
| 213 | #936 | C23 | 1 | 2 | yes | — |
| 214 | D4×Dic3 | — | 2 | 1 | no | — |
| 215 | D4×Dic3 | — | 2 | 2 | no | — |
| 216 | D4×Dic3 | — | 2 | 1 | no | — |
| 217 | D4×Dic3 | — | 2 | 1 | no | — |
| 218 | D4×Dic3 | — | 2 | 1 | no | — |
| 219 | C2×#213 | C23 | 1 | 2 | yes | — |
| 220 | #930 | C23 | 1 | 2 | yes | — |
| 221 | #929 | — | 2 | 2 | no | — |
| 222 | C4×#67 | — | 2 | 2 | no | — |
| 223 | C4×#67 | — | 2 | 2 | no | — |
| 224 | C4×#67 | — | 2 | 2 | no | — |
| 225 | C4×#67 | C23 | 1 | 2 | yes | — |
| 226 | #926 | C23 | 1 | 2 | yes | — |
| 227 | #924 | — | 2 | 2 | no | — |
| 228 | #924 | C23 | 1 | 2 | yes | — |
| 229 | C22×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 230 | #918 | — | 2 | 4 | no | — |
| 231 | #916 | — | 4 | 4 | no | — |
| 232 | #907 | — | 4 | 4 | no | — |
| 233 | C2×#204 | C23 | 1 | 1 | yes | characteristic |
| 234 | C2×#204 | C23 | 1 | 2 | yes | — |
| 235 | C2×ΓL(1,𝔽25) | C23 | 1 | 1 | yes | characteristic |
| 236 | C2×ΓL(1,𝔽25) | C23 | 1 | 1 | yes | characteristic |
| 237 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 238 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 239 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 240 | #898 | — | 2 | 2 | no | — |
| 241 | #897 | — | 2 | 2 | no | — |
| 242 | #897 | C23 | 1 | 2 | yes | — |
| 243 | #896 | — | 2 | 2 | no | — |
| 244 | #896 | — | 2 | 2 | no | — |
| 245 | #896 | — | 2 | 2 | no | — |
| 246 | #895 | — | 2 | 2 | no | — |
| 247 | #895 | — | 2 | 1 | no | — |
| 248 | #895 | D4 | 1 | 1 | yes | characteristic |
| 249 | #895 | C23 | 1 | 2 | yes | — |
| 250 | #894 | — | 2 | 2 | no | — |
| 251 | #893 | — | 2 | 2 | no | — |
| 252 | #893 | — | 2 | 1 | no | — |
| 253 | #893 | C23 | 1 | 1 | yes | characteristic |
| 254 | #892 | — | 2 | 1 | no | — |
| 255 | #892 | — | 2 | 1 | no | — |
| 256 | #892 | — | 2 | 1 | no | — |
| 257 | #892 | C23 | 1 | 2 | yes | — |
| 258 | #892 | C23 | 1 | 1 | yes | characteristic |
| 259 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 260 | D3×C4⋊C4 | — | 2 | 1 | no | — |
| 261 | D3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 262 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 263 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 264 | #888 | — | 2 | 1 | no | — |
| 265 | #888 | — | 2 | 1 | no | — |
| 266 | #888 | D4 | 1 | 1 | yes | characteristic |
| 267 | #888 | C23 | 1 | 2 | yes | — |
| 268 | #887 | — | 2 | 2 | no | — |
| 269 | #887 | — | 2 | 2 | no | — |
| 270 | #887 | — | 2 | 1 | no | — |
| 271 | #887 | C23 | 1 | 1 | yes | characteristic |
| 272 | #885 | — | 2 | 2 | no | — |
| 273 | #885 | — | 2 | 2 | no | — |
| 274 | #885 | — | 2 | 2 | no | — |
| 275 | #885 | D4 | 1 | 2 | yes | — |
| 276 | #884 | — | 2 | 2 | no | — |
| 277 | #884 | — | 2 | 2 | no | — |
| 278 | #884 | — | 2 | 2 | no | — |
| 279 | #884 | D4 | 1 | 2 | yes | — |
| 280 | #879 | — | 2 | 2 | no | — |
| 281 | #878 | — | 2 | 2 | no | — |
| 282 | #878 | — | 2 | 2 | no | — |
| 283 | #878 | — | 2 | 2 | no | — |
| 284 | C4×D12 | — | 2 | 1 | no | — |
| 285 | C4×D12 | — | 2 | 1 | no | — |
| 286 | C4×D12 | — | 2 | 1 | no | — |
| 287 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 288 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 289 | C42×D3 | — | 2 | 1 | no | — |
| 290 | C42×D3 | — | 2 | 1 | no | — |
| 291 | C42×D3 | C23 | 1 | 1 | yes | characteristic |
| 292 | #870 | — | 2 | 1 | no | — |
| 293 | #869 | — | 2 | 1 | no | — |
| 294 | #869 | C23 | 1 | 1 | yes | characteristic |
| 295 | #869 | C23 | 1 | 1 | yes | characteristic |
| 296 | C4×Dic6 | — | 2 | 1 | no | — |
| 297 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 298 | C3×#107 | C23 | 1 | 2 | yes | — |
| 299 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 300 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 301 | C3×#103 | C23 | 1 | 1 | yes | characteristic |
| 302 | C3×#103 | C23 | 1 | 2 | yes | — |
| 303 | C3×#103 | C23 | 1 | 1 | yes | characteristic |
| 304 | C3×#102 | C23 | 1 | 2 | yes | — |
| 305 | C3×#102 | C23 | 1 | 2 | yes | — |
| 306 | C3×#102 | C23 | 1 | 2 | yes | — |
| 307 | C3×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 308 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 309 | #835 | C23 | 1 | 1 | yes | characteristic |
| 310 | #835 | C23 | 1 | 1 | yes | characteristic |
| 311 | #835 | C23 | 1 | 2 | yes | — |
| 312 | #832 | C23 | 1 | 2 | yes | — |
| 313 | #832 | C23 | 1 | 2 | yes | — |
| 314 | #832 | C23 | 1 | 2 | yes | — |
| 315 | #830 | C23 | 1 | 2 | yes | — |
| 316 | #821 | C23 | 1 | 1 | yes | characteristic |
| 317 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 318 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 319 | #818 | C23 | 1 | 2 | yes | — |
| 320 | #817 | C23 | 1 | 1 | yes | characteristic |
| 321 | #816 | C23 | 1 | 1 | yes | characteristic |
| 322 | #816 | C23 | 1 | 2 | yes | — |
| 323 | #816 | C23 | 1 | 2 | yes | — |
| 324 | #816 | C23 | 1 | 2 | yes | — |
| 325 | #816 | C23 | 1 | 2 | yes | — |
| 326 | #815 | C23 | 1 | 1 | yes | characteristic |
| 327 | #815 | C23 | 1 | 1 | yes | characteristic |
| 328 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 329 | #810 | C23 | 1 | 2 | yes | — |
| 330 | #810 | C23 | 1 | 2 | yes | — |
| 331 | #810 | C23 | 1 | 2 | yes | — |
| 332 | #810 | C23 | 1 | 2 | yes | — |
| 333 | #810 | C23 | 1 | 1 | yes | characteristic |
| 334 | #809 | C23 | 1 | 1 | yes | characteristic |
| 335 | #808 | C23 | 1 | 1 | yes | characteristic |
| 336 | #807 | C23 | 1 | 2 | yes | — |
| 337 | #807 | C23 | 1 | 2 | yes | — |
| 338 | #807 | C23 | 1 | 1 | yes | characteristic |
| 339 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 340 | C4×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 341 | C2×2−1+4 | — | 3 | 2 | no | — |
| 342 | C2×#137 | — | 3 | 1 | no | — |
| 343 | C2×#135 | — | 3 | 2 | no | — |
| 344 | C2×#131 | — | 3 | 2 | no | — |
| 345 | #556 | — | 3 | 2 | no | — |
| 346 | #555 | — | 3 | 1 | no | — |
| 347 | #555 | — | 3 | 1 | no | — |
| 348 | #554 | — | 3 | 1 | no | — |
| 349 | #554 | C2×D3 | 1 | 1 | yes | characteristic |
| 350 | #553 | — | 6 | 1 | no | — |
| 351 | #553 | — | 6 | 1 | no | — |
| 352 | #550 | — | 3 | 1 | no | — |
| 353 | #550 | — | 6 | 1 | no | — |
| 354 | #550 | C2×D3 | 1 | 1 | yes | characteristic |
| 355 | D4×Q8 | — | 3 | 1 | no | — |
| 356 | D4×Q8 | — | 3 | 1 | no | — |
| 357 | D4×Q8 | — | 6 | 1 | no | — |
| 358 | #548 | — | 3 | 2 | no | — |
| 359 | #548 | — | 3 | 2 | no | — |
| 360 | #548 | — | 6 | 2 | no | — |
| 361 | #548 | — | 6 | 2 | no | — |
| 362 | #547 | — | 3 | 2 | no | — |
| 363 | #542 | — | 6 | 2 | no | — |
| 364 | #537 | — | 3 | 2 | no | — |
| 365 | #537 | — | 3 | 2 | no | — |
| 366 | #537 | — | 6 | 2 | no | — |
| 367 | #533 | — | 6 | 1 | no | — |
| 368 | #532 | — | 3 | 1 | no | — |
| 369 | #532 | — | 3 | 1 | no | — |
| 370 | #532 | — | 6 | 1 | no | — |
| 371 | #532 | — | 6 | 1 | no | — |
| 372 | #532 | — | 6 | 1 | no | — |
| 373 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 374 | #520 | — | 3 | 2 | no | — |
| 375 | C4×#41 | — | 3 | 1 | no | — |
| 376 | C2×C4×Q8 | — | 3 | 1 | no | — |
| 377 | #489 | — | 3 | 2 | no | — |
| 378 | #489 | — | 3 | 2 | no | — |
| 379 | #487 | — | 3 | 1 | no | — |
| 380 | #487 | — | 3 | 1 | no | — |
| 381 | #486 | — | 3 | 1 | no | — |
| 382 | #486 | C2×D3 | 1 | 1 | yes | characteristic |
| 383 | #485 | — | 3 | 2 | no | — |
| 384 | #485 | — | 3 | 2 | no | — |
| 385 | #484 | — | 3 | 2 | no | — |
| 386 | #484 | — | 3 | 2 | no | — |
| 387 | #482 | — | 3 | 2 | no | — |
| 388 | #482 | — | 3 | 2 | no | — |
| 389 | #480 | — | 3 | 2 | no | — |
| 390 | #480 | C2×D3 | 1 | 2 | yes | — |
| 391 | #477 | — | 3 | 1 | no | — |
| 392 | #477 | — | 3 | 1 | no | — |
| 393 | #477 | — | 3 | 2 | no | — |
| 394 | #477 | — | 3 | 1 | no | — |
| 395 | #477 | — | 3 | 2 | no | — |
| 396 | #477 | C2×D3 | 1 | 1 | yes | characteristic |
| 397 | #468 | — | 3 | 2 | no | — |
| 398 | #468 | — | 3 | 2 | no | — |
| 399 | #468 | — | 3 | 2 | no | — |
| 400 | #468 | C2×D3 | 1 | 2 | yes | — |
| 401 | #467 | — | 3 | 2 | no | — |
| 402 | #467 | — | 3 | 2 | no | — |
| 403 | #466 | — | 3 | 2 | no | — |
| 404 | #466 | — | 3 | 2 | no | — |
| 405 | #464 | — | 3 | 2 | no | — |
| 406 | #463 | — | 3 | 2 | no | — |
| 407 | #462 | — | 3 | 1 | no | — |
| 408 | #461 | — | 3 | 1 | no | — |
| 409 | #460 | C2×D3 | 1 | 1 | yes | characteristic |
| 410 | #459 | — | 3 | 1 | no | — |
| 411 | #452 | — | 3 | 2 | no | — |
| 412 | #452 | C2×D3 | 1 | 2 | yes | — |
| 413 | #451 | — | 3 | 2 | no | — |
| 414 | #451 | — | 3 | 2 | no | — |
| 415 | #449 | — | 3 | 2 | no | — |
| 416 | #449 | — | 3 | 2 | no | — |
| 417 | #448 | — | 3 | 2 | no | — |
| 418 | #448 | — | 3 | 2 | no | — |
| 419 | #441 | — | 3 | 1 | no | — |
| 420 | #441 | — | 3 | 1 | no | — |
| 421 | #440 | — | 3 | 1 | no | — |
| 422 | #440 | — | 3 | 1 | no | — |
| 423 | C4×Q16 | — | 3 | 1 | no | — |
| 424 | C4×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 425 | C4×SD16 | — | 3 | 1 | no | — |
| 426 | C4×SD16 | — | 3 | 1 | no | — |
| 427 | #436 | — | 3 | 1 | no | — |
| 428 | #436 | C2×D3 | 1 | 1 | yes | characteristic |
| 429 | #435 | — | 3 | 2 | no | — |
| 430 | #435 | — | 3 | 2 | no | — |
| 431 | C8×D4 | — | 3 | 1 | no | — |
| 432 | C8×D4 | — | 3 | 1 | no | — |
| 433 | #428 | — | 3 | 1 | no | — |
| 434 | C2×#107 | — | 3 | 2 | no | — |
| 435 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 436 | #419 | — | 3 | 2 | no | — |
| 437 | #419 | — | 3 | 2 | no | — |
| 438 | #419 | — | 3 | 1 | no | — |
| 439 | #417 | — | 3 | 1 | no | — |
| 440 | #417 | — | 3 | 2 | no | — |
| 441 | #417 | — | 3 | 2 | no | — |
| 442 | #417 | — | 3 | 2 | no | — |
| 443 | #417 | C2×D3 | 1 | 2 | yes | — |
| 444 | #416 | — | 3 | 2 | no | — |
| 445 | #416 | — | 3 | 2 | no | — |
| 446 | #416 | — | 3 | 2 | no | — |
| 447 | C2×#103 | — | 3 | 2 | no | — |
| 448 | C2×#103 | — | 3 | 2 | no | — |
| 449 | C2×#103 | — | 3 | 2 | no | — |
| 450 | #408 | — | 3 | 2 | no | — |
| 451 | C4×M16 | — | 3 | 1 | no | — |
| 452 | C3×#41 | — | 2 | 4 | no | — |
| 453 | C3×#41 | — | 4 | 2 | no | — |
| 454 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 455 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 456 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 457 | C2×C3×D4 | — | 2 | 2 | no | — |
| 458 | C2×C3×D4 | — | 2 | 2 | no | — |
| 459 | C2×C3×D4 | — | 2 | 1 | no | — |
| 460 | C2×C3×D4 | — | 2 | 1 | no | — |
| 461 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 462 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 463 | C22×C3×C4 | — | 2 | 2 | no | — |
| 464 | C22×C3×C4 | — | 2 | 2 | no | — |
| 465 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 466 | C2×#67 | — | 2 | 2 | no | — |
| 467 | C2×#67 | — | 2 | 2 | no | — |
| 468 | C2×#67 | — | 2 | 2 | no | — |
| 469 | C2×#67 | — | 2 | 2 | no | — |
| 470 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 471 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 472 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 473 | C22×Dic3 | — | 2 | 2 | no | — |
| 474 | C22×Dic3 | — | 2 | 2 | no | — |
| 475 | C22×Dic3 | — | 2 | 2 | no | — |
| 476 | #239 | — | 2 | 2 | no | — |
| 477 | #239 | — | 2 | 2 | no | — |
| 478 | D3×Q8 | — | 2 | 2 | no | — |
| 479 | D3×Q8 | — | 2 | 4 | no | — |
| 480 | D3×Q8 | — | 4 | 2 | no | — |
| 481 | D3×Q8 | — | 8 | 2 | no | — |
| 482 | D3×Q8 | #41 | 1 | 4 | yes | complemented |
| 483 | #237 | — | 2 | 4 | no | — |
| 484 | #237 | — | 2 | 4 | no | — |
| 485 | #237 | — | 2 | 4 | no | — |
| 486 | #237 | — | 4 | 2 | no | — |
| 487 | #237 | — | 4 | 8 | no | — |
| 488 | #237 | — | 4 | 8 | no | — |
| 489 | #235 | — | 2 | 4 | no | — |
| 490 | #235 | — | 2 | 4 | no | — |
| 491 | #235 | — | 4 | 8 | no | — |
| 492 | #235 | — | 8 | 4 | no | — |
| 493 | C2×D12 | — | 2 | 1 | no | — |
| 494 | C2×D12 | — | 2 | 2 | no | — |
| 495 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 496 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 497 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 498 | C2×C4×D3 | — | 2 | 1 | no | — |
| 499 | C2×C4×D3 | — | 2 | 2 | no | — |
| 500 | C2×C4×D3 | — | 2 | 1 | no | — |
| 501 | C2×C4×D3 | — | 2 | 1 | no | — |
| 502 | C2×C4×D3 | — | 2 | 1 | no | — |
| 503 | C2×C4×D3 | — | 2 | 1 | no | — |
| 504 | C2×C4×D3 | — | 2 | 2 | no | — |
| 505 | C2×C4×D3 | — | 2 | 2 | no | — |
| 506 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 507 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 508 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 509 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 510 | C2×Dic6 | — | 2 | 1 | no | — |
| 511 | C2×Dic6 | — | 2 | 4 | no | — |
| 512 | C2×Dic6 | — | 2 | 2 | no | — |
| 513 | C2×Dic6 | — | 2 | 2 | no | — |
| 514 | C2×Dic6 | — | 2 | 2 | no | — |
| 515 | C2×Dic6 | — | 2 | 1 | no | — |
| 516 | C2×Dic6 | — | 4 | 2 | no | — |
| 517 | C2×Dic6 | — | 4 | 8 | no | — |
| 518 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 519 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 520 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 521 | C3×Q16 | — | 2 | 2 | no | — |
| 522 | C3×SD16 | — | 4 | 2 | no | — |
| 523 | C3×M16 | — | 4 | 2 | no | — |
| 524 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 525 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 526 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 527 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 528 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 529 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 530 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 531 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 532 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 533 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 534 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 535 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 536 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 537 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 538 | C3×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 539 | C3×C42 | — | 2 | 1 | no | — |
| 540 | C3×C42 | — | 2 | 1 | no | — |
| 541 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 542 | #217 | — | 2 | 2 | no | — |
| 543 | #217 | — | 2 | 2 | no | — |
| 544 | #217 | — | 2 | 2 | no | — |
| 545 | #217 | — | 2 | 2 | no | — |
| 546 | #217 | — | 2 | 2 | no | — |
| 547 | #217 | C2×D4 | 1 | 2 | yes | — |
| 548 | #216 | — | 2 | 2 | no | — |
| 549 | #216 | — | 4 | 2 | no | — |
| 550 | #215 | — | 2 | 2 | no | — |
| 551 | #213 | — | 4 | 2 | no | — |
| 552 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 553 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 554 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 555 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 556 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 557 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 558 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 559 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 560 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 561 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 562 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 563 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 564 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 565 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 566 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 567 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 568 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 569 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 570 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 571 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 572 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 573 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 574 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 575 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 576 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 577 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 578 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 579 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 580 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 581 | C4×Dic3 | — | 2 | 1 | no | — |
| 582 | C4×Dic3 | — | 2 | 2 | no | — |
| 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 | C2×D4 | 1 | 1 | yes | characteristic |
| 589 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 590 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 591 | C2×C3⋊C8 | — | 4 | 2 | no | — |
| 592 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 593 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 594 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 595 | #204 | — | 2 | 2 | no | — |
| 596 | #204 | — | 4 | 2 | no | — |
| 597 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 598 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 599 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 600 | D3×C8 | — | 2 | 4 | no | — |
| 601 | D3×C8 | — | 4 | 2 | no | — |
| 602 | 2−1+4 | — | 6 | 8 | no | — |
| 603 | 2−1+4 | — | 12 | 4 | no | — |
| 604 | C2×#41 | — | 3 | 2 | no | — |
| 605 | C2×#41 | — | 3 | 1 | no | — |
| 606 | C2×#41 | — | 3 | 2 | no | — |
| 607 | C2×#41 | — | 3 | 2 | no | — |
| 608 | C2×#41 | — | 6 | 2 | no | — |
| 609 | C2×#41 | — | 6 | 2 | no | — |
| 610 | C2×#41 | — | 6 | 2 | no | — |
| 611 | C2×#41 | — | 6 | 2 | no | — |
| 612 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 613 | C22×Q8 | — | 3 | 1 | no | — |
| 614 | C22×Q8 | — | 3 | 2 | no | — |
| 615 | C22×Q8 | — | 3 | 2 | no | — |
| 616 | C22×Q8 | — | 6 | 2 | no | — |
| 617 | C22×Q8 | — | 6 | 1 | no | — |
| 618 | #137 | — | 6 | 4 | no | — |
| 619 | #135 | — | 12 | 4 | no | — |
| 620 | C2×Q16 | — | 3 | 1 | no | — |
| 621 | C2×Q16 | — | 3 | 2 | no | — |
| 622 | C2×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 623 | C2×SD16 | — | 3 | 1 | no | — |
| 624 | C2×SD16 | — | 3 | 1 | no | — |
| 625 | C2×SD16 | — | 3 | 2 | no | — |
| 626 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 627 | C2×D8 | — | 3 | 2 | no | — |
| 628 | #131 | — | 12 | 4 | no | — |
| 629 | C2×M16 | — | 3 | 1 | no | — |
| 630 | C2×M16 | — | 3 | 1 | no | — |
| 631 | C2×M16 | — | 3 | 2 | no | — |
| 632 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 633 | C22×C8 | — | 3 | 2 | no | — |
| 634 | C22×C8 | — | 3 | 2 | no | — |
| 635 | C22×C8 | — | 3 | 2 | no | — |
| 636 | C4⋊Q8 | — | 3 | 1 | no | — |
| 637 | C4⋊Q8 | — | 3 | 2 | no | — |
| 638 | C4⋊Q8 | — | 3 | 1 | no | — |
| 639 | C4⋊Q8 | — | 3 | 1 | no | — |
| 640 | C4⋊Q8 | — | 6 | 1 | no | — |
| 641 | C4⋊Q8 | — | 6 | 1 | no | — |
| 642 | C4⋊Q8 | — | 6 | 1 | no | — |
| 643 | C4⋊Q8 | — | 6 | 1 | no | — |
| 644 | C4⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 645 | #127 | — | 2 | 1 | no | — |
| 646 | #127 | — | 3 | 1 | no | — |
| 647 | #127 | — | 6 | 1 | no | — |
| 648 | #127 | C22×D3 | 1 | 1 | yes | characteristic |
| 649 | #126 | — | 6 | 2 | no | — |
| 650 | #126 | — | 6 | 2 | no | — |
| 651 | #125 | — | 2 | 1 | no | — |
| 652 | #125 | — | 6 | 1 | no | — |
| 653 | #124 | — | 3 | 2 | no | — |
| 654 | #124 | — | 3 | 2 | no | — |
| 655 | #124 | — | 6 | 2 | no | — |
| 656 | #124 | — | 6 | 2 | no | — |
| 657 | #124 | — | 6 | 2 | no | — |
| 658 | #124 | — | 6 | 2 | no | — |
| 659 | #124 | — | 6 | 2 | no | — |
| 660 | #123 | — | 6 | 2 | no | — |
| 661 | #123 | — | 6 | 2 | no | — |
| 662 | C22⋊Q8 | — | 2 | 2 | no | — |
| 663 | C22⋊Q8 | — | 3 | 2 | no | — |
| 664 | C22⋊Q8 | — | 3 | 2 | no | — |
| 665 | C22⋊Q8 | — | 3 | 2 | no | — |
| 666 | C22⋊Q8 | — | 6 | 2 | no | — |
| 667 | C22⋊Q8 | — | 6 | 2 | no | — |
| 668 | C22⋊Q8 | — | 6 | 2 | no | — |
| 669 | C22⋊Q8 | — | 6 | 2 | no | — |
| 670 | C22⋊Q8 | — | 6 | 2 | no | — |
| 671 | C22⋊Q8 | — | 6 | 2 | no | — |
| 672 | C22⋊Q8 | — | 6 | 2 | no | — |
| 673 | C22⋊Q8 | — | 6 | 2 | no | — |
| 674 | C22⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 675 | #121 | — | 2 | 2 | no | — |
| 676 | #121 | — | 3 | 1 | no | — |
| 677 | #121 | — | 3 | 1 | no | — |
| 678 | #121 | — | 3 | 2 | no | — |
| 679 | #121 | — | 3 | 2 | no | — |
| 680 | #121 | — | 3 | 2 | no | — |
| 681 | #121 | — | 3 | 2 | no | — |
| 682 | #121 | — | 6 | 2 | no | — |
| 683 | #121 | — | 6 | 2 | no | — |
| 684 | #121 | — | 6 | 2 | no | — |
| 685 | #121 | — | 6 | 2 | no | — |
| 686 | #121 | — | 6 | 1 | no | — |
| 687 | #121 | — | 6 | 2 | no | — |
| 688 | #121 | — | 6 | 1 | no | — |
| 689 | #121 | — | 6 | 1 | no | — |
| 690 | #121 | — | 6 | 2 | no | — |
| 691 | #121 | — | 6 | 2 | no | — |
| 692 | #121 | — | 6 | 2 | no | — |
| 693 | #121 | — | 6 | 2 | no | — |
| 694 | #121 | — | 6 | 1 | no | — |
| 695 | #121 | C22×D3 | 1 | 2 | yes | — |
| 696 | C4×Q8 | — | 3 | 1 | no | — |
| 697 | C4×Q8 | — | 3 | 1 | no | — |
| 698 | C4×Q8 | — | 3 | 1 | no | — |
| 699 | C4×Q8 | — | 3 | 1 | no | — |
| 700 | C4×Q8 | — | 6 | 1 | no | — |
| 701 | C4×Q8 | — | 6 | 1 | no | — |
| 702 | C4×Q8 | — | 6 | 2 | no | — |
| 703 | C4×Q8 | — | 6 | 2 | no | — |
| 704 | C4×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 705 | C4×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 706 | C4×D4 | — | 2 | 1 | no | — |
| 707 | C4×D4 | — | 2 | 1 | no | — |
| 708 | C4×D4 | — | 3 | 2 | no | — |
| 709 | C4×D4 | — | 3 | 1 | no | — |
| 710 | C4×D4 | — | 3 | 1 | no | — |
| 711 | C4×D4 | — | 3 | 1 | no | — |
| 712 | C4×D4 | — | 6 | 1 | no | — |
| 713 | C4×D4 | — | 6 | 1 | no | — |
| 714 | C4×D4 | — | 6 | 1 | no | — |
| 715 | C4×D4 | — | 6 | 1 | no | — |
| 716 | C4×D4 | — | 6 | 1 | no | — |
| 717 | C4×D4 | — | 6 | 2 | no | — |
| 718 | C4×D4 | — | 6 | 2 | no | — |
| 719 | C4×D4 | — | 6 | 1 | no | — |
| 720 | C4×D4 | — | 6 | 2 | no | — |
| 721 | C4×D4 | — | 6 | 1 | no | — |
| 722 | C4×D4 | — | 6 | 2 | no | — |
| 723 | C4×D4 | — | 6 | 2 | no | — |
| 724 | C4×D4 | — | 6 | 1 | no | — |
| 725 | C4×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 726 | #117 | — | 3 | 2 | no | — |
| 727 | #117 | — | 3 | 1 | no | — |
| 728 | #117 | — | 3 | 2 | no | — |
| 729 | #117 | — | 6 | 1 | no | — |
| 730 | #117 | — | 6 | 1 | no | — |
| 731 | #117 | — | 6 | 1 | no | — |
| 732 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 733 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 734 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 735 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 736 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 737 | C2×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 738 | C2×C42 | — | 3 | 1 | no | — |
| 739 | C2×C42 | — | 6 | 1 | no | — |
| 740 | C2×C42 | — | 6 | 1 | no | — |
| 741 | #107 | — | 3 | 2 | no | — |
| 742 | #107 | — | 3 | 2 | no | — |
| 743 | #107 | — | 3 | 2 | no | — |
| 744 | #107 | — | 3 | 1 | no | — |
| 745 | #107 | C22×D3 | 1 | 2 | yes | — |
| 746 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 747 | #106 | — | 3 | 1 | no | — |
| 748 | #106 | — | 3 | 1 | no | — |
| 749 | C4⋊C8 | — | 3 | 2 | no | — |
| 750 | C4⋊C8 | — | 3 | 1 | no | — |
| 751 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 752 | #103 | — | 3 | 2 | no | — |
| 753 | #103 | — | 3 | 1 | no | — |
| 754 | #103 | — | 3 | 1 | no | — |
| 755 | #103 | — | 3 | 2 | no | — |
| 756 | #103 | — | 3 | 2 | no | — |
| 757 | #103 | — | 3 | 1 | no | — |
| 758 | #103 | — | 3 | 2 | no | — |
| 759 | #103 | — | 3 | 2 | no | — |
| 760 | #103 | — | 3 | 2 | no | — |
| 761 | #103 | — | 3 | 2 | no | — |
| 762 | #103 | — | 3 | 1 | no | — |
| 763 | #103 | — | 3 | 2 | no | — |
| 764 | #103 | — | 3 | 2 | no | — |
| 765 | #103 | C22×D3 | 1 | 1 | yes | characteristic |
| 766 | #103 | C22×D3 | 1 | 2 | yes | — |
| 767 | #103 | C22×D3 | 1 | 1 | yes | characteristic |
| 768 | #102 | — | 3 | 2 | no | — |
| 769 | #102 | — | 3 | 2 | no | — |
| 770 | #102 | — | 3 | 2 | no | — |
| 771 | #102 | — | 3 | 1 | no | — |
| 772 | #102 | — | 3 | 1 | no | — |
| 773 | #102 | C22×D3 | 1 | 2 | yes | — |
| 774 | #102 | C22×D3 | 1 | 2 | yes | — |
| 775 | #102 | C22×D3 | 1 | 2 | yes | — |
| 776 | C22⋊C8 | — | 3 | 2 | no | — |
| 777 | C22⋊C8 | — | 3 | 2 | no | — |
| 778 | C22⋊C8 | — | 3 | 2 | no | — |
| 779 | C22⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 780 | #97 | — | 3 | 1 | no | — |
| 781 | #97 | — | 3 | 1 | no | — |
| 782 | C4×C8 | — | 3 | 1 | no | — |
| 783 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 784 | C23×C3 | — | 2 | 2 | no | — |
| 785 | C23×C3 | C22×D4 | 1 | 2 | yes | — |
| 786 | C22×D3 | — | 2 | 1 | no | — |
| 787 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 788 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 789 | C3×Q8 | — | 2 | 1 | no | — |
| 790 | C3×Q8 | — | 2 | 1 | no | — |
| 791 | C3×Q8 | — | 2 | 1 | no | — |
| 792 | C3×Q8 | — | 8 | 1 | no | — |
| 793 | C3×Q8 | C2×#41 | 1 | 2 | yes | — |
| 794 | C3×D4 | — | 2 | 2 | no | — |
| 795 | C3×D4 | — | 2 | 2 | no | — |
| 796 | C3×D4 | — | 2 | 2 | no | — |
| 797 | C3×D4 | — | 4 | 4 | no | — |
| 798 | C3×D4 | — | 4 | 2 | no | — |
| 799 | C3×D4 | — | 8 | 1 | no | — |
| 800 | C3×D4 | — | 8 | 2 | no | — |
| 801 | C2×C3×C4 | — | 2 | 1 | no | — |
| 802 | C2×C3×C4 | — | 2 | 2 | no | — |
| 803 | C2×C3×C4 | — | 2 | 2 | no | — |
| 804 | C2×C3×C4 | — | 2 | 1 | no | — |
| 805 | C2×C3×C4 | — | 2 | 1 | no | — |
| 806 | C2×C3×C4 | — | 2 | 1 | no | — |
| 807 | C2×C3×C4 | — | 2 | 2 | no | — |
| 808 | C2×C3×C4 | — | 4 | 4 | no | — |
| 809 | C2×C3×C4 | — | 8 | 2 | no | — |
| 810 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 811 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 812 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 813 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 814 | #67 | — | 2 | 4 | no | — |
| 815 | #67 | — | 2 | 4 | no | — |
| 816 | #67 | — | 4 | 2 | no | — |
| 817 | #67 | — | 4 | 4 | no | — |
| 818 | #67 | — | 4 | 4 | no | — |
| 819 | #67 | — | 8 | 2 | no | — |
| 820 | #67 | — | 8 | 2 | no | — |
| 821 | C2×Dic3 | — | 2 | 1 | no | — |
| 822 | C2×Dic3 | — | 2 | 1 | no | — |
| 823 | C2×Dic3 | — | 2 | 1 | no | — |
| 824 | C2×Dic3 | — | 2 | 2 | no | — |
| 825 | C2×Dic3 | — | 2 | 2 | no | — |
| 826 | C2×Dic3 | — | 4 | 4 | no | — |
| 827 | C2×Dic3 | — | 4 | 4 | no | — |
| 828 | C2×Dic3 | — | 4 | 4 | no | — |
| 829 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 830 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 831 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 832 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 833 | D12 | — | 2 | 4 | no | — |
| 834 | D12 | — | 2 | 2 | no | — |
| 835 | D12 | — | 2 | 1 | no | — |
| 836 | D12 | — | 2 | 1 | no | — |
| 837 | D12 | — | 4 | 2 | no | — |
| 838 | D12 | — | 8 | 2 | no | — |
| 839 | C4×D3 | — | 2 | 4 | no | — |
| 840 | C4×D3 | — | 2 | 2 | no | — |
| 841 | C4×D3 | — | 2 | 2 | no | — |
| 842 | C4×D3 | — | 2 | 2 | no | — |
| 843 | C4×D3 | — | 4 | 1 | no | — |
| 844 | C4×D3 | — | 4 | 2 | no | — |
| 845 | C4×D3 | — | 4 | 4 | no | — |
| 846 | C4×D3 | — | 4 | 2 | no | — |
| 847 | C4×D3 | — | 4 | 2 | no | — |
| 848 | C4×D3 | — | 8 | 1 | no | — |
| 849 | C4×D3 | — | 8 | 2 | no | — |
| 850 | C4×D3 | — | 8 | 2 | no | — |
| 851 | C4×D3 | C2×#41 | 1 | 2 | yes | — |
| 852 | C4×D3 | H(5,𝔽2) | 1 | 2 | yes | — |
| 853 | Dic6 | — | 2 | 1 | no | — |
| 854 | Dic6 | — | 2 | 4 | no | — |
| 855 | Dic6 | — | 2 | 4 | no | — |
| 856 | Dic6 | — | 2 | 2 | no | — |
| 857 | Dic6 | — | 2 | 2 | no | — |
| 858 | Dic6 | — | 4 | 4 | no | — |
| 859 | Dic6 | — | 4 | 4 | no | — |
| 860 | Dic6 | — | 4 | 4 | no | — |
| 861 | Dic6 | — | 8 | 1 | no | — |
| 862 | Dic6 | C2×#41 | 1 | 2 | yes | — |
| 863 | C3×C8 | — | 2 | 1 | no | — |
| 864 | C3×C8 | — | 2 | 2 | no | — |
| 865 | C3×C8 | — | 2 | 1 | no | — |
| 866 | C3⋊C8 | — | 2 | 1 | no | — |
| 867 | C3⋊C8 | — | 2 | 2 | no | — |
| 868 | C3⋊C8 | — | 2 | 1 | no | — |
| 869 | #41 | — | 2 | 4 | no | — |
| 870 | #41 | — | 4 | 2 | no | — |
| 871 | #41 | — | 6 | 4 | no | — |
| 872 | #41 | — | 6 | 4 | no | — |
| 873 | #41 | — | 6 | 4 | no | — |
| 874 | #41 | — | 6 | 4 | no | — |
| 875 | #41 | — | 6 | 2 | no | — |
| 876 | #41 | — | 6 | 2 | no | — |
| 877 | #41 | — | 6 | 4 | no | — |
| 878 | #41 | — | 12 | 8 | no | — |
| 879 | #41 | — | 12 | 2 | no | — |
| 880 | #41 | — | 12 | 8 | no | — |
| 881 | #41 | — | 12 | 8 | no | — |
| 882 | #41 | — | 24 | 4 | no | — |
| 883 | C2×Q8 | — | 2 | 1 | no | — |
| 884 | C2×Q8 | — | 3 | 2 | no | — |
| 885 | C2×Q8 | — | 3 | 4 | no | — |
| 886 | C2×Q8 | — | 3 | 1 | no | — |
| 887 | C2×Q8 | — | 3 | 2 | no | — |
| 888 | C2×Q8 | — | 6 | 1 | no | — |
| 889 | C2×Q8 | — | 6 | 2 | no | — |
| 890 | C2×Q8 | — | 6 | 2 | no | — |
| 891 | C2×Q8 | — | 6 | 4 | no | — |
| 892 | C2×Q8 | — | 6 | 2 | no | — |
| 893 | C2×Q8 | — | 6 | 2 | no | — |
| 894 | C2×Q8 | — | 6 | 1 | no | — |
| 895 | C2×Q8 | — | 6 | 4 | no | — |
| 896 | C2×Q8 | — | 12 | 2 | no | — |
| 897 | C2×Q8 | — | 12 | 8 | no | — |
| 898 | C2×Q8 | — | 12 | 2 | no | — |
| 899 | C2×Q8 | — | 24 | 2 | no | — |
| 900 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 901 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 902 | C2×D4 | — | 2 | 2 | no | — |
| 903 | C2×D4 | — | 2 | 2 | no | — |
| 904 | C2×D4 | — | 2 | 1 | no | — |
| 905 | C2×D4 | — | 2 | 1 | no | — |
| 906 | C2×D4 | — | 3 | 2 | no | — |
| 907 | C2×D4 | — | 3 | 2 | no | — |
| 908 | C2×D4 | — | 3 | 2 | no | — |
| 909 | C2×D4 | — | 3 | 1 | no | — |
| 910 | C2×D4 | — | 3 | 2 | no | — |
| 911 | C2×D4 | — | 3 | 1 | no | — |
| 912 | C2×D4 | — | 6 | 1 | no | — |
| 913 | C2×D4 | — | 6 | 2 | no | — |
| 914 | C2×D4 | — | 6 | 2 | no | — |
| 915 | C2×D4 | — | 6 | 2 | no | — |
| 916 | C2×D4 | — | 6 | 2 | no | — |
| 917 | C2×D4 | — | 6 | 2 | no | — |
| 918 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 919 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 920 | C22×C4 | — | 2 | 2 | no | — |
| 921 | C22×C4 | — | 2 | 2 | no | — |
| 922 | C22×C4 | — | 3 | 1 | no | — |
| 923 | C22×C4 | — | 3 | 1 | no | — |
| 924 | C22×C4 | — | 3 | 2 | no | — |
| 925 | C22×C4 | — | 3 | 1 | no | — |
| 926 | C22×C4 | — | 6 | 1 | no | — |
| 927 | C22×C4 | — | 6 | 1 | no | — |
| 928 | C22×C4 | — | 6 | 1 | no | — |
| 929 | C22×C4 | — | 6 | 2 | no | — |
| 930 | C22×C4 | — | 6 | 1 | no | — |
| 931 | C22×C4 | — | 6 | 2 | no | — |
| 932 | C22×C4 | — | 6 | 2 | no | — |
| 933 | C22×C4 | — | 6 | 2 | no | — |
| 934 | C22×C4 | — | 6 | 2 | no | — |
| 935 | C22×C4 | — | 6 | 2 | no | — |
| 936 | C22×C4 | — | 6 | 1 | no | — |
| 937 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 938 | Q16 | — | 2 | 2 | no | — |
| 939 | Q16 | — | 6 | 2 | no | — |
| 940 | Q16 | — | 12 | 2 | no | — |
| 941 | SD16 | — | 4 | 2 | no | — |
| 942 | SD16 | — | 6 | 2 | no | — |
| 943 | SD16 | — | 6 | 2 | no | — |
| 944 | SD16 | — | 12 | 2 | no | — |
| 945 | D8 | — | 12 | 2 | no | — |
| 946 | M16 | — | 4 | 2 | no | — |
| 947 | M16 | — | 6 | 2 | no | — |
| 948 | M16 | — | 6 | 2 | no | — |
| 949 | M16 | — | 12 | 2 | no | — |
| 950 | C2×C8 | — | 3 | 1 | no | — |
| 951 | C2×C8 | — | 3 | 1 | no | — |
| 952 | C2×C8 | — | 3 | 2 | no | — |
| 953 | C2×C8 | — | 6 | 4 | no | — |
| 954 | C2×C8 | — | 12 | 2 | no | — |
| 955 | C2×C8 | — | 12 | 2 | no | — |
| 956 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 957 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 958 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 959 | C4⋊C4 | — | 2 | 1 | no | — |
| 960 | C4⋊C4 | — | 2 | 1 | no | — |
| 961 | C4⋊C4 | — | 2 | 2 | no | — |
| 962 | C4⋊C4 | — | 2 | 1 | no | — |
| 963 | C4⋊C4 | — | 2 | 2 | no | — |
| 964 | C4⋊C4 | — | 3 | 1 | no | — |
| 965 | C4⋊C4 | — | 3 | 2 | no | — |
| 966 | C4⋊C4 | — | 3 | 1 | no | — |
| 967 | C4⋊C4 | — | 3 | 2 | no | — |
| 968 | C4⋊C4 | — | 3 | 1 | no | — |
| 969 | C4⋊C4 | — | 6 | 2 | no | — |
| 970 | C4⋊C4 | — | 6 | 2 | no | — |
| 971 | C4⋊C4 | — | 6 | 1 | no | — |
| 972 | C4⋊C4 | — | 6 | 1 | no | — |
| 973 | C4⋊C4 | — | 6 | 1 | no | — |
| 974 | C4⋊C4 | — | 6 | 2 | no | — |
| 975 | C4⋊C4 | — | 6 | 1 | no | — |
| 976 | C4⋊C4 | — | 6 | 2 | no | — |
| 977 | C4⋊C4 | — | 6 | 2 | no | — |
| 978 | C4⋊C4 | — | 6 | 1 | no | — |
| 979 | C4⋊C4 | — | 6 | 1 | no | — |
| 980 | C4⋊C4 | — | 6 | 1 | no | — |
| 981 | C4⋊C4 | — | 6 | 2 | no | — |
| 982 | C4⋊C4 | — | 6 | 1 | no | — |
| 983 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 984 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 985 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 986 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 987 | C22⋊C4 | — | 2 | 2 | no | — |
| 988 | C22⋊C4 | — | 2 | 2 | no | — |
| 989 | C22⋊C4 | — | 3 | 2 | no | — |
| 990 | C22⋊C4 | — | 3 | 2 | no | — |
| 991 | C22⋊C4 | — | 3 | 2 | no | — |
| 992 | C22⋊C4 | — | 6 | 1 | no | — |
| 993 | C22⋊C4 | — | 6 | 2 | no | — |
| 994 | C22⋊C4 | — | 6 | 1 | no | — |
| 995 | C22⋊C4 | — | 6 | 2 | no | — |
| 996 | C22⋊C4 | — | 6 | 2 | no | — |
| 997 | C22⋊C4 | — | 6 | 2 | no | — |
| 998 | C22⋊C4 | — | 6 | 2 | no | — |
| 999 | C22⋊C4 | — | 6 | 2 | no | — |
| 1000 | C22⋊C4 | — | 6 | 2 | no | — |
| 1001 | C22⋊C4 | — | 6 | 2 | no | — |
| 1002 | C22⋊C4 | — | 6 | 2 | no | — |
| 1003 | C22⋊C4 | — | 6 | 1 | no | — |
| 1004 | C22⋊C4 | — | 6 | 2 | no | — |
| 1005 | C22⋊C4 | D3×D4 | 1 | 2 | yes | — |
| 1006 | C42 | — | 2 | 1 | no | — |
| 1007 | C42 | — | 2 | 1 | no | — |
| 1008 | C42 | — | 3 | 1 | no | — |
| 1009 | C42 | — | 3 | 1 | no | — |
| 1010 | C42 | — | 3 | 1 | no | — |
| 1011 | C42 | — | 6 | 1 | no | — |
| 1012 | C42 | — | 6 | 1 | no | — |
| 1013 | C42 | — | 6 | 1 | no | — |
| 1014 | C42 | — | 6 | 1 | no | — |
| 1015 | C42 | — | 6 | 2 | no | — |
| 1016 | C42 | — | 6 | 1 | no | — |
| 1017 | C42 | — | 6 | 2 | no | — |
| 1018 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 1019 | C22×C3 | — | 2 | 2 | no | — |
| 1020 | C22×C3 | — | 2 | 2 | no | — |
| 1021 | C22×C3 | — | 2 | 2 | no | — |
| 1022 | C22×C3 | — | 4 | 2 | no | — |
| 1023 | C22×C3 | — | 4 | 2 | no | — |
| 1024 | C22×C3 | — | 4 | 2 | no | — |
| 1025 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 1026 | C2×D3 | — | 2 | 1 | no | — |
| 1027 | C2×D3 | — | 2 | 1 | no | — |
| 1028 | C2×D3 | — | 2 | 2 | no | — |
| 1029 | C2×D3 | — | 2 | 2 | no | — |
| 1030 | C2×D3 | — | 2 | 2 | no | — |
| 1031 | C2×D3 | — | 4 | 1 | no | — |
| 1032 | C2×D3 | — | 4 | 1 | no | — |
| 1033 | C2×D3 | — | 4 | 1 | no | — |
| 1034 | C2×D3 | #546 | 1 | 2 | yes | — |
| 1035 | C3×C4 | — | 2 | 1 | no | — |
| 1036 | C3×C4 | — | 2 | 2 | no | — |
| 1037 | C3×C4 | — | 2 | 2 | no | — |
| 1038 | C3×C4 | — | 4 | 2 | no | — |
| 1039 | C3×C4 | — | 4 | 1 | no | — |
| 1040 | C3×C4 | — | 4 | 1 | no | — |
| 1041 | C3×C4 | — | 4 | 1 | no | — |
| 1042 | C3×C4 | #578 | 1 | 2 | yes | — |
| 1043 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 1044 | C3×C4 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1045 | Dic3 | — | 2 | 1 | no | — |
| 1046 | Dic3 | — | 2 | 2 | no | — |
| 1047 | Dic3 | — | 2 | 2 | no | — |
| 1048 | Dic3 | — | 2 | 1 | no | — |
| 1049 | Dic3 | — | 4 | 2 | no | — |
| 1050 | Dic3 | — | 4 | 1 | no | — |
| 1051 | Dic3 | — | 4 | 2 | no | — |
| 1052 | Dic3 | — | 4 | 1 | no | — |
| 1053 | Dic3 | #546 | 1 | 2 | yes | — |
| 1054 | C23 | — | 2 | 2 | no | — |
| 1055 | C23 | — | 3 | 1 | no | — |
| 1056 | C23 | — | 3 | 2 | no | — |
| 1057 | C23 | — | 6 | 1 | no | — |
| 1058 | C23 | C2×D3×D4 | 1 | 2 | yes | — |
| 1059 | Q8 | — | 2 | 1 | no | — |
| 1060 | Q8 | — | 2 | 1 | no | — |
| 1061 | Q8 | — | 2 | 1 | no | — |
| 1062 | Q8 | — | 3 | 2 | no | — |
| 1063 | Q8 | — | 6 | 4 | no | — |
| 1064 | Q8 | — | 6 | 4 | no | — |
| 1065 | Q8 | — | 6 | 1 | no | — |
| 1066 | Q8 | — | 6 | 2 | no | — |
| 1067 | Q8 | — | 6 | 2 | no | — |
| 1068 | Q8 | — | 8 | 1 | no | — |
| 1069 | Q8 | — | 12 | 4 | no | — |
| 1070 | Q8 | — | 12 | 4 | no | — |
| 1071 | Q8 | — | 12 | 4 | no | — |
| 1072 | Q8 | — | 24 | 1 | no | — |
| 1073 | Q8 | D3×#41 | 1 | 2 | yes | — |
| 1074 | D4 | — | 2 | 2 | no | — |
| 1075 | D4 | — | 2 | 2 | no | — |
| 1076 | D4 | — | 2 | 2 | no | — |
| 1077 | D4 | — | 4 | 4 | no | — |
| 1078 | D4 | — | 4 | 2 | no | — |
| 1079 | D4 | — | 6 | 4 | no | — |
| 1080 | D4 | — | 6 | 4 | no | — |
| 1081 | D4 | — | 6 | 4 | no | — |
| 1082 | D4 | — | 6 | 1 | no | — |
| 1083 | D4 | — | 6 | 1 | no | — |
| 1084 | D4 | — | 6 | 2 | no | — |
| 1085 | D4 | — | 8 | 1 | no | — |
| 1086 | D4 | — | 8 | 2 | no | — |
| 1087 | D4 | — | 12 | 2 | no | — |
| 1088 | D4 | — | 12 | 2 | no | — |
| 1089 | D4 | — | 12 | 4 | no | — |
| 1090 | D4 | — | 12 | 4 | no | — |
| 1091 | D4 | — | 24 | 2 | no | — |
| 1092 | D4 | — | 24 | 2 | no | — |
| 1093 | D4 | — | 24 | 2 | no | — |
| 1094 | C2×C4 | — | 2 | 1 | no | — |
| 1095 | C2×C4 | — | 2 | 2 | no | — |
| 1096 | C2×C4 | — | 2 | 2 | no | — |
| 1097 | C2×C4 | — | 2 | 1 | no | — |
| 1098 | C2×C4 | — | 2 | 1 | no | — |
| 1099 | C2×C4 | — | 2 | 1 | no | — |
| 1100 | C2×C4 | — | 2 | 2 | no | — |
| 1101 | C2×C4 | — | 3 | 1 | no | — |
| 1102 | C2×C4 | — | 3 | 2 | no | — |
| 1103 | C2×C4 | — | 3 | 2 | no | — |
| 1104 | C2×C4 | — | 3 | 1 | no | — |
| 1105 | C2×C4 | — | 3 | 1 | no | — |
| 1106 | C2×C4 | — | 3 | 2 | no | — |
| 1107 | C2×C4 | — | 4 | 4 | no | — |
| 1108 | C2×C4 | — | 6 | 4 | no | — |
| 1109 | C2×C4 | — | 6 | 1 | no | — |
| 1110 | C2×C4 | — | 6 | 2 | no | — |
| 1111 | C2×C4 | — | 6 | 2 | no | — |
| 1112 | C2×C4 | — | 6 | 2 | no | — |
| 1113 | C2×C4 | — | 6 | 1 | no | — |
| 1114 | C2×C4 | — | 6 | 1 | no | — |
| 1115 | C2×C4 | — | 6 | 2 | no | — |
| 1116 | C2×C4 | — | 6 | 2 | no | — |
| 1117 | C2×C4 | — | 8 | 2 | no | — |
| 1118 | C2×C4 | — | 12 | 1 | no | — |
| 1119 | C2×C4 | — | 12 | 4 | no | — |
| 1120 | C2×C4 | — | 12 | 2 | no | — |
| 1121 | C2×C4 | — | 12 | 4 | no | — |
| 1122 | C2×C4 | — | 12 | 2 | no | — |
| 1123 | C2×C4 | — | 12 | 4 | no | — |
| 1124 | C2×C4 | — | 12 | 4 | no | — |
| 1125 | C2×C4 | — | 12 | 2 | no | — |
| 1126 | C2×C4 | — | 24 | 2 | no | — |
| 1127 | C2×C4 | — | 24 | 2 | no | — |
| 1128 | C2×C4 | — | 24 | 1 | no | — |
| 1129 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1130 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 1131 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1132 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1133 | C8 | — | 2 | 1 | no | — |
| 1134 | C8 | — | 2 | 2 | no | — |
| 1135 | C8 | — | 2 | 1 | no | — |
| 1136 | C8 | — | 6 | 1 | no | — |
| 1137 | C8 | — | 6 | 2 | no | — |
| 1138 | C8 | — | 6 | 1 | no | — |
| 1139 | C2×C3 | — | 4 | 2 | no | — |
| 1140 | C2×C3 | — | 8 | 2 | no | — |
| 1141 | C2×C3 | C2×#546 | 1 | 1 | yes | characteristic |
| 1142 | C2×C3 | C2×#578 | 1 | 1 | yes | characteristic |
| 1143 | C2×C3 | #3585 | 1 | 1 | yes | characteristic |
| 1144 | D3 | — | 2 | 2 | no | — |
| 1145 | D3 | — | 4 | 2 | no | — |
| 1146 | D3 | — | 8 | 1 | no | — |
| 1147 | C22 | — | 2 | 2 | no | — |
| 1148 | C22 | — | 2 | 2 | no | — |
| 1149 | C22 | — | 2 | 2 | no | — |
| 1150 | C22 | — | 3 | 2 | no | — |
| 1151 | C22 | — | 4 | 2 | no | — |
| 1152 | C22 | — | 4 | 2 | no | — |
| 1153 | C22 | — | 4 | 2 | no | — |
| 1154 | C22 | — | 6 | 1 | no | — |
| 1155 | C22 | — | 6 | 1 | no | — |
| 1156 | C22 | — | 6 | 2 | no | — |
| 1157 | C22 | — | 6 | 2 | no | — |
| 1158 | C22 | — | 6 | 2 | no | — |
| 1159 | C22 | — | 12 | 1 | no | — |
| 1160 | C22 | — | 12 | 1 | no | — |
| 1161 | C22 | — | 12 | 1 | no | — |
| 1162 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1163 | C4 | — | 2 | 2 | no | — |
| 1164 | C4 | — | 2 | 2 | no | — |
| 1165 | C4 | — | 2 | 1 | no | — |
| 1166 | C4 | — | 3 | 2 | no | — |
| 1167 | C4 | — | 4 | 1 | no | — |
| 1168 | C4 | — | 4 | 1 | no | — |
| 1169 | C4 | — | 4 | 2 | no | — |
| 1170 | C4 | — | 4 | 1 | no | — |
| 1171 | C4 | — | 6 | 2 | no | — |
| 1172 | C4 | — | 6 | 2 | no | — |
| 1173 | C4 | — | 6 | 1 | no | — |
| 1174 | C4 | — | 6 | 1 | no | — |
| 1175 | C4 | — | 12 | 2 | no | — |
| 1176 | C4 | — | 12 | 1 | no | — |
| 1177 | C4 | — | 12 | 2 | no | — |
| 1178 | C4 | — | 12 | 1 | no | — |
| 1179 | C4 | #5779 | 1 | 2 | yes | — |
| 1180 | C4 | C2×D3×#41 | 1 | 1 | yes | characteristic |
| 1181 | C4 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1182 | C3 | #61203 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1183 | C2 | — | 4 | 2 | no | — |
| 1184 | C2 | — | 6 | 2 | no | — |
| 1185 | C2 | — | 8 | 2 | no | — |
| 1186 | C2 | — | 12 | 2 | no | — |
| 1187 | C2 | — | 24 | 1 | no | — |
| 1188 | C2 | D3×#546 | 1 | 1 | yes | characteristic |
| 1189 | C2 | C2×#5779 | 1 | 1 | yes | characteristic |
| 1190 | C2 | #87204 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86928 | C2 | semidirect |
| 2. #86784 | C2 | semidirect |
| 3. C3×#3333 | C2 | semidirect |
| 4. #83640 | C2 | semidirect |
| 5. #83571 | C2 | semidirect |
| 6. #81579 | C2 | semidirect |
| 7. #81565 | C2 | semidirect |
| 8. #81306 | C2 | semidirect |
| 9. #81285 | C2 | semidirect |
| 10. #81123 | C2 | semidirect |
| 11. D3×#477 | C2 | semidirect |
| 12. #80822 | C2 | semidirect |
| 13. #80808 | C2 | semidirect |
| 14. #80400 | C2 | semidirect |
| 15. #80382 | C2 | semidirect |
| 16. #80251 | C2 | semidirect |
| 17. #80232 | C2 | semidirect |
| 18. #79735 | C2 | semidirect |
| 19. C4×#918 | C2 | semidirect |
| 20. #79564 | C2 | semidirect |
| 21. #79541 | C2 | semidirect |
| 22. #78896 | C2 | semidirect |
| 23. #78883 | C2 | semidirect |
| 139. #3333 | D3 | semidirect |
| 482. D3×Q8 | #41 | semidirect |
| 1182. C3 | #61203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86928 | 2 |
| #86784 | 2 |
| C3×#3333 | 2 |
| #83640 | 2 |
| #83571 | 2 |
| #81579 | 2 |
| #81565 | 2 |
| #81306 | 2 |
| #81285 | 2 |
| #81123 | 2 |
| D3×#477 | 2 |
| #80822 | 2 |
| #80808 | 2 |
| #80400 | 2 |
| #80382 | 2 |
| #80251 | 2 |
| #80232 | 2 |
| #79735 | 2 |
| C4×#918 | 2 |
| #79564 | 2 |
| #79541 | 2 |
| #78896 | 2 |
| #78883 | 2 |
| #61203 | 3 |