Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1750 conjugacy classes of subgroups.
The subgroup lattice has 1032 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86103 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #85767 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×#478 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83021 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #82310 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #81197 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #81188 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #81182 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81179 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #81171 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #81158 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #81154 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #81144 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79159 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #79124 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #79027 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #79016 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #78761 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | #78760 | C2 | 1 | 2 | yes | maximal, complemented |
| 20 | #62166 | — | 3 | 1 | no | maximal, Sylow |
| 21 | C2×C3×#125 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×C4×D4 | C22 | 1 | 1 | yes | characteristic |
| 23 | #5806 | C22 | 1 | 2 | yes | — |
| 24 | #5791 | — | 2 | 1 | no | — |
| 25 | C2×#924 | — | 2 | 1 | no | — |
| 26 | #5700 | — | 2 | 1 | no | — |
| 27 | #5699 | — | 2 | 1 | no | — |
| 28 | #5697 | C22 | 1 | 2 | yes | complemented |
| 29 | #5695 | C22 | 1 | 2 | yes | complemented |
| 30 | #5692 | — | 2 | 2 | no | — |
| 31 | #5690 | C22 | 1 | 2 | yes | complemented |
| 32 | #5689 | C22 | 1 | 2 | yes | complemented |
| 33 | #5564 | — | 2 | 2 | no | — |
| 34 | #5561 | C22 | 1 | 2 | yes | — |
| 35 | #5555 | C22 | 1 | 1 | yes | characteristic |
| 36 | #5552 | — | 2 | 1 | no | — |
| 37 | #5551 | C22 | 1 | 1 | yes | characteristic |
| 38 | #5546 | C22 | 1 | 2 | yes | — |
| 39 | #5542 | C22 | 1 | 1 | yes | characteristic |
| 40 | #5541 | — | 2 | 1 | no | — |
| 41 | D4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 42 | #5515 | — | 2 | 1 | no | — |
| 43 | #5514 | C22 | 1 | 2 | yes | — |
| 44 | #5511 | C22 | 1 | 2 | yes | — |
| 45 | #5510 | — | 2 | 1 | no | — |
| 46 | #5507 | — | 2 | 2 | no | — |
| 47 | #5507 | C22 | 1 | 2 | yes | — |
| 48 | #5495 | — | 2 | 2 | no | — |
| 49 | #5479 | C22 | 1 | 1 | yes | characteristic |
| 50 | #5477 | C22 | 1 | 1 | yes | characteristic |
| 51 | #5470 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×#478 | C22 | 1 | 2 | yes | — |
| 53 | C3×#478 | C22 | 1 | 2 | yes | — |
| 54 | C3×#478 | C22 | 1 | 2 | yes | — |
| 55 | C3×#478 | C22 | 1 | 2 | yes | — |
| 56 | C2×C3×#107 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×C3×#106 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×C3×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×C3×#102 | C22 | 1 | 1 | yes | characteristic |
| 60 | C2×C3×#102 | C22 | 1 | 1 | yes | characteristic |
| 61 | #5217 | C22 | 1 | 2 | yes | — |
| 62 | #5114 | C22 | 1 | 2 | yes | — |
| 63 | #5114 | C22 | 1 | 2 | yes | — |
| 64 | #5111 | C22 | 1 | 2 | yes | — |
| 65 | C8×#67 | C22 | 1 | 2 | yes | — |
| 66 | #5069 | C22 | 1 | 2 | yes | complemented |
| 67 | #5064 | C22 | 1 | 2 | yes | complemented |
| 68 | #5063 | C22 | 1 | 2 | yes | complemented |
| 69 | #5063 | C22 | 1 | 2 | yes | complemented |
| 70 | #5015 | C22 | 1 | 1 | yes | characteristic |
| 71 | #5015 | C22 | 1 | 1 | yes | characteristic |
| 72 | #5014 | C22 | 1 | 2 | yes | — |
| 73 | #5014 | C22 | 1 | 2 | yes | — |
| 74 | #5008 | C22 | 1 | 1 | yes | characteristic |
| 75 | #5008 | C22 | 1 | 1 | yes | characteristic |
| 76 | #4971 | C22 | 1 | 2 | yes | — |
| 77 | #4970 | C22 | 1 | 2 | yes | — |
| 78 | #4968 | C22 | 1 | 2 | yes | — |
| 79 | #4926 | C22 | 1 | 1 | yes | characteristic |
| 80 | #4890 | C22 | 1 | 2 | yes | complemented |
| 81 | #4889 | C22 | 1 | 2 | yes | complemented |
| 82 | #4888 | C22 | 1 | 2 | yes | complemented |
| 83 | #4886 | C22 | 1 | 2 | yes | complemented |
| 84 | #4882 | C22 | 1 | 2 | yes | complemented |
| 85 | #4881 | C22 | 1 | 2 | yes | complemented |
| 86 | #4877 | C22 | 1 | 2 | yes | complemented |
| 87 | #4876 | C22 | 1 | 2 | yes | complemented |
| 88 | #4870 | C22 | 1 | 2 | yes | complemented |
| 89 | #4864 | C22 | 1 | 2 | yes | complemented |
| 90 | #4863 | C22 | 1 | 2 | yes | complemented |
| 91 | #4862 | C22 | 1 | 2 | yes | complemented |
| 92 | D3×#106 | C22 | 1 | 2 | yes | complemented |
| 93 | #4855 | C22 | 1 | 2 | yes | complemented |
| 94 | #4854 | C22 | 1 | 2 | yes | complemented |
| 95 | #4852 | C22 | 1 | 2 | yes | complemented |
| 96 | #4851 | C22 | 1 | 2 | yes | complemented |
| 97 | #4848 | C22 | 1 | 2 | yes | complemented |
| 98 | #4842 | C22 | 1 | 2 | yes | complemented |
| 99 | #4841 | C22 | 1 | 2 | yes | complemented |
| 100 | #4840 | C22 | 1 | 2 | yes | complemented |
| 101 | #4839 | C22 | 1 | 2 | yes | complemented |
| 102 | #4836 | C22 | 1 | 2 | yes | complemented |
| 103 | #4828 | C22 | 1 | 2 | yes | complemented |
| 104 | #4787 | C22 | 1 | 2 | yes | — |
| 105 | #4787 | C22 | 1 | 2 | yes | — |
| 106 | #4785 | C22 | 1 | 2 | yes | — |
| 107 | #4782 | C22 | 1 | 2 | yes | — |
| 108 | #4781 | C22 | 1 | 2 | yes | — |
| 109 | #4781 | C22 | 1 | 2 | yes | — |
| 110 | #4779 | C22 | 1 | 2 | yes | — |
| 111 | #4777 | C22 | 1 | 2 | yes | — |
| 112 | #4775 | C22 | 1 | 2 | yes | — |
| 113 | #4772 | C22 | 1 | 2 | yes | — |
| 114 | #4771 | C22 | 1 | 2 | yes | — |
| 115 | #4768 | C22 | 1 | 2 | yes | — |
| 116 | #4765 | C22 | 1 | 2 | yes | — |
| 117 | #4763 | C22 | 1 | 2 | yes | — |
| 118 | #4761 | C22 | 1 | 2 | yes | — |
| 119 | #4756 | C22 | 1 | 2 | yes | — |
| 120 | #3559 | — | 3 | 1 | no | — |
| 121 | #3520 | — | 3 | 1 | no | — |
| 122 | #3384 | — | 3 | 2 | no | — |
| 123 | #3376 | — | 3 | 2 | no | — |
| 124 | #3346 | — | 3 | 2 | no | — |
| 125 | #3345 | — | 3 | 2 | no | — |
| 126 | #3335 | — | 3 | 2 | no | — |
| 127 | #3307 | — | 3 | 2 | no | — |
| 128 | #3306 | — | 3 | 2 | no | — |
| 129 | #3297 | — | 3 | 2 | no | — |
| 130 | #3257 | — | 3 | 2 | no | — |
| 131 | #3246 | — | 3 | 1 | no | — |
| 132 | #3244 | — | 3 | 2 | no | — |
| 133 | #3236 | — | 3 | 1 | no | — |
| 134 | #3119 | — | 3 | 2 | no | — |
| 135 | #3109 | — | 3 | 1 | no | — |
| 136 | #3084 | — | 3 | 2 | no | — |
| 137 | C2×#478 | D3 | 1 | 1 | yes | characteristic, complemented |
| 138 | #2992 | — | 3 | 1 | no | — |
| 139 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 140 | C23×C3×C4 | — | 2 | 1 | no | — |
| 141 | C2×#237 | C23 | 1 | 2 | yes | — |
| 142 | C2×#235 | — | 2 | 1 | no | — |
| 143 | C2×#235 | — | 2 | 2 | no | — |
| 144 | C2×#235 | — | 2 | 1 | no | — |
| 145 | C22×Dic6 | — | 2 | 1 | no | — |
| 146 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 147 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 148 | C3×#125 | — | 2 | 1 | no | — |
| 149 | C3×#125 | — | 2 | 1 | no | — |
| 150 | C3×#125 | C23 | 1 | 2 | yes | — |
| 151 | C3×#125 | C23 | 1 | 2 | yes | — |
| 152 | C3×C4×D4 | — | 2 | 1 | no | — |
| 153 | C3×C4×D4 | — | 2 | 1 | no | — |
| 154 | C3×C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 155 | C3×C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 156 | C3×C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 157 | C3×C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 158 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 159 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 160 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 161 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 162 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 163 | C2×C3×C22⋊C4 | — | 2 | 1 | no | — |
| 164 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 165 | #953 | — | 2 | 2 | no | — |
| 166 | C2×#217 | — | 2 | 2 | no | — |
| 167 | #939 | — | 2 | 2 | no | — |
| 168 | #938 | C23 | 1 | 2 | yes | — |
| 169 | #936 | C23 | 1 | 2 | yes | — |
| 170 | #935 | — | 2 | 2 | no | — |
| 171 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 172 | C2×#213 | C23 | 1 | 2 | yes | — |
| 173 | C2×#213 | C23 | 1 | 2 | yes | — |
| 174 | #930 | — | 2 | 1 | no | — |
| 175 | #930 | — | 2 | 2 | no | — |
| 176 | #930 | — | 2 | 1 | no | — |
| 177 | #930 | D4 | 1 | 1 | yes | characteristic |
| 178 | #930 | C23 | 1 | 2 | yes | — |
| 179 | #929 | — | 2 | 2 | no | — |
| 180 | #929 | — | 2 | 2 | no | — |
| 181 | #929 | D4 | 1 | 2 | yes | — |
| 182 | C4×#67 | — | 2 | 2 | no | — |
| 183 | C4×#67 | — | 2 | 2 | no | — |
| 184 | C4×#67 | — | 2 | 2 | no | — |
| 185 | C4×#67 | C23 | 1 | 2 | yes | — |
| 186 | #926 | — | 2 | 1 | no | — |
| 187 | #926 | — | 2 | 1 | no | — |
| 188 | C2×C4⋊Dic3 | — | 2 | 1 | no | — |
| 189 | #924 | — | 2 | 1 | no | — |
| 190 | #924 | — | 2 | 1 | no | — |
| 191 | #924 | — | 2 | 2 | no | — |
| 192 | #924 | — | 2 | 1 | no | — |
| 193 | #924 | — | 2 | 1 | no | — |
| 194 | #924 | — | 2 | 2 | no | — |
| 195 | #924 | D4 | 1 | 1 | yes | characteristic |
| 196 | #924 | C23 | 1 | 2 | yes | — |
| 197 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 198 | C2×#204 | C23 | 1 | 2 | yes | — |
| 199 | C2×#204 | C23 | 1 | 2 | yes | — |
| 200 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 201 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 202 | #898 | — | 2 | 2 | no | — |
| 203 | #898 | — | 2 | 2 | no | — |
| 204 | #897 | — | 2 | 2 | no | — |
| 205 | #897 | — | 2 | 2 | no | — |
| 206 | #897 | C23 | 1 | 2 | yes | — |
| 207 | #896 | — | 2 | 2 | no | — |
| 208 | #896 | — | 2 | 2 | no | — |
| 209 | #896 | — | 2 | 2 | no | — |
| 210 | #896 | — | 2 | 2 | no | — |
| 211 | #896 | — | 2 | 2 | no | — |
| 212 | #895 | — | 2 | 2 | no | — |
| 213 | #895 | — | 2 | 2 | no | — |
| 214 | #895 | — | 2 | 2 | no | — |
| 215 | #895 | C23 | 1 | 2 | yes | — |
| 216 | #895 | C23 | 1 | 2 | yes | — |
| 217 | #894 | — | 2 | 2 | no | — |
| 218 | #894 | — | 2 | 2 | no | — |
| 219 | #894 | — | 2 | 2 | no | — |
| 220 | #894 | — | 2 | 2 | no | — |
| 221 | #894 | — | 2 | 2 | no | — |
| 222 | #893 | — | 2 | 2 | no | — |
| 223 | #893 | C23 | 1 | 2 | yes | — |
| 224 | #893 | C23 | 1 | 2 | yes | — |
| 225 | #892 | C23 | 1 | 2 | yes | — |
| 226 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 227 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 228 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 229 | #890 | C23 | 1 | 2 | yes | — |
| 230 | #889 | — | 2 | 2 | no | — |
| 231 | #889 | — | 2 | 2 | no | — |
| 232 | #888 | — | 2 | 2 | no | — |
| 233 | #888 | C23 | 1 | 2 | yes | — |
| 234 | #888 | C23 | 1 | 2 | yes | — |
| 235 | #887 | C23 | 1 | 2 | yes | — |
| 236 | #886 | — | 2 | 2 | no | — |
| 237 | #885 | — | 2 | 2 | no | — |
| 238 | #883 | — | 2 | 2 | no | — |
| 239 | #67⋊C4 | — | 2 | 2 | no | — |
| 240 | #879 | — | 2 | 2 | no | — |
| 241 | #879 | — | 2 | 2 | no | — |
| 242 | #878 | — | 2 | 2 | no | — |
| 243 | #877 | — | 2 | 2 | no | — |
| 244 | #876 | D4 | 1 | 2 | yes | — |
| 245 | #875 | — | 2 | 1 | no | — |
| 246 | #875 | D4 | 1 | 1 | yes | characteristic |
| 247 | #874 | C23 | 1 | 1 | yes | characteristic |
| 248 | C4×D12 | — | 2 | 1 | no | — |
| 249 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 250 | C4×D12 | C23 | 1 | 2 | yes | — |
| 251 | #872 | C23 | 1 | 2 | yes | — |
| 252 | #870 | — | 2 | 1 | no | — |
| 253 | #870 | D4 | 1 | 1 | yes | characteristic |
| 254 | #869 | C23 | 1 | 1 | yes | characteristic |
| 255 | #869 | C23 | 1 | 1 | yes | characteristic |
| 256 | #869 | C23 | 1 | 1 | yes | characteristic |
| 257 | C4×Dic6 | — | 2 | 1 | no | — |
| 258 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 259 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 260 | C3×#107 | C23 | 1 | 2 | yes | — |
| 261 | C3×#107 | C23 | 1 | 2 | yes | — |
| 262 | C3×#106 | C23 | 1 | 2 | yes | — |
| 263 | C3×#106 | C23 | 1 | 2 | yes | — |
| 264 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 265 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 266 | C3×#102 | C23 | 1 | 2 | yes | — |
| 267 | C3×#102 | C23 | 1 | 2 | yes | — |
| 268 | C3×#102 | C23 | 1 | 2 | yes | — |
| 269 | C3×#102 | C23 | 1 | 2 | yes | — |
| 270 | #832 | C23 | 1 | 2 | yes | — |
| 271 | #832 | C23 | 1 | 2 | yes | — |
| 272 | #830 | C23 | 1 | 2 | yes | — |
| 273 | #821 | C23 | 1 | 2 | yes | — |
| 274 | #821 | C23 | 1 | 2 | yes | — |
| 275 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 276 | (C2×D3)⋊C8 | C23 | 1 | 2 | yes | — |
| 277 | #817 | C23 | 1 | 2 | yes | — |
| 278 | #817 | C23 | 1 | 2 | yes | — |
| 279 | #816 | C23 | 1 | 2 | yes | — |
| 280 | #816 | C23 | 1 | 2 | yes | — |
| 281 | #815 | C23 | 1 | 2 | yes | — |
| 282 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 283 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 284 | C8×Dic3 | C23 | 1 | 2 | yes | — |
| 285 | #810 | C23 | 1 | 2 | yes | — |
| 286 | #810 | C23 | 1 | 2 | yes | — |
| 287 | #810 | C23 | 1 | 2 | yes | — |
| 288 | #810 | C23 | 1 | 2 | yes | — |
| 289 | #809 | C23 | 1 | 2 | yes | — |
| 290 | #809 | C23 | 1 | 2 | yes | — |
| 291 | #808 | C23 | 1 | 2 | yes | — |
| 292 | #808 | C23 | 1 | 2 | yes | — |
| 293 | #808 | C23 | 1 | 2 | yes | — |
| 294 | #808 | C23 | 1 | 2 | yes | — |
| 295 | #807 | C23 | 1 | 2 | yes | — |
| 296 | #807 | C23 | 1 | 2 | yes | — |
| 297 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 298 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 299 | #803 | C23 | 1 | 2 | yes | — |
| 300 | #563 | — | 6 | 1 | no | — |
| 301 | #562 | — | 6 | 1 | no | — |
| 302 | #556 | — | 3 | 1 | no | — |
| 303 | #554 | — | 3 | 2 | no | — |
| 304 | #554 | — | 3 | 2 | no | — |
| 305 | #553 | — | 3 | 2 | no | — |
| 306 | #553 | — | 3 | 2 | no | — |
| 307 | #552 | — | 6 | 1 | no | — |
| 308 | #551 | — | 6 | 2 | no | — |
| 309 | D4×Q8 | — | 3 | 1 | no | — |
| 310 | #548 | — | 6 | 1 | no | — |
| 311 | #547 | — | 3 | 1 | no | — |
| 312 | #547 | — | 3 | 2 | no | — |
| 313 | #547 | — | 3 | 1 | no | — |
| 314 | #547 | — | 6 | 2 | no | — |
| 315 | #546 | — | 3 | 2 | no | — |
| 316 | #544 | — | 3 | 2 | no | — |
| 317 | #542 | — | 3 | 2 | no | — |
| 318 | #540 | — | 3 | 2 | no | — |
| 319 | #539 | — | 6 | 1 | no | — |
| 320 | #539 | — | 6 | 2 | no | — |
| 321 | #539 | — | 6 | 2 | no | — |
| 322 | #537 | — | 6 | 1 | no | — |
| 323 | #533 | — | 3 | 1 | no | — |
| 324 | #532 | — | 3 | 1 | no | — |
| 325 | #529 | — | 3 | 1 | no | — |
| 326 | C2×#125 | C2×D3 | 1 | 1 | yes | characteristic |
| 327 | #525 | — | 6 | 1 | no | — |
| 328 | C2×C22⋊Q8 | — | 6 | 1 | no | — |
| 329 | #520 | — | 3 | 2 | no | — |
| 330 | C2×C4×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 331 | #501 | — | 3 | 2 | no | — |
| 332 | #501 | — | 3 | 2 | no | — |
| 333 | #498 | — | 3 | 2 | no | — |
| 334 | #491 | — | 3 | 2 | no | — |
| 335 | #489 | — | 3 | 2 | no | — |
| 336 | #488 | — | 3 | 2 | no | — |
| 337 | #485 | — | 3 | 2 | no | — |
| 338 | #484 | — | 3 | 2 | no | — |
| 339 | #483 | — | 3 | 2 | no | — |
| 340 | #483 | — | 3 | 2 | no | — |
| 341 | #482 | — | 3 | 2 | no | — |
| 342 | #481 | — | 3 | 2 | no | — |
| 343 | #481 | — | 3 | 2 | no | — |
| 344 | #481 | — | 3 | 2 | no | — |
| 345 | #480 | — | 3 | 2 | no | — |
| 346 | #479 | — | 3 | 2 | no | — |
| 347 | #479 | — | 3 | 2 | no | — |
| 348 | #479 | — | 3 | 2 | no | — |
| 349 | #478 | — | 3 | 2 | no | — |
| 350 | #478 | C2×D3 | 1 | 2 | yes | — |
| 351 | #478 | C2×D3 | 1 | 2 | yes | — |
| 352 | #478 | C2×D3 | 1 | 2 | yes | — |
| 353 | #478 | C2×D3 | 1 | 2 | yes | — |
| 354 | #476 | — | 3 | 1 | no | — |
| 355 | #476 | — | 3 | 1 | no | — |
| 356 | #476 | — | 3 | 2 | no | — |
| 357 | #476 | — | 3 | 2 | no | — |
| 358 | #476 | — | 3 | 2 | no | — |
| 359 | #475 | — | 3 | 2 | no | — |
| 360 | #475 | — | 3 | 2 | no | — |
| 361 | #474 | — | 3 | 2 | no | — |
| 362 | #469 | — | 3 | 2 | no | — |
| 363 | #468 | — | 3 | 2 | no | — |
| 364 | #466 | — | 3 | 2 | no | — |
| 365 | #465 | — | 3 | 2 | no | — |
| 366 | #465 | — | 3 | 2 | no | — |
| 367 | #465 | — | 3 | 2 | no | — |
| 368 | #463 | — | 3 | 2 | no | — |
| 369 | #463 | — | 3 | 2 | no | — |
| 370 | #461 | — | 3 | 2 | no | — |
| 371 | #460 | — | 3 | 2 | no | — |
| 372 | #459 | — | 3 | 1 | no | — |
| 373 | #459 | — | 3 | 1 | no | — |
| 374 | #449 | — | 3 | 2 | no | — |
| 375 | #449 | — | 3 | 2 | no | — |
| 376 | #447 | — | 3 | 2 | no | — |
| 377 | #446 | — | 3 | 2 | no | — |
| 378 | #442 | — | 3 | 2 | no | — |
| 379 | #442 | — | 3 | 2 | no | — |
| 380 | #442 | — | 3 | 2 | no | — |
| 381 | #440 | — | 3 | 2 | no | — |
| 382 | C4×SD16 | — | 3 | 2 | no | — |
| 383 | C4×D8 | — | 3 | 2 | no | — |
| 384 | #435 | — | 3 | 2 | no | — |
| 385 | #435 | — | 3 | 2 | no | — |
| 386 | C8×D4 | — | 3 | 2 | no | — |
| 387 | #433 | — | 3 | 2 | no | — |
| 388 | #432 | — | 3 | 1 | no | — |
| 389 | #428 | — | 3 | 2 | no | — |
| 390 | C2×#107 | C2×D3 | 1 | 1 | yes | characteristic |
| 391 | C2×#106 | — | 3 | 2 | no | — |
| 392 | C2×#106 | C2×D3 | 1 | 1 | yes | characteristic |
| 393 | #424 | — | 3 | 2 | no | — |
| 394 | C2×C4⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 395 | #417 | — | 3 | 2 | no | — |
| 396 | #416 | — | 3 | 2 | no | — |
| 397 | C2×#102 | C2×D3 | 1 | 1 | yes | characteristic |
| 398 | C2×#102 | C2×D3 | 1 | 1 | yes | characteristic |
| 399 | C24×C3 | — | 2 | 1 | no | — |
| 400 | C2×C3×D4 | — | 2 | 2 | no | — |
| 401 | C2×C3×D4 | — | 2 | 1 | no | — |
| 402 | C2×C3×D4 | — | 4 | 1 | no | — |
| 403 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 404 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 405 | C22×C3×C4 | — | 2 | 1 | no | — |
| 406 | C22×C3×C4 | — | 2 | 1 | no | — |
| 407 | C22×C3×C4 | — | 2 | 1 | no | — |
| 408 | C22×C3×C4 | — | 2 | 1 | no | — |
| 409 | C22×C3×C4 | — | 2 | 1 | no | — |
| 410 | C22×C3×C4 | — | 2 | 1 | no | — |
| 411 | C22×C3×C4 | — | 2 | 1 | no | — |
| 412 | C22×C3×C4 | — | 8 | 2 | no | — |
| 413 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 414 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 415 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 416 | C2×#67 | — | 2 | 2 | no | — |
| 417 | C2×#67 | — | 2 | 2 | no | — |
| 418 | C2×#67 | — | 2 | 2 | no | — |
| 419 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 420 | C22×Dic3 | — | 2 | 2 | no | — |
| 421 | C22×Dic3 | — | 2 | 2 | no | — |
| 422 | #237 | — | 2 | 4 | no | — |
| 423 | #237 | — | 4 | 2 | no | — |
| 424 | #235 | — | 8 | 2 | no | — |
| 425 | #235 | — | 8 | 4 | no | — |
| 426 | #235 | — | 8 | 2 | no | — |
| 427 | C2×D12 | — | 2 | 2 | no | — |
| 428 | C2×D12 | — | 2 | 2 | no | — |
| 429 | C2×D12 | — | 2 | 1 | no | — |
| 430 | C2×D12 | — | 2 | 1 | no | — |
| 431 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 432 | C2×D12 | C24 | 1 | 2 | yes | — |
| 433 | C2×C4×D3 | — | 2 | 2 | no | — |
| 434 | C2×C4×D3 | — | 2 | 2 | no | — |
| 435 | C2×C4×D3 | — | 2 | 2 | no | — |
| 436 | C2×C4×D3 | — | 2 | 2 | no | — |
| 437 | C2×C4×D3 | — | 2 | 2 | no | — |
| 438 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 439 | C2×Dic6 | — | 2 | 1 | no | — |
| 440 | C2×Dic6 | — | 2 | 1 | no | — |
| 441 | C2×Dic6 | — | 2 | 2 | no | — |
| 442 | C2×Dic6 | — | 2 | 2 | no | — |
| 443 | C2×Dic6 | — | 8 | 2 | no | — |
| 444 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 445 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 446 | C2×C3×C8 | — | 4 | 1 | no | — |
| 447 | C2×C3×C8 | — | 4 | 1 | no | — |
| 448 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 449 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 450 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 451 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 452 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 453 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 454 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 455 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 456 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 457 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 458 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 459 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 460 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 461 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 462 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 463 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 464 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 465 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 466 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 467 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 468 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 469 | #217 | — | 2 | 2 | no | — |
| 470 | #217 | — | 2 | 2 | no | — |
| 471 | #217 | — | 2 | 2 | no | — |
| 472 | #217 | — | 2 | 2 | no | — |
| 473 | #217 | — | 2 | 2 | no | — |
| 474 | #217 | C2×D4 | 1 | 2 | yes | — |
| 475 | #213 | — | 2 | 4 | no | — |
| 476 | #213 | — | 4 | 2 | no | — |
| 477 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 478 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 479 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 480 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 481 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 482 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 483 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 484 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 485 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 486 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 487 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 488 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 489 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 490 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 491 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 492 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 493 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 494 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 495 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 496 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 497 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 498 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 499 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 500 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 501 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 502 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 503 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 504 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 505 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 506 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 507 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 508 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 509 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 510 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 511 | C4×Dic3 | — | 2 | 2 | no | — |
| 512 | C4×Dic3 | — | 2 | 2 | no | — |
| 513 | C4×Dic3 | — | 2 | 2 | no | — |
| 514 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 515 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 516 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 517 | #204 | — | 4 | 2 | no | — |
| 518 | #204 | — | 4 | 2 | no | — |
| 519 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 520 | D3×C8 | — | 4 | 2 | no | — |
| 521 | C2×#41 | — | 3 | 2 | no | — |
| 522 | C2×#41 | — | 6 | 1 | no | — |
| 523 | C2×#41 | — | 6 | 2 | no | — |
| 524 | C2×#41 | — | 6 | 1 | no | — |
| 525 | C22×Q8 | — | 6 | 1 | no | — |
| 526 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 527 | C23×C4 | — | 2 | 1 | no | — |
| 528 | C2×SD16 | — | 3 | 2 | no | — |
| 529 | C2×SD16 | — | 3 | 2 | no | — |
| 530 | C2×D8 | — | 3 | 2 | no | — |
| 531 | C2×D8 | — | 3 | 2 | no | — |
| 532 | C2×M16 | — | 3 | 2 | no | — |
| 533 | C22×C8 | — | 3 | 2 | no | — |
| 534 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 535 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 536 | C4⋊Q8 | — | 3 | 2 | no | — |
| 537 | C4⋊Q8 | — | 3 | 2 | no | — |
| 538 | C4⋊Q8 | — | 3 | 1 | no | — |
| 539 | C4⋊Q8 | — | 3 | 1 | no | — |
| 540 | C4⋊Q8 | — | 3 | 1 | no | — |
| 541 | C4⋊Q8 | — | 6 | 2 | no | — |
| 542 | #127 | — | 3 | 1 | no | — |
| 543 | #126 | — | 3 | 2 | no | — |
| 544 | #126 | — | 6 | 2 | no | — |
| 545 | #126 | — | 6 | 2 | no | — |
| 546 | #126 | — | 6 | 2 | no | — |
| 547 | #126 | — | 6 | 2 | no | — |
| 548 | #125 | — | 2 | 1 | no | — |
| 549 | #125 | — | 2 | 1 | no | — |
| 550 | #125 | — | 3 | 2 | no | — |
| 551 | #125 | — | 3 | 1 | no | — |
| 552 | #125 | — | 6 | 2 | no | — |
| 553 | #125 | — | 6 | 2 | no | — |
| 554 | #125 | — | 6 | 1 | no | — |
| 555 | #125 | C22×D3 | 1 | 2 | yes | — |
| 556 | #125 | C22×D3 | 1 | 2 | yes | — |
| 557 | #124 | — | 3 | 2 | no | — |
| 558 | #124 | — | 3 | 1 | no | — |
| 559 | #124 | — | 6 | 2 | no | — |
| 560 | #124 | — | 6 | 1 | no | — |
| 561 | #123 | — | 3 | 2 | no | — |
| 562 | #123 | — | 6 | 2 | no | — |
| 563 | #123 | — | 6 | 2 | no | — |
| 564 | #123 | — | 6 | 2 | no | — |
| 565 | #123 | — | 6 | 2 | no | — |
| 566 | #123 | — | 6 | 2 | no | — |
| 567 | #123 | — | 6 | 2 | no | — |
| 568 | #123 | — | 6 | 2 | no | — |
| 569 | #123 | — | 6 | 2 | no | — |
| 570 | #123 | — | 6 | 2 | no | — |
| 571 | #123 | — | 6 | 2 | no | — |
| 572 | C22⋊Q8 | — | 3 | 1 | no | — |
| 573 | C22⋊Q8 | — | 3 | 2 | no | — |
| 574 | C22⋊Q8 | — | 3 | 2 | no | — |
| 575 | C22⋊Q8 | — | 6 | 2 | no | — |
| 576 | C22⋊Q8 | — | 6 | 2 | no | — |
| 577 | C22⋊Q8 | — | 6 | 2 | no | — |
| 578 | C22⋊Q8 | — | 6 | 2 | no | — |
| 579 | C22⋊Q8 | — | 6 | 2 | no | — |
| 580 | C22⋊Q8 | — | 6 | 2 | no | — |
| 581 | C22⋊Q8 | — | 6 | 2 | no | — |
| 582 | C22⋊Q8 | — | 6 | 2 | no | — |
| 583 | C22⋊Q8 | — | 6 | 2 | no | — |
| 584 | C22⋊Q8 | — | 6 | 2 | no | — |
| 585 | C22⋊Q8 | — | 6 | 1 | no | — |
| 586 | C22⋊Q8 | — | 6 | 1 | no | — |
| 587 | C22⋊Q8 | — | 6 | 1 | no | — |
| 588 | C22⋊Q8 | — | 6 | 1 | no | — |
| 589 | #121 | — | 3 | 1 | no | — |
| 590 | #121 | — | 3 | 2 | no | — |
| 591 | #121 | — | 3 | 2 | no | — |
| 592 | #121 | — | 3 | 2 | no | — |
| 593 | #121 | — | 3 | 2 | no | — |
| 594 | #121 | — | 6 | 2 | no | — |
| 595 | #121 | — | 6 | 2 | no | — |
| 596 | #121 | — | 6 | 2 | no | — |
| 597 | #121 | — | 6 | 2 | no | — |
| 598 | #121 | — | 6 | 1 | no | — |
| 599 | #121 | — | 6 | 2 | no | — |
| 600 | #121 | — | 6 | 1 | no | — |
| 601 | #120 | — | 6 | 2 | no | — |
| 602 | C4×Q8 | — | 3 | 1 | no | — |
| 603 | C4×Q8 | — | 3 | 2 | no | — |
| 604 | C4×Q8 | — | 3 | 2 | no | — |
| 605 | C4×Q8 | — | 6 | 1 | no | — |
| 606 | C4×D4 | — | 2 | 1 | no | — |
| 607 | C4×D4 | — | 2 | 1 | no | — |
| 608 | C4×D4 | — | 3 | 2 | no | — |
| 609 | C4×D4 | — | 3 | 2 | no | — |
| 610 | C4×D4 | — | 3 | 2 | no | — |
| 611 | C4×D4 | — | 3 | 2 | no | — |
| 612 | C4×D4 | — | 3 | 1 | no | — |
| 613 | C4×D4 | — | 3 | 2 | no | — |
| 614 | C4×D4 | — | 6 | 2 | no | — |
| 615 | C4×D4 | — | 6 | 2 | no | — |
| 616 | C4×D4 | — | 6 | 2 | no | — |
| 617 | C4×D4 | — | 6 | 2 | no | — |
| 618 | C4×D4 | — | 6 | 2 | no | — |
| 619 | C4×D4 | — | 6 | 1 | no | — |
| 620 | C4×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 621 | C4×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 622 | C4×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 623 | C4×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 624 | #117 | — | 3 | 2 | no | — |
| 625 | #117 | — | 3 | 2 | no | — |
| 626 | #117 | — | 6 | 2 | no | — |
| 627 | #117 | — | 6 | 1 | no | — |
| 628 | #117 | — | 6 | 1 | no | — |
| 629 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 630 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 631 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 632 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 633 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 634 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 635 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 636 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 637 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 638 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 639 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 640 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 641 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 642 | #107 | — | 3 | 2 | no | — |
| 643 | #107 | — | 3 | 2 | no | — |
| 644 | #107 | C22×D3 | 1 | 2 | yes | — |
| 645 | #107 | C22×D3 | 1 | 2 | yes | — |
| 646 | #106 | — | 3 | 2 | no | — |
| 647 | #106 | — | 3 | 2 | no | — |
| 648 | #106 | — | 3 | 2 | no | — |
| 649 | #106 | — | 3 | 2 | no | — |
| 650 | #106 | — | 3 | 2 | no | — |
| 651 | #106 | — | 3 | 2 | no | — |
| 652 | #106 | C22×D3 | 1 | 2 | yes | — |
| 653 | #106 | C22×D3 | 1 | 2 | yes | — |
| 654 | C4⋊C8 | — | 3 | 2 | no | — |
| 655 | C4⋊C8 | — | 3 | 2 | no | — |
| 656 | C4⋊C8 | — | 3 | 1 | no | — |
| 657 | C4⋊C8 | — | 3 | 1 | no | — |
| 658 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 659 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 660 | #103 | — | 3 | 2 | no | — |
| 661 | #103 | — | 3 | 2 | no | — |
| 662 | #103 | — | 3 | 2 | no | — |
| 663 | #103 | — | 3 | 2 | no | — |
| 664 | #103 | — | 3 | 2 | no | — |
| 665 | #103 | — | 3 | 2 | no | — |
| 666 | #102 | — | 3 | 2 | no | — |
| 667 | #102 | — | 3 | 2 | no | — |
| 668 | #102 | — | 3 | 2 | no | — |
| 669 | #102 | — | 3 | 2 | no | — |
| 670 | #102 | — | 3 | 2 | no | — |
| 671 | #102 | — | 3 | 2 | no | — |
| 672 | #102 | C22×D3 | 1 | 2 | yes | — |
| 673 | #102 | C22×D3 | 1 | 2 | yes | — |
| 674 | #102 | C22×D3 | 1 | 2 | yes | — |
| 675 | #102 | C22×D3 | 1 | 2 | yes | — |
| 676 | C22⋊C8 | — | 3 | 2 | no | — |
| 677 | C22⋊C8 | — | 3 | 2 | no | — |
| 678 | C22⋊C8 | — | 3 | 2 | no | — |
| 679 | #97 | — | 3 | 2 | no | — |
| 680 | #97 | — | 3 | 2 | no | — |
| 681 | C4×C8 | — | 3 | 2 | no | — |
| 682 | C23×C3 | — | 2 | 1 | no | — |
| 683 | C23×C3 | — | 2 | 1 | no | — |
| 684 | C23×C3 | — | 4 | 2 | no | — |
| 685 | C23×C3 | — | 4 | 2 | no | — |
| 686 | C23×C3 | — | 8 | 1 | no | — |
| 687 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 688 | C22×D3 | — | 2 | 2 | no | — |
| 689 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 690 | C3×D4 | — | 2 | 1 | no | — |
| 691 | C3×D4 | — | 2 | 1 | no | — |
| 692 | C3×D4 | — | 2 | 1 | no | — |
| 693 | C3×D4 | — | 4 | 2 | no | — |
| 694 | C3×D4 | 2−1+4 | 1 | 2 | yes | — |
| 695 | C2×C3×C4 | — | 2 | 2 | no | — |
| 696 | C2×C3×C4 | — | 2 | 1 | no | — |
| 697 | C2×C3×C4 | — | 2 | 1 | no | — |
| 698 | C2×C3×C4 | — | 2 | 1 | no | — |
| 699 | C2×C3×C4 | — | 2 | 2 | no | — |
| 700 | C2×C3×C4 | — | 2 | 1 | no | — |
| 701 | C2×C3×C4 | — | 2 | 2 | no | — |
| 702 | C2×C3×C4 | — | 4 | 1 | no | — |
| 703 | C2×C3×C4 | — | 4 | 2 | no | — |
| 704 | C2×C3×C4 | — | 4 | 2 | no | — |
| 705 | C2×C3×C4 | — | 4 | 2 | no | — |
| 706 | C2×C3×C4 | — | 8 | 1 | no | — |
| 707 | C2×C3×C4 | — | 8 | 1 | no | — |
| 708 | C2×C3×C4 | — | 8 | 1 | no | — |
| 709 | C2×C3×C4 | — | 8 | 1 | no | — |
| 710 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 711 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 712 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 713 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 714 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 715 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 716 | #67 | — | 2 | 4 | no | — |
| 717 | #67 | — | 4 | 4 | no | — |
| 718 | #67 | — | 4 | 4 | no | — |
| 719 | #67 | — | 8 | 2 | no | — |
| 720 | C2×Dic3 | — | 2 | 2 | no | — |
| 721 | C2×Dic3 | — | 2 | 2 | no | — |
| 722 | C2×Dic3 | — | 2 | 2 | no | — |
| 723 | C2×Dic3 | — | 4 | 4 | no | — |
| 724 | C2×Dic3 | — | 8 | 2 | no | — |
| 725 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 726 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 727 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 728 | D12 | — | 2 | 2 | no | — |
| 729 | D12 | — | 2 | 2 | no | — |
| 730 | D12 | — | 4 | 1 | no | — |
| 731 | D12 | — | 8 | 1 | no | — |
| 732 | D12 | — | 8 | 1 | no | — |
| 733 | D12 | — | 8 | 2 | no | — |
| 734 | D12 | — | 8 | 2 | no | — |
| 735 | C4×D3 | — | 2 | 2 | no | — |
| 736 | C4×D3 | — | 2 | 2 | no | — |
| 737 | C4×D3 | — | 8 | 2 | no | — |
| 738 | C4×D3 | — | 8 | 2 | no | — |
| 739 | C4×D3 | — | 8 | 2 | no | — |
| 740 | C4×D3 | — | 8 | 2 | no | — |
| 741 | C4×D3 | — | 8 | 2 | no | — |
| 742 | Dic6 | — | 2 | 2 | no | — |
| 743 | Dic6 | — | 2 | 2 | no | — |
| 744 | Dic6 | — | 4 | 1 | no | — |
| 745 | Dic6 | — | 4 | 2 | no | — |
| 746 | Dic6 | — | 8 | 2 | no | — |
| 747 | Dic6 | — | 8 | 2 | no | — |
| 748 | Dic6 | — | 8 | 1 | no | — |
| 749 | C3×C8 | — | 2 | 2 | no | — |
| 750 | C3×C8 | — | 2 | 2 | no | — |
| 751 | C3⋊C8 | — | 2 | 2 | no | — |
| 752 | C3⋊C8 | — | 2 | 2 | no | — |
| 753 | C24 | — | 2 | 1 | no | — |
| 754 | #41 | — | 6 | 4 | no | — |
| 755 | #41 | — | 12 | 2 | no | — |
| 756 | #41 | — | 24 | 2 | no | — |
| 757 | #41 | — | 24 | 4 | no | — |
| 758 | #41 | — | 24 | 2 | no | — |
| 759 | C2×Q8 | — | 3 | 1 | no | — |
| 760 | C2×Q8 | — | 3 | 2 | no | — |
| 761 | C2×Q8 | — | 6 | 2 | no | — |
| 762 | C2×Q8 | — | 6 | 2 | no | — |
| 763 | C2×Q8 | — | 6 | 1 | no | — |
| 764 | C2×Q8 | — | 6 | 1 | no | — |
| 765 | C2×Q8 | — | 24 | 2 | no | — |
| 766 | C2×D4 | — | 2 | 2 | no | — |
| 767 | C2×D4 | — | 2 | 1 | no | — |
| 768 | C2×D4 | — | 3 | 2 | no | — |
| 769 | C2×D4 | — | 3 | 1 | no | — |
| 770 | C2×D4 | — | 3 | 2 | no | — |
| 771 | C2×D4 | — | 4 | 1 | no | — |
| 772 | C2×D4 | — | 6 | 2 | no | — |
| 773 | C2×D4 | — | 6 | 2 | no | — |
| 774 | C2×D4 | — | 6 | 2 | no | — |
| 775 | C2×D4 | — | 6 | 2 | no | — |
| 776 | C2×D4 | — | 6 | 2 | no | — |
| 777 | C2×D4 | — | 6 | 1 | no | — |
| 778 | C2×D4 | — | 6 | 1 | no | — |
| 779 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 780 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 781 | C22×C4 | — | 2 | 1 | no | — |
| 782 | C22×C4 | — | 2 | 1 | no | — |
| 783 | C22×C4 | — | 2 | 1 | no | — |
| 784 | C22×C4 | — | 2 | 1 | no | — |
| 785 | C22×C4 | — | 2 | 1 | no | — |
| 786 | C22×C4 | — | 2 | 1 | no | — |
| 787 | C22×C4 | — | 2 | 1 | no | — |
| 788 | C22×C4 | — | 3 | 2 | no | — |
| 789 | C22×C4 | — | 6 | 2 | no | — |
| 790 | C22×C4 | — | 6 | 2 | no | — |
| 791 | C22×C4 | — | 6 | 2 | no | — |
| 792 | C22×C4 | — | 6 | 2 | no | — |
| 793 | C22×C4 | — | 6 | 2 | no | — |
| 794 | C22×C4 | — | 6 | 2 | no | — |
| 795 | C22×C4 | — | 6 | 2 | no | — |
| 796 | C22×C4 | — | 8 | 2 | no | — |
| 797 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 798 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 799 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 800 | SD16 | — | 12 | 2 | no | — |
| 801 | SD16 | — | 12 | 2 | no | — |
| 802 | D8 | — | 6 | 4 | no | — |
| 803 | D8 | — | 12 | 2 | no | — |
| 804 | M16 | — | 12 | 2 | no | — |
| 805 | C2×C8 | — | 3 | 2 | no | — |
| 806 | C2×C8 | — | 3 | 2 | no | — |
| 807 | C2×C8 | — | 4 | 1 | no | — |
| 808 | C2×C8 | — | 4 | 1 | no | — |
| 809 | C2×C8 | — | 12 | 2 | no | — |
| 810 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 811 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 812 | C4⋊C4 | — | 2 | 2 | no | — |
| 813 | C4⋊C4 | — | 2 | 2 | no | — |
| 814 | C4⋊C4 | — | 2 | 2 | no | — |
| 815 | C4⋊C4 | — | 2 | 2 | no | — |
| 816 | C4⋊C4 | — | 2 | 1 | no | — |
| 817 | C4⋊C4 | — | 2 | 1 | no | — |
| 818 | C4⋊C4 | — | 2 | 1 | no | — |
| 819 | C4⋊C4 | — | 3 | 2 | no | — |
| 820 | C4⋊C4 | — | 3 | 1 | no | — |
| 821 | C4⋊C4 | — | 3 | 2 | no | — |
| 822 | C4⋊C4 | — | 3 | 2 | no | — |
| 823 | C4⋊C4 | — | 3 | 1 | no | — |
| 824 | C4⋊C4 | — | 3 | 2 | no | — |
| 825 | C4⋊C4 | — | 3 | 2 | no | — |
| 826 | C4⋊C4 | — | 3 | 2 | no | — |
| 827 | C4⋊C4 | — | 6 | 2 | no | — |
| 828 | C4⋊C4 | — | 6 | 2 | no | — |
| 829 | C4⋊C4 | — | 6 | 2 | no | — |
| 830 | C4⋊C4 | — | 6 | 2 | no | — |
| 831 | C4⋊C4 | — | 6 | 2 | no | — |
| 832 | C4⋊C4 | — | 6 | 2 | no | — |
| 833 | C4⋊C4 | — | 6 | 2 | no | — |
| 834 | C4⋊C4 | — | 6 | 2 | no | — |
| 835 | C4⋊C4 | — | 6 | 1 | no | — |
| 836 | C4⋊C4 | — | 6 | 2 | no | — |
| 837 | C4⋊C4 | — | 6 | 1 | no | — |
| 838 | C4⋊C4 | — | 6 | 1 | no | — |
| 839 | C4⋊C4 | — | 6 | 1 | no | — |
| 840 | C4⋊C4 | — | 6 | 2 | no | — |
| 841 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 842 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 843 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 844 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 845 | C22⋊C4 | — | 2 | 1 | no | — |
| 846 | C22⋊C4 | — | 2 | 1 | no | — |
| 847 | C22⋊C4 | — | 2 | 1 | no | — |
| 848 | C22⋊C4 | — | 2 | 1 | no | — |
| 849 | C22⋊C4 | — | 3 | 2 | no | — |
| 850 | C22⋊C4 | — | 3 | 2 | no | — |
| 851 | C22⋊C4 | — | 3 | 2 | no | — |
| 852 | C22⋊C4 | — | 3 | 2 | no | — |
| 853 | C22⋊C4 | — | 3 | 2 | no | — |
| 854 | C22⋊C4 | — | 6 | 2 | no | — |
| 855 | C22⋊C4 | — | 6 | 2 | no | — |
| 856 | C22⋊C4 | — | 6 | 2 | no | — |
| 857 | C22⋊C4 | — | 6 | 2 | no | — |
| 858 | C22⋊C4 | — | 6 | 2 | no | — |
| 859 | C22⋊C4 | — | 6 | 2 | no | — |
| 860 | C22⋊C4 | — | 6 | 2 | no | — |
| 861 | C22⋊C4 | — | 6 | 2 | no | — |
| 862 | C22⋊C4 | — | 6 | 2 | no | — |
| 863 | C22⋊C4 | — | 6 | 2 | no | — |
| 864 | C22⋊C4 | — | 6 | 2 | no | — |
| 865 | C22⋊C4 | — | 6 | 2 | no | — |
| 866 | C22⋊C4 | — | 6 | 2 | no | — |
| 867 | C42 | — | 3 | 2 | no | — |
| 868 | C42 | — | 6 | 2 | no | — |
| 869 | C42 | — | 6 | 2 | no | — |
| 870 | C42 | — | 6 | 2 | no | — |
| 871 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 872 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 873 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 874 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 875 | C22×C3 | — | 2 | 1 | no | — |
| 876 | C22×C3 | — | 2 | 1 | no | — |
| 877 | C22×C3 | — | 2 | 2 | no | — |
| 878 | C22×C3 | — | 4 | 1 | no | — |
| 879 | C22×C3 | — | 4 | 1 | no | — |
| 880 | C22×C3 | — | 4 | 1 | no | — |
| 881 | C22×C3 | — | 4 | 1 | no | — |
| 882 | C22×C3 | — | 4 | 1 | no | — |
| 883 | C22×C3 | — | 8 | 4 | no | — |
| 884 | C22×C3 | #577 | 1 | 2 | yes | — |
| 885 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 886 | C2×D3 | — | 2 | 2 | no | — |
| 887 | C2×D3 | — | 2 | 2 | no | — |
| 888 | C2×D3 | — | 2 | 2 | no | — |
| 889 | C2×D3 | — | 4 | 2 | no | — |
| 890 | C2×D3 | — | 4 | 2 | no | — |
| 891 | C2×D3 | — | 4 | 2 | no | — |
| 892 | C3×C4 | — | 2 | 1 | no | — |
| 893 | C3×C4 | — | 2 | 1 | no | — |
| 894 | C3×C4 | — | 2 | 1 | no | — |
| 895 | C3×C4 | — | 2 | 1 | no | — |
| 896 | C3×C4 | — | 2 | 1 | no | — |
| 897 | C3×C4 | — | 4 | 1 | no | — |
| 898 | C3×C4 | — | 4 | 1 | no | — |
| 899 | C3×C4 | — | 4 | 2 | no | — |
| 900 | C3×C4 | — | 4 | 2 | no | — |
| 901 | C3×C4 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 902 | C3×C4 | #585 | 1 | 1 | yes | characteristic |
| 903 | Dic3 | — | 2 | 2 | no | — |
| 904 | Dic3 | — | 2 | 2 | no | — |
| 905 | Dic3 | — | 2 | 2 | no | — |
| 906 | Dic3 | — | 4 | 2 | no | — |
| 907 | Dic3 | — | 4 | 2 | no | — |
| 908 | Dic3 | — | 4 | 2 | no | — |
| 909 | C23 | — | 2 | 1 | no | — |
| 910 | C23 | — | 2 | 1 | no | — |
| 911 | C23 | — | 3 | 2 | no | — |
| 912 | C23 | — | 4 | 2 | no | — |
| 913 | C23 | — | 4 | 2 | no | — |
| 914 | C23 | — | 6 | 2 | no | — |
| 915 | C23 | — | 8 | 1 | no | — |
| 916 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 917 | Q8 | — | 6 | 2 | no | — |
| 918 | Q8 | — | 6 | 2 | no | — |
| 919 | Q8 | — | 12 | 1 | no | — |
| 920 | Q8 | — | 12 | 2 | no | — |
| 921 | Q8 | — | 24 | 1 | no | — |
| 922 | Q8 | — | 24 | 2 | no | — |
| 923 | Q8 | — | 24 | 2 | no | — |
| 924 | D4 | — | 2 | 1 | no | — |
| 925 | D4 | — | 2 | 1 | no | — |
| 926 | D4 | — | 2 | 1 | no | — |
| 927 | D4 | — | 4 | 2 | no | — |
| 928 | D4 | — | 6 | 4 | no | — |
| 929 | D4 | — | 6 | 2 | no | — |
| 930 | D4 | — | 6 | 2 | no | — |
| 931 | D4 | — | 12 | 1 | no | — |
| 932 | D4 | — | 12 | 4 | no | — |
| 933 | D4 | — | 12 | 4 | no | — |
| 934 | D4 | — | 24 | 1 | no | — |
| 935 | D4 | — | 24 | 1 | no | — |
| 936 | D4 | — | 24 | 2 | no | — |
| 937 | D4 | — | 24 | 2 | no | — |
| 938 | D4 | — | 24 | 2 | no | — |
| 939 | D4 | #1007 | 1 | 2 | yes | — |
| 940 | C2×C4 | — | 2 | 2 | no | — |
| 941 | C2×C4 | — | 2 | 1 | no | — |
| 942 | C2×C4 | — | 2 | 1 | no | — |
| 943 | C2×C4 | — | 2 | 1 | no | — |
| 944 | C2×C4 | — | 2 | 2 | no | — |
| 945 | C2×C4 | — | 2 | 1 | no | — |
| 946 | C2×C4 | — | 2 | 2 | no | — |
| 947 | C2×C4 | — | 3 | 2 | no | — |
| 948 | C2×C4 | — | 3 | 2 | no | — |
| 949 | C2×C4 | — | 3 | 2 | no | — |
| 950 | C2×C4 | — | 4 | 1 | no | — |
| 951 | C2×C4 | — | 4 | 2 | no | — |
| 952 | C2×C4 | — | 4 | 2 | no | — |
| 953 | C2×C4 | — | 4 | 2 | no | — |
| 954 | C2×C4 | — | 6 | 2 | no | — |
| 955 | C2×C4 | — | 6 | 2 | no | — |
| 956 | C2×C4 | — | 6 | 2 | no | — |
| 957 | C2×C4 | — | 6 | 2 | no | — |
| 958 | C2×C4 | — | 6 | 2 | no | — |
| 959 | C2×C4 | — | 8 | 1 | no | — |
| 960 | C2×C4 | — | 8 | 1 | no | — |
| 961 | C2×C4 | — | 8 | 1 | no | — |
| 962 | C2×C4 | — | 8 | 1 | no | — |
| 963 | C2×C4 | — | 12 | 4 | no | — |
| 964 | C2×C4 | — | 24 | 2 | no | — |
| 965 | C2×C4 | — | 24 | 2 | no | — |
| 966 | C2×C4 | — | 24 | 2 | no | — |
| 967 | C2×C4 | — | 24 | 2 | no | — |
| 968 | C2×C4 | — | 24 | 2 | no | — |
| 969 | C2×C4 | — | 24 | 2 | no | — |
| 970 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 971 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 972 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 973 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 974 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 975 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 976 | C8 | — | 2 | 2 | no | — |
| 977 | C8 | — | 2 | 2 | no | — |
| 978 | C8 | — | 6 | 2 | no | — |
| 979 | C8 | — | 6 | 2 | no | — |
| 980 | C2×C3 | — | 2 | 2 | no | — |
| 981 | C2×C3 | — | 4 | 2 | no | — |
| 982 | C2×C3 | — | 8 | 1 | no | — |
| 983 | C2×C3 | #3489 | 1 | 1 | yes | characteristic |
| 984 | C2×C3 | C2×#577 | 1 | 1 | yes | characteristic |
| 985 | C2×C3 | #3585 | 1 | 1 | yes | characteristic |
| 986 | D3 | — | 4 | 2 | no | — |
| 987 | D3 | — | 8 | 2 | no | — |
| 988 | C22 | — | 2 | 1 | no | — |
| 989 | C22 | — | 2 | 1 | no | — |
| 990 | C22 | — | 2 | 2 | no | — |
| 991 | C22 | — | 4 | 1 | no | — |
| 992 | C22 | — | 4 | 1 | no | — |
| 993 | C22 | — | 4 | 1 | no | — |
| 994 | C22 | — | 4 | 1 | no | — |
| 995 | C22 | — | 4 | 1 | no | — |
| 996 | C22 | — | 6 | 2 | no | — |
| 997 | C22 | — | 6 | 2 | no | — |
| 998 | C22 | — | 6 | 2 | no | — |
| 999 | C22 | — | 8 | 4 | no | — |
| 1000 | C22 | — | 12 | 2 | no | — |
| 1001 | C22 | — | 12 | 2 | no | — |
| 1002 | C22 | — | 12 | 2 | no | — |
| 1003 | C22 | #5770 | 1 | 2 | yes | — |
| 1004 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1005 | C4 | — | 2 | 1 | no | — |
| 1006 | C4 | — | 2 | 1 | no | — |
| 1007 | C4 | — | 2 | 1 | no | — |
| 1008 | C4 | — | 2 | 1 | no | — |
| 1009 | C4 | — | 2 | 1 | no | — |
| 1010 | C4 | — | 4 | 2 | no | — |
| 1011 | C4 | — | 4 | 1 | no | — |
| 1012 | C4 | — | 4 | 1 | no | — |
| 1013 | C4 | — | 4 | 2 | no | — |
| 1014 | C4 | — | 6 | 2 | no | — |
| 1015 | C4 | — | 6 | 2 | no | — |
| 1016 | C4 | — | 6 | 2 | no | — |
| 1017 | C4 | — | 12 | 2 | no | — |
| 1018 | C4 | — | 12 | 2 | no | — |
| 1019 | C4 | — | 12 | 2 | no | — |
| 1020 | C4 | C2×#1007 | 1 | 1 | yes | characteristic |
| 1021 | C4 | #5964 | 1 | 1 | yes | characteristic |
| 1022 | C3 | #62166 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1023 | C2 | — | 2 | 2 | no | — |
| 1024 | C2 | — | 4 | 2 | no | — |
| 1025 | C2 | — | 8 | 1 | no | — |
| 1026 | C2 | — | 12 | 2 | no | — |
| 1027 | C2 | — | 24 | 2 | no | — |
| 1028 | C2 | #85985 | 1 | 1 | yes | characteristic |
| 1029 | C2 | C2×#5770 | 1 | 1 | yes | characteristic |
| 1030 | C2 | #87192 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86103 | C2 | semidirect |
| 2. #85767 | C2 | semidirect |
| 3. C2×C3×#478 | C2 | semidirect |
| 4. #83021 | C2 | semidirect |
| 5. #82310 | C2 | semidirect |
| 6. #81197 | C2 | semidirect |
| 7. #81188 | C2 | semidirect |
| 8. #81182 | C2 | semidirect |
| 9. #81179 | C2 | semidirect |
| 10. #81171 | C2 | semidirect |
| 11. #81158 | C2 | semidirect |
| 12. #81154 | C2 | semidirect |
| 13. #81144 | C2 | semidirect |
| 14. #79159 | C2 | semidirect |
| 15. #79124 | C2 | semidirect |
| 16. #79027 | C2 | semidirect |
| 17. #79016 | C2 | semidirect |
| 18. #78761 | C2 | semidirect |
| 19. #78760 | C2 | semidirect |
| 28. #5697 | C22 | semidirect |
| 29. #5695 | C22 | semidirect |
| 31. #5690 | C22 | semidirect |
| 32. #5689 | C22 | semidirect |
| 66. #5069 | C22 | semidirect |
| 67. #5064 | C22 | semidirect |
| 68. #5063 | C22 | semidirect |
| 69. #5063 | C22 | semidirect |
| 80. #4890 | C22 | semidirect |
| 81. #4889 | C22 | semidirect |
| 82. #4888 | C22 | semidirect |
| 83. #4886 | C22 | semidirect |
| 84. #4882 | C22 | semidirect |
| 85. #4881 | C22 | semidirect |
| 86. #4877 | C22 | semidirect |
| 87. #4876 | C22 | semidirect |
| 88. #4870 | C22 | semidirect |
| 89. #4864 | C22 | semidirect |
| 90. #4863 | C22 | semidirect |
| 91. #4862 | C22 | semidirect |
| 92. D3×#106 | C22 | semidirect |
| 93. #4855 | C22 | semidirect |
| 94. #4854 | C22 | semidirect |
| 95. #4852 | C22 | semidirect |
| 96. #4851 | C22 | semidirect |
| 97. #4848 | C22 | semidirect |
| 98. #4842 | C22 | semidirect |
| 99. #4841 | C22 | semidirect |
| 100. #4840 | C22 | semidirect |
| 101. #4839 | C22 | semidirect |
| 102. #4836 | C22 | semidirect |
| 103. #4828 | C22 | semidirect |
| 137. C2×#478 | D3 | semidirect |
| 1022. C3 | #62166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86103 | 2 |
| #85767 | 2 |
| C2×C3×#478 | 2 |
| #83021 | 2 |
| #82310 | 2 |
| #81197 | 2 |
| #81188 | 2 |
| #81182 | 2 |
| #81179 | 2 |
| #81171 | 2 |
| #81158 | 2 |
| #81154 | 2 |
| #81144 | 2 |
| #79159 | 2 |
| #79124 | 2 |
| #79027 | 2 |
| #79016 | 2 |
| #78761 | 2 |
| #78760 | 2 |
| #62166 | 3 |