Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1942 conjugacy classes of subgroups.
The subgroup lattice has 1004 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86119 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C3×#3250 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #83149 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #81229 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #81212 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #81165 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #81148 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #80758 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #80747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #80714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #80702 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #80656 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #80640 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #80597 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #80576 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #80533 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #80512 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #79030 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | C2×D3×C4⋊C8 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #60900 | — | 3 | 1 | no | maximal, Sylow |
| 21 | C3×#529 | C22 | 1 | 2 | yes | — |
| 22 | C2×#919 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#916 | C22 | 1 | 2 | yes | — |
| 24 | C2×#912 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×D3×C8 | C22 | 1 | 1 | yes | characteristic |
| 26 | C22×D3×C8 | C22 | 1 | 1 | yes | characteristic |
| 27 | #5706 | — | 2 | 2 | no | — |
| 28 | #5706 | — | 2 | 2 | no | — |
| 29 | #5691 | C22 | 1 | 2 | yes | — |
| 30 | #5688 | C22 | 1 | 2 | yes | — |
| 31 | #5680 | C22 | 1 | 2 | yes | — |
| 32 | #5668 | C22 | 1 | 2 | yes | — |
| 33 | #5656 | — | 2 | 2 | no | — |
| 34 | #5649 | — | 2 | 2 | no | — |
| 35 | #5627 | C22 | 1 | 2 | yes | — |
| 36 | #5622 | C22 | 1 | 2 | yes | — |
| 37 | #5606 | C22 | 1 | 2 | yes | — |
| 38 | #5596 | C22 | 1 | 2 | yes | — |
| 39 | #5578 | C22 | 1 | 2 | yes | — |
| 40 | C4×#239 | C22 | 1 | 2 | yes | — |
| 41 | #5548 | C22 | 1 | 2 | yes | — |
| 42 | #5547 | — | 2 | 2 | no | — |
| 43 | C4×#237 | — | 2 | 2 | no | — |
| 44 | C4×#237 | C22 | 1 | 2 | yes | — |
| 45 | #5528 | — | 2 | 2 | no | — |
| 46 | #5522 | — | 2 | 2 | no | — |
| 47 | #5479 | C22 | 1 | 2 | yes | — |
| 48 | C2×C42×D3 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×#479 | C22 | 1 | 2 | yes | complemented |
| 50 | C3×#478 | C22 | 1 | 2 | yes | complemented |
| 51 | C3×#467 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×#466 | C22 | 1 | 1 | yes | characteristic |
| 53 | C3×#465 | C22 | 1 | 2 | yes | — |
| 54 | C3×#464 | C22 | 1 | 2 | yes | complemented |
| 55 | C3×#463 | C22 | 1 | 2 | yes | complemented |
| 56 | C2×C3×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 57 | #5188 | C22 | 1 | 1 | yes | characteristic |
| 58 | #5182 | C22 | 1 | 2 | yes | complemented |
| 59 | #5171 | C22 | 1 | 2 | yes | — |
| 60 | #5163 | C22 | 1 | 2 | yes | complemented |
| 61 | #5162 | C22 | 1 | 2 | yes | complemented |
| 62 | #5157 | C22 | 1 | 1 | yes | characteristic |
| 63 | #5150 | C22 | 1 | 2 | yes | complemented |
| 64 | #5116 | C22 | 1 | 1 | yes | characteristic |
| 65 | #5115 | C22 | 1 | 1 | yes | characteristic |
| 66 | #5114 | C22 | 1 | 2 | yes | — |
| 67 | C2×Dic3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 68 | C2×Dic3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 69 | #5066 | C22 | 1 | 2 | yes | complemented |
| 70 | #5063 | C22 | 1 | 2 | yes | complemented |
| 71 | #5057 | C22 | 1 | 2 | yes | complemented |
| 72 | #5054 | C22 | 1 | 2 | yes | complemented |
| 73 | #5051 | C22 | 1 | 2 | yes | — |
| 74 | #5048 | C22 | 1 | 2 | yes | — |
| 75 | #5041 | C22 | 1 | 2 | yes | — |
| 76 | #5038 | C22 | 1 | 2 | yes | — |
| 77 | #5028 | C22 | 1 | 2 | yes | complemented |
| 78 | #5022 | C22 | 1 | 2 | yes | complemented |
| 79 | #5016 | C22 | 1 | 2 | yes | complemented |
| 80 | #5009 | C22 | 1 | 2 | yes | complemented |
| 81 | C2×C4⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 82 | #4890 | C22 | 1 | 2 | yes | complemented |
| 83 | #4887 | C22 | 1 | 1 | yes | characteristic |
| 84 | #4883 | C22 | 1 | 1 | yes | characteristic |
| 85 | #4880 | C22 | 1 | 1 | yes | characteristic |
| 86 | #4880 | C22 | 1 | 1 | yes | characteristic |
| 87 | #4875 | C22 | 1 | 2 | yes | complemented |
| 88 | #4870 | C22 | 1 | 2 | yes | complemented |
| 89 | #4864 | C22 | 1 | 2 | yes | — |
| 90 | #4860 | C22 | 1 | 2 | yes | — |
| 91 | #4854 | C22 | 1 | 2 | yes | complemented |
| 92 | #4847 | C22 | 1 | 2 | yes | complemented |
| 93 | #4845 | C22 | 1 | 2 | yes | complemented |
| 94 | #4844 | C22 | 1 | 2 | yes | complemented |
| 95 | D3×C4⋊C8 | C22 | 1 | 2 | yes | — |
| 96 | D3×C4⋊C8 | C22 | 1 | 2 | yes | — |
| 97 | D3×C4⋊C8 | C22 | 1 | 2 | yes | — |
| 98 | D3×C4⋊C8 | C22 | 1 | 2 | yes | — |
| 99 | #4829 | C22 | 1 | 2 | yes | complemented |
| 100 | #4818 | C22 | 1 | 2 | yes | complemented |
| 101 | #4813 | C22 | 1 | 2 | yes | — |
| 102 | #4807 | C22 | 1 | 2 | yes | — |
| 103 | #4804 | C22 | 1 | 2 | yes | — |
| 104 | #4804 | C22 | 1 | 2 | yes | — |
| 105 | #4795 | C22 | 1 | 2 | yes | complemented |
| 106 | #4793 | C22 | 1 | 2 | yes | complemented |
| 107 | #4791 | C22 | 1 | 2 | yes | complemented |
| 108 | #4786 | C22 | 1 | 2 | yes | complemented |
| 109 | #4778 | C22 | 1 | 2 | yes | — |
| 110 | #4775 | C22 | 1 | 2 | yes | — |
| 111 | #4772 | C22 | 1 | 2 | yes | — |
| 112 | #4772 | C22 | 1 | 2 | yes | — |
| 113 | #4762 | C22 | 1 | 2 | yes | complemented |
| 114 | #4761 | C22 | 1 | 2 | yes | complemented |
| 115 | #4759 | C22 | 1 | 2 | yes | complemented |
| 116 | #3444 | — | 3 | 2 | no | — |
| 117 | #3250 | — | 3 | 1 | no | — |
| 118 | #3250 | — | 3 | 2 | no | — |
| 119 | #3250 | D3 | 1 | 1 | yes | characteristic, complemented |
| 120 | #3249 | — | 3 | 1 | no | — |
| 121 | #3248 | — | 3 | 2 | no | — |
| 122 | #3248 | — | 3 | 2 | no | — |
| 123 | #3247 | — | 3 | 2 | no | — |
| 124 | #3247 | — | 3 | 2 | no | — |
| 125 | #3246 | — | 3 | 2 | no | — |
| 126 | #3245 | — | 3 | 1 | no | — |
| 127 | #3076 | — | 3 | 2 | no | — |
| 128 | #3076 | — | 3 | 2 | no | — |
| 129 | #3050 | — | 3 | 1 | no | — |
| 130 | #3050 | — | 3 | 1 | no | — |
| 131 | #3050 | — | 3 | 2 | no | — |
| 132 | #3035 | — | 3 | 2 | no | — |
| 133 | #3035 | — | 3 | 2 | no | — |
| 134 | C22×C4⋊C8 | — | 3 | 1 | no | — |
| 135 | C2×#239 | C23 | 1 | 2 | yes | — |
| 136 | C2×#237 | — | 2 | 2 | no | — |
| 137 | C2×#237 | C23 | 1 | 2 | yes | — |
| 138 | C2×#235 | — | 2 | 2 | no | — |
| 139 | C22×C4×D3 | D4 | 1 | 1 | yes | characteristic |
| 140 | C22×C4×D3 | D4 | 1 | 1 | yes | characteristic |
| 141 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×C3×Q16 | C23 | 1 | 1 | yes | characteristic |
| 143 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 144 | C2×C3×D8 | C23 | 1 | 1 | yes | characteristic |
| 145 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 146 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 147 | C3×#126 | — | 2 | 2 | no | — |
| 148 | C3×#125 | C23 | 1 | 2 | yes | — |
| 149 | C3×#124 | C23 | 1 | 2 | yes | — |
| 150 | C3×#123 | — | 2 | 2 | no | — |
| 151 | C3×C22⋊Q8 | C23 | 1 | 2 | yes | — |
| 152 | C3×#121 | C23 | 1 | 2 | yes | — |
| 153 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 154 | C3×C4×D4 | — | 2 | 2 | no | — |
| 155 | C3×C4×D4 | C23 | 1 | 2 | yes | — |
| 156 | C3×#117 | — | 2 | 2 | no | — |
| 157 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 158 | #946 | C23 | 1 | 2 | yes | — |
| 159 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 160 | #944 | C23 | 1 | 2 | yes | — |
| 161 | C2×#216 | C23 | 1 | 2 | yes | — |
| 162 | C2×#215 | C23 | 1 | 2 | yes | — |
| 163 | #940 | C23 | 1 | 2 | yes | — |
| 164 | #939 | — | 2 | 2 | no | — |
| 165 | #938 | C23 | 1 | 2 | yes | — |
| 166 | #937 | — | 2 | 2 | no | — |
| 167 | D4×Dic3 | — | 2 | 2 | no | — |
| 168 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 169 | C2×#214 | C23 | 1 | 2 | yes | — |
| 170 | C2×#213 | C23 | 1 | 2 | yes | — |
| 171 | #930 | C23 | 1 | 2 | yes | — |
| 172 | #929 | — | 2 | 2 | no | — |
| 173 | C4×#67 | — | 2 | 2 | no | — |
| 174 | C4×#67 | — | 2 | 2 | no | — |
| 175 | C4×#67 | — | 2 | 2 | no | — |
| 176 | #924 | C23 | 1 | 2 | yes | — |
| 177 | C2×C4×Dic3 | — | 2 | 2 | no | — |
| 178 | C2×C4×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 179 | C2×C4×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 180 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 181 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 182 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 183 | #919 | — | 4 | 2 | no | — |
| 184 | #916 | — | 4 | 4 | no | — |
| 185 | #912 | — | 4 | 2 | no | — |
| 186 | C2×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 187 | C2×D24 | C23 | 1 | 1 | yes | characteristic |
| 188 | C2×#204 | C23 | 1 | 2 | yes | — |
| 189 | C2×D3×C8 | — | 4 | 2 | no | — |
| 190 | C2×D3×C8 | — | 4 | 2 | no | — |
| 191 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 192 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 193 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 194 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 195 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 196 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 197 | #898 | — | 2 | 2 | no | — |
| 198 | #897 | C23 | 1 | 2 | yes | — |
| 199 | #896 | — | 2 | 2 | no | — |
| 200 | #896 | — | 2 | 2 | no | — |
| 201 | #896 | — | 2 | 2 | no | — |
| 202 | #895 | C23 | 1 | 2 | yes | — |
| 203 | #894 | — | 2 | 2 | no | — |
| 204 | #894 | — | 2 | 2 | no | — |
| 205 | #893 | — | 2 | 2 | no | — |
| 206 | #893 | — | 2 | 2 | no | — |
| 207 | #893 | — | 2 | 2 | no | — |
| 208 | #893 | C23 | 1 | 2 | yes | — |
| 209 | #892 | — | 2 | 2 | no | — |
| 210 | #892 | — | 2 | 2 | no | — |
| 211 | #892 | C23 | 1 | 2 | yes | — |
| 212 | #892 | C23 | 1 | 2 | yes | — |
| 213 | #889 | — | 2 | 2 | no | — |
| 214 | #889 | — | 2 | 2 | no | — |
| 215 | #888 | C23 | 1 | 2 | yes | — |
| 216 | #888 | C23 | 1 | 2 | yes | — |
| 217 | #887 | — | 2 | 2 | no | — |
| 218 | #887 | — | 2 | 2 | no | — |
| 219 | #887 | — | 2 | 2 | no | — |
| 220 | #887 | C23 | 1 | 2 | yes | — |
| 221 | #885 | — | 2 | 2 | no | — |
| 222 | #885 | — | 2 | 2 | no | — |
| 223 | #884 | — | 2 | 2 | no | — |
| 224 | #884 | — | 2 | 2 | no | — |
| 225 | #884 | — | 2 | 2 | no | — |
| 226 | #883 | — | 2 | 2 | no | — |
| 227 | #883 | — | 2 | 2 | no | — |
| 228 | #882 | — | 2 | 2 | no | — |
| 229 | #67⋊C4 | — | 2 | 2 | no | — |
| 230 | #67⋊C4 | — | 2 | 2 | no | — |
| 231 | #67⋊C4 | — | 2 | 2 | no | — |
| 232 | #67⋊C4 | — | 2 | 2 | no | — |
| 233 | #67⋊C4 | — | 2 | 2 | no | — |
| 234 | #67⋊C4 | — | 2 | 2 | no | — |
| 235 | #67⋊C4 | — | 2 | 2 | no | — |
| 236 | #879 | — | 2 | 2 | no | — |
| 237 | #878 | — | 2 | 2 | no | — |
| 238 | #877 | — | 2 | 2 | no | — |
| 239 | #877 | — | 2 | 2 | no | — |
| 240 | #877 | — | 2 | 2 | no | — |
| 241 | #876 | — | 2 | 2 | no | — |
| 242 | #875 | C23 | 1 | 2 | yes | — |
| 243 | C4×D12 | — | 2 | 2 | no | — |
| 244 | C4×D12 | C23 | 1 | 2 | yes | — |
| 245 | #872 | — | 2 | 2 | no | — |
| 246 | #872 | — | 2 | 2 | no | — |
| 247 | C42×D3 | — | 2 | 2 | no | — |
| 248 | C42×D3 | D4 | 1 | 2 | yes | — |
| 249 | C42×D3 | D4 | 1 | 2 | yes | — |
| 250 | C42×D3 | C23 | 1 | 2 | yes | — |
| 251 | C42×D3 | C23 | 1 | 2 | yes | — |
| 252 | #870 | C23 | 1 | 2 | yes | — |
| 253 | C4×Dic6 | — | 2 | 2 | no | — |
| 254 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 255 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 256 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 257 | C3×#106 | C23 | 1 | 2 | yes | — |
| 258 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 259 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 260 | C3×#103 | C23 | 1 | 2 | yes | — |
| 261 | C3×#103 | C23 | 1 | 2 | yes | — |
| 262 | C3×#102 | C23 | 1 | 2 | yes | — |
| 263 | C3×#102 | C23 | 1 | 2 | yes | — |
| 264 | #835 | C23 | 1 | 2 | yes | — |
| 265 | #835 | C23 | 1 | 2 | yes | — |
| 266 | #832 | C23 | 1 | 2 | yes | — |
| 267 | #832 | C23 | 1 | 2 | yes | — |
| 268 | #821 | C23 | 1 | 2 | yes | — |
| 269 | #821 | C23 | 1 | 2 | yes | — |
| 270 | #818 | C23 | 1 | 1 | yes | characteristic |
| 271 | #818 | C23 | 1 | 1 | yes | characteristic |
| 272 | #817 | C23 | 1 | 2 | yes | — |
| 273 | #816 | C23 | 1 | 2 | yes | — |
| 274 | #816 | C23 | 1 | 2 | yes | — |
| 275 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 276 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 277 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 278 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 279 | #810 | C23 | 1 | 2 | yes | — |
| 280 | #810 | C23 | 1 | 2 | yes | — |
| 281 | #809 | C23 | 1 | 2 | yes | — |
| 282 | #809 | C23 | 1 | 2 | yes | — |
| 283 | #808 | C23 | 1 | 2 | yes | — |
| 284 | #808 | C23 | 1 | 2 | yes | — |
| 285 | #807 | C23 | 1 | 2 | yes | — |
| 286 | #807 | C23 | 1 | 2 | yes | — |
| 287 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 288 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 289 | C2×#135 | — | 3 | 1 | no | — |
| 290 | C2×#135 | — | 3 | 2 | no | — |
| 291 | C2×#135 | — | 3 | 1 | no | — |
| 292 | C23×C8 | — | 3 | 1 | no | — |
| 293 | C23×C8 | — | 3 | 1 | no | — |
| 294 | #533 | — | 3 | 2 | no | — |
| 295 | #533 | — | 3 | 2 | no | — |
| 296 | #533 | — | 3 | 2 | no | — |
| 297 | #532 | — | 3 | 2 | no | — |
| 298 | #532 | — | 3 | 2 | no | — |
| 299 | #532 | — | 3 | 2 | no | — |
| 300 | #529 | — | 3 | 2 | no | — |
| 301 | #529 | — | 3 | 2 | no | — |
| 302 | #529 | — | 3 | 2 | no | — |
| 303 | #529 | — | 6 | 2 | no | — |
| 304 | #529 | — | 6 | 2 | no | — |
| 305 | #529 | — | 6 | 2 | no | — |
| 306 | #529 | — | 6 | 2 | no | — |
| 307 | #529 | C2×D3 | 1 | 2 | yes | — |
| 308 | #525 | — | 3 | 2 | no | — |
| 309 | #525 | — | 3 | 2 | no | — |
| 310 | #525 | — | 6 | 2 | no | — |
| 311 | #525 | — | 6 | 2 | no | — |
| 312 | C4×#41 | — | 3 | 2 | no | — |
| 313 | C4×#41 | — | 3 | 2 | no | — |
| 314 | C4×#41 | — | 6 | 2 | no | — |
| 315 | C4×#41 | — | 6 | 2 | no | — |
| 316 | C22×C42 | — | 3 | 1 | no | — |
| 317 | #479 | — | 3 | 2 | no | — |
| 318 | #479 | — | 3 | 2 | no | — |
| 319 | #479 | — | 3 | 2 | no | — |
| 320 | #479 | C2×D3 | 1 | 2 | yes | complemented |
| 321 | #478 | — | 3 | 2 | no | — |
| 322 | #478 | — | 3 | 2 | no | — |
| 323 | #478 | — | 3 | 2 | no | — |
| 324 | #478 | C2×D3 | 1 | 2 | yes | complemented |
| 325 | #477 | — | 3 | 2 | no | — |
| 326 | #477 | — | 3 | 2 | no | — |
| 327 | #476 | — | 3 | 2 | no | — |
| 328 | #476 | — | 3 | 2 | no | — |
| 329 | #475 | — | 3 | 2 | no | — |
| 330 | #475 | — | 3 | 2 | no | — |
| 331 | #474 | — | 3 | 2 | no | — |
| 332 | #474 | — | 3 | 2 | no | — |
| 333 | #467 | — | 3 | 1 | no | — |
| 334 | #467 | — | 3 | 1 | no | — |
| 335 | #467 | — | 3 | 2 | no | — |
| 336 | #467 | — | 3 | 1 | no | — |
| 337 | #467 | — | 3 | 2 | no | — |
| 338 | #467 | C2×D3 | 1 | 1 | yes | characteristic |
| 339 | #466 | — | 3 | 1 | no | — |
| 340 | #466 | — | 3 | 1 | no | — |
| 341 | #466 | — | 3 | 2 | no | — |
| 342 | #466 | — | 3 | 1 | no | — |
| 343 | #466 | — | 3 | 2 | no | — |
| 344 | #466 | C2×D3 | 1 | 1 | yes | characteristic |
| 345 | #465 | — | 3 | 2 | no | — |
| 346 | #465 | — | 3 | 2 | no | — |
| 347 | #465 | — | 3 | 2 | no | — |
| 348 | #465 | — | 3 | 2 | no | — |
| 349 | #465 | — | 3 | 2 | no | — |
| 350 | #465 | — | 3 | 2 | no | — |
| 351 | #465 | — | 3 | 2 | no | — |
| 352 | #465 | C2×D3 | 1 | 2 | yes | — |
| 353 | #464 | — | 3 | 2 | no | — |
| 354 | #464 | — | 3 | 2 | no | — |
| 355 | #464 | — | 3 | 2 | no | — |
| 356 | #464 | C2×D3 | 1 | 2 | yes | complemented |
| 357 | #463 | — | 3 | 2 | no | — |
| 358 | #463 | — | 3 | 2 | no | — |
| 359 | #463 | — | 3 | 2 | no | — |
| 360 | #463 | C2×D3 | 1 | 2 | yes | complemented |
| 361 | #462 | — | 3 | 2 | no | — |
| 362 | #462 | — | 3 | 2 | no | — |
| 363 | #461 | — | 3 | 2 | no | — |
| 364 | #461 | — | 3 | 2 | no | — |
| 365 | #460 | — | 3 | 2 | no | — |
| 366 | #460 | — | 3 | 2 | no | — |
| 367 | #459 | — | 3 | 2 | no | — |
| 368 | #459 | — | 3 | 2 | no | — |
| 369 | #427 | — | 3 | 1 | no | — |
| 370 | #427 | — | 3 | 1 | no | — |
| 371 | #427 | — | 3 | 2 | no | — |
| 372 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 373 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 374 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 375 | C2×C4⋊C8 | — | 3 | 2 | no | — |
| 376 | C2×C4⋊C8 | — | 3 | 2 | no | — |
| 377 | C2×C4⋊C8 | — | 3 | 2 | no | — |
| 378 | C2×C4⋊C8 | — | 3 | 2 | no | — |
| 379 | C2×C4⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 380 | #416 | — | 3 | 2 | no | — |
| 381 | #416 | — | 3 | 2 | no | — |
| 382 | #416 | — | 3 | 2 | no | — |
| 383 | #416 | — | 3 | 2 | no | — |
| 384 | C23×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 385 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 386 | C2×C3×D4 | — | 2 | 2 | no | — |
| 387 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 388 | C22×C3×C4 | — | 2 | 2 | no | — |
| 389 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 390 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 391 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 392 | C2×#67 | — | 2 | 2 | no | — |
| 393 | C2×#67 | — | 2 | 2 | no | — |
| 394 | C2×#67 | — | 2 | 2 | no | — |
| 395 | C2×#67 | — | 2 | 2 | no | — |
| 396 | C2×#67 | — | 2 | 2 | no | — |
| 397 | C22×Dic3 | — | 2 | 2 | no | — |
| 398 | C22×Dic3 | — | 2 | 2 | no | — |
| 399 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 400 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 401 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 402 | #239 | — | 2 | 4 | no | — |
| 403 | #239 | — | 2 | 4 | no | — |
| 404 | #237 | — | 2 | 4 | no | — |
| 405 | #237 | — | 2 | 4 | no | — |
| 406 | #237 | — | 4 | 8 | no | — |
| 407 | #235 | — | 4 | 8 | no | — |
| 408 | C2×D12 | — | 2 | 2 | no | — |
| 409 | C2×D12 | — | 2 | 2 | no | — |
| 410 | C2×D12 | C24 | 1 | 2 | yes | — |
| 411 | C2×C4×D3 | — | 2 | 4 | no | — |
| 412 | C2×C4×D3 | — | 2 | 2 | no | — |
| 413 | C2×C4×D3 | — | 2 | 2 | no | — |
| 414 | C2×C4×D3 | — | 2 | 2 | no | — |
| 415 | C2×C4×D3 | — | 2 | 2 | no | — |
| 416 | C2×C4×D3 | — | 2 | 2 | no | — |
| 417 | C2×C4×D3 | — | 4 | 2 | no | — |
| 418 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 419 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 420 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 421 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 422 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 423 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 424 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 425 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 426 | C2×Dic6 | — | 2 | 2 | no | — |
| 427 | C2×Dic6 | — | 2 | 2 | no | — |
| 428 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 429 | C3×Q16 | — | 4 | 1 | no | — |
| 430 | C3×SD16 | — | 4 | 2 | no | — |
| 431 | C3×D8 | — | 4 | 1 | no | — |
| 432 | C2×C3×C8 | — | 4 | 1 | no | — |
| 433 | C2×C3×C8 | — | 4 | 1 | no | — |
| 434 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 435 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 436 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 437 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 438 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 439 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 440 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 441 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 442 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 443 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 444 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 445 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 446 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 447 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 448 | C3×C42 | — | 2 | 2 | no | — |
| 449 | C3×C42 | C2×D4 | 1 | 2 | yes | — |
| 450 | C3×C42 | C24 | 1 | 2 | yes | — |
| 451 | #217 | — | 2 | 2 | no | — |
| 452 | #217 | — | 2 | 2 | no | — |
| 453 | #217 | — | 2 | 2 | no | — |
| 454 | #216 | — | 4 | 2 | no | — |
| 455 | #215 | — | 4 | 2 | no | — |
| 456 | #214 | — | 4 | 2 | no | — |
| 457 | #213 | — | 4 | 2 | no | — |
| 458 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 459 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 460 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 461 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 462 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 463 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 464 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 465 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 466 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 467 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 468 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 469 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 470 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 471 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 472 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 473 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 474 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 475 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 476 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 477 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 478 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 479 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 480 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 481 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 482 | C4×Dic3 | — | 2 | 2 | no | — |
| 483 | C4×Dic3 | — | 2 | 2 | no | — |
| 484 | C4×Dic3 | — | 2 | 2 | no | — |
| 485 | C4×Dic3 | — | 2 | 2 | no | — |
| 486 | C4×Dic3 | — | 2 | 2 | no | — |
| 487 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 488 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 489 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 490 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 491 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 492 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 493 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 494 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 495 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 496 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 497 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 498 | Dic12 | — | 4 | 1 | no | — |
| 499 | D24 | — | 4 | 1 | no | — |
| 500 | #204 | — | 4 | 2 | no | — |
| 501 | D3×C8 | — | 2 | 2 | no | — |
| 502 | D3×C8 | — | 2 | 4 | no | — |
| 503 | D3×C8 | — | 2 | 2 | no | — |
| 504 | D3×C8 | — | 4 | 2 | no | — |
| 505 | D3×C8 | — | 4 | 1 | no | — |
| 506 | D3×C8 | — | 4 | 1 | no | — |
| 507 | C2×#41 | — | 3 | 2 | no | — |
| 508 | C2×#41 | — | 3 | 2 | no | — |
| 509 | C2×#41 | — | 6 | 2 | no | — |
| 510 | C2×#41 | — | 6 | 2 | no | — |
| 511 | C23×C4 | — | 3 | 1 | no | — |
| 512 | C23×C4 | — | 3 | 1 | no | — |
| 513 | C23×C4 | — | 3 | 1 | no | — |
| 514 | #135 | — | 12 | 2 | no | — |
| 515 | #135 | — | 12 | 4 | no | — |
| 516 | #135 | — | 12 | 2 | no | — |
| 517 | C2×Q16 | — | 3 | 2 | no | — |
| 518 | C2×Q16 | — | 3 | 1 | no | — |
| 519 | C2×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 520 | C2×SD16 | — | 3 | 2 | no | — |
| 521 | C2×SD16 | — | 3 | 2 | no | — |
| 522 | C2×SD16 | — | 3 | 2 | no | — |
| 523 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 524 | C2×D8 | — | 3 | 2 | no | — |
| 525 | C2×D8 | — | 3 | 1 | no | — |
| 526 | C2×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 527 | C22×C8 | — | 3 | 1 | no | — |
| 528 | C22×C8 | — | 3 | 1 | no | — |
| 529 | C22×C8 | — | 3 | 1 | no | — |
| 530 | C22×C8 | — | 3 | 1 | no | — |
| 531 | C22×C8 | — | 3 | 2 | no | — |
| 532 | C22×C8 | — | 3 | 1 | no | — |
| 533 | C22×C8 | — | 3 | 1 | no | — |
| 534 | C22×C8 | — | 3 | 2 | no | — |
| 535 | C22×C8 | — | 12 | 2 | no | — |
| 536 | C22×C8 | — | 12 | 2 | no | — |
| 537 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 538 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 539 | C4⋊Q8 | — | 3 | 2 | no | — |
| 540 | C4⋊Q8 | — | 3 | 2 | no | — |
| 541 | C4⋊Q8 | — | 3 | 2 | no | — |
| 542 | #127 | — | 3 | 2 | no | — |
| 543 | #126 | — | 2 | 2 | no | — |
| 544 | #126 | — | 6 | 2 | no | — |
| 545 | #126 | — | 6 | 2 | no | — |
| 546 | #126 | — | 6 | 2 | no | — |
| 547 | #125 | — | 3 | 2 | no | — |
| 548 | #125 | — | 6 | 2 | no | — |
| 549 | #125 | — | 6 | 2 | no | — |
| 550 | #125 | C22×D3 | 1 | 2 | yes | — |
| 551 | #124 | — | 3 | 2 | no | — |
| 552 | #124 | — | 6 | 2 | no | — |
| 553 | #124 | — | 6 | 2 | no | — |
| 554 | #124 | C22×D3 | 1 | 2 | yes | — |
| 555 | #123 | — | 2 | 2 | no | — |
| 556 | #123 | — | 6 | 2 | no | — |
| 557 | #123 | — | 6 | 2 | no | — |
| 558 | #123 | — | 6 | 2 | no | — |
| 559 | #123 | — | 6 | 2 | no | — |
| 560 | #123 | — | 6 | 2 | no | — |
| 561 | C22⋊Q8 | — | 3 | 2 | no | — |
| 562 | C22⋊Q8 | — | 3 | 2 | no | — |
| 563 | C22⋊Q8 | — | 3 | 2 | no | — |
| 564 | C22⋊Q8 | — | 6 | 2 | no | — |
| 565 | C22⋊Q8 | — | 6 | 2 | no | — |
| 566 | C22⋊Q8 | — | 6 | 2 | no | — |
| 567 | C22⋊Q8 | — | 6 | 2 | no | — |
| 568 | C22⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 569 | #121 | — | 3 | 2 | no | — |
| 570 | #121 | — | 3 | 2 | no | — |
| 571 | #121 | — | 3 | 2 | no | — |
| 572 | #121 | — | 6 | 2 | no | — |
| 573 | #121 | — | 6 | 2 | no | — |
| 574 | #121 | — | 6 | 2 | no | — |
| 575 | #121 | — | 6 | 2 | no | — |
| 576 | #121 | C22×D3 | 1 | 2 | yes | — |
| 577 | #120 | — | 6 | 2 | no | — |
| 578 | #120 | — | 6 | 2 | no | — |
| 579 | C4×Q8 | — | 3 | 2 | no | — |
| 580 | C4×Q8 | — | 3 | 2 | no | — |
| 581 | C4×Q8 | — | 3 | 2 | no | — |
| 582 | C4×Q8 | — | 6 | 2 | no | — |
| 583 | C4×Q8 | — | 6 | 2 | no | — |
| 584 | C4×Q8 | — | 6 | 2 | no | — |
| 585 | C4×Q8 | — | 6 | 2 | no | — |
| 586 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 587 | C4×D4 | — | 2 | 2 | no | — |
| 588 | C4×D4 | — | 3 | 2 | no | — |
| 589 | C4×D4 | — | 3 | 2 | no | — |
| 590 | C4×D4 | — | 3 | 2 | no | — |
| 591 | C4×D4 | — | 6 | 2 | no | — |
| 592 | C4×D4 | — | 6 | 2 | no | — |
| 593 | C4×D4 | — | 6 | 2 | no | — |
| 594 | C4×D4 | — | 6 | 2 | no | — |
| 595 | C4×D4 | — | 6 | 2 | no | — |
| 596 | C4×D4 | — | 6 | 2 | no | — |
| 597 | C4×D4 | — | 6 | 2 | no | — |
| 598 | C4×D4 | — | 6 | 2 | no | — |
| 599 | C4×D4 | — | 6 | 2 | no | — |
| 600 | C4×D4 | — | 6 | 2 | no | — |
| 601 | C4×D4 | — | 6 | 2 | no | — |
| 602 | C4×D4 | — | 6 | 2 | no | — |
| 603 | C4×D4 | — | 6 | 2 | no | — |
| 604 | C4×D4 | — | 6 | 2 | no | — |
| 605 | C4×D4 | — | 6 | 2 | no | — |
| 606 | C4×D4 | C22×D3 | 1 | 2 | yes | — |
| 607 | #117 | — | 2 | 2 | no | — |
| 608 | #117 | — | 3 | 2 | no | — |
| 609 | #117 | — | 3 | 2 | no | — |
| 610 | #117 | — | 6 | 2 | no | — |
| 611 | #117 | — | 6 | 2 | no | — |
| 612 | #117 | — | 6 | 2 | no | — |
| 613 | #117 | — | 6 | 2 | no | — |
| 614 | #117 | — | 6 | 2 | no | — |
| 615 | #117 | — | 6 | 2 | no | — |
| 616 | #117 | — | 6 | 2 | no | — |
| 617 | C2×C42 | — | 3 | 1 | no | — |
| 618 | C2×C42 | — | 3 | 1 | no | — |
| 619 | C2×C42 | — | 3 | 1 | no | — |
| 620 | C2×C42 | — | 3 | 2 | no | — |
| 621 | C2×C42 | — | 3 | 2 | no | — |
| 622 | C2×C42 | — | 3 | 2 | no | — |
| 623 | C2×C42 | — | 3 | 2 | no | — |
| 624 | C2×C42 | — | 6 | 2 | no | — |
| 625 | C2×C42 | — | 6 | 2 | no | — |
| 626 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 627 | #107 | — | 3 | 1 | no | — |
| 628 | #107 | — | 3 | 1 | no | — |
| 629 | #107 | — | 3 | 2 | no | — |
| 630 | #107 | — | 3 | 2 | no | — |
| 631 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 632 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 633 | #106 | — | 3 | 2 | no | — |
| 634 | #106 | — | 3 | 2 | no | — |
| 635 | #106 | — | 3 | 2 | no | — |
| 636 | #106 | C22×D3 | 1 | 2 | yes | — |
| 637 | C4⋊C8 | — | 3 | 2 | no | — |
| 638 | C4⋊C8 | — | 3 | 2 | no | — |
| 639 | C4⋊C8 | — | 3 | 2 | no | — |
| 640 | C4⋊C8 | — | 3 | 2 | no | — |
| 641 | C4⋊C8 | — | 3 | 2 | no | — |
| 642 | C4⋊C8 | — | 3 | 2 | no | — |
| 643 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 644 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 645 | #103 | — | 3 | 2 | no | — |
| 646 | #103 | — | 3 | 2 | no | — |
| 647 | #103 | — | 3 | 2 | no | — |
| 648 | #103 | — | 3 | 2 | no | — |
| 649 | #103 | — | 3 | 2 | no | — |
| 650 | #103 | — | 3 | 2 | no | — |
| 651 | #103 | C22×D3 | 1 | 2 | yes | — |
| 652 | #103 | C22×D3 | 1 | 2 | yes | — |
| 653 | #102 | — | 3 | 2 | no | — |
| 654 | #102 | — | 3 | 2 | no | — |
| 655 | #102 | — | 3 | 2 | no | — |
| 656 | #102 | — | 3 | 2 | no | — |
| 657 | #102 | — | 3 | 2 | no | — |
| 658 | #102 | — | 3 | 2 | no | — |
| 659 | #102 | C22×D3 | 1 | 2 | yes | — |
| 660 | #102 | C22×D3 | 1 | 2 | yes | — |
| 661 | C23×C3 | — | 2 | 2 | no | — |
| 662 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 663 | C22×D3 | — | 2 | 2 | no | — |
| 664 | C22×D3 | — | 2 | 2 | no | — |
| 665 | C22×D3 | — | 2 | 2 | no | — |
| 666 | C22×D3 | — | 2 | 2 | no | — |
| 667 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 668 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 669 | C3×Q8 | — | 2 | 2 | no | — |
| 670 | C3×Q8 | — | 2 | 2 | no | — |
| 671 | C3×D4 | — | 2 | 2 | no | — |
| 672 | C3×D4 | — | 2 | 2 | no | — |
| 673 | C3×D4 | — | 4 | 4 | no | — |
| 674 | C2×C3×C4 | — | 2 | 2 | no | — |
| 675 | C2×C3×C4 | — | 2 | 1 | no | — |
| 676 | C2×C3×C4 | — | 2 | 1 | no | — |
| 677 | C2×C3×C4 | — | 2 | 2 | no | — |
| 678 | C2×C3×C4 | — | 2 | 2 | no | — |
| 679 | C2×C3×C4 | — | 2 | 2 | no | — |
| 680 | C2×C3×C4 | — | 4 | 1 | no | — |
| 681 | C2×C3×C4 | — | 4 | 4 | no | — |
| 682 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 683 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 684 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 685 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 686 | #67 | — | 4 | 4 | no | — |
| 687 | #67 | — | 4 | 4 | no | — |
| 688 | #67 | — | 4 | 4 | no | — |
| 689 | #67 | — | 4 | 4 | no | — |
| 690 | #67 | — | 4 | 4 | no | — |
| 691 | C2×Dic3 | — | 2 | 2 | no | — |
| 692 | C2×Dic3 | — | 2 | 2 | no | — |
| 693 | C2×Dic3 | — | 2 | 2 | no | — |
| 694 | C2×Dic3 | — | 2 | 2 | no | — |
| 695 | C2×Dic3 | — | 4 | 1 | no | — |
| 696 | C2×Dic3 | — | 4 | 4 | no | — |
| 697 | C2×Dic3 | — | 4 | 4 | no | — |
| 698 | C2×Dic3 | #135 | 1 | 4 | yes | complemented |
| 699 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 700 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 701 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 702 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 703 | D12 | — | 2 | 2 | no | — |
| 704 | D12 | — | 2 | 2 | no | — |
| 705 | D12 | — | 4 | 4 | no | — |
| 706 | D12 | — | 4 | 4 | no | — |
| 707 | C4×D3 | — | 2 | 2 | no | — |
| 708 | C4×D3 | — | 2 | 4 | no | — |
| 709 | C4×D3 | — | 2 | 1 | no | — |
| 710 | C4×D3 | — | 2 | 1 | no | — |
| 711 | C4×D3 | — | 2 | 2 | no | — |
| 712 | C4×D3 | — | 2 | 4 | no | — |
| 713 | C4×D3 | — | 2 | 4 | no | — |
| 714 | C4×D3 | — | 4 | 2 | no | — |
| 715 | C4×D3 | — | 4 | 4 | no | — |
| 716 | C4×D3 | — | 4 | 4 | no | — |
| 717 | C4×D3 | — | 4 | 4 | no | — |
| 718 | C4×D3 | H(5,𝔽2) | 1 | 2 | yes | — |
| 719 | C4×D3 | 2−1+4 | 1 | 2 | yes | — |
| 720 | Dic6 | — | 2 | 2 | no | — |
| 721 | Dic6 | — | 2 | 2 | no | — |
| 722 | Dic6 | — | 4 | 4 | no | — |
| 723 | Dic6 | — | 4 | 4 | no | — |
| 724 | C3×C8 | — | 2 | 2 | no | — |
| 725 | C3×C8 | — | 2 | 1 | no | — |
| 726 | C3×C8 | — | 2 | 1 | no | — |
| 727 | C3⋊C8 | — | 2 | 2 | no | — |
| 728 | C3⋊C8 | — | 2 | 1 | no | — |
| 729 | C3⋊C8 | — | 2 | 1 | no | — |
| 730 | C24 | — | 3 | 1 | no | — |
| 731 | #41 | — | 6 | 4 | no | — |
| 732 | #41 | — | 6 | 4 | no | — |
| 733 | #41 | — | 6 | 4 | no | — |
| 734 | #41 | — | 6 | 4 | no | — |
| 735 | #41 | — | 12 | 8 | no | — |
| 736 | #41 | — | 12 | 8 | no | — |
| 737 | C2×Q8 | — | 3 | 2 | no | — |
| 738 | C2×Q8 | — | 6 | 2 | no | — |
| 739 | C2×Q8 | — | 6 | 2 | no | — |
| 740 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 741 | C2×D4 | — | 2 | 2 | no | — |
| 742 | C2×D4 | — | 3 | 2 | no | — |
| 743 | C2×D4 | — | 6 | 2 | no | — |
| 744 | C2×D4 | — | 6 | 2 | no | — |
| 745 | C2×D4 | — | 6 | 2 | no | — |
| 746 | C2×D4 | — | 6 | 2 | no | — |
| 747 | C2×D4 | — | 6 | 2 | no | — |
| 748 | C2×D4 | — | 6 | 2 | no | — |
| 749 | C2×D4 | — | 6 | 2 | no | — |
| 750 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 751 | C22×C4 | — | 2 | 2 | no | — |
| 752 | C22×C4 | — | 3 | 1 | no | — |
| 753 | C22×C4 | — | 3 | 1 | no | — |
| 754 | C22×C4 | — | 3 | 1 | no | — |
| 755 | C22×C4 | — | 3 | 1 | no | — |
| 756 | C22×C4 | — | 3 | 2 | no | — |
| 757 | C22×C4 | — | 3 | 1 | no | — |
| 758 | C22×C4 | — | 3 | 2 | no | — |
| 759 | C22×C4 | — | 3 | 2 | no | — |
| 760 | C22×C4 | — | 3 | 1 | no | — |
| 761 | C22×C4 | — | 3 | 1 | no | — |
| 762 | C22×C4 | — | 3 | 2 | no | — |
| 763 | C22×C4 | — | 6 | 2 | no | — |
| 764 | C22×C4 | — | 6 | 4 | no | — |
| 765 | C22×C4 | — | 6 | 2 | no | — |
| 766 | C22×C4 | — | 6 | 2 | no | — |
| 767 | C22×C4 | — | 6 | 2 | no | — |
| 768 | C22×C4 | — | 6 | 2 | no | — |
| 769 | C22×C4 | — | 6 | 2 | no | — |
| 770 | C22×C4 | — | 6 | 2 | no | — |
| 771 | C22×C4 | — | 12 | 2 | no | — |
| 772 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 773 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 774 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 775 | Q16 | — | 4 | 1 | no | — |
| 776 | Q16 | — | 12 | 1 | no | — |
| 777 | Q16 | — | 12 | 2 | no | — |
| 778 | SD16 | — | 4 | 2 | no | — |
| 779 | SD16 | — | 12 | 2 | no | — |
| 780 | SD16 | — | 12 | 2 | no | — |
| 781 | SD16 | — | 12 | 2 | no | — |
| 782 | D8 | — | 4 | 1 | no | — |
| 783 | D8 | — | 12 | 1 | no | — |
| 784 | D8 | — | 12 | 2 | no | — |
| 785 | C2×C8 | — | 3 | 1 | no | — |
| 786 | C2×C8 | — | 3 | 1 | no | — |
| 787 | C2×C8 | — | 3 | 2 | no | — |
| 788 | C2×C8 | — | 4 | 1 | no | — |
| 789 | C2×C8 | — | 4 | 1 | no | — |
| 790 | C2×C8 | — | 6 | 2 | no | — |
| 791 | C2×C8 | — | 6 | 2 | no | — |
| 792 | C2×C8 | — | 6 | 4 | no | — |
| 793 | C2×C8 | — | 12 | 1 | no | — |
| 794 | C2×C8 | — | 12 | 1 | no | — |
| 795 | C2×C8 | — | 12 | 2 | no | — |
| 796 | C2×C8 | — | 12 | 1 | no | — |
| 797 | C2×C8 | — | 12 | 1 | no | — |
| 798 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 799 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 800 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 801 | C4⋊C4 | — | 2 | 2 | no | — |
| 802 | C4⋊C4 | — | 2 | 2 | no | — |
| 803 | C4⋊C4 | — | 2 | 2 | no | — |
| 804 | C4⋊C4 | — | 2 | 2 | no | — |
| 805 | C4⋊C4 | — | 3 | 2 | no | — |
| 806 | C4⋊C4 | — | 3 | 2 | no | — |
| 807 | C4⋊C4 | — | 6 | 2 | no | — |
| 808 | C4⋊C4 | — | 6 | 2 | no | — |
| 809 | C4⋊C4 | — | 6 | 2 | no | — |
| 810 | C4⋊C4 | — | 6 | 2 | no | — |
| 811 | C4⋊C4 | — | 6 | 2 | no | — |
| 812 | C4⋊C4 | — | 6 | 2 | no | — |
| 813 | C4⋊C4 | — | 6 | 2 | no | — |
| 814 | C4⋊C4 | — | 6 | 2 | no | — |
| 815 | C4⋊C4 | — | 6 | 2 | no | — |
| 816 | C4⋊C4 | — | 6 | 2 | no | — |
| 817 | C4⋊C4 | — | 6 | 2 | no | — |
| 818 | C4⋊C4 | — | 6 | 2 | no | — |
| 819 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 820 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 821 | C22⋊C4 | — | 2 | 2 | no | — |
| 822 | C22⋊C4 | — | 2 | 2 | no | — |
| 823 | C22⋊C4 | — | 2 | 2 | no | — |
| 824 | C22⋊C4 | — | 2 | 2 | no | — |
| 825 | C22⋊C4 | — | 2 | 2 | no | — |
| 826 | C22⋊C4 | — | 6 | 2 | no | — |
| 827 | C22⋊C4 | — | 6 | 2 | no | — |
| 828 | C22⋊C4 | — | 6 | 2 | no | — |
| 829 | C22⋊C4 | — | 6 | 2 | no | — |
| 830 | C22⋊C4 | — | 6 | 2 | no | — |
| 831 | C22⋊C4 | — | 6 | 2 | no | — |
| 832 | C22⋊C4 | — | 6 | 2 | no | — |
| 833 | C22⋊C4 | — | 6 | 2 | no | — |
| 834 | C22⋊C4 | — | 6 | 2 | no | — |
| 835 | C22⋊C4 | — | 6 | 2 | no | — |
| 836 | C22⋊C4 | — | 6 | 2 | no | — |
| 837 | C22⋊C4 | — | 6 | 2 | no | — |
| 838 | C22⋊C4 | — | 6 | 2 | no | — |
| 839 | C42 | — | 2 | 2 | no | — |
| 840 | C42 | — | 3 | 2 | no | — |
| 841 | C42 | — | 3 | 2 | no | — |
| 842 | C42 | — | 3 | 2 | no | — |
| 843 | C42 | — | 3 | 2 | no | — |
| 844 | C42 | — | 3 | 2 | no | — |
| 845 | C42 | — | 3 | 2 | no | — |
| 846 | C42 | — | 6 | 2 | no | — |
| 847 | C42 | — | 6 | 2 | no | — |
| 848 | C42 | — | 6 | 2 | no | — |
| 849 | C42 | — | 6 | 2 | no | — |
| 850 | C42 | — | 6 | 2 | no | — |
| 851 | C42 | D3×D4 | 1 | 2 | yes | — |
| 852 | C42 | C23×D3 | 1 | 2 | yes | — |
| 853 | C22×C3 | — | 2 | 1 | no | — |
| 854 | C22×C3 | — | 2 | 1 | no | — |
| 855 | C22×C3 | — | 4 | 2 | no | — |
| 856 | C22×C3 | — | 4 | 2 | no | — |
| 857 | C22×C3 | — | 4 | 2 | no | — |
| 858 | C22×C3 | C2×#135 | 1 | 2 | yes | — |
| 859 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 860 | C2×D3 | — | 2 | 8 | no | — |
| 861 | C2×D3 | — | 2 | 1 | no | — |
| 862 | C2×D3 | — | 2 | 1 | no | — |
| 863 | C2×D3 | — | 2 | 1 | no | — |
| 864 | C2×D3 | — | 2 | 1 | no | — |
| 865 | C2×D3 | — | 4 | 2 | no | — |
| 866 | C2×D3 | — | 4 | 2 | no | — |
| 867 | C2×D3 | — | 4 | 2 | no | — |
| 868 | C2×D3 | #537 | 1 | 2 | yes | — |
| 869 | C2×D3 | #575 | 1 | 2 | yes | — |
| 870 | C3×C4 | — | 2 | 1 | no | — |
| 871 | C3×C4 | — | 2 | 2 | no | — |
| 872 | C3×C4 | — | 2 | 2 | no | — |
| 873 | C3×C4 | — | 4 | 2 | no | — |
| 874 | C3×C4 | — | 4 | 2 | no | — |
| 875 | C3×C4 | — | 4 | 2 | no | — |
| 876 | C3×C4 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 877 | C3×C4 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 878 | Dic3 | — | 2 | 1 | no | — |
| 879 | Dic3 | — | 2 | 2 | no | — |
| 880 | Dic3 | — | 4 | 2 | no | — |
| 881 | Dic3 | — | 4 | 2 | no | — |
| 882 | Dic3 | — | 4 | 2 | no | — |
| 883 | Dic3 | #537 | 1 | 2 | yes | — |
| 884 | Dic3 | C2×#135 | 1 | 4 | yes | — |
| 885 | C23 | — | 2 | 2 | no | — |
| 886 | C23 | — | 3 | 1 | no | — |
| 887 | C23 | — | 3 | 1 | no | — |
| 888 | C23 | — | 6 | 2 | no | — |
| 889 | C23 | — | 6 | 2 | no | — |
| 890 | C23 | — | 6 | 2 | no | — |
| 891 | C23 | — | 6 | 2 | no | — |
| 892 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 893 | Q8 | — | 2 | 2 | no | — |
| 894 | Q8 | — | 2 | 2 | no | — |
| 895 | Q8 | — | 6 | 2 | no | — |
| 896 | Q8 | — | 6 | 2 | no | — |
| 897 | Q8 | — | 12 | 4 | no | — |
| 898 | Q8 | — | 12 | 4 | no | — |
| 899 | D4 | — | 2 | 2 | no | — |
| 900 | D4 | — | 2 | 2 | no | — |
| 901 | D4 | — | 4 | 4 | no | — |
| 902 | D4 | — | 6 | 2 | no | — |
| 903 | D4 | — | 6 | 2 | no | — |
| 904 | D4 | — | 12 | 4 | no | — |
| 905 | D4 | — | 12 | 4 | no | — |
| 906 | D4 | — | 12 | 4 | no | — |
| 907 | D4 | — | 12 | 4 | no | — |
| 908 | D4 | — | 12 | 4 | no | — |
| 909 | D4 | — | 12 | 4 | no | — |
| 910 | D4 | — | 12 | 4 | no | — |
| 911 | C2×C4 | — | 2 | 2 | no | — |
| 912 | C2×C4 | — | 2 | 1 | no | — |
| 913 | C2×C4 | — | 2 | 1 | no | — |
| 914 | C2×C4 | — | 2 | 2 | no | — |
| 915 | C2×C4 | — | 2 | 2 | no | — |
| 916 | C2×C4 | — | 2 | 2 | no | — |
| 917 | C2×C4 | — | 3 | 1 | no | — |
| 918 | C2×C4 | — | 3 | 2 | no | — |
| 919 | C2×C4 | — | 3 | 4 | no | — |
| 920 | C2×C4 | — | 3 | 2 | no | — |
| 921 | C2×C4 | — | 3 | 2 | no | — |
| 922 | C2×C4 | — | 3 | 1 | no | — |
| 923 | C2×C4 | — | 3 | 2 | no | — |
| 924 | C2×C4 | — | 4 | 1 | no | — |
| 925 | C2×C4 | — | 4 | 4 | no | — |
| 926 | C2×C4 | — | 6 | 2 | no | — |
| 927 | C2×C4 | — | 6 | 4 | no | — |
| 928 | C2×C4 | — | 6 | 4 | no | — |
| 929 | C2×C4 | — | 6 | 2 | no | — |
| 930 | C2×C4 | — | 6 | 4 | no | — |
| 931 | C2×C4 | — | 6 | 2 | no | — |
| 932 | C2×C4 | — | 6 | 1 | no | — |
| 933 | C2×C4 | — | 6 | 1 | no | — |
| 934 | C2×C4 | — | 6 | 2 | no | — |
| 935 | C2×C4 | — | 6 | 2 | no | — |
| 936 | C2×C4 | — | 6 | 2 | no | — |
| 937 | C2×C4 | — | 12 | 2 | no | — |
| 938 | C2×C4 | — | 12 | 4 | no | — |
| 939 | C2×C4 | — | 12 | 4 | no | — |
| 940 | C2×C4 | — | 12 | 4 | no | — |
| 941 | C2×C4 | — | 12 | 4 | no | — |
| 942 | C2×C4 | — | 12 | 4 | no | — |
| 943 | C2×C4 | — | 12 | 1 | no | — |
| 944 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 945 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 946 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 947 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 948 | C8 | — | 2 | 1 | no | — |
| 949 | C8 | — | 2 | 1 | no | — |
| 950 | C8 | — | 2 | 2 | no | — |
| 951 | C8 | — | 6 | 2 | no | — |
| 952 | C8 | — | 6 | 1 | no | — |
| 953 | C8 | — | 6 | 1 | no | — |
| 954 | C2×C3 | — | 2 | 2 | no | — |
| 955 | C2×C3 | — | 8 | 2 | no | — |
| 956 | C2×C3 | C2×#537 | 1 | 1 | yes | characteristic |
| 957 | C2×C3 | C22×#135 | 1 | 1 | yes | characteristic |
| 958 | C2×C3 | C2×#575 | 1 | 1 | yes | characteristic |
| 959 | D3 | — | 2 | 2 | no | — |
| 960 | D3 | — | 2 | 2 | no | — |
| 961 | D3 | — | 8 | 2 | no | — |
| 962 | C22 | — | 2 | 1 | no | — |
| 963 | C22 | — | 2 | 1 | no | — |
| 964 | C22 | — | 3 | 2 | no | — |
| 965 | C22 | — | 3 | 2 | no | — |
| 966 | C22 | — | 4 | 2 | no | — |
| 967 | C22 | — | 4 | 2 | no | — |
| 968 | C22 | — | 4 | 2 | no | — |
| 969 | C22 | — | 6 | 8 | no | — |
| 970 | C22 | — | 6 | 1 | no | — |
| 971 | C22 | — | 6 | 1 | no | — |
| 972 | C22 | — | 6 | 1 | no | — |
| 973 | C22 | — | 6 | 1 | no | — |
| 974 | C22 | — | 12 | 2 | no | — |
| 975 | C22 | — | 12 | 2 | no | — |
| 976 | C22 | — | 12 | 2 | no | — |
| 977 | C22 | D3×#135 | 1 | 2 | yes | — |
| 978 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 979 | C4 | — | 2 | 1 | no | — |
| 980 | C4 | — | 2 | 2 | no | — |
| 981 | C4 | — | 2 | 2 | no | — |
| 982 | C4 | — | 3 | 2 | no | — |
| 983 | C4 | — | 3 | 4 | no | — |
| 984 | C4 | — | 4 | 2 | no | — |
| 985 | C4 | — | 4 | 2 | no | — |
| 986 | C4 | — | 4 | 2 | no | — |
| 987 | C4 | — | 6 | 1 | no | — |
| 988 | C4 | — | 6 | 2 | no | — |
| 989 | C4 | — | 12 | 2 | no | — |
| 990 | C4 | — | 12 | 2 | no | — |
| 991 | C4 | — | 12 | 2 | no | — |
| 992 | C4 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 993 | C4 | D3×2−1+4 | 1 | 1 | yes | characteristic |
| 994 | C3 | #60900 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 995 | C2 | — | 2 | 2 | no | — |
| 996 | C2 | — | 6 | 2 | no | — |
| 997 | C2 | — | 6 | 2 | no | — |
| 998 | C2 | — | 8 | 2 | no | — |
| 999 | C2 | — | 24 | 2 | no | — |
| 1000 | C2 | D3×#537 | 1 | 1 | yes | characteristic |
| 1001 | C2 | C2×D3×#135 | 1 | 1 | yes | characteristic |
| 1002 | C2 | D3×#575 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86119 | C2 | semidirect |
| 2. C3×#3250 | C2 | semidirect |
| 3. #83149 | C2 | semidirect |
| 4. #81229 | C2 | semidirect |
| 5. #81212 | C2 | semidirect |
| 6. #81165 | C2 | semidirect |
| 7. #81148 | C2 | semidirect |
| 8. #80758 | C2 | semidirect |
| 9. #80747 | C2 | semidirect |
| 10. #80714 | C2 | semidirect |
| 11. #80702 | C2 | semidirect |
| 12. #80656 | C2 | semidirect |
| 13. #80640 | C2 | semidirect |
| 14. #80597 | C2 | semidirect |
| 15. #80576 | C2 | semidirect |
| 16. #80533 | C2 | semidirect |
| 17. #80512 | C2 | semidirect |
| 18. #79030 | C2 | semidirect |
| 19. C2×D3×C4⋊C8 | C2 | semidirect |
| 49. C3×#479 | C22 | semidirect |
| 50. C3×#478 | C22 | semidirect |
| 54. C3×#464 | C22 | semidirect |
| 55. C3×#463 | C22 | semidirect |
| 58. #5182 | C22 | semidirect |
| 60. #5163 | C22 | semidirect |
| 61. #5162 | C22 | semidirect |
| 63. #5150 | C22 | semidirect |
| 69. #5066 | C22 | semidirect |
| 70. #5063 | C22 | semidirect |
| 71. #5057 | C22 | semidirect |
| 72. #5054 | C22 | semidirect |
| 77. #5028 | C22 | semidirect |
| 78. #5022 | C22 | semidirect |
| 79. #5016 | C22 | semidirect |
| 80. #5009 | C22 | semidirect |
| 82. #4890 | C22 | semidirect |
| 87. #4875 | C22 | semidirect |
| 88. #4870 | C22 | semidirect |
| 91. #4854 | C22 | semidirect |
| 92. #4847 | C22 | semidirect |
| 93. #4845 | C22 | semidirect |
| 94. #4844 | C22 | semidirect |
| 99. #4829 | C22 | semidirect |
| 100. #4818 | C22 | semidirect |
| 105. #4795 | C22 | semidirect |
| 106. #4793 | C22 | semidirect |
| 107. #4791 | C22 | semidirect |
| 108. #4786 | C22 | semidirect |
| 113. #4762 | C22 | semidirect |
| 114. #4761 | C22 | semidirect |
| 115. #4759 | C22 | semidirect |
| 119. #3250 | D3 | semidirect |
| 320. #479 | C2×D3 | semidirect |
| 324. #478 | C2×D3 | semidirect |
| 356. #464 | C2×D3 | semidirect |
| 360. #463 | C2×D3 | semidirect |
| 698. C2×Dic3 | #135 | semidirect |
| 994. C3 | #60900 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86119 | 2 |
| C3×#3250 | 2 |
| #83149 | 2 |
| #81229 | 2 |
| #81212 | 2 |
| #81165 | 2 |
| #81148 | 2 |
| #80758 | 2 |
| #80747 | 2 |
| #80714 | 2 |
| #80702 | 2 |
| #80656 | 2 |
| #80640 | 2 |
| #80597 | 2 |
| #80576 | 2 |
| #80533 | 2 |
| #80512 | 2 |
| #79030 | 2 |
| C2×D3×C4⋊C8 | 2 |
| #60900 | 3 |