Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
6904 conjugacy classes of subgroups.
The subgroup lattice has 1210 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3×#3499 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #87291 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #87290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #86759 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #86752 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #86749 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #86745 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #86706 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | #86698 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | #86694 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #86690 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | #86359 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #86348 | C2 | 1 | 6 | yes | maximal, complemented |
| 15 | #86345 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | #86253 | C2 | 1 | 3 | yes | maximal, complemented |
| 17 | #86248 | C2 | 1 | 3 | yes | maximal, complemented |
| 18 | #86218 | C2 | 1 | 6 | yes | maximal, complemented |
| 19 | #85855 | C2 | 1 | 2 | yes | maximal, complemented |
| 20 | #63044 | — | 3 | 1 | no | maximal, Sylow |
| 21 | C2×C3×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×2−1+4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#1007 | C22 | 1 | 2 | yes | — |
| 24 | C22×#239 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C22×D3×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C3×D4×Q8 | C22 | 1 | 2 | yes | complemented |
| 27 | C3×D4×Q8 | C22 | 1 | 2 | yes | complemented |
| 28 | C3×#547 | C22 | 1 | 6 | yes | complemented |
| 29 | C3×#547 | C22 | 1 | 6 | yes | complemented |
| 30 | C3×#536 | C22 | 1 | 3 | yes | — |
| 31 | C3×#536 | C22 | 1 | 3 | yes | complemented |
| 32 | C3×#532 | C22 | 1 | 3 | yes | — |
| 33 | C2×C3×C4⋊Q8 | C22 | 1 | 3 | yes | complemented |
| 34 | C3×C4×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #5834 | C22 | 1 | 6 | yes | — |
| 36 | #5834 | C22 | 1 | 2 | yes | complemented |
| 37 | #5834 | C22 | 1 | 6 | yes | complemented |
| 38 | #5833 | C22 | 1 | 6 | yes | complemented |
| 39 | #5833 | C22 | 1 | 6 | yes | complemented |
| 40 | #5832 | C22 | 1 | 6 | yes | complemented |
| 41 | #5832 | C22 | 1 | 6 | yes | complemented |
| 42 | #5831 | C22 | 1 | 6 | yes | — |
| 43 | #5831 | C22 | 1 | 2 | yes | complemented |
| 44 | #5831 | C22 | 1 | 6 | yes | complemented |
| 45 | #5830 | C22 | 1 | 3 | yes | — |
| 46 | #5830 | C22 | 1 | 3 | yes | complemented |
| 47 | #5828 | C22 | 1 | 3 | yes | — |
| 48 | #5828 | C22 | 1 | 3 | yes | — |
| 49 | #5828 | C22 | 1 | 3 | yes | complemented |
| 50 | #5828 | C22 | 1 | 3 | yes | complemented |
| 51 | #5825 | C22 | 1 | 3 | yes | — |
| 52 | #5825 | C22 | 1 | 3 | yes | complemented |
| 53 | #5817 | C22 | 1 | 2 | yes | — |
| 54 | #5817 | C22 | 1 | 6 | yes | complemented |
| 55 | #5817 | C22 | 1 | 6 | yes | complemented |
| 56 | #5817 | C22 | 1 | 2 | yes | complemented |
| 57 | Q8×#67 | C22 | 1 | 2 | yes | — |
| 58 | Q8×#67 | C22 | 1 | 6 | yes | complemented |
| 59 | Q8×#67 | C22 | 1 | 6 | yes | complemented |
| 60 | Q8×#67 | C22 | 1 | 2 | yes | complemented |
| 61 | #5812 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #5812 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | C2×Q8×Dic3 | C22 | 1 | 2 | yes | complemented |
| 64 | #5735 | C22 | 1 | 6 | yes | complemented |
| 65 | #5735 | C22 | 1 | 6 | yes | complemented |
| 66 | #5733 | C22 | 1 | 12 | yes | complemented |
| 67 | #5732 | C22 | 1 | 6 | yes | complemented |
| 68 | #5731 | C22 | 1 | 6 | yes | complemented |
| 69 | #5731 | C22 | 1 | 6 | yes | complemented |
| 70 | #5729 | C22 | 1 | 12 | yes | complemented |
| 71 | #5727 | C22 | 1 | 6 | yes | complemented |
| 72 | #5726 | C22 | 1 | 6 | yes | — |
| 73 | #5724 | C22 | 1 | 6 | yes | complemented |
| 74 | #5724 | C22 | 1 | 6 | yes | complemented |
| 75 | #5721 | C22 | 1 | 6 | yes | complemented |
| 76 | #5720 | C22 | 1 | 1 | yes | characteristic |
| 77 | #5720 | C22 | 1 | 3 | yes | — |
| 78 | #5684 | C22 | 1 | 6 | yes | complemented |
| 79 | #5683 | C22 | 1 | 3 | yes | — |
| 80 | #5679 | C22 | 1 | 6 | yes | — |
| 81 | #5672 | C22 | 1 | 3 | yes | — |
| 82 | #5670 | C22 | 1 | 6 | yes | complemented |
| 83 | #5667 | C22 | 1 | 12 | yes | complemented |
| 84 | #5666 | C22 | 1 | 6 | yes | complemented |
| 85 | #5664 | C22 | 1 | 6 | yes | complemented |
| 86 | #5663 | C22 | 1 | 12 | yes | complemented |
| 87 | #5662 | C22 | 1 | 12 | yes | complemented |
| 88 | #5661 | C22 | 1 | 12 | yes | complemented |
| 89 | #5660 | C22 | 1 | 12 | yes | complemented |
| 90 | #5659 | C22 | 1 | 6 | yes | complemented |
| 91 | #5657 | C22 | 1 | 12 | yes | — |
| 92 | #5651 | C22 | 1 | 6 | yes | complemented |
| 93 | #5643 | C22 | 1 | 6 | yes | complemented |
| 94 | #5642 | C22 | 1 | 6 | yes | complemented |
| 95 | #5641 | C22 | 1 | 6 | yes | — |
| 96 | #5639 | C22 | 1 | 6 | yes | complemented |
| 97 | #5635 | C22 | 1 | 6 | yes | complemented |
| 98 | #5633 | C22 | 1 | 6 | yes | complemented |
| 99 | #5632 | C22 | 1 | 6 | yes | complemented |
| 100 | #5631 | C22 | 1 | 6 | yes | complemented |
| 101 | #5630 | C22 | 1 | 6 | yes | — |
| 102 | #5629 | C22 | 1 | 6 | yes | — |
| 103 | #5628 | C22 | 1 | 6 | yes | complemented |
| 104 | #5627 | C22 | 1 | 6 | yes | complemented |
| 105 | D3×C22⋊Q8 | C22 | 1 | 6 | yes | complemented |
| 106 | #5625 | C22 | 1 | 6 | yes | complemented |
| 107 | #5624 | C22 | 1 | 6 | yes | complemented |
| 108 | #5622 | C22 | 1 | 6 | yes | complemented |
| 109 | #5621 | C22 | 1 | 6 | yes | — |
| 110 | #5621 | C22 | 1 | 6 | yes | complemented |
| 111 | #5620 | C22 | 1 | 6 | yes | — |
| 112 | #5620 | C22 | 1 | 6 | yes | complemented |
| 113 | #5615 | C22 | 1 | 12 | yes | complemented |
| 114 | #5613 | C22 | 1 | 12 | yes | complemented |
| 115 | #5576 | C22 | 1 | 2 | yes | — |
| 116 | #5574 | C22 | 1 | 2 | yes | complemented |
| 117 | #5572 | C22 | 1 | 2 | yes | complemented |
| 118 | #5569 | C22 | 1 | 2 | yes | complemented |
| 119 | #5565 | C22 | 1 | 6 | yes | complemented |
| 120 | #5562 | C22 | 1 | 6 | yes | complemented |
| 121 | #5561 | C22 | 1 | 6 | yes | complemented |
| 122 | #5559 | C22 | 1 | 6 | yes | complemented |
| 123 | #5558 | C22 | 1 | 6 | yes | complemented |
| 124 | #5552 | C22 | 1 | 6 | yes | complemented |
| 125 | #5550 | C22 | 1 | 6 | yes | complemented |
| 126 | #5547 | C22 | 1 | 6 | yes | — |
| 127 | #5547 | C22 | 1 | 6 | yes | complemented |
| 128 | #5541 | C22 | 1 | 6 | yes | complemented |
| 129 | #5538 | C22 | 1 | 6 | yes | — |
| 130 | #5538 | C22 | 1 | 6 | yes | complemented |
| 131 | #5532 | C22 | 1 | 6 | yes | complemented |
| 132 | #5529 | C22 | 1 | 6 | yes | complemented |
| 133 | #5515 | C22 | 1 | 12 | yes | complemented |
| 134 | #5515 | C22 | 1 | 12 | yes | complemented |
| 135 | #5514 | C22 | 1 | 12 | yes | complemented |
| 136 | #5511 | C22 | 1 | 12 | yes | complemented |
| 137 | #5479 | C22 | 1 | 6 | yes | complemented |
| 138 | #5479 | C22 | 1 | 6 | yes | complemented |
| 139 | #3562 | — | 3 | 6 | no | — |
| 140 | #3554 | — | 3 | 6 | no | — |
| 141 | #3552 | — | 3 | 6 | no | — |
| 142 | #3551 | — | 3 | 3 | no | — |
| 143 | #3547 | — | 3 | 6 | no | — |
| 144 | #3541 | — | 3 | 6 | no | — |
| 145 | #3540 | — | 3 | 3 | no | — |
| 146 | #3539 | — | 3 | 6 | no | — |
| 147 | #3538 | — | 3 | 3 | no | — |
| 148 | #3529 | — | 3 | 3 | no | — |
| 149 | #3524 | — | 3 | 2 | no | — |
| 150 | #3523 | — | 3 | 2 | no | — |
| 151 | #3516 | — | 3 | 2 | no | — |
| 152 | #3499 | D3 | 1 | 1 | yes | characteristic, complemented |
| 153 | #3497 | — | 3 | 2 | no | — |
| 154 | #3489 | — | 3 | 2 | no | — |
| 155 | #3487 | — | 3 | 1 | no | — |
| 156 | #3486 | — | 3 | 1 | no | — |
| 157 | #3486 | — | 3 | 2 | no | — |
| 158 | C3×2−1+4 | — | 4 | 4 | no | — |
| 159 | C3×2−1+4 | — | 4 | 4 | no | — |
| 160 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 161 | C2×C3×#41 | C23 | 1 | 3 | yes | — |
| 162 | C2×C3×#41 | C23 | 1 | 3 | yes | — |
| 163 | C2×C3×#41 | C23 | 1 | 3 | yes | — |
| 164 | C2×C3×#41 | C23 | 1 | 6 | yes | — |
| 165 | C2×C3×#41 | C23 | 1 | 3 | yes | — |
| 166 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 167 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 168 | C22×C3×Q8 | C23 | 1 | 2 | yes | — |
| 169 | C22×C3×Q8 | C23 | 1 | 3 | yes | — |
| 170 | C22×C3×Q8 | C23 | 1 | 3 | yes | — |
| 171 | #1007 | — | 4 | 8 | no | — |
| 172 | C2×#239 | — | 4 | 4 | no | — |
| 173 | C2×#239 | C23 | 1 | 2 | yes | — |
| 174 | C2×#239 | C23 | 1 | 6 | yes | — |
| 175 | C2×#239 | C23 | 1 | 6 | yes | — |
| 176 | C2×D3×Q8 | — | 4 | 4 | no | — |
| 177 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 178 | C2×D3×Q8 | C23 | 1 | 6 | yes | — |
| 179 | C2×D3×Q8 | C23 | 1 | 6 | yes | — |
| 180 | C2×#235 | C23 | 1 | 6 | yes | — |
| 181 | C2×#235 | C23 | 1 | 6 | yes | — |
| 182 | C22×D12 | C23 | 1 | 3 | yes | — |
| 183 | C22×C4×D3 | C23 | 1 | 3 | yes | — |
| 184 | C22×C4×D3 | C23 | 1 | 3 | yes | — |
| 185 | C22×Dic6 | C23 | 1 | 3 | yes | — |
| 186 | C3×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 187 | C3×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 188 | C3×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 189 | C3×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 190 | C3×#127 | C23 | 1 | 1 | yes | characteristic |
| 191 | C3×#124 | C23 | 1 | 3 | yes | — |
| 192 | C3×#124 | C23 | 1 | 3 | yes | — |
| 193 | C3×#123 | C23 | 1 | 6 | yes | — |
| 194 | C3×#123 | C23 | 1 | 6 | yes | — |
| 195 | C3×#123 | C23 | 1 | 12 | yes | — |
| 196 | C3×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 197 | C3×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 198 | C3×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 199 | C3×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 200 | C3×#121 | C23 | 1 | 6 | yes | — |
| 201 | C3×#121 | C23 | 1 | 6 | yes | — |
| 202 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 203 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 204 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 205 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 206 | C3×#117 | C23 | 1 | 3 | yes | — |
| 207 | C2×C3×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 208 | C2×C3×C42 | C23 | 1 | 3 | yes | — |
| 209 | #947 | C23 | 1 | 6 | yes | — |
| 210 | #947 | C23 | 1 | 6 | yes | — |
| 211 | #947 | C23 | 1 | 6 | yes | — |
| 212 | #947 | C23 | 1 | 6 | yes | — |
| 213 | #946 | C23 | 1 | 6 | yes | — |
| 214 | #946 | C23 | 1 | 6 | yes | — |
| 215 | #946 | C23 | 1 | 6 | yes | — |
| 216 | #946 | C23 | 1 | 6 | yes | — |
| 217 | #946 | C23 | 1 | 12 | yes | — |
| 218 | #946 | C23 | 1 | 6 | yes | — |
| 219 | #946 | C23 | 1 | 6 | yes | — |
| 220 | Q8×Dic3 | C23 | 1 | 6 | yes | — |
| 221 | Q8×Dic3 | C23 | 1 | 6 | yes | — |
| 222 | Q8×Dic3 | C23 | 1 | 6 | yes | — |
| 223 | Q8×Dic3 | C23 | 1 | 6 | yes | — |
| 224 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 225 | Q8×Dic3 | C23 | 1 | 2 | yes | — |
| 226 | #944 | C23 | 1 | 6 | yes | — |
| 227 | #944 | C23 | 1 | 6 | yes | — |
| 228 | #944 | C23 | 1 | 6 | yes | — |
| 229 | #944 | C23 | 1 | 6 | yes | — |
| 230 | #940 | C23 | 1 | 6 | yes | — |
| 231 | #940 | C23 | 1 | 6 | yes | — |
| 232 | #940 | C23 | 1 | 6 | yes | — |
| 233 | #939 | C23 | 1 | 6 | yes | — |
| 234 | #939 | C23 | 1 | 12 | yes | — |
| 235 | #939 | C23 | 1 | 6 | yes | — |
| 236 | #939 | C23 | 1 | 6 | yes | — |
| 237 | #939 | C23 | 1 | 2 | yes | — |
| 238 | #939 | C23 | 1 | 2 | yes | — |
| 239 | #939 | C23 | 1 | 6 | yes | — |
| 240 | #939 | C23 | 1 | 2 | yes | — |
| 241 | #939 | C23 | 1 | 6 | yes | — |
| 242 | #938 | C23 | 1 | 6 | yes | — |
| 243 | #938 | C23 | 1 | 6 | yes | — |
| 244 | #938 | C23 | 1 | 12 | yes | — |
| 245 | #938 | C23 | 1 | 6 | yes | — |
| 246 | #938 | C23 | 1 | 6 | yes | — |
| 247 | #937 | C23 | 1 | 6 | yes | — |
| 248 | #937 | C23 | 1 | 3 | yes | — |
| 249 | #937 | C23 | 1 | 3 | yes | — |
| 250 | #937 | C23 | 1 | 3 | yes | — |
| 251 | #937 | C23 | 1 | 1 | yes | characteristic |
| 252 | #937 | C23 | 1 | 6 | yes | — |
| 253 | #937 | C23 | 1 | 2 | yes | — |
| 254 | #936 | C23 | 1 | 6 | yes | — |
| 255 | #936 | C23 | 1 | 6 | yes | — |
| 256 | #936 | C23 | 1 | 6 | yes | — |
| 257 | #935 | C23 | 1 | 3 | yes | — |
| 258 | #935 | C23 | 1 | 6 | yes | — |
| 259 | #935 | C23 | 1 | 3 | yes | — |
| 260 | #935 | C23 | 1 | 1 | yes | characteristic |
| 261 | #935 | C23 | 1 | 3 | yes | — |
| 262 | #935 | C23 | 1 | 6 | yes | — |
| 263 | #935 | C23 | 1 | 2 | yes | — |
| 264 | #930 | C23 | 1 | 6 | yes | — |
| 265 | #930 | C23 | 1 | 12 | yes | — |
| 266 | #930 | C23 | 1 | 12 | yes | — |
| 267 | #930 | C23 | 1 | 6 | yes | — |
| 268 | #930 | C23 | 1 | 6 | yes | — |
| 269 | #930 | C23 | 1 | 6 | yes | — |
| 270 | #929 | C23 | 1 | 6 | yes | — |
| 271 | #929 | C23 | 1 | 6 | yes | — |
| 272 | #929 | C23 | 1 | 12 | yes | — |
| 273 | C4×#67 | C23 | 1 | 6 | yes | — |
| 274 | C4×#67 | C23 | 1 | 6 | yes | — |
| 275 | C4×#67 | C23 | 1 | 6 | yes | — |
| 276 | C4×#67 | C23 | 1 | 6 | yes | — |
| 277 | C4×#67 | C23 | 1 | 12 | yes | — |
| 278 | C4×#67 | C23 | 1 | 12 | yes | — |
| 279 | C4×#67 | C23 | 1 | 12 | yes | — |
| 280 | C4×#67 | C23 | 1 | 12 | yes | — |
| 281 | C4×#67 | C23 | 1 | 12 | yes | — |
| 282 | C4×#67 | C23 | 1 | 6 | yes | — |
| 283 | C4×#67 | C23 | 1 | 6 | yes | — |
| 284 | #926 | C23 | 1 | 3 | yes | — |
| 285 | #926 | C23 | 1 | 3 | yes | — |
| 286 | #926 | C23 | 1 | 3 | yes | — |
| 287 | #926 | C23 | 1 | 3 | yes | — |
| 288 | C2×C4⋊Dic3 | C23 | 1 | 6 | yes | — |
| 289 | #924 | C23 | 1 | 12 | yes | — |
| 290 | #924 | C23 | 1 | 12 | yes | — |
| 291 | #924 | C23 | 1 | 6 | yes | — |
| 292 | #924 | C23 | 1 | 6 | yes | — |
| 293 | #924 | C23 | 1 | 6 | yes | — |
| 294 | #924 | C23 | 1 | 6 | yes | — |
| 295 | C2×C4×Dic3 | C23 | 1 | 6 | yes | — |
| 296 | #898 | C23 | 1 | 12 | yes | — |
| 297 | #898 | C23 | 1 | 12 | yes | — |
| 298 | #898 | C23 | 1 | 6 | yes | — |
| 299 | #898 | C23 | 1 | 12 | yes | — |
| 300 | #898 | C23 | 1 | 6 | yes | — |
| 301 | #897 | C23 | 1 | 6 | yes | — |
| 302 | #897 | C23 | 1 | 12 | yes | — |
| 303 | #896 | C23 | 1 | 12 | yes | — |
| 304 | #896 | C23 | 1 | 12 | yes | — |
| 305 | #896 | C23 | 1 | 6 | yes | — |
| 306 | #896 | C23 | 1 | 12 | yes | — |
| 307 | #896 | C23 | 1 | 6 | yes | — |
| 308 | #895 | C23 | 1 | 6 | yes | — |
| 309 | #895 | C23 | 1 | 12 | yes | — |
| 310 | #894 | C23 | 1 | 12 | yes | — |
| 311 | #894 | C23 | 1 | 12 | yes | — |
| 312 | #894 | C23 | 1 | 6 | yes | — |
| 313 | #894 | C23 | 1 | 12 | yes | — |
| 314 | #894 | C23 | 1 | 6 | yes | — |
| 315 | #893 | C23 | 1 | 12 | yes | — |
| 316 | #893 | C23 | 1 | 6 | yes | — |
| 317 | #892 | C23 | 1 | 12 | yes | — |
| 318 | #892 | C23 | 1 | 6 | yes | — |
| 319 | D3×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 320 | D3×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 321 | #890 | C23 | 1 | 6 | yes | — |
| 322 | #890 | C23 | 1 | 12 | yes | — |
| 323 | #889 | C23 | 1 | 12 | yes | — |
| 324 | #889 | C23 | 1 | 12 | yes | — |
| 325 | #889 | C23 | 1 | 6 | yes | — |
| 326 | #889 | C23 | 1 | 12 | yes | — |
| 327 | #889 | C23 | 1 | 6 | yes | — |
| 328 | #888 | C23 | 1 | 12 | yes | — |
| 329 | #888 | C23 | 1 | 6 | yes | — |
| 330 | #887 | C23 | 1 | 6 | yes | — |
| 331 | #887 | C23 | 1 | 12 | yes | — |
| 332 | #886 | C23 | 1 | 6 | yes | — |
| 333 | #886 | C23 | 1 | 6 | yes | — |
| 334 | #885 | C23 | 1 | 12 | yes | — |
| 335 | #885 | C23 | 1 | 6 | yes | — |
| 336 | #885 | C23 | 1 | 6 | yes | — |
| 337 | #885 | C23 | 1 | 12 | yes | — |
| 338 | #884 | C23 | 1 | 6 | yes | — |
| 339 | #884 | C23 | 1 | 12 | yes | — |
| 340 | #884 | C23 | 1 | 6 | yes | — |
| 341 | #884 | C23 | 1 | 12 | yes | — |
| 342 | #883 | C23 | 1 | 12 | yes | — |
| 343 | #883 | C23 | 1 | 12 | yes | — |
| 344 | #883 | C23 | 1 | 6 | yes | — |
| 345 | #883 | C23 | 1 | 6 | yes | — |
| 346 | #882 | C23 | 1 | 6 | yes | — |
| 347 | #882 | C23 | 1 | 6 | yes | — |
| 348 | #67⋊C4 | C23 | 1 | 12 | yes | — |
| 349 | #67⋊C4 | C23 | 1 | 12 | yes | — |
| 350 | D3×C22⋊C4 | C23 | 1 | 12 | yes | — |
| 351 | #879 | C23 | 1 | 6 | yes | — |
| 352 | #879 | C23 | 1 | 12 | yes | — |
| 353 | #879 | C23 | 1 | 12 | yes | — |
| 354 | #879 | C23 | 1 | 6 | yes | — |
| 355 | #878 | C23 | 1 | 6 | yes | — |
| 356 | #878 | C23 | 1 | 6 | yes | — |
| 357 | #878 | C23 | 1 | 6 | yes | — |
| 358 | #878 | C23 | 1 | 6 | yes | — |
| 359 | #877 | C23 | 1 | 12 | yes | — |
| 360 | #876 | C23 | 1 | 2 | yes | — |
| 361 | #876 | C23 | 1 | 6 | yes | — |
| 362 | #875 | C23 | 1 | 6 | yes | — |
| 363 | #875 | C23 | 1 | 6 | yes | — |
| 364 | C4×D12 | C23 | 1 | 6 | yes | — |
| 365 | C4×D12 | C23 | 1 | 6 | yes | — |
| 366 | #872 | C23 | 1 | 12 | yes | — |
| 367 | #872 | C23 | 1 | 6 | yes | — |
| 368 | #872 | C23 | 1 | 6 | yes | — |
| 369 | #870 | C23 | 1 | 6 | yes | — |
| 370 | #870 | C23 | 1 | 6 | yes | — |
| 371 | C4×Dic6 | C23 | 1 | 6 | yes | — |
| 372 | C4×Dic6 | C23 | 1 | 6 | yes | — |
| 373 | C2×2−1+4 | — | 3 | 2 | no | — |
| 374 | C2×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic |
| 375 | C2×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 376 | C22×#41 | — | 3 | 1 | no | — |
| 377 | C23×Q8 | — | 3 | 1 | no | — |
| 378 | #563 | — | 3 | 6 | no | — |
| 379 | #563 | — | 3 | 6 | no | — |
| 380 | #563 | — | 3 | 3 | no | — |
| 381 | #563 | — | 3 | 6 | no | — |
| 382 | #562 | — | 3 | 6 | no | — |
| 383 | #562 | — | 3 | 12 | no | — |
| 384 | #562 | — | 3 | 6 | no | — |
| 385 | #562 | — | 3 | 6 | no | — |
| 386 | H(3,𝔽4) | — | 3 | 3 | no | — |
| 387 | #560 | — | 3 | 1 | no | — |
| 388 | #560 | — | 3 | 3 | no | — |
| 389 | #560 | — | 3 | 6 | no | — |
| 390 | #560 | — | 3 | 6 | no | — |
| 391 | #560 | — | 3 | 6 | no | — |
| 392 | #559 | — | 3 | 6 | no | — |
| 393 | #559 | — | 3 | 6 | no | — |
| 394 | #557 | — | 3 | 6 | no | — |
| 395 | #557 | — | 3 | 2 | no | — |
| 396 | #556 | — | 3 | 6 | no | — |
| 397 | #556 | — | 3 | 6 | no | — |
| 398 | #555 | — | 3 | 6 | no | — |
| 399 | #555 | — | 3 | 6 | no | — |
| 400 | #554 | — | 3 | 6 | no | — |
| 401 | #554 | — | 3 | 12 | no | — |
| 402 | #553 | — | 3 | 12 | no | — |
| 403 | #553 | — | 3 | 6 | no | — |
| 404 | #553 | — | 3 | 6 | no | — |
| 405 | #553 | — | 3 | 12 | no | — |
| 406 | #552 | — | 3 | 6 | no | — |
| 407 | #552 | — | 3 | 6 | no | — |
| 408 | #552 | — | 3 | 6 | no | — |
| 409 | #552 | — | 3 | 6 | no | — |
| 410 | #551 | — | 3 | 6 | no | — |
| 411 | #551 | — | 3 | 6 | no | — |
| 412 | #550 | — | 3 | 2 | no | — |
| 413 | #550 | — | 3 | 6 | no | — |
| 414 | #550 | — | 3 | 6 | no | — |
| 415 | D4×Q8 | — | 3 | 2 | no | — |
| 416 | D4×Q8 | — | 3 | 2 | no | — |
| 417 | D4×Q8 | — | 3 | 6 | no | — |
| 418 | D4×Q8 | — | 3 | 6 | no | — |
| 419 | D4×Q8 | — | 3 | 6 | no | — |
| 420 | D4×Q8 | — | 3 | 6 | no | — |
| 421 | D4×Q8 | C2×D3 | 1 | 2 | yes | complemented |
| 422 | D4×Q8 | C2×D3 | 1 | 2 | yes | complemented |
| 423 | #548 | — | 3 | 2 | no | — |
| 424 | #548 | — | 3 | 6 | no | — |
| 425 | #548 | — | 3 | 6 | no | — |
| 426 | #548 | — | 3 | 2 | no | — |
| 427 | #548 | — | 3 | 6 | no | — |
| 428 | #548 | — | 3 | 2 | no | — |
| 429 | #548 | — | 3 | 6 | no | — |
| 430 | #548 | — | 3 | 6 | no | — |
| 431 | #548 | — | 3 | 2 | no | — |
| 432 | #548 | — | 3 | 6 | no | — |
| 433 | #547 | — | 3 | 6 | no | — |
| 434 | #547 | — | 3 | 6 | no | — |
| 435 | #547 | C2×D3 | 1 | 6 | yes | complemented |
| 436 | #547 | C2×D3 | 1 | 6 | yes | complemented |
| 437 | #546 | — | 3 | 6 | no | — |
| 438 | #546 | — | 3 | 6 | no | — |
| 439 | #544 | — | 3 | 12 | no | — |
| 440 | #542 | — | 3 | 12 | no | — |
| 441 | #542 | — | 3 | 12 | no | — |
| 442 | #542 | — | 3 | 6 | no | — |
| 443 | #542 | — | 3 | 6 | no | — |
| 444 | #541 | — | 3 | 6 | no | — |
| 445 | #541 | — | 3 | 6 | no | — |
| 446 | #541 | — | 3 | 6 | no | — |
| 447 | #540 | — | 3 | 12 | no | — |
| 448 | #540 | — | 3 | 12 | no | — |
| 449 | #540 | — | 3 | 6 | no | — |
| 450 | #539 | — | 3 | 12 | no | — |
| 451 | #539 | — | 3 | 12 | no | — |
| 452 | #539 | — | 3 | 12 | no | — |
| 453 | #538 | — | 3 | 12 | no | — |
| 454 | #538 | — | 3 | 12 | no | — |
| 455 | #537 | — | 3 | 6 | no | — |
| 456 | #537 | — | 3 | 6 | no | — |
| 457 | #537 | — | 3 | 6 | no | — |
| 458 | #536 | — | 3 | 3 | no | — |
| 459 | #536 | — | 3 | 3 | no | — |
| 460 | #536 | — | 3 | 6 | no | — |
| 461 | #536 | — | 3 | 6 | no | — |
| 462 | #536 | — | 3 | 6 | no | — |
| 463 | #536 | C2×D3 | 1 | 3 | yes | — |
| 464 | #536 | C2×D3 | 1 | 3 | yes | complemented |
| 465 | #535 | — | 3 | 3 | no | — |
| 466 | #535 | — | 3 | 3 | no | — |
| 467 | #533 | — | 3 | 6 | no | — |
| 468 | #532 | — | 3 | 6 | no | — |
| 469 | #532 | — | 3 | 6 | no | — |
| 470 | #532 | C2×D3 | 1 | 3 | yes | — |
| 471 | C2×C4⋊Q8 | C2×D3 | 1 | 3 | yes | complemented |
| 472 | #529 | — | 3 | 6 | no | — |
| 473 | #529 | — | 3 | 6 | no | — |
| 474 | #529 | — | 3 | 6 | no | — |
| 475 | #529 | — | 3 | 6 | no | — |
| 476 | #529 | — | 3 | 6 | no | — |
| 477 | #525 | — | 3 | 3 | no | — |
| 478 | #525 | — | 3 | 3 | no | — |
| 479 | #525 | — | 3 | 3 | no | — |
| 480 | #525 | — | 3 | 3 | no | — |
| 481 | #525 | — | 3 | 6 | no | — |
| 482 | #525 | — | 3 | 6 | no | — |
| 483 | #525 | — | 3 | 6 | no | — |
| 484 | C2×C22⋊Q8 | — | 3 | 6 | no | — |
| 485 | #520 | — | 3 | 2 | no | — |
| 486 | #519 | — | 3 | 1 | no | — |
| 487 | #519 | — | 3 | 1 | no | — |
| 488 | #519 | — | 3 | 2 | no | — |
| 489 | C4×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 490 | C2×C4×Q8 | — | 3 | 2 | no | — |
| 491 | C23×D3 | C24 | 1 | 3 | yes | — |
| 492 | C23×D3 | C24 | 1 | 1 | yes | characteristic |
| 493 | C3×#41 | — | 2 | 4 | no | — |
| 494 | C3×#41 | — | 4 | 6 | no | — |
| 495 | C3×#41 | — | 4 | 6 | no | — |
| 496 | C3×#41 | — | 4 | 6 | no | — |
| 497 | C3×#41 | — | 4 | 6 | no | — |
| 498 | C3×#41 | — | 4 | 12 | no | — |
| 499 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 500 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 501 | C2×C3×Q8 | — | 2 | 8 | no | — |
| 502 | C2×C3×Q8 | — | 4 | 6 | no | — |
| 503 | C2×C3×Q8 | — | 4 | 6 | no | — |
| 504 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 505 | C2×C3×Q8 | C24 | 1 | 6 | yes | — |
| 506 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 507 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 508 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 509 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 510 | C2×C3×D4 | C24 | 1 | 3 | yes | — |
| 511 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 512 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 513 | C2×C3×D4 | C24 | 1 | 3 | yes | — |
| 514 | C2×C3×D4 | C24 | 1 | 3 | yes | — |
| 515 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 516 | C2×C3×D4 | C24 | 1 | 6 | yes | — |
| 517 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 518 | C22×C3×C4 | C24 | 1 | 6 | yes | — |
| 519 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 520 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 521 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 522 | C22×C3×C4 | C24 | 1 | 6 | yes | — |
| 523 | C22×C3×C4 | C24 | 1 | 6 | yes | — |
| 524 | C22×C3×C4 | C24 | 1 | 6 | yes | — |
| 525 | C2×#67 | C24 | 1 | 6 | yes | — |
| 526 | C2×#67 | C24 | 1 | 6 | yes | — |
| 527 | C2×#67 | C24 | 1 | 2 | yes | — |
| 528 | C2×#67 | C24 | 1 | 2 | yes | — |
| 529 | C2×#67 | C24 | 1 | 6 | yes | — |
| 530 | C2×#67 | C24 | 1 | 6 | yes | — |
| 531 | C2×#67 | C24 | 1 | 2 | yes | — |
| 532 | C2×#67 | C24 | 1 | 6 | yes | — |
| 533 | C2×#67 | C24 | 1 | 12 | yes | — |
| 534 | C22×Dic3 | C24 | 1 | 6 | yes | — |
| 535 | C22×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 536 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 537 | C22×Dic3 | C24 | 1 | 3 | yes | — |
| 538 | #239 | — | 2 | 8 | no | — |
| 539 | #239 | — | 4 | 12 | no | — |
| 540 | #239 | — | 4 | 12 | no | — |
| 541 | D3×Q8 | — | 2 | 8 | no | — |
| 542 | D3×Q8 | — | 4 | 12 | no | — |
| 543 | D3×Q8 | — | 4 | 12 | no | — |
| 544 | #235 | — | 4 | 12 | no | — |
| 545 | #235 | — | 4 | 12 | no | — |
| 546 | C2×D12 | — | 4 | 6 | no | — |
| 547 | C2×D12 | C24 | 1 | 6 | yes | — |
| 548 | C2×D12 | C24 | 1 | 6 | yes | — |
| 549 | C2×D12 | C24 | 1 | 6 | yes | — |
| 550 | C2×D12 | C24 | 1 | 6 | yes | — |
| 551 | C2×C4×D3 | — | 4 | 6 | no | — |
| 552 | C2×C4×D3 | — | 4 | 6 | no | — |
| 553 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 554 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 555 | C2×C4×D3 | C24 | 1 | 12 | yes | — |
| 556 | C2×C4×D3 | C24 | 1 | 12 | yes | — |
| 557 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 558 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 559 | C2×Dic6 | — | 4 | 6 | no | — |
| 560 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 561 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 562 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 563 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 564 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 565 | C3×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 566 | C3×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 567 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 568 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 569 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 570 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 571 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 572 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 573 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 574 | C3×C42 | C24 | 1 | 6 | yes | — |
| 575 | C3×C42 | C24 | 1 | 3 | yes | — |
| 576 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 577 | #217 | C24 | 1 | 6 | yes | — |
| 578 | #217 | C24 | 1 | 2 | yes | — |
| 579 | #217 | C24 | 1 | 2 | yes | — |
| 580 | #217 | C24 | 1 | 6 | yes | — |
| 581 | #217 | C24 | 1 | 1 | yes | characteristic |
| 582 | #217 | C24 | 1 | 3 | yes | — |
| 583 | #217 | C24 | 1 | 3 | yes | — |
| 584 | #217 | C24 | 1 | 6 | yes | — |
| 585 | #217 | C24 | 1 | 12 | yes | — |
| 586 | #217 | C24 | 1 | 1 | yes | characteristic |
| 587 | #217 | C24 | 1 | 6 | yes | — |
| 588 | (C2×D3)⋊C4 | C24 | 1 | 2 | yes | — |
| 589 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 590 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 591 | (C2×D3)⋊C4 | C24 | 1 | 12 | yes | — |
| 592 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 593 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 594 | (C2×D3)⋊C4 | C24 | 1 | 2 | yes | — |
| 595 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 596 | (C2×D3)⋊C4 | C24 | 1 | 2 | yes | — |
| 597 | (C2×D3)⋊C4 | C24 | 1 | 12 | yes | — |
| 598 | (C2×D3)⋊C4 | C24 | 1 | 12 | yes | — |
| 599 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 600 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 601 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 602 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 603 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 604 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 605 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 606 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 607 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 608 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 609 | C4⋊Dic3 | C24 | 1 | 12 | yes | — |
| 610 | Dic3⋊C4 | C24 | 1 | 2 | yes | — |
| 611 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 612 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 613 | Dic3⋊C4 | C24 | 1 | 2 | yes | — |
| 614 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 615 | Dic3⋊C4 | C24 | 1 | 12 | yes | — |
| 616 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 617 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 618 | Dic3⋊C4 | C24 | 1 | 2 | yes | — |
| 619 | Dic3⋊C4 | C24 | 1 | 12 | yes | — |
| 620 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 621 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 622 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 623 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 624 | Dic3⋊C4 | C24 | 1 | 12 | yes | — |
| 625 | C4×Dic3 | C24 | 1 | 12 | yes | — |
| 626 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 627 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 628 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 629 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 630 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 631 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 632 | 2−1+4 | — | 4 | 4 | no | — |
| 633 | 2−1+4 | — | 4 | 4 | no | — |
| 634 | 2−1+4 | — | 12 | 8 | no | — |
| 635 | C2×#41 | — | 3 | 2 | no | — |
| 636 | C2×#41 | — | 3 | 6 | no | — |
| 637 | C2×#41 | — | 3 | 6 | no | — |
| 638 | C2×#41 | — | 3 | 6 | no | — |
| 639 | C2×#41 | — | 3 | 6 | no | — |
| 640 | C2×#41 | — | 12 | 4 | no | — |
| 641 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 642 | C2×#41 | C22×D3 | 1 | 3 | yes | — |
| 643 | C2×#41 | C22×D3 | 1 | 3 | yes | — |
| 644 | C2×#41 | C22×D3 | 1 | 3 | yes | — |
| 645 | C2×#41 | C22×D3 | 1 | 3 | yes | — |
| 646 | C2×#41 | C22×D3 | 1 | 6 | yes | — |
| 647 | C22×Q8 | — | 3 | 2 | no | — |
| 648 | C22×Q8 | — | 3 | 6 | no | — |
| 649 | C22×Q8 | — | 3 | 6 | no | — |
| 650 | C22×Q8 | — | 3 | 3 | no | — |
| 651 | C22×Q8 | — | 12 | 4 | no | — |
| 652 | C22×Q8 | C22×D3 | 1 | 2 | yes | — |
| 653 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 654 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 655 | C22×Q8 | C22×D3 | 1 | 3 | yes | — |
| 656 | C22×Q8 | C22×D3 | 1 | 3 | yes | — |
| 657 | C22×D4 | — | 3 | 3 | no | — |
| 658 | C23×C4 | — | 3 | 3 | no | — |
| 659 | C23×C4 | — | 3 | 3 | no | — |
| 660 | C4⋊Q8 | — | 3 | 6 | no | — |
| 661 | C4⋊Q8 | — | 3 | 6 | no | — |
| 662 | C4⋊Q8 | — | 3 | 6 | no | — |
| 663 | C4⋊Q8 | — | 3 | 6 | no | — |
| 664 | C4⋊Q8 | — | 3 | 6 | no | — |
| 665 | C4⋊Q8 | — | 3 | 12 | no | — |
| 666 | C4⋊Q8 | C22×D3 | 1 | 3 | yes | — |
| 667 | C4⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 668 | C4⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 669 | C4⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 670 | #127 | — | 3 | 6 | no | — |
| 671 | #127 | — | 3 | 6 | no | — |
| 672 | #127 | — | 3 | 6 | no | — |
| 673 | #127 | C22×D3 | 1 | 1 | yes | characteristic |
| 674 | #126 | — | 3 | 12 | no | — |
| 675 | #126 | — | 3 | 6 | no | — |
| 676 | #126 | — | 3 | 6 | no | — |
| 677 | #126 | — | 3 | 12 | no | — |
| 678 | #126 | — | 3 | 12 | no | — |
| 679 | #126 | — | 3 | 6 | no | — |
| 680 | #126 | — | 3 | 6 | no | — |
| 681 | #126 | — | 3 | 12 | no | — |
| 682 | #126 | — | 3 | 12 | no | — |
| 683 | #126 | — | 3 | 2 | no | — |
| 684 | #126 | — | 3 | 6 | no | — |
| 685 | #125 | — | 3 | 6 | no | — |
| 686 | #125 | — | 3 | 6 | no | — |
| 687 | #125 | — | 3 | 6 | no | — |
| 688 | #125 | — | 3 | 12 | no | — |
| 689 | #125 | — | 3 | 12 | no | — |
| 690 | #125 | — | 3 | 12 | no | — |
| 691 | #125 | — | 3 | 12 | no | — |
| 692 | #125 | — | 3 | 6 | no | — |
| 693 | #125 | — | 3 | 6 | no | — |
| 694 | #124 | — | 3 | 6 | no | — |
| 695 | #124 | — | 3 | 6 | no | — |
| 696 | #124 | — | 3 | 6 | no | — |
| 697 | #124 | — | 3 | 6 | no | — |
| 698 | #124 | — | 3 | 6 | no | — |
| 699 | #124 | — | 3 | 6 | no | — |
| 700 | #124 | — | 3 | 6 | no | — |
| 701 | #124 | — | 3 | 6 | no | — |
| 702 | #124 | — | 3 | 6 | no | — |
| 703 | #124 | — | 3 | 12 | no | — |
| 704 | #124 | — | 3 | 12 | no | — |
| 705 | #124 | — | 3 | 6 | no | — |
| 706 | #124 | — | 3 | 6 | no | — |
| 707 | #124 | C22×D3 | 1 | 3 | yes | — |
| 708 | #124 | C22×D3 | 1 | 3 | yes | — |
| 709 | #123 | — | 3 | 1 | no | — |
| 710 | #123 | — | 3 | 3 | no | — |
| 711 | #123 | — | 3 | 6 | no | — |
| 712 | #123 | — | 3 | 3 | no | — |
| 713 | #123 | — | 3 | 3 | no | — |
| 714 | #123 | — | 3 | 2 | no | — |
| 715 | #123 | — | 3 | 6 | no | — |
| 716 | #123 | — | 3 | 12 | no | — |
| 717 | #123 | — | 3 | 6 | no | — |
| 718 | #123 | — | 3 | 6 | no | — |
| 719 | #123 | — | 3 | 12 | no | — |
| 720 | #123 | — | 3 | 6 | no | — |
| 721 | #123 | — | 3 | 6 | no | — |
| 722 | #123 | — | 3 | 12 | no | — |
| 723 | #123 | — | 3 | 12 | no | — |
| 724 | #123 | — | 3 | 6 | no | — |
| 725 | #123 | — | 3 | 6 | no | — |
| 726 | #123 | — | 3 | 6 | no | — |
| 727 | #123 | — | 3 | 6 | no | — |
| 728 | #123 | — | 3 | 12 | no | — |
| 729 | #123 | — | 3 | 12 | no | — |
| 730 | #123 | C22×D3 | 1 | 6 | yes | — |
| 731 | #123 | C22×D3 | 1 | 6 | yes | — |
| 732 | #123 | C22×D3 | 1 | 12 | yes | — |
| 733 | C22⋊Q8 | — | 3 | 6 | no | — |
| 734 | C22⋊Q8 | — | 3 | 6 | no | — |
| 735 | C22⋊Q8 | — | 3 | 6 | no | — |
| 736 | C22⋊Q8 | — | 3 | 6 | no | — |
| 737 | C22⋊Q8 | — | 3 | 6 | no | — |
| 738 | C22⋊Q8 | — | 3 | 6 | no | — |
| 739 | C22⋊Q8 | — | 3 | 12 | no | — |
| 740 | C22⋊Q8 | — | 3 | 6 | no | — |
| 741 | C22⋊Q8 | — | 3 | 6 | no | — |
| 742 | C22⋊Q8 | — | 3 | 6 | no | — |
| 743 | C22⋊Q8 | — | 3 | 6 | no | — |
| 744 | C22⋊Q8 | — | 3 | 12 | no | — |
| 745 | C22⋊Q8 | — | 3 | 12 | no | — |
| 746 | C22⋊Q8 | — | 3 | 12 | no | — |
| 747 | C22⋊Q8 | — | 3 | 6 | no | — |
| 748 | C22⋊Q8 | — | 3 | 6 | no | — |
| 749 | C22⋊Q8 | — | 3 | 6 | no | — |
| 750 | C22⋊Q8 | — | 3 | 12 | no | — |
| 751 | C22⋊Q8 | — | 3 | 12 | no | — |
| 752 | C22⋊Q8 | — | 3 | 12 | no | — |
| 753 | C22⋊Q8 | — | 3 | 6 | no | — |
| 754 | C22⋊Q8 | — | 3 | 6 | no | — |
| 755 | C22⋊Q8 | — | 3 | 6 | no | — |
| 756 | C22⋊Q8 | — | 3 | 6 | no | — |
| 757 | C22⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 758 | C22⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 759 | C22⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 760 | C22⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 761 | #121 | — | 3 | 2 | no | — |
| 762 | #121 | — | 3 | 6 | no | — |
| 763 | #121 | — | 3 | 6 | no | — |
| 764 | #121 | — | 3 | 6 | no | — |
| 765 | #121 | — | 3 | 6 | no | — |
| 766 | #121 | — | 3 | 6 | no | — |
| 767 | #121 | — | 3 | 2 | no | — |
| 768 | #121 | — | 3 | 6 | no | — |
| 769 | #121 | — | 3 | 2 | no | — |
| 770 | #121 | — | 3 | 6 | no | — |
| 771 | #121 | — | 3 | 12 | no | — |
| 772 | #121 | — | 3 | 6 | no | — |
| 773 | #121 | — | 3 | 6 | no | — |
| 774 | #121 | — | 3 | 12 | no | — |
| 775 | #121 | — | 3 | 6 | no | — |
| 776 | #121 | — | 3 | 6 | no | — |
| 777 | #121 | — | 3 | 6 | no | — |
| 778 | #121 | — | 3 | 6 | no | — |
| 779 | #121 | — | 3 | 12 | no | — |
| 780 | #121 | — | 3 | 12 | no | — |
| 781 | #121 | — | 3 | 6 | no | — |
| 782 | #121 | — | 3 | 12 | no | — |
| 783 | #121 | — | 3 | 6 | no | — |
| 784 | #121 | — | 3 | 6 | no | — |
| 785 | #121 | — | 3 | 12 | no | — |
| 786 | #121 | — | 3 | 12 | no | — |
| 787 | #121 | C22×D3 | 1 | 6 | yes | — |
| 788 | #121 | C22×D3 | 1 | 6 | yes | — |
| 789 | #120 | — | 3 | 3 | no | — |
| 790 | #120 | — | 3 | 2 | no | — |
| 791 | #120 | — | 3 | 1 | no | — |
| 792 | #120 | — | 3 | 6 | no | — |
| 793 | #120 | — | 3 | 3 | no | — |
| 794 | #120 | — | 3 | 3 | no | — |
| 795 | #120 | — | 3 | 6 | no | — |
| 796 | #120 | — | 3 | 6 | no | — |
| 797 | #120 | — | 3 | 6 | no | — |
| 798 | C4×Q8 | — | 3 | 2 | no | — |
| 799 | C4×Q8 | — | 3 | 2 | no | — |
| 800 | C4×Q8 | — | 3 | 6 | no | — |
| 801 | C4×Q8 | — | 3 | 6 | no | — |
| 802 | C4×Q8 | — | 3 | 6 | no | — |
| 803 | C4×Q8 | — | 3 | 6 | no | — |
| 804 | C4×Q8 | — | 3 | 6 | no | — |
| 805 | C4×Q8 | — | 3 | 12 | no | — |
| 806 | C4×Q8 | — | 3 | 6 | no | — |
| 807 | C4×Q8 | — | 3 | 6 | no | — |
| 808 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 809 | C4×D4 | — | 3 | 6 | no | — |
| 810 | C4×D4 | — | 3 | 6 | no | — |
| 811 | C4×D4 | — | 3 | 6 | no | — |
| 812 | C4×D4 | — | 3 | 6 | no | — |
| 813 | C4×D4 | — | 3 | 6 | no | — |
| 814 | C4×D4 | — | 3 | 6 | no | — |
| 815 | C4×D4 | — | 3 | 12 | no | — |
| 816 | C4×D4 | — | 3 | 12 | no | — |
| 817 | C4×D4 | — | 3 | 12 | no | — |
| 818 | C4×D4 | — | 3 | 12 | no | — |
| 819 | C4×D4 | — | 3 | 12 | no | — |
| 820 | C4×D4 | — | 3 | 6 | no | — |
| 821 | C4×D4 | — | 3 | 12 | no | — |
| 822 | C4×D4 | — | 3 | 12 | no | — |
| 823 | C4×D4 | — | 3 | 12 | no | — |
| 824 | C4×D4 | — | 3 | 6 | no | — |
| 825 | C4×D4 | — | 3 | 6 | no | — |
| 826 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 827 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 828 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 829 | #117 | — | 3 | 3 | no | — |
| 830 | #117 | — | 3 | 3 | no | — |
| 831 | #117 | — | 3 | 3 | no | — |
| 832 | #117 | — | 3 | 3 | no | — |
| 833 | #117 | — | 3 | 6 | no | — |
| 834 | #117 | — | 3 | 12 | no | — |
| 835 | #117 | — | 3 | 12 | no | — |
| 836 | #117 | — | 3 | 6 | no | — |
| 837 | #117 | — | 3 | 6 | no | — |
| 838 | #117 | — | 3 | 12 | no | — |
| 839 | #117 | C22×D3 | 1 | 3 | yes | — |
| 840 | C2×C4⋊C4 | — | 3 | 6 | no | — |
| 841 | C2×C4⋊C4 | — | 3 | 6 | no | — |
| 842 | C2×C4⋊C4 | — | 3 | 12 | no | — |
| 843 | C2×C4⋊C4 | C22×D3 | 1 | 12 | yes | — |
| 844 | C2×C22⋊C4 | — | 3 | 12 | no | — |
| 845 | C2×C42 | — | 3 | 6 | no | — |
| 846 | C2×C42 | C22×D3 | 1 | 3 | yes | — |
| 847 | C23×C3 | C25 | 1 | 1 | yes | characteristic |
| 848 | C23×C3 | C25 | 1 | 3 | yes | — |
| 849 | C23×C3 | C25 | 1 | 1 | yes | characteristic |
| 850 | C23×C3 | C25 | 1 | 2 | yes | — |
| 851 | C22×D3 | — | 4 | 1 | no | — |
| 852 | C22×D3 | — | 4 | 2 | no | — |
| 853 | C22×D3 | — | 4 | 3 | no | — |
| 854 | C22×D3 | — | 4 | 6 | no | — |
| 855 | C22×D3 | C25 | 1 | 2 | yes | — |
| 856 | C22×D3 | C25 | 1 | 6 | yes | — |
| 857 | C3×Q8 | — | 2 | 6 | no | — |
| 858 | C3×Q8 | — | 2 | 12 | no | — |
| 859 | C3×Q8 | — | 2 | 6 | no | — |
| 860 | C3×Q8 | — | 4 | 3 | no | — |
| 861 | C3×Q8 | — | 4 | 3 | no | — |
| 862 | C3×Q8 | H(5,𝔽2) | 1 | 4 | yes | — |
| 863 | C3×D4 | — | 2 | 6 | no | — |
| 864 | C3×D4 | — | 4 | 2 | no | — |
| 865 | C3×D4 | — | 4 | 2 | no | — |
| 866 | C3×D4 | — | 4 | 3 | no | — |
| 867 | C3×D4 | — | 4 | 6 | no | — |
| 868 | C3×D4 | — | 4 | 3 | no | — |
| 869 | C3×D4 | — | 4 | 1 | no | — |
| 870 | C3×D4 | — | 4 | 1 | no | — |
| 871 | C2×C3×C4 | — | 2 | 6 | no | — |
| 872 | C2×C3×C4 | — | 2 | 6 | no | — |
| 873 | C2×C3×C4 | — | 2 | 12 | no | — |
| 874 | C2×C3×C4 | — | 2 | 6 | no | — |
| 875 | C2×C3×C4 | — | 4 | 6 | no | — |
| 876 | C2×C3×C4 | — | 4 | 6 | no | — |
| 877 | C2×C3×C4 | — | 4 | 6 | no | — |
| 878 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 879 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 880 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 881 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 882 | C2×C3×C4 | C25 | 1 | 2 | yes | — |
| 883 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 884 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 885 | #67 | — | 4 | 6 | no | — |
| 886 | #67 | — | 4 | 2 | no | — |
| 887 | #67 | — | 4 | 2 | no | — |
| 888 | #67 | — | 4 | 6 | no | — |
| 889 | #67 | — | 4 | 12 | no | — |
| 890 | #67 | — | 4 | 6 | no | — |
| 891 | #67 | — | 4 | 6 | no | — |
| 892 | #67 | — | 4 | 6 | no | — |
| 893 | #67 | — | 4 | 2 | no | — |
| 894 | C2×Dic3 | — | 4 | 3 | no | — |
| 895 | C2×Dic3 | — | 4 | 1 | no | — |
| 896 | C2×Dic3 | — | 4 | 2 | no | — |
| 897 | C2×Dic3 | — | 4 | 6 | no | — |
| 898 | C2×Dic3 | C25 | 1 | 2 | yes | — |
| 899 | C2×Dic3 | C25 | 1 | 6 | yes | — |
| 900 | C2×Dic3 | C25 | 1 | 2 | yes | — |
| 901 | C2×Dic3 | C25 | 1 | 6 | yes | — |
| 902 | C2×Dic3 | C25 | 1 | 6 | yes | — |
| 903 | C2×Dic3 | C25 | 1 | 2 | yes | — |
| 904 | D12 | — | 2 | 12 | no | — |
| 905 | D12 | — | 4 | 6 | no | — |
| 906 | D12 | — | 4 | 6 | no | — |
| 907 | D12 | — | 4 | 6 | no | — |
| 908 | C4×D3 | — | 2 | 12 | no | — |
| 909 | C4×D3 | — | 2 | 12 | no | — |
| 910 | C4×D3 | — | 4 | 6 | no | — |
| 911 | C4×D3 | — | 4 | 6 | no | — |
| 912 | C4×D3 | — | 4 | 12 | no | — |
| 913 | C4×D3 | — | 4 | 12 | no | — |
| 914 | Dic6 | — | 2 | 12 | no | — |
| 915 | Dic6 | — | 4 | 6 | no | — |
| 916 | Dic6 | — | 4 | 6 | no | — |
| 917 | Dic6 | — | 4 | 6 | no | — |
| 918 | C24 | — | 3 | 3 | no | — |
| 919 | C24 | — | 3 | 1 | no | — |
| 920 | #41 | — | 2 | 4 | no | — |
| 921 | #41 | — | 4 | 6 | no | — |
| 922 | #41 | — | 4 | 6 | no | — |
| 923 | #41 | — | 4 | 6 | no | — |
| 924 | #41 | — | 4 | 6 | no | — |
| 925 | #41 | — | 4 | 12 | no | — |
| 926 | #41 | — | 6 | 8 | no | — |
| 927 | #41 | — | 12 | 12 | no | — |
| 928 | #41 | — | 12 | 12 | no | — |
| 929 | #41 | — | 12 | 12 | no | — |
| 930 | #41 | — | 12 | 12 | no | — |
| 931 | C2×Q8 | — | 2 | 4 | no | — |
| 932 | C2×Q8 | — | 2 | 4 | no | — |
| 933 | C2×Q8 | — | 2 | 8 | no | — |
| 934 | C2×Q8 | — | 3 | 6 | no | — |
| 935 | C2×Q8 | — | 3 | 6 | no | — |
| 936 | C2×Q8 | — | 3 | 6 | no | — |
| 937 | C2×Q8 | — | 3 | 6 | no | — |
| 938 | C2×Q8 | — | 4 | 6 | no | — |
| 939 | C2×Q8 | — | 4 | 6 | no | — |
| 940 | C2×Q8 | — | 6 | 8 | no | — |
| 941 | C2×Q8 | — | 12 | 6 | no | — |
| 942 | C2×Q8 | — | 12 | 12 | no | — |
| 943 | C2×Q8 | — | 12 | 12 | no | — |
| 944 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 945 | C2×Q8 | C23×D3 | 1 | 6 | yes | — |
| 946 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 947 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 948 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 949 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 950 | C2×D4 | — | 3 | 2 | no | — |
| 951 | C2×D4 | — | 3 | 6 | no | — |
| 952 | C2×D4 | — | 3 | 6 | no | — |
| 953 | C2×D4 | — | 3 | 6 | no | — |
| 954 | C2×D4 | — | 3 | 12 | no | — |
| 955 | C2×D4 | — | 3 | 6 | no | — |
| 956 | C2×D4 | — | 3 | 2 | no | — |
| 957 | C2×D4 | — | 3 | 2 | no | — |
| 958 | C2×D4 | — | 3 | 6 | no | — |
| 959 | C2×D4 | — | 3 | 6 | no | — |
| 960 | C2×D4 | — | 3 | 6 | no | — |
| 961 | C2×D4 | — | 3 | 6 | no | — |
| 962 | C2×D4 | — | 3 | 6 | no | — |
| 963 | C2×D4 | — | 12 | 6 | no | — |
| 964 | C2×D4 | C23×D3 | 1 | 3 | yes | — |
| 965 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 966 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 967 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 968 | C2×D4 | C23×D3 | 1 | 3 | yes | — |
| 969 | C2×D4 | C23×D3 | 1 | 3 | yes | — |
| 970 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 971 | C2×D4 | C23×D3 | 1 | 6 | yes | — |
| 972 | C22×C4 | — | 3 | 2 | no | — |
| 973 | C22×C4 | — | 3 | 6 | no | — |
| 974 | C22×C4 | — | 3 | 3 | no | — |
| 975 | C22×C4 | — | 3 | 1 | no | — |
| 976 | C22×C4 | — | 3 | 6 | no | — |
| 977 | C22×C4 | — | 3 | 6 | no | — |
| 978 | C22×C4 | — | 3 | 12 | no | — |
| 979 | C22×C4 | — | 3 | 12 | no | — |
| 980 | C22×C4 | — | 3 | 6 | no | — |
| 981 | C22×C4 | — | 3 | 6 | no | — |
| 982 | C22×C4 | — | 12 | 6 | no | — |
| 983 | C22×C4 | — | 12 | 6 | no | — |
| 984 | C22×C4 | C23×D3 | 1 | 6 | yes | — |
| 985 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 986 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 987 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 988 | C22×C4 | C23×D3 | 1 | 6 | yes | — |
| 989 | C22×C4 | C23×D3 | 1 | 6 | yes | — |
| 990 | C22×C4 | C23×D3 | 1 | 6 | yes | — |
| 991 | C4⋊C4 | — | 3 | 6 | no | — |
| 992 | C4⋊C4 | — | 3 | 6 | no | — |
| 993 | C4⋊C4 | — | 3 | 6 | no | — |
| 994 | C4⋊C4 | — | 3 | 6 | no | — |
| 995 | C4⋊C4 | — | 3 | 6 | no | — |
| 996 | C4⋊C4 | — | 3 | 12 | no | — |
| 997 | C4⋊C4 | — | 3 | 12 | no | — |
| 998 | C4⋊C4 | — | 3 | 2 | no | — |
| 999 | C4⋊C4 | — | 3 | 6 | no | — |
| 1000 | C4⋊C4 | — | 3 | 12 | no | — |
| 1001 | C4⋊C4 | — | 3 | 6 | no | — |
| 1002 | C4⋊C4 | — | 3 | 6 | no | — |
| 1003 | C4⋊C4 | — | 3 | 6 | no | — |
| 1004 | C4⋊C4 | — | 3 | 6 | no | — |
| 1005 | C4⋊C4 | — | 3 | 6 | no | — |
| 1006 | C4⋊C4 | — | 3 | 6 | no | — |
| 1007 | C4⋊C4 | — | 3 | 2 | no | — |
| 1008 | C4⋊C4 | — | 3 | 6 | no | — |
| 1009 | C4⋊C4 | — | 3 | 12 | no | — |
| 1010 | C4⋊C4 | — | 3 | 6 | no | — |
| 1011 | C4⋊C4 | — | 3 | 6 | no | — |
| 1012 | C4⋊C4 | — | 3 | 2 | no | — |
| 1013 | C4⋊C4 | C23×D3 | 1 | 12 | yes | — |
| 1014 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1015 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1016 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1017 | C4⋊C4 | C23×D3 | 1 | 12 | yes | — |
| 1018 | C22⋊C4 | — | 3 | 6 | no | — |
| 1019 | C22⋊C4 | — | 3 | 1 | no | — |
| 1020 | C22⋊C4 | — | 3 | 3 | no | — |
| 1021 | C22⋊C4 | — | 3 | 3 | no | — |
| 1022 | C22⋊C4 | — | 3 | 1 | no | — |
| 1023 | C22⋊C4 | — | 3 | 6 | no | — |
| 1024 | C22⋊C4 | — | 3 | 2 | no | — |
| 1025 | C22⋊C4 | — | 3 | 6 | no | — |
| 1026 | C22⋊C4 | — | 3 | 12 | no | — |
| 1027 | C22⋊C4 | — | 3 | 2 | no | — |
| 1028 | C22⋊C4 | — | 3 | 6 | no | — |
| 1029 | C22⋊C4 | — | 3 | 12 | no | — |
| 1030 | C22⋊C4 | — | 3 | 12 | no | — |
| 1031 | C22⋊C4 | — | 3 | 2 | no | — |
| 1032 | C22⋊C4 | — | 3 | 6 | no | — |
| 1033 | C22⋊C4 | — | 3 | 6 | no | — |
| 1034 | C22⋊C4 | — | 3 | 6 | no | — |
| 1035 | C22⋊C4 | — | 3 | 6 | no | — |
| 1036 | C22⋊C4 | — | 3 | 6 | no | — |
| 1037 | C22⋊C4 | — | 3 | 6 | no | — |
| 1038 | C22⋊C4 | — | 3 | 6 | no | — |
| 1039 | C22⋊C4 | — | 3 | 12 | no | — |
| 1040 | C22⋊C4 | — | 3 | 2 | no | — |
| 1041 | C22⋊C4 | — | 3 | 6 | no | — |
| 1042 | C22⋊C4 | — | 3 | 6 | no | — |
| 1043 | C22⋊C4 | — | 3 | 2 | no | — |
| 1044 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1045 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1046 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1047 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1048 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1049 | C42 | — | 3 | 6 | no | — |
| 1050 | C42 | — | 3 | 6 | no | — |
| 1051 | C42 | — | 3 | 6 | no | — |
| 1052 | C42 | — | 3 | 6 | no | — |
| 1053 | C42 | — | 3 | 6 | no | — |
| 1054 | C42 | — | 3 | 12 | no | — |
| 1055 | C42 | — | 3 | 6 | no | — |
| 1056 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 1057 | C42 | C23×D3 | 1 | 3 | yes | — |
| 1058 | C42 | C23×D3 | 1 | 6 | yes | — |
| 1059 | C22×C3 | — | 2 | 1 | no | — |
| 1060 | C22×C3 | — | 2 | 1 | no | — |
| 1061 | C22×C3 | — | 2 | 2 | no | — |
| 1062 | C22×C3 | — | 2 | 3 | no | — |
| 1063 | C22×C3 | — | 2 | 2 | no | — |
| 1064 | C22×C3 | — | 2 | 2 | no | — |
| 1065 | C22×C3 | — | 2 | 6 | no | — |
| 1066 | C22×C3 | — | 2 | 2 | no | — |
| 1067 | C22×C3 | — | 2 | 2 | no | — |
| 1068 | C22×C3 | C26 | 1 | 1 | yes | characteristic |
| 1069 | C2×D3 | — | 2 | 2 | no | — |
| 1070 | C2×D3 | — | 2 | 6 | no | — |
| 1071 | C2×D3 | — | 2 | 6 | no | — |
| 1072 | C2×D3 | — | 2 | 2 | no | — |
| 1073 | C2×D3 | — | 2 | 6 | no | — |
| 1074 | C2×D3 | — | 2 | 2 | no | — |
| 1075 | C2×D3 | — | 4 | 4 | no | — |
| 1076 | C2×D3 | — | 8 | 6 | no | — |
| 1077 | C3×C4 | — | 2 | 3 | no | — |
| 1078 | C3×C4 | — | 2 | 6 | no | — |
| 1079 | C3×C4 | — | 2 | 3 | no | — |
| 1080 | C3×C4 | — | 2 | 1 | no | — |
| 1081 | C3×C4 | — | 2 | 6 | no | — |
| 1082 | C3×C4 | — | 2 | 2 | no | — |
| 1083 | C3×C4 | C2×H(5,𝔽2) | 1 | 6 | yes | — |
| 1084 | Dic3 | — | 2 | 6 | no | — |
| 1085 | Dic3 | — | 2 | 2 | no | — |
| 1086 | Dic3 | — | 2 | 2 | no | — |
| 1087 | Dic3 | — | 2 | 6 | no | — |
| 1088 | Dic3 | — | 2 | 6 | no | — |
| 1089 | Dic3 | — | 2 | 2 | no | — |
| 1090 | C23 | — | 3 | 2 | no | — |
| 1091 | C23 | — | 3 | 6 | no | — |
| 1092 | C23 | — | 12 | 1 | no | — |
| 1093 | C23 | — | 12 | 2 | no | — |
| 1094 | C23 | — | 12 | 3 | no | — |
| 1095 | C23 | — | 12 | 6 | no | — |
| 1096 | C23 | C24×D3 | 1 | 1 | yes | characteristic |
| 1097 | C23 | C24×D3 | 1 | 3 | yes | — |
| 1098 | C23 | C24×D3 | 1 | 1 | yes | characteristic |
| 1099 | C23 | C24×D3 | 1 | 2 | yes | — |
| 1100 | Q8 | — | 2 | 6 | no | — |
| 1101 | Q8 | — | 2 | 12 | no | — |
| 1102 | Q8 | — | 2 | 6 | no | — |
| 1103 | Q8 | — | 4 | 3 | no | — |
| 1104 | Q8 | — | 4 | 3 | no | — |
| 1105 | Q8 | — | 6 | 12 | no | — |
| 1106 | Q8 | — | 12 | 6 | no | — |
| 1107 | Q8 | — | 12 | 6 | no | — |
| 1108 | Q8 | — | 12 | 6 | no | — |
| 1109 | Q8 | #1004 | 1 | 4 | yes | — |
| 1110 | D4 | — | 2 | 6 | no | — |
| 1111 | D4 | — | 4 | 1 | no | — |
| 1112 | D4 | — | 4 | 1 | no | — |
| 1113 | D4 | — | 4 | 3 | no | — |
| 1114 | D4 | — | 4 | 6 | no | — |
| 1115 | D4 | — | 4 | 3 | no | — |
| 1116 | D4 | — | 4 | 2 | no | — |
| 1117 | D4 | — | 4 | 2 | no | — |
| 1118 | D4 | — | 6 | 12 | no | — |
| 1119 | D4 | — | 12 | 6 | no | — |
| 1120 | D4 | — | 12 | 6 | no | — |
| 1121 | D4 | — | 12 | 6 | no | — |
| 1122 | D4 | — | 12 | 2 | no | — |
| 1123 | D4 | — | 12 | 6 | no | — |
| 1124 | D4 | — | 12 | 6 | no | — |
| 1125 | D4 | — | 12 | 6 | no | — |
| 1126 | D4 | — | 12 | 6 | no | — |
| 1127 | D4 | — | 12 | 2 | no | — |
| 1128 | D4 | — | 12 | 12 | no | — |
| 1129 | D4 | — | 12 | 6 | no | — |
| 1130 | D4 | — | 12 | 2 | no | — |
| 1131 | C2×C4 | — | 2 | 6 | no | — |
| 1132 | C2×C4 | — | 2 | 6 | no | — |
| 1133 | C2×C4 | — | 2 | 12 | no | — |
| 1134 | C2×C4 | — | 2 | 6 | no | — |
| 1135 | C2×C4 | — | 3 | 2 | no | — |
| 1136 | C2×C4 | — | 3 | 6 | no | — |
| 1137 | C2×C4 | — | 3 | 2 | no | — |
| 1138 | C2×C4 | — | 3 | 6 | no | — |
| 1139 | C2×C4 | — | 3 | 6 | no | — |
| 1140 | C2×C4 | — | 3 | 2 | no | — |
| 1141 | C2×C4 | — | 4 | 6 | no | — |
| 1142 | C2×C4 | — | 4 | 6 | no | — |
| 1143 | C2×C4 | — | 4 | 6 | no | — |
| 1144 | C2×C4 | — | 6 | 12 | no | — |
| 1145 | C2×C4 | — | 6 | 12 | no | — |
| 1146 | C2×C4 | — | 12 | 6 | no | — |
| 1147 | C2×C4 | — | 12 | 6 | no | — |
| 1148 | C2×C4 | — | 12 | 12 | no | — |
| 1149 | C2×C4 | — | 12 | 12 | no | — |
| 1150 | C2×C4 | — | 12 | 1 | no | — |
| 1151 | C2×C4 | — | 12 | 3 | no | — |
| 1152 | C2×C4 | — | 12 | 6 | no | — |
| 1153 | C2×C4 | — | 12 | 2 | no | — |
| 1154 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 1155 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1156 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 1157 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1158 | C2×C4 | C24×D3 | 1 | 2 | yes | — |
| 1159 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1160 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1161 | C2×C3 | — | 4 | 1 | no | — |
| 1162 | C2×C3 | — | 4 | 1 | no | — |
| 1163 | C2×C3 | — | 4 | 2 | no | — |
| 1164 | C2×C3 | — | 4 | 3 | no | — |
| 1165 | C2×C3 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1166 | C2×C3 | 2−1+6 | 1 | 2 | yes | — |
| 1167 | D3 | — | 4 | 2 | no | — |
| 1168 | D3 | — | 4 | 6 | no | — |
| 1169 | C22 | — | 2 | 1 | no | — |
| 1170 | C22 | — | 2 | 1 | no | — |
| 1171 | C22 | — | 2 | 2 | no | — |
| 1172 | C22 | — | 2 | 3 | no | — |
| 1173 | C22 | — | 2 | 6 | no | — |
| 1174 | C22 | — | 2 | 2 | no | — |
| 1175 | C22 | — | 2 | 2 | no | — |
| 1176 | C22 | — | 2 | 2 | no | — |
| 1177 | C22 | — | 2 | 2 | no | — |
| 1178 | C22 | — | 6 | 2 | no | — |
| 1179 | C22 | — | 6 | 6 | no | — |
| 1180 | C22 | — | 6 | 6 | no | — |
| 1181 | C22 | — | 6 | 2 | no | — |
| 1182 | C22 | — | 6 | 2 | no | — |
| 1183 | C22 | — | 6 | 6 | no | — |
| 1184 | C22 | — | 12 | 4 | no | — |
| 1185 | C22 | — | 24 | 6 | no | — |
| 1186 | C22 | C25×D3 | 1 | 1 | yes | characteristic |
| 1187 | C4 | — | 2 | 1 | no | — |
| 1188 | C4 | — | 2 | 3 | no | — |
| 1189 | C4 | — | 2 | 6 | no | — |
| 1190 | C4 | — | 2 | 3 | no | — |
| 1191 | C4 | — | 2 | 2 | no | — |
| 1192 | C4 | — | 2 | 6 | no | — |
| 1193 | C4 | — | 6 | 2 | no | — |
| 1194 | C4 | — | 6 | 6 | no | — |
| 1195 | C4 | — | 6 | 6 | no | — |
| 1196 | C4 | — | 6 | 2 | no | — |
| 1197 | C4 | — | 6 | 6 | no | — |
| 1198 | C4 | — | 6 | 2 | no | — |
| 1199 | C4 | C2×#1004 | 1 | 6 | yes | — |
| 1200 | C3 | #63044 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1201 | C2 | — | 4 | 1 | no | — |
| 1202 | C2 | — | 4 | 1 | no | — |
| 1203 | C2 | — | 4 | 2 | no | — |
| 1204 | C2 | — | 4 | 3 | no | — |
| 1205 | C2 | — | 12 | 2 | no | — |
| 1206 | C2 | — | 12 | 6 | no | — |
| 1207 | C2 | C22×#1004 | 1 | 1 | yes | characteristic |
| 1208 | C2 | #87571 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C25×D3 |
| commutator, socle, cosocle | C22×C3 | C26 |
| Fitting | C3×#3499 | C2 |
| hypercenter | #3499 | D3 |
| hypocenter | C3 | #63044 |
| LCS | G ▷ C22×C3 ▷ C3 | |
| UCS | C1 ◁ C22 ◁ #3499 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×#3499 | C2 | semidirect |
| 2. #87294 | C2 | semidirect |
| 3. #87291 | C2 | semidirect |
| 4. #87290 | C2 | semidirect |
| 5. #86759 | C2 | semidirect |
| 6. #86752 | C2 | semidirect |
| 7. #86749 | C2 | semidirect |
| 8. #86745 | C2 | semidirect |
| 9. #86706 | C2 | semidirect |
| 10. #86698 | C2 | semidirect |
| 11. #86694 | C2 | semidirect |
| 12. #86690 | C2 | semidirect |
| 13. #86359 | C2 | semidirect |
| 14. #86348 | C2 | semidirect |
| 15. #86345 | C2 | semidirect |
| 16. #86253 | C2 | semidirect |
| 17. #86248 | C2 | semidirect |
| 18. #86218 | C2 | semidirect |
| 19. #85855 | C2 | semidirect |
| 22. C2×C3×2−1+4 | C22 | semidirect |
| 24. C22×#239 | C22 | semidirect |
| 25. C22×D3×Q8 | C22 | semidirect |
| 26. C3×D4×Q8 | C22 | semidirect |
| 27. C3×D4×Q8 | C22 | semidirect |
| 28. C3×#547 | C22 | semidirect |
| 29. C3×#547 | C22 | semidirect |
| 31. C3×#536 | C22 | semidirect |
| 33. C2×C3×C4⋊Q8 | C22 | semidirect |
| 34. C3×C4×#41 | C22 | semidirect |
| 36. #5834 | C22 | semidirect |
| 37. #5834 | C22 | semidirect |
| 38. #5833 | C22 | semidirect |
| 39. #5833 | C22 | semidirect |
| 40. #5832 | C22 | semidirect |
| 41. #5832 | C22 | semidirect |
| 43. #5831 | C22 | semidirect |
| 44. #5831 | C22 | semidirect |
| 46. #5830 | C22 | semidirect |
| 49. #5828 | C22 | semidirect |
| 50. #5828 | C22 | semidirect |
| 52. #5825 | C22 | semidirect |
| 54. #5817 | C22 | semidirect |
| 55. #5817 | C22 | semidirect |
| 56. #5817 | C22 | semidirect |
| 58. Q8×#67 | C22 | semidirect |
| 59. Q8×#67 | C22 | semidirect |
| 60. Q8×#67 | C22 | semidirect |
| 61. #5812 | C22 | semidirect |
| 62. #5812 | C22 | semidirect |
| 63. C2×Q8×Dic3 | C22 | semidirect |
| 64. #5735 | C22 | semidirect |
| 65. #5735 | C22 | semidirect |
| 66. #5733 | C22 | semidirect |
| 67. #5732 | C22 | semidirect |
| 68. #5731 | C22 | semidirect |
| 69. #5731 | C22 | semidirect |
| 70. #5729 | C22 | semidirect |
| 71. #5727 | C22 | semidirect |
| 73. #5724 | C22 | semidirect |
| 74. #5724 | C22 | semidirect |
| 75. #5721 | C22 | semidirect |
| 78. #5684 | C22 | semidirect |
| 82. #5670 | C22 | semidirect |
| 83. #5667 | C22 | semidirect |
| 84. #5666 | C22 | semidirect |
| 85. #5664 | C22 | semidirect |
| 86. #5663 | C22 | semidirect |
| 87. #5662 | C22 | semidirect |
| 88. #5661 | C22 | semidirect |
| 89. #5660 | C22 | semidirect |
| 90. #5659 | C22 | semidirect |
| 92. #5651 | C22 | semidirect |
| 93. #5643 | C22 | semidirect |
| 94. #5642 | C22 | semidirect |
| 96. #5639 | C22 | semidirect |
| 97. #5635 | C22 | semidirect |
| 98. #5633 | C22 | semidirect |
| 99. #5632 | C22 | semidirect |
| 100. #5631 | C22 | semidirect |
| 103. #5628 | C22 | semidirect |
| 104. #5627 | C22 | semidirect |
| 105. D3×C22⋊Q8 | C22 | semidirect |
| 106. #5625 | C22 | semidirect |
| 107. #5624 | C22 | semidirect |
| 108. #5622 | C22 | semidirect |
| 110. #5621 | C22 | semidirect |
| 112. #5620 | C22 | semidirect |
| 113. #5615 | C22 | semidirect |
| 114. #5613 | C22 | semidirect |
| 116. #5574 | C22 | semidirect |
| 117. #5572 | C22 | semidirect |
| 118. #5569 | C22 | semidirect |
| 119. #5565 | C22 | semidirect |
| 120. #5562 | C22 | semidirect |
| 121. #5561 | C22 | semidirect |
| 122. #5559 | C22 | semidirect |
| 123. #5558 | C22 | semidirect |
| 124. #5552 | C22 | semidirect |
| 125. #5550 | C22 | semidirect |
| 127. #5547 | C22 | semidirect |
| 128. #5541 | C22 | semidirect |
| 130. #5538 | C22 | semidirect |
| 131. #5532 | C22 | semidirect |
| 132. #5529 | C22 | semidirect |
| 133. #5515 | C22 | semidirect |
| 134. #5515 | C22 | semidirect |
| 135. #5514 | C22 | semidirect |
| 136. #5511 | C22 | semidirect |
| 137. #5479 | C22 | semidirect |
| 138. #5479 | C22 | semidirect |
| 152. #3499 | D3 | semidirect |
| 375. C2×2−1+4 | C2×D3 | semidirect |
| 421. D4×Q8 | C2×D3 | semidirect |
| 422. D4×Q8 | C2×D3 | semidirect |
| 435. #547 | C2×D3 | semidirect |
| 436. #547 | C2×D3 | semidirect |
| 464. #536 | C2×D3 | semidirect |
| 471. C2×C4⋊Q8 | C2×D3 | semidirect |
| 489. C4×#41 | C2×D3 | semidirect |
| 1200. C3 | #63044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#3499 | 2 |
| #87294 | 2 |
| #87291 | 2 |
| #87290 | 2 |
| #86759 | 2 |
| #86752 | 2 |
| #86749 | 2 |
| #86745 | 2 |
| #86706 | 2 |
| #86698 | 2 |
| #86694 | 2 |
| #86690 | 2 |
| #86359 | 2 |
| #86348 | 2 |
| #86345 | 2 |
| #86253 | 2 |
| #86248 | 2 |
| #86218 | 2 |
| #85855 | 2 |
| #63044 | 3 |