Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
6624 conjugacy classes of subgroups.
The subgroup lattice has 1220 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3×#3568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87126 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #87119 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #87088 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #87087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #86988 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #86984 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #86797 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | #86794 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | #86530 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | #86527 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #86397 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | #86392 | C2 | 1 | 6 | yes | maximal, complemented |
| 14 | #86144 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | #86119 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | #62841 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C3×#563 | C22 | 1 | 3 | yes | complemented |
| 18 | C3×H(3,𝔽4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C3×#556 | C22 | 1 | 6 | yes | complemented |
| 20 | C3×#551 | C22 | 1 | 6 | yes | complemented |
| 21 | C3×#542 | C22 | 1 | 6 | yes | complemented |
| 22 | C3×#538 | C22 | 1 | 6 | yes | complemented |
| 23 | C3×#529 | C22 | 1 | 3 | yes | complemented |
| 24 | #5733 | C22 | 1 | 6 | yes | complemented |
| 25 | #5732 | C22 | 1 | 6 | yes | complemented |
| 26 | #5724 | C22 | 1 | 6 | yes | complemented |
| 27 | #5722 | C22 | 1 | 6 | yes | complemented |
| 28 | #5711 | C22 | 1 | 2 | yes | complemented |
| 29 | #5710 | C22 | 1 | 6 | yes | complemented |
| 30 | #5710 | C22 | 1 | 6 | yes | complemented |
| 31 | #5710 | C22 | 1 | 6 | yes | complemented |
| 32 | #5710 | C22 | 1 | 6 | yes | complemented |
| 33 | #5706 | C22 | 1 | 6 | yes | complemented |
| 34 | #5706 | C22 | 1 | 6 | yes | complemented |
| 35 | #5706 | C22 | 1 | 6 | yes | complemented |
| 36 | #5705 | C22 | 1 | 6 | yes | complemented |
| 37 | #5705 | C22 | 1 | 6 | yes | complemented |
| 38 | #5705 | C22 | 1 | 6 | yes | complemented |
| 39 | #5704 | C22 | 1 | 6 | yes | complemented |
| 40 | #5702 | C22 | 1 | 6 | yes | complemented |
| 41 | #5702 | C22 | 1 | 6 | yes | complemented |
| 42 | #5702 | C22 | 1 | 6 | yes | complemented |
| 43 | #5702 | C22 | 1 | 6 | yes | complemented |
| 44 | #5702 | C22 | 1 | 6 | yes | complemented |
| 45 | #5702 | C22 | 1 | 6 | yes | complemented |
| 46 | #5699 | C22 | 1 | 3 | yes | complemented |
| 47 | #5699 | C22 | 1 | 3 | yes | complemented |
| 48 | #5691 | C22 | 1 | 3 | yes | complemented |
| 49 | #5688 | C22 | 1 | 3 | yes | complemented |
| 50 | #5683 | C22 | 1 | 6 | yes | complemented |
| 51 | #5683 | C22 | 1 | 3 | yes | complemented |
| 52 | #5681 | C22 | 1 | 6 | yes | complemented |
| 53 | #5680 | C22 | 1 | 3 | yes | complemented |
| 54 | #5677 | C22 | 1 | 6 | yes | complemented |
| 55 | #5674 | C22 | 1 | 6 | yes | — |
| 56 | D3×#124 | C22 | 1 | 6 | yes | complemented |
| 57 | #5672 | C22 | 1 | 3 | yes | complemented |
| 58 | #5671 | C22 | 1 | 6 | yes | complemented |
| 59 | #5671 | C22 | 1 | 6 | yes | complemented |
| 60 | #5670 | C22 | 1 | 6 | yes | complemented |
| 61 | #5670 | C22 | 1 | 6 | yes | complemented |
| 62 | #5670 | C22 | 1 | 6 | yes | complemented |
| 63 | #5669 | C22 | 1 | 6 | yes | complemented |
| 64 | #5669 | C22 | 1 | 6 | yes | complemented |
| 65 | #5668 | C22 | 1 | 3 | yes | — |
| 66 | #5664 | C22 | 1 | 6 | yes | complemented |
| 67 | #5664 | C22 | 1 | 6 | yes | complemented |
| 68 | #5662 | C22 | 1 | 6 | yes | complemented |
| 69 | #5662 | C22 | 1 | 6 | yes | complemented |
| 70 | #5658 | C22 | 1 | 6 | yes | complemented |
| 71 | #5657 | C22 | 1 | 6 | yes | complemented |
| 72 | #5657 | C22 | 1 | 6 | yes | complemented |
| 73 | #5656 | C22 | 1 | 6 | yes | complemented |
| 74 | #5654 | C22 | 1 | 6 | yes | complemented |
| 75 | #5649 | C22 | 1 | 6 | yes | complemented |
| 76 | #5649 | C22 | 1 | 6 | yes | complemented |
| 77 | #5648 | C22 | 1 | 6 | yes | complemented |
| 78 | #5644 | C22 | 1 | 6 | yes | complemented |
| 79 | #5643 | C22 | 1 | 6 | yes | complemented |
| 80 | #5641 | C22 | 1 | 6 | yes | complemented |
| 81 | #5640 | C22 | 1 | 6 | yes | complemented |
| 82 | #5640 | C22 | 1 | 6 | yes | complemented |
| 83 | #5640 | C22 | 1 | 6 | yes | complemented |
| 84 | #5640 | C22 | 1 | 6 | yes | complemented |
| 85 | #5637 | C22 | 1 | 6 | yes | complemented |
| 86 | #5637 | C22 | 1 | 6 | yes | complemented |
| 87 | #5633 | C22 | 1 | 6 | yes | complemented |
| 88 | #5632 | C22 | 1 | 6 | yes | complemented |
| 89 | #5632 | C22 | 1 | 6 | yes | complemented |
| 90 | #5627 | C22 | 1 | 3 | yes | complemented |
| 91 | #5622 | C22 | 1 | 6 | yes | complemented |
| 92 | #5622 | C22 | 1 | 3 | yes | complemented |
| 93 | #5620 | C22 | 1 | 6 | yes | complemented |
| 94 | #5616 | C22 | 1 | 6 | yes | complemented |
| 95 | #5613 | C22 | 1 | 6 | yes | complemented |
| 96 | #5610 | C22 | 1 | 6 | yes | complemented |
| 97 | #5606 | C22 | 1 | 3 | yes | complemented |
| 98 | #5598 | C22 | 1 | 6 | yes | complemented |
| 99 | #5596 | C22 | 1 | 3 | yes | — |
| 100 | #5594 | C22 | 1 | 2 | yes | complemented |
| 101 | #5593 | C22 | 1 | 6 | yes | complemented |
| 102 | #5592 | C22 | 1 | 6 | yes | — |
| 103 | #5591 | C22 | 1 | 6 | yes | complemented |
| 104 | #5590 | C22 | 1 | 6 | yes | complemented |
| 105 | #5587 | C22 | 1 | 6 | yes | complemented |
| 106 | #5585 | C22 | 1 | 6 | yes | complemented |
| 107 | #5578 | C22 | 1 | 3 | yes | complemented |
| 108 | #5578 | C22 | 1 | 6 | yes | complemented |
| 109 | C4×#239 | C22 | 1 | 3 | yes | complemented |
| 110 | #5572 | C22 | 1 | 6 | yes | complemented |
| 111 | #5568 | C22 | 1 | 6 | yes | complemented |
| 112 | #5568 | C22 | 1 | 6 | yes | complemented |
| 113 | #5561 | C22 | 1 | 6 | yes | complemented |
| 114 | #5560 | C22 | 1 | 6 | yes | complemented |
| 115 | #5559 | C22 | 1 | 6 | yes | complemented |
| 116 | #5556 | C22 | 1 | 6 | yes | complemented |
| 117 | #5552 | C22 | 1 | 6 | yes | complemented |
| 118 | #5548 | C22 | 1 | 3 | yes | — |
| 119 | #5547 | C22 | 1 | 6 | yes | complemented |
| 120 | #5545 | C22 | 1 | 6 | yes | complemented |
| 121 | #5538 | C22 | 1 | 6 | yes | complemented |
| 122 | C4×#237 | C22 | 1 | 3 | yes | complemented |
| 123 | C4×#237 | C22 | 1 | 6 | yes | complemented |
| 124 | #5533 | C22 | 1 | 6 | yes | complemented |
| 125 | #5532 | C22 | 1 | 6 | yes | complemented |
| 126 | #5528 | C22 | 1 | 6 | yes | complemented |
| 127 | #5528 | C22 | 1 | 6 | yes | complemented |
| 128 | #5527 | C22 | 1 | 6 | yes | complemented |
| 129 | #5527 | C22 | 1 | 6 | yes | complemented |
| 130 | #5522 | C22 | 1 | 6 | yes | complemented |
| 131 | #5516 | C22 | 1 | 6 | yes | complemented |
| 132 | #5495 | C22 | 1 | 6 | yes | complemented |
| 133 | C2×#885 | C22 | 1 | 6 | yes | complemented |
| 134 | #5490 | C22 | 1 | 6 | yes | complemented |
| 135 | #5486 | C22 | 1 | 6 | yes | complemented |
| 136 | #5479 | C22 | 1 | 3 | yes | complemented |
| 137 | C2×C42×D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 138 | #3568 | — | 3 | 3 | no | — |
| 139 | #3568 | — | 3 | 1 | no | — |
| 140 | #3568 | — | 3 | 3 | no | — |
| 141 | #3568 | D3 | 1 | 1 | yes | characteristic, complemented |
| 142 | #3550 | — | 3 | 3 | no | — |
| 143 | #3549 | — | 3 | 1 | no | — |
| 144 | #3540 | — | 3 | 6 | no | — |
| 145 | #3540 | — | 3 | 6 | no | — |
| 146 | #3518 | — | 3 | 6 | no | — |
| 147 | #3518 | — | 3 | 6 | no | — |
| 148 | #3514 | — | 3 | 6 | no | — |
| 149 | #3514 | — | 3 | 6 | no | — |
| 150 | #3510 | — | 3 | 6 | no | — |
| 151 | #3510 | — | 3 | 6 | no | — |
| 152 | #3444 | — | 3 | 3 | no | — |
| 153 | C22×#67 | C23 | 1 | 6 | yes | — |
| 154 | C2×#239 | C23 | 1 | 3 | yes | — |
| 155 | C2×D3×Q8 | C23 | 1 | 6 | yes | — |
| 156 | C2×#237 | C23 | 1 | 3 | yes | — |
| 157 | C2×#237 | C23 | 1 | 6 | yes | — |
| 158 | C2×D3×D4 | C23 | 1 | 6 | yes | — |
| 159 | C2×#235 | C23 | 1 | 6 | yes | — |
| 160 | C22×C4×D3 | C23 | 1 | 3 | yes | — |
| 161 | C22×Dic6 | C23 | 1 | 6 | yes | — |
| 162 | C3×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 163 | C3×#126 | C23 | 1 | 6 | yes | — |
| 164 | C3×#126 | C23 | 1 | 6 | yes | — |
| 165 | C3×#126 | C23 | 1 | 2 | yes | — |
| 166 | C3×#126 | C23 | 1 | 6 | yes | — |
| 167 | C3×#126 | C23 | 1 | 6 | yes | — |
| 168 | C3×#125 | C23 | 1 | 3 | yes | — |
| 169 | C3×#124 | C23 | 1 | 3 | yes | — |
| 170 | C3×#124 | C23 | 1 | 6 | yes | — |
| 171 | C3×#124 | C23 | 1 | 6 | yes | — |
| 172 | C3×#124 | C23 | 1 | 6 | yes | — |
| 173 | C3×#123 | C23 | 1 | 6 | yes | — |
| 174 | C3×#123 | C23 | 1 | 6 | yes | — |
| 175 | C3×#123 | C23 | 1 | 6 | yes | — |
| 176 | C3×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 177 | C3×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 178 | C3×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 179 | C3×C22⋊Q8 | C23 | 1 | 3 | yes | — |
| 180 | C3×#121 | C23 | 1 | 3 | yes | — |
| 181 | C3×#121 | C23 | 1 | 6 | yes | — |
| 182 | C3×#120 | C23 | 1 | 6 | yes | — |
| 183 | C3×#120 | C23 | 1 | 2 | yes | — |
| 184 | C3×C4×Q8 | C23 | 1 | 3 | yes | — |
| 185 | C3×C4×Q8 | C23 | 1 | 6 | yes | — |
| 186 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 187 | C3×C4×D4 | C23 | 1 | 3 | yes | — |
| 188 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 189 | C3×#117 | C23 | 1 | 6 | yes | — |
| 190 | C3×#117 | C23 | 1 | 6 | yes | — |
| 191 | C2×C3×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 192 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 193 | #953 | C23 | 1 | 2 | yes | — |
| 194 | #953 | C23 | 1 | 2 | yes | — |
| 195 | C2×#217 | C23 | 1 | 6 | yes | — |
| 196 | #947 | C23 | 1 | 6 | yes | — |
| 197 | #947 | C23 | 1 | 6 | yes | — |
| 198 | #947 | C23 | 1 | 6 | yes | — |
| 199 | #947 | C23 | 1 | 6 | yes | — |
| 200 | #946 | C23 | 1 | 6 | yes | — |
| 201 | #946 | C23 | 1 | 3 | yes | — |
| 202 | Q8×Dic3 | C23 | 1 | 6 | yes | — |
| 203 | Q8×Dic3 | C23 | 1 | 3 | yes | — |
| 204 | #944 | C23 | 1 | 6 | yes | — |
| 205 | #944 | C23 | 1 | 6 | yes | — |
| 206 | #944 | C23 | 1 | 6 | yes | — |
| 207 | #944 | C23 | 1 | 3 | yes | — |
| 208 | #940 | C23 | 1 | 3 | yes | — |
| 209 | #940 | C23 | 1 | 6 | yes | — |
| 210 | #939 | C23 | 1 | 6 | yes | — |
| 211 | #939 | C23 | 1 | 6 | yes | — |
| 212 | #939 | C23 | 1 | 6 | yes | — |
| 213 | #939 | C23 | 1 | 6 | yes | — |
| 214 | #939 | C23 | 1 | 6 | yes | — |
| 215 | #938 | C23 | 1 | 3 | yes | — |
| 216 | #938 | C23 | 1 | 6 | yes | — |
| 217 | #937 | C23 | 1 | 6 | yes | — |
| 218 | #937 | C23 | 1 | 6 | yes | — |
| 219 | #937 | C23 | 1 | 6 | yes | — |
| 220 | #936 | C23 | 1 | 6 | yes | — |
| 221 | #936 | C23 | 1 | 6 | yes | — |
| 222 | #935 | C23 | 1 | 6 | yes | — |
| 223 | #935 | C23 | 1 | 6 | yes | — |
| 224 | D4×Dic3 | C23 | 1 | 6 | yes | — |
| 225 | D4×Dic3 | C23 | 1 | 6 | yes | — |
| 226 | D4×Dic3 | C23 | 1 | 3 | yes | — |
| 227 | #930 | C23 | 1 | 6 | yes | — |
| 228 | #930 | C23 | 1 | 3 | yes | — |
| 229 | #929 | C23 | 1 | 6 | yes | — |
| 230 | #929 | C23 | 1 | 6 | yes | — |
| 231 | #929 | C23 | 1 | 6 | yes | — |
| 232 | C4×#67 | C23 | 1 | 6 | yes | — |
| 233 | C4×#67 | C23 | 1 | 6 | yes | — |
| 234 | C4×#67 | C23 | 1 | 6 | yes | — |
| 235 | C4×#67 | C23 | 1 | 6 | yes | — |
| 236 | C4×#67 | C23 | 1 | 6 | yes | — |
| 237 | C4×#67 | C23 | 1 | 6 | yes | — |
| 238 | C4×#67 | C23 | 1 | 6 | yes | — |
| 239 | C2×(C2×D3)⋊C4 | C23 | 1 | 6 | yes | — |
| 240 | C2×(C2×D3)⋊C4 | C23 | 1 | 6 | yes | — |
| 241 | #926 | C23 | 1 | 6 | yes | — |
| 242 | #924 | C23 | 1 | 3 | yes | — |
| 243 | #924 | C23 | 1 | 6 | yes | — |
| 244 | C2×C4×Dic3 | C23 | 1 | 3 | yes | — |
| 245 | C2×C4×Dic3 | C23 | 1 | 6 | yes | — |
| 246 | #898 | C23 | 1 | 6 | yes | — |
| 247 | #898 | C23 | 1 | 6 | yes | — |
| 248 | #898 | C23 | 1 | 6 | yes | — |
| 249 | #898 | C23 | 1 | 6 | yes | — |
| 250 | #898 | C23 | 1 | 6 | yes | — |
| 251 | #898 | C23 | 1 | 6 | yes | — |
| 252 | #898 | C23 | 1 | 6 | yes | — |
| 253 | #898 | C23 | 1 | 6 | yes | — |
| 254 | #898 | C23 | 1 | 6 | yes | — |
| 255 | #897 | C23 | 1 | 6 | yes | — |
| 256 | #897 | C23 | 1 | 6 | yes | — |
| 257 | #897 | C23 | 1 | 3 | yes | — |
| 258 | #897 | C23 | 1 | 6 | yes | — |
| 259 | #896 | C23 | 1 | 6 | yes | — |
| 260 | #896 | C23 | 1 | 6 | yes | — |
| 261 | #896 | C23 | 1 | 6 | yes | — |
| 262 | #896 | C23 | 1 | 6 | yes | — |
| 263 | #896 | C23 | 1 | 6 | yes | — |
| 264 | #896 | C23 | 1 | 6 | yes | — |
| 265 | #896 | C23 | 1 | 6 | yes | — |
| 266 | #896 | C23 | 1 | 6 | yes | — |
| 267 | #896 | C23 | 1 | 6 | yes | — |
| 268 | #895 | C23 | 1 | 6 | yes | — |
| 269 | #895 | C23 | 1 | 3 | yes | — |
| 270 | #894 | C23 | 1 | 6 | yes | — |
| 271 | #894 | C23 | 1 | 6 | yes | — |
| 272 | #894 | C23 | 1 | 6 | yes | — |
| 273 | #894 | C23 | 1 | 6 | yes | — |
| 274 | #894 | C23 | 1 | 6 | yes | — |
| 275 | #894 | C23 | 1 | 6 | yes | — |
| 276 | #894 | C23 | 1 | 6 | yes | — |
| 277 | #894 | C23 | 1 | 6 | yes | — |
| 278 | #893 | C23 | 1 | 6 | yes | — |
| 279 | #893 | C23 | 1 | 6 | yes | — |
| 280 | #893 | C23 | 1 | 3 | yes | — |
| 281 | #893 | C23 | 1 | 6 | yes | — |
| 282 | #893 | C23 | 1 | 6 | yes | — |
| 283 | #892 | C23 | 1 | 6 | yes | — |
| 284 | #892 | C23 | 1 | 6 | yes | — |
| 285 | #892 | C23 | 1 | 3 | yes | — |
| 286 | #892 | C23 | 1 | 3 | yes | — |
| 287 | #892 | C23 | 1 | 6 | yes | — |
| 288 | #892 | C23 | 1 | 6 | yes | — |
| 289 | #889 | C23 | 1 | 6 | yes | — |
| 290 | #889 | C23 | 1 | 6 | yes | — |
| 291 | #888 | C23 | 1 | 3 | yes | — |
| 292 | #888 | C23 | 1 | 3 | yes | — |
| 293 | #888 | C23 | 1 | 6 | yes | — |
| 294 | #888 | C23 | 1 | 6 | yes | — |
| 295 | #888 | C23 | 1 | 6 | yes | — |
| 296 | #888 | C23 | 1 | 6 | yes | — |
| 297 | #887 | C23 | 1 | 6 | yes | — |
| 298 | #887 | C23 | 1 | 6 | yes | — |
| 299 | #887 | C23 | 1 | 6 | yes | — |
| 300 | #887 | C23 | 1 | 6 | yes | — |
| 301 | #887 | C23 | 1 | 6 | yes | — |
| 302 | #887 | C23 | 1 | 6 | yes | — |
| 303 | #887 | C23 | 1 | 3 | yes | — |
| 304 | #887 | C23 | 1 | 6 | yes | — |
| 305 | #887 | C23 | 1 | 6 | yes | — |
| 306 | #886 | C23 | 1 | 6 | yes | — |
| 307 | #886 | C23 | 1 | 6 | yes | — |
| 308 | #885 | C23 | 1 | 6 | yes | — |
| 309 | #885 | C23 | 1 | 6 | yes | — |
| 310 | #885 | C23 | 1 | 6 | yes | — |
| 311 | #885 | C23 | 1 | 6 | yes | — |
| 312 | #885 | C23 | 1 | 6 | yes | — |
| 313 | #885 | C23 | 1 | 6 | yes | — |
| 314 | #885 | C23 | 1 | 6 | yes | — |
| 315 | #885 | C23 | 1 | 6 | yes | — |
| 316 | #885 | C23 | 1 | 6 | yes | — |
| 317 | #885 | C23 | 1 | 6 | yes | — |
| 318 | #885 | C23 | 1 | 6 | yes | — |
| 319 | #885 | C23 | 1 | 6 | yes | — |
| 320 | #885 | C23 | 1 | 6 | yes | — |
| 321 | #885 | C23 | 1 | 6 | yes | — |
| 322 | #885 | C23 | 1 | 6 | yes | — |
| 323 | #885 | C23 | 1 | 6 | yes | — |
| 324 | #885 | C23 | 1 | 6 | yes | — |
| 325 | #885 | C23 | 1 | 6 | yes | — |
| 326 | #884 | C23 | 1 | 6 | yes | — |
| 327 | #884 | C23 | 1 | 6 | yes | — |
| 328 | #884 | C23 | 1 | 6 | yes | — |
| 329 | #884 | C23 | 1 | 6 | yes | — |
| 330 | #884 | C23 | 1 | 6 | yes | — |
| 331 | #884 | C23 | 1 | 6 | yes | — |
| 332 | #884 | C23 | 1 | 6 | yes | — |
| 333 | #883 | C23 | 1 | 6 | yes | — |
| 334 | #883 | C23 | 1 | 6 | yes | — |
| 335 | #883 | C23 | 1 | 6 | yes | — |
| 336 | #883 | C23 | 1 | 6 | yes | — |
| 337 | #882 | C23 | 1 | 6 | yes | — |
| 338 | #882 | C23 | 1 | 6 | yes | — |
| 339 | #882 | C23 | 1 | 6 | yes | — |
| 340 | #882 | C23 | 1 | 6 | yes | — |
| 341 | #882 | C23 | 1 | 6 | yes | — |
| 342 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 343 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 344 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 345 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 346 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 347 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 348 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 349 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 350 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 351 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 352 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 353 | D3×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 354 | D3×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 355 | D3×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 356 | D3×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 357 | #879 | C23 | 1 | 6 | yes | — |
| 358 | #879 | C23 | 1 | 6 | yes | — |
| 359 | #879 | C23 | 1 | 6 | yes | — |
| 360 | #879 | C23 | 1 | 6 | yes | — |
| 361 | #879 | C23 | 1 | 6 | yes | — |
| 362 | #879 | C23 | 1 | 6 | yes | — |
| 363 | #879 | C23 | 1 | 6 | yes | — |
| 364 | #878 | C23 | 1 | 6 | yes | — |
| 365 | #878 | C23 | 1 | 6 | yes | — |
| 366 | #878 | C23 | 1 | 6 | yes | — |
| 367 | #878 | C23 | 1 | 6 | yes | — |
| 368 | #878 | C23 | 1 | 6 | yes | — |
| 369 | #878 | C23 | 1 | 6 | yes | — |
| 370 | #878 | C23 | 1 | 6 | yes | — |
| 371 | #877 | C23 | 1 | 6 | yes | — |
| 372 | #877 | C23 | 1 | 6 | yes | — |
| 373 | #877 | C23 | 1 | 6 | yes | — |
| 374 | #877 | C23 | 1 | 6 | yes | — |
| 375 | #877 | C23 | 1 | 6 | yes | — |
| 376 | #877 | C23 | 1 | 6 | yes | — |
| 377 | #877 | C23 | 1 | 6 | yes | — |
| 378 | #876 | C23 | 1 | 2 | yes | — |
| 379 | #876 | C23 | 1 | 6 | yes | — |
| 380 | #876 | C23 | 1 | 6 | yes | — |
| 381 | #875 | C23 | 1 | 3 | yes | — |
| 382 | #875 | C23 | 1 | 6 | yes | — |
| 383 | #875 | C23 | 1 | 6 | yes | — |
| 384 | #875 | C23 | 1 | 6 | yes | — |
| 385 | #874 | C23 | 1 | 2 | yes | — |
| 386 | C4×D12 | C23 | 1 | 6 | yes | — |
| 387 | C4×D12 | C23 | 1 | 6 | yes | — |
| 388 | C4×D12 | C23 | 1 | 3 | yes | — |
| 389 | #872 | C23 | 1 | 6 | yes | — |
| 390 | #872 | C23 | 1 | 6 | yes | — |
| 391 | #872 | C23 | 1 | 6 | yes | — |
| 392 | #872 | C23 | 1 | 6 | yes | — |
| 393 | #872 | C23 | 1 | 6 | yes | — |
| 394 | #872 | C23 | 1 | 6 | yes | — |
| 395 | C42×D3 | C23 | 1 | 1 | yes | characteristic |
| 396 | C42×D3 | C23 | 1 | 6 | yes | — |
| 397 | C42×D3 | C23 | 1 | 1 | yes | characteristic |
| 398 | C42×D3 | C23 | 1 | 3 | yes | — |
| 399 | C42×D3 | C23 | 1 | 3 | yes | — |
| 400 | #870 | C23 | 1 | 3 | yes | — |
| 401 | C4×Dic6 | C23 | 1 | 6 | yes | — |
| 402 | C4×Dic6 | C23 | 1 | 6 | yes | — |
| 403 | C4×Dic6 | C23 | 1 | 6 | yes | — |
| 404 | C4×Dic6 | C23 | 1 | 6 | yes | — |
| 405 | C4×Dic6 | C23 | 1 | 6 | yes | — |
| 406 | C4×Dic6 | C23 | 1 | 6 | yes | — |
| 407 | C4×Dic6 | C23 | 1 | 3 | yes | — |
| 408 | #563 | — | 3 | 3 | no | — |
| 409 | #563 | — | 3 | 3 | no | — |
| 410 | #563 | — | 3 | 3 | no | — |
| 411 | #563 | C2×D3 | 1 | 3 | yes | complemented |
| 412 | H(3,𝔽4) | — | 3 | 6 | no | — |
| 413 | H(3,𝔽4) | — | 3 | 3 | no | — |
| 414 | H(3,𝔽4) | — | 3 | 2 | no | — |
| 415 | H(3,𝔽4) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 416 | #560 | — | 3 | 2 | no | — |
| 417 | #560 | — | 3 | 6 | no | — |
| 418 | #559 | — | 3 | 6 | no | — |
| 419 | #559 | — | 3 | 6 | no | — |
| 420 | #559 | — | 3 | 6 | no | — |
| 421 | #559 | — | 3 | 6 | no | — |
| 422 | #559 | — | 3 | 6 | no | — |
| 423 | Q82 | — | 3 | 6 | no | — |
| 424 | #556 | — | 3 | 6 | no | — |
| 425 | #556 | — | 3 | 6 | no | — |
| 426 | #556 | — | 3 | 6 | no | — |
| 427 | #556 | — | 3 | 6 | no | — |
| 428 | #556 | — | 3 | 6 | no | — |
| 429 | #556 | — | 3 | 6 | no | — |
| 430 | #556 | — | 3 | 6 | no | — |
| 431 | #556 | — | 3 | 6 | no | — |
| 432 | #556 | — | 3 | 6 | no | — |
| 433 | #556 | — | 3 | 6 | no | — |
| 434 | #556 | — | 3 | 6 | no | — |
| 435 | #556 | — | 3 | 6 | no | — |
| 436 | #556 | — | 3 | 6 | no | — |
| 437 | #556 | C2×D3 | 1 | 6 | yes | complemented |
| 438 | #555 | — | 3 | 6 | no | — |
| 439 | #555 | — | 3 | 6 | no | — |
| 440 | #555 | — | 3 | 6 | no | — |
| 441 | #555 | — | 3 | 6 | no | — |
| 442 | #555 | — | 3 | 6 | no | — |
| 443 | #551 | — | 3 | 6 | no | — |
| 444 | #551 | — | 3 | 6 | no | — |
| 445 | #551 | — | 3 | 6 | no | — |
| 446 | #551 | — | 3 | 6 | no | — |
| 447 | #551 | — | 3 | 6 | no | — |
| 448 | #551 | — | 3 | 6 | no | — |
| 449 | #551 | — | 3 | 6 | no | — |
| 450 | #551 | — | 3 | 6 | no | — |
| 451 | #551 | — | 3 | 6 | no | — |
| 452 | #551 | — | 3 | 6 | no | — |
| 453 | #551 | — | 3 | 6 | no | — |
| 454 | #551 | C2×D3 | 1 | 6 | yes | complemented |
| 455 | D4×Q8 | — | 3 | 6 | no | — |
| 456 | D4×Q8 | — | 3 | 6 | no | — |
| 457 | #548 | — | 3 | 6 | no | — |
| 458 | #548 | — | 3 | 6 | no | — |
| 459 | #548 | — | 3 | 6 | no | — |
| 460 | #548 | — | 3 | 6 | no | — |
| 461 | #546 | — | 3 | 6 | no | — |
| 462 | #546 | — | 3 | 6 | no | — |
| 463 | #546 | — | 3 | 6 | no | — |
| 464 | #546 | — | 3 | 6 | no | — |
| 465 | D42 | — | 3 | 6 | no | — |
| 466 | #542 | — | 3 | 6 | no | — |
| 467 | #542 | — | 3 | 6 | no | — |
| 468 | #542 | — | 3 | 6 | no | — |
| 469 | #542 | — | 3 | 6 | no | — |
| 470 | #542 | — | 3 | 6 | no | — |
| 471 | #542 | — | 3 | 6 | no | — |
| 472 | #542 | — | 3 | 6 | no | — |
| 473 | #542 | — | 3 | 6 | no | — |
| 474 | #542 | — | 3 | 6 | no | — |
| 475 | #542 | — | 3 | 6 | no | — |
| 476 | #542 | — | 3 | 6 | no | — |
| 477 | #542 | — | 3 | 6 | no | — |
| 478 | #542 | — | 3 | 6 | no | — |
| 479 | #542 | — | 3 | 6 | no | — |
| 480 | #542 | — | 3 | 6 | no | — |
| 481 | #542 | C2×D3 | 1 | 6 | yes | complemented |
| 482 | #538 | — | 3 | 6 | no | — |
| 483 | #538 | — | 3 | 6 | no | — |
| 484 | #538 | — | 3 | 6 | no | — |
| 485 | #538 | — | 3 | 6 | no | — |
| 486 | #538 | — | 3 | 6 | no | — |
| 487 | #538 | — | 3 | 6 | no | — |
| 488 | #538 | — | 3 | 6 | no | — |
| 489 | #538 | C2×D3 | 1 | 6 | yes | complemented |
| 490 | #536 | — | 3 | 6 | no | — |
| 491 | #536 | — | 3 | 6 | no | — |
| 492 | #535 | — | 3 | 6 | no | — |
| 493 | #535 | — | 3 | 6 | no | — |
| 494 | #533 | — | 3 | 3 | no | — |
| 495 | #533 | — | 3 | 3 | no | — |
| 496 | #533 | — | 3 | 6 | no | — |
| 497 | #533 | — | 3 | 3 | no | — |
| 498 | #533 | — | 3 | 6 | no | — |
| 499 | #532 | — | 3 | 3 | no | — |
| 500 | #532 | — | 3 | 3 | no | — |
| 501 | #532 | — | 3 | 3 | no | — |
| 502 | #529 | — | 3 | 6 | no | — |
| 503 | #529 | — | 3 | 6 | no | — |
| 504 | #529 | — | 3 | 6 | no | — |
| 505 | #529 | — | 3 | 3 | no | — |
| 506 | #529 | — | 3 | 3 | no | — |
| 507 | #529 | — | 3 | 6 | no | — |
| 508 | #529 | — | 3 | 6 | no | — |
| 509 | #529 | — | 3 | 6 | no | — |
| 510 | #529 | — | 3 | 6 | no | — |
| 511 | #529 | — | 3 | 6 | no | — |
| 512 | #529 | — | 3 | 3 | no | — |
| 513 | #529 | C2×D3 | 1 | 3 | yes | complemented |
| 514 | C2×#124 | — | 3 | 6 | no | — |
| 515 | C2×#124 | — | 3 | 6 | no | — |
| 516 | #525 | — | 3 | 6 | no | — |
| 517 | #525 | — | 3 | 3 | no | — |
| 518 | #525 | — | 3 | 3 | no | — |
| 519 | #525 | — | 3 | 6 | no | — |
| 520 | #519 | — | 3 | 6 | no | — |
| 521 | #519 | — | 3 | 6 | no | — |
| 522 | #518 | — | 3 | 6 | no | — |
| 523 | #518 | — | 3 | 6 | no | — |
| 524 | C4×#41 | — | 3 | 3 | no | — |
| 525 | C4×#41 | — | 3 | 3 | no | — |
| 526 | C4×#41 | — | 3 | 6 | no | — |
| 527 | C4×#41 | — | 3 | 6 | no | — |
| 528 | C22×C42 | — | 3 | 1 | no | — |
| 529 | C24×C3 | C24 | 1 | 2 | yes | — |
| 530 | C23×D3 | C24 | 1 | 6 | yes | — |
| 531 | C23×D3 | C24 | 1 | 1 | yes | characteristic |
| 532 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 533 | C2×C3×Q8 | C24 | 1 | 6 | yes | — |
| 534 | C2×C3×D4 | C24 | 1 | 3 | yes | — |
| 535 | C2×C3×D4 | C24 | 1 | 6 | yes | — |
| 536 | C2×C3×D4 | C24 | 1 | 6 | yes | — |
| 537 | C22×C3×C4 | C24 | 1 | 6 | yes | — |
| 538 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 539 | C22×C3×C4 | C24 | 1 | 6 | yes | — |
| 540 | C2×#67 | — | 4 | 12 | no | — |
| 541 | C2×#67 | C24 | 1 | 6 | yes | — |
| 542 | C2×#67 | C24 | 1 | 6 | yes | — |
| 543 | C2×#67 | C24 | 1 | 6 | yes | — |
| 544 | C2×#67 | C24 | 1 | 6 | yes | — |
| 545 | C2×#67 | C24 | 1 | 6 | yes | — |
| 546 | C2×#67 | C24 | 1 | 6 | yes | — |
| 547 | C2×#67 | C24 | 1 | 6 | yes | — |
| 548 | C22×Dic3 | C24 | 1 | 6 | yes | — |
| 549 | C22×Dic3 | C24 | 1 | 3 | yes | — |
| 550 | C22×Dic3 | C24 | 1 | 6 | yes | — |
| 551 | C22×Dic3 | C24 | 1 | 6 | yes | — |
| 552 | #239 | — | 4 | 6 | no | — |
| 553 | D3×Q8 | — | 4 | 12 | no | — |
| 554 | #237 | — | 4 | 12 | no | — |
| 555 | #237 | — | 4 | 6 | no | — |
| 556 | D3×D4 | — | 4 | 12 | no | — |
| 557 | #235 | — | 4 | 12 | no | — |
| 558 | C2×D12 | C24 | 1 | 6 | yes | — |
| 559 | C2×D12 | C24 | 1 | 6 | yes | — |
| 560 | C2×D12 | C24 | 1 | 3 | yes | — |
| 561 | C2×D12 | C24 | 1 | 6 | yes | — |
| 562 | C2×C4×D3 | — | 4 | 6 | no | — |
| 563 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 564 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 565 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 566 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 567 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 568 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 569 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 570 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 571 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 572 | C2×Dic6 | — | 4 | 12 | no | — |
| 573 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 574 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 575 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 576 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 577 | C2×Dic6 | C24 | 1 | 3 | yes | — |
| 578 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 579 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 580 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 581 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 582 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 583 | C3×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 584 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 585 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 586 | C3×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 587 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 588 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 589 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 590 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 591 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 592 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 593 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 594 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 595 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 596 | C3×C42 | C24 | 1 | 2 | yes | — |
| 597 | C3×C42 | C24 | 1 | 6 | yes | — |
| 598 | C3×C42 | C24 | 1 | 6 | yes | — |
| 599 | C3×C42 | C24 | 1 | 3 | yes | — |
| 600 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 601 | #217 | C24 | 1 | 6 | yes | — |
| 602 | #217 | C24 | 1 | 6 | yes | — |
| 603 | #217 | C24 | 1 | 6 | yes | — |
| 604 | #217 | C24 | 1 | 6 | yes | — |
| 605 | #217 | C24 | 1 | 6 | yes | — |
| 606 | #217 | C24 | 1 | 6 | yes | — |
| 607 | #217 | C24 | 1 | 6 | yes | — |
| 608 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 609 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 610 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 611 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 612 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 613 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 614 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 615 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 616 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 617 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 618 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 619 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 620 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 621 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 622 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 623 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 624 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 625 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 626 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 627 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 628 | C4⋊Dic3 | C24 | 1 | 3 | yes | — |
| 629 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 630 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 631 | C4⋊Dic3 | C24 | 1 | 3 | yes | — |
| 632 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 633 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 634 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 635 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 636 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 637 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 638 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 639 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 640 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 641 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 642 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 643 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 644 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 645 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 646 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 647 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 648 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 649 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 650 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 651 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 652 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 653 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 654 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 655 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 656 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 657 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 658 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 659 | C2×#41 | — | 3 | 3 | no | — |
| 660 | C2×#41 | — | 3 | 3 | no | — |
| 661 | C2×#41 | — | 3 | 6 | no | — |
| 662 | C2×#41 | — | 3 | 6 | no | — |
| 663 | C22×Q8 | — | 3 | 6 | no | — |
| 664 | C22×Q8 | — | 3 | 6 | no | — |
| 665 | C22×D4 | — | 3 | 6 | no | — |
| 666 | C22×D4 | — | 3 | 6 | no | — |
| 667 | C23×C4 | — | 3 | 3 | no | — |
| 668 | C4⋊Q8 | — | 3 | 3 | no | — |
| 669 | C4⋊Q8 | — | 3 | 6 | no | — |
| 670 | C4⋊Q8 | — | 3 | 6 | no | — |
| 671 | C4⋊Q8 | — | 3 | 6 | no | — |
| 672 | C4⋊Q8 | — | 3 | 3 | no | — |
| 673 | C4⋊Q8 | — | 3 | 3 | no | — |
| 674 | C4⋊Q8 | — | 3 | 6 | no | — |
| 675 | C4⋊Q8 | — | 3 | 6 | no | — |
| 676 | C4⋊Q8 | — | 3 | 6 | no | — |
| 677 | C4⋊Q8 | — | 3 | 6 | no | — |
| 678 | C4⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 679 | #127 | — | 3 | 3 | no | — |
| 680 | #127 | — | 3 | 6 | no | — |
| 681 | #127 | — | 3 | 2 | no | — |
| 682 | #126 | — | 3 | 6 | no | — |
| 683 | #126 | — | 3 | 6 | no | — |
| 684 | #126 | — | 3 | 6 | no | — |
| 685 | #126 | — | 3 | 6 | no | — |
| 686 | #126 | — | 3 | 6 | no | — |
| 687 | #126 | — | 3 | 6 | no | — |
| 688 | #126 | — | 3 | 6 | no | — |
| 689 | #126 | — | 3 | 6 | no | — |
| 690 | #126 | — | 3 | 6 | no | — |
| 691 | #126 | — | 3 | 6 | no | — |
| 692 | #126 | — | 3 | 6 | no | — |
| 693 | #126 | — | 3 | 6 | no | — |
| 694 | #126 | — | 3 | 6 | no | — |
| 695 | #126 | — | 3 | 6 | no | — |
| 696 | #126 | — | 3 | 6 | no | — |
| 697 | #126 | — | 3 | 6 | no | — |
| 698 | #126 | — | 3 | 6 | no | — |
| 699 | #126 | — | 3 | 6 | no | — |
| 700 | #126 | — | 3 | 2 | no | — |
| 701 | #126 | C22×D3 | 1 | 6 | yes | — |
| 702 | #126 | C22×D3 | 1 | 6 | yes | — |
| 703 | #126 | C22×D3 | 1 | 6 | yes | — |
| 704 | #126 | C22×D3 | 1 | 6 | yes | — |
| 705 | #126 | C22×D3 | 1 | 2 | yes | — |
| 706 | #125 | — | 3 | 6 | no | — |
| 707 | #125 | — | 3 | 6 | no | — |
| 708 | #125 | — | 3 | 3 | no | — |
| 709 | #125 | C22×D3 | 1 | 3 | yes | — |
| 710 | #124 | — | 3 | 6 | no | — |
| 711 | #124 | — | 3 | 6 | no | — |
| 712 | #124 | — | 3 | 6 | no | — |
| 713 | #124 | — | 3 | 6 | no | — |
| 714 | #124 | — | 3 | 6 | no | — |
| 715 | #124 | — | 3 | 6 | no | — |
| 716 | #124 | — | 3 | 6 | no | — |
| 717 | #124 | — | 3 | 6 | no | — |
| 718 | #124 | — | 3 | 6 | no | — |
| 719 | #124 | — | 3 | 6 | no | — |
| 720 | #124 | — | 3 | 6 | no | — |
| 721 | #124 | — | 3 | 6 | no | — |
| 722 | #124 | — | 3 | 6 | no | — |
| 723 | #124 | — | 3 | 6 | no | — |
| 724 | #124 | — | 3 | 6 | no | — |
| 725 | #124 | — | 3 | 6 | no | — |
| 726 | #124 | — | 3 | 6 | no | — |
| 727 | #124 | — | 3 | 6 | no | — |
| 728 | #124 | — | 3 | 6 | no | — |
| 729 | #124 | — | 3 | 6 | no | — |
| 730 | #124 | — | 3 | 6 | no | — |
| 731 | #124 | — | 3 | 6 | no | — |
| 732 | #124 | — | 3 | 6 | no | — |
| 733 | #124 | — | 3 | 6 | no | — |
| 734 | #124 | — | 3 | 6 | no | — |
| 735 | #124 | — | 3 | 3 | no | — |
| 736 | #124 | — | 3 | 6 | no | — |
| 737 | #124 | — | 3 | 6 | no | — |
| 738 | #124 | C22×D3 | 1 | 6 | yes | — |
| 739 | #124 | C22×D3 | 1 | 3 | yes | — |
| 740 | #124 | C22×D3 | 1 | 6 | yes | — |
| 741 | #124 | C22×D3 | 1 | 6 | yes | — |
| 742 | #123 | — | 3 | 6 | no | — |
| 743 | #123 | — | 3 | 6 | no | — |
| 744 | #123 | — | 3 | 6 | no | — |
| 745 | #123 | — | 3 | 6 | no | — |
| 746 | #123 | — | 3 | 6 | no | — |
| 747 | #123 | — | 3 | 6 | no | — |
| 748 | #123 | — | 3 | 6 | no | — |
| 749 | #123 | — | 3 | 6 | no | — |
| 750 | #123 | — | 3 | 6 | no | — |
| 751 | #123 | — | 3 | 6 | no | — |
| 752 | #123 | — | 3 | 6 | no | — |
| 753 | #123 | — | 3 | 6 | no | — |
| 754 | #123 | — | 3 | 6 | no | — |
| 755 | #123 | — | 3 | 6 | no | — |
| 756 | #123 | — | 3 | 6 | no | — |
| 757 | #123 | — | 3 | 6 | no | — |
| 758 | #123 | — | 3 | 6 | no | — |
| 759 | #123 | — | 3 | 6 | no | — |
| 760 | #123 | — | 3 | 6 | no | — |
| 761 | #123 | C22×D3 | 1 | 6 | yes | — |
| 762 | #123 | C22×D3 | 1 | 6 | yes | — |
| 763 | #123 | C22×D3 | 1 | 6 | yes | — |
| 764 | C22⋊Q8 | — | 3 | 3 | no | — |
| 765 | C22⋊Q8 | — | 3 | 6 | no | — |
| 766 | C22⋊Q8 | — | 3 | 3 | no | — |
| 767 | C22⋊Q8 | — | 3 | 6 | no | — |
| 768 | C22⋊Q8 | — | 3 | 6 | no | — |
| 769 | C22⋊Q8 | — | 3 | 6 | no | — |
| 770 | C22⋊Q8 | — | 3 | 3 | no | — |
| 771 | C22⋊Q8 | — | 3 | 6 | no | — |
| 772 | C22⋊Q8 | — | 3 | 6 | no | — |
| 773 | C22⋊Q8 | — | 3 | 6 | no | — |
| 774 | C22⋊Q8 | — | 3 | 6 | no | — |
| 775 | C22⋊Q8 | — | 3 | 6 | no | — |
| 776 | C22⋊Q8 | — | 3 | 6 | no | — |
| 777 | C22⋊Q8 | — | 3 | 6 | no | — |
| 778 | C22⋊Q8 | — | 3 | 6 | no | — |
| 779 | C22⋊Q8 | — | 3 | 6 | no | — |
| 780 | C22⋊Q8 | — | 3 | 6 | no | — |
| 781 | C22⋊Q8 | — | 3 | 6 | no | — |
| 782 | C22⋊Q8 | — | 3 | 6 | no | — |
| 783 | C22⋊Q8 | — | 3 | 6 | no | — |
| 784 | C22⋊Q8 | — | 3 | 6 | no | — |
| 785 | C22⋊Q8 | — | 3 | 6 | no | — |
| 786 | C22⋊Q8 | — | 3 | 6 | no | — |
| 787 | C22⋊Q8 | — | 3 | 6 | no | — |
| 788 | C22⋊Q8 | C22×D3 | 1 | 3 | yes | — |
| 789 | C22⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 790 | C22⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 791 | C22⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 792 | #121 | — | 3 | 3 | no | — |
| 793 | #121 | — | 3 | 6 | no | — |
| 794 | #121 | — | 3 | 6 | no | — |
| 795 | #121 | — | 3 | 6 | no | — |
| 796 | #121 | — | 3 | 6 | no | — |
| 797 | #121 | — | 3 | 6 | no | — |
| 798 | #121 | — | 3 | 6 | no | — |
| 799 | #121 | — | 3 | 3 | no | — |
| 800 | #121 | — | 3 | 6 | no | — |
| 801 | #121 | — | 3 | 3 | no | — |
| 802 | #121 | — | 3 | 6 | no | — |
| 803 | #121 | — | 3 | 6 | no | — |
| 804 | #121 | — | 3 | 6 | no | — |
| 805 | #121 | — | 3 | 6 | no | — |
| 806 | #121 | — | 3 | 6 | no | — |
| 807 | #121 | — | 3 | 6 | no | — |
| 808 | #121 | — | 3 | 6 | no | — |
| 809 | #121 | — | 3 | 6 | no | — |
| 810 | #121 | C22×D3 | 1 | 3 | yes | — |
| 811 | #121 | C22×D3 | 1 | 6 | yes | — |
| 812 | #120 | — | 3 | 2 | no | — |
| 813 | #120 | — | 3 | 2 | no | — |
| 814 | #120 | — | 3 | 6 | no | — |
| 815 | #120 | — | 3 | 6 | no | — |
| 816 | #120 | — | 3 | 6 | no | — |
| 817 | #120 | — | 3 | 6 | no | — |
| 818 | #120 | — | 3 | 6 | no | — |
| 819 | #120 | — | 3 | 6 | no | — |
| 820 | #120 | — | 3 | 6 | no | — |
| 821 | #120 | — | 3 | 6 | no | — |
| 822 | #120 | C22×D3 | 1 | 6 | yes | — |
| 823 | #120 | C22×D3 | 1 | 2 | yes | — |
| 824 | C4×Q8 | — | 3 | 3 | no | — |
| 825 | C4×Q8 | — | 3 | 6 | no | — |
| 826 | C4×Q8 | — | 3 | 6 | no | — |
| 827 | C4×Q8 | — | 3 | 6 | no | — |
| 828 | C4×Q8 | — | 3 | 6 | no | — |
| 829 | C4×Q8 | — | 3 | 3 | no | — |
| 830 | C4×Q8 | — | 3 | 6 | no | — |
| 831 | C4×Q8 | — | 3 | 6 | no | — |
| 832 | C4×Q8 | — | 3 | 6 | no | — |
| 833 | C4×Q8 | — | 3 | 6 | no | — |
| 834 | C4×Q8 | — | 3 | 6 | no | — |
| 835 | C4×Q8 | — | 3 | 6 | no | — |
| 836 | C4×Q8 | — | 3 | 3 | no | — |
| 837 | C4×Q8 | — | 3 | 6 | no | — |
| 838 | C4×Q8 | — | 3 | 6 | no | — |
| 839 | C4×Q8 | — | 3 | 6 | no | — |
| 840 | C4×Q8 | — | 3 | 6 | no | — |
| 841 | C4×Q8 | — | 3 | 6 | no | — |
| 842 | C4×Q8 | C22×D3 | 1 | 3 | yes | — |
| 843 | C4×Q8 | C22×D3 | 1 | 6 | yes | — |
| 844 | C4×D4 | — | 3 | 6 | no | — |
| 845 | C4×D4 | — | 3 | 3 | no | — |
| 846 | C4×D4 | — | 3 | 6 | no | — |
| 847 | C4×D4 | — | 3 | 6 | no | — |
| 848 | C4×D4 | — | 3 | 6 | no | — |
| 849 | C4×D4 | — | 3 | 6 | no | — |
| 850 | C4×D4 | — | 3 | 6 | no | — |
| 851 | C4×D4 | — | 3 | 6 | no | — |
| 852 | C4×D4 | — | 3 | 6 | no | — |
| 853 | C4×D4 | — | 3 | 6 | no | — |
| 854 | C4×D4 | — | 3 | 6 | no | — |
| 855 | C4×D4 | — | 3 | 6 | no | — |
| 856 | C4×D4 | — | 3 | 6 | no | — |
| 857 | C4×D4 | — | 3 | 3 | no | — |
| 858 | C4×D4 | — | 3 | 6 | no | — |
| 859 | C4×D4 | — | 3 | 6 | no | — |
| 860 | C4×D4 | — | 3 | 6 | no | — |
| 861 | C4×D4 | — | 3 | 6 | no | — |
| 862 | C4×D4 | — | 3 | 6 | no | — |
| 863 | C4×D4 | — | 3 | 6 | no | — |
| 864 | C4×D4 | — | 3 | 6 | no | — |
| 865 | C4×D4 | — | 3 | 6 | no | — |
| 866 | C4×D4 | — | 3 | 6 | no | — |
| 867 | C4×D4 | — | 3 | 6 | no | — |
| 868 | C4×D4 | — | 3 | 6 | no | — |
| 869 | C4×D4 | — | 3 | 6 | no | — |
| 870 | C4×D4 | — | 3 | 6 | no | — |
| 871 | C4×D4 | — | 3 | 3 | no | — |
| 872 | C4×D4 | — | 3 | 6 | no | — |
| 873 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 874 | C4×D4 | C22×D3 | 1 | 3 | yes | — |
| 875 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 876 | #117 | — | 3 | 6 | no | — |
| 877 | #117 | — | 3 | 6 | no | — |
| 878 | #117 | — | 3 | 3 | no | — |
| 879 | #117 | — | 3 | 3 | no | — |
| 880 | #117 | — | 3 | 6 | no | — |
| 881 | #117 | — | 3 | 6 | no | — |
| 882 | #117 | — | 3 | 6 | no | — |
| 883 | #117 | — | 3 | 6 | no | — |
| 884 | #117 | — | 3 | 6 | no | — |
| 885 | #117 | — | 3 | 6 | no | — |
| 886 | #117 | — | 3 | 6 | no | — |
| 887 | #117 | — | 3 | 6 | no | — |
| 888 | #117 | — | 3 | 6 | no | — |
| 889 | #117 | — | 3 | 6 | no | — |
| 890 | #117 | — | 3 | 6 | no | — |
| 891 | #117 | — | 3 | 6 | no | — |
| 892 | #117 | — | 3 | 6 | no | — |
| 893 | #117 | — | 3 | 6 | no | — |
| 894 | #117 | — | 3 | 6 | no | — |
| 895 | #117 | — | 3 | 6 | no | — |
| 896 | #117 | C22×D3 | 1 | 6 | yes | — |
| 897 | #117 | C22×D3 | 1 | 6 | yes | — |
| 898 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 899 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 900 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 901 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 902 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 903 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 904 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 905 | C2×C22⋊C4 | C22×D3 | 1 | 6 | yes | — |
| 906 | C2×C42 | — | 3 | 6 | no | — |
| 907 | C2×C42 | — | 3 | 3 | no | — |
| 908 | C2×C42 | — | 3 | 6 | no | — |
| 909 | C2×C42 | — | 3 | 3 | no | — |
| 910 | C2×C42 | — | 3 | 3 | no | — |
| 911 | C2×C42 | — | 3 | 1 | no | — |
| 912 | C2×C42 | — | 3 | 1 | no | — |
| 913 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 914 | C23×C3 | — | 4 | 6 | no | — |
| 915 | C23×C3 | C25 | 1 | 6 | yes | — |
| 916 | C23×C3 | C25 | 1 | 1 | yes | characteristic |
| 917 | C22×D3 | — | 4 | 3 | no | — |
| 918 | C22×D3 | — | 4 | 6 | no | — |
| 919 | C22×D3 | — | 4 | 6 | no | — |
| 920 | C22×D3 | — | 4 | 6 | no | — |
| 921 | C22×D3 | C25 | 1 | 6 | yes | — |
| 922 | C22×D3 | C25 | 1 | 1 | yes | characteristic |
| 923 | C22×D3 | C25 | 1 | 1 | yes | characteristic |
| 924 | C3×Q8 | — | 4 | 6 | no | — |
| 925 | C3×Q8 | — | 4 | 3 | no | — |
| 926 | C3×D4 | — | 4 | 6 | no | — |
| 927 | C3×D4 | — | 4 | 6 | no | — |
| 928 | C3×D4 | — | 4 | 3 | no | — |
| 929 | C2×C3×C4 | — | 4 | 6 | no | — |
| 930 | C2×C3×C4 | — | 4 | 3 | no | — |
| 931 | C2×C3×C4 | — | 4 | 6 | no | — |
| 932 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 933 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 934 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 935 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 936 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 937 | #67 | — | 2 | 12 | no | — |
| 938 | #67 | — | 2 | 12 | no | — |
| 939 | #67 | — | 4 | 6 | no | — |
| 940 | #67 | — | 4 | 6 | no | — |
| 941 | #67 | — | 4 | 6 | no | — |
| 942 | #67 | — | 4 | 6 | no | — |
| 943 | #67 | — | 4 | 6 | no | — |
| 944 | C2×Dic3 | — | 2 | 12 | no | — |
| 945 | C2×Dic3 | — | 2 | 6 | no | — |
| 946 | C2×Dic3 | — | 4 | 6 | no | — |
| 947 | C2×Dic3 | — | 4 | 6 | no | — |
| 948 | C2×Dic3 | C25 | 1 | 3 | yes | — |
| 949 | C2×Dic3 | C25 | 1 | 6 | yes | — |
| 950 | C2×Dic3 | C25 | 1 | 6 | yes | — |
| 951 | C2×Dic3 | C25 | 1 | 6 | yes | — |
| 952 | C2×Dic3 | C25 | 1 | 3 | yes | — |
| 953 | D12 | — | 4 | 6 | no | — |
| 954 | D12 | — | 4 | 6 | no | — |
| 955 | D12 | — | 4 | 3 | no | — |
| 956 | D12 | — | 4 | 6 | no | — |
| 957 | C4×D3 | — | 2 | 6 | no | — |
| 958 | C4×D3 | — | 2 | 6 | no | — |
| 959 | C4×D3 | — | 2 | 12 | no | — |
| 960 | C4×D3 | — | 4 | 3 | no | — |
| 961 | C4×D3 | — | 4 | 3 | no | — |
| 962 | C4×D3 | — | 4 | 6 | no | — |
| 963 | C4×D3 | — | 4 | 6 | no | — |
| 964 | C4×D3 | — | 4 | 6 | no | — |
| 965 | C4×D3 | — | 4 | 6 | no | — |
| 966 | Dic6 | — | 2 | 12 | no | — |
| 967 | Dic6 | — | 2 | 12 | no | — |
| 968 | Dic6 | — | 4 | 6 | no | — |
| 969 | Dic6 | — | 4 | 6 | no | — |
| 970 | Dic6 | — | 4 | 3 | no | — |
| 971 | Dic6 | — | 4 | 6 | no | — |
| 972 | C24 | — | 3 | 6 | no | — |
| 973 | C24 | — | 3 | 1 | no | — |
| 974 | C24 | C23×D3 | 1 | 2 | yes | — |
| 975 | #41 | — | 12 | 12 | no | — |
| 976 | #41 | — | 12 | 6 | no | — |
| 977 | #41 | — | 12 | 6 | no | — |
| 978 | #41 | — | 12 | 12 | no | — |
| 979 | C2×Q8 | — | 3 | 6 | no | — |
| 980 | C2×Q8 | — | 3 | 6 | no | — |
| 981 | C2×Q8 | — | 3 | 6 | no | — |
| 982 | C2×Q8 | — | 3 | 6 | no | — |
| 983 | C2×Q8 | — | 3 | 6 | no | — |
| 984 | C2×Q8 | — | 3 | 3 | no | — |
| 985 | C2×Q8 | — | 12 | 12 | no | — |
| 986 | C2×Q8 | — | 12 | 12 | no | — |
| 987 | C2×Q8 | C23×D3 | 1 | 6 | yes | — |
| 988 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 989 | C2×D4 | — | 3 | 6 | no | — |
| 990 | C2×D4 | — | 3 | 6 | no | — |
| 991 | C2×D4 | — | 3 | 6 | no | — |
| 992 | C2×D4 | — | 3 | 6 | no | — |
| 993 | C2×D4 | — | 3 | 6 | no | — |
| 994 | C2×D4 | — | 3 | 6 | no | — |
| 995 | C2×D4 | — | 3 | 6 | no | — |
| 996 | C2×D4 | — | 3 | 3 | no | — |
| 997 | C2×D4 | — | 3 | 6 | no | — |
| 998 | C2×D4 | — | 3 | 6 | no | — |
| 999 | C2×D4 | — | 3 | 6 | no | — |
| 1000 | C2×D4 | — | 12 | 12 | no | — |
| 1001 | C2×D4 | — | 12 | 12 | no | — |
| 1002 | C2×D4 | C23×D3 | 1 | 3 | yes | — |
| 1003 | C2×D4 | C23×D3 | 1 | 6 | yes | — |
| 1004 | C2×D4 | C23×D3 | 1 | 6 | yes | — |
| 1005 | C22×C4 | — | 3 | 3 | no | — |
| 1006 | C22×C4 | — | 3 | 6 | no | — |
| 1007 | C22×C4 | — | 3 | 6 | no | — |
| 1008 | C22×C4 | — | 3 | 6 | no | — |
| 1009 | C22×C4 | — | 3 | 3 | no | — |
| 1010 | C22×C4 | — | 3 | 3 | no | — |
| 1011 | C22×C4 | — | 3 | 6 | no | — |
| 1012 | C22×C4 | — | 3 | 3 | no | — |
| 1013 | C22×C4 | — | 3 | 3 | no | — |
| 1014 | C22×C4 | — | 3 | 6 | no | — |
| 1015 | C22×C4 | — | 3 | 6 | no | — |
| 1016 | C22×C4 | — | 3 | 6 | no | — |
| 1017 | C22×C4 | — | 3 | 6 | no | — |
| 1018 | C22×C4 | — | 12 | 6 | no | — |
| 1019 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 1020 | C22×C4 | C23×D3 | 1 | 6 | yes | — |
| 1021 | C22×C4 | C23×D3 | 1 | 6 | yes | — |
| 1022 | C4⋊C4 | — | 3 | 6 | no | — |
| 1023 | C4⋊C4 | — | 3 | 6 | no | — |
| 1024 | C4⋊C4 | — | 3 | 6 | no | — |
| 1025 | C4⋊C4 | — | 3 | 6 | no | — |
| 1026 | C4⋊C4 | — | 3 | 6 | no | — |
| 1027 | C4⋊C4 | — | 3 | 6 | no | — |
| 1028 | C4⋊C4 | — | 3 | 6 | no | — |
| 1029 | C4⋊C4 | — | 3 | 6 | no | — |
| 1030 | C4⋊C4 | — | 3 | 6 | no | — |
| 1031 | C4⋊C4 | — | 3 | 6 | no | — |
| 1032 | C4⋊C4 | — | 3 | 3 | no | — |
| 1033 | C4⋊C4 | — | 3 | 3 | no | — |
| 1034 | C4⋊C4 | — | 3 | 6 | no | — |
| 1035 | C4⋊C4 | — | 3 | 6 | no | — |
| 1036 | C4⋊C4 | — | 3 | 6 | no | — |
| 1037 | C4⋊C4 | — | 3 | 6 | no | — |
| 1038 | C4⋊C4 | — | 3 | 6 | no | — |
| 1039 | C4⋊C4 | — | 3 | 6 | no | — |
| 1040 | C4⋊C4 | — | 3 | 6 | no | — |
| 1041 | C4⋊C4 | — | 3 | 6 | no | — |
| 1042 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1043 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1044 | C4⋊C4 | C23×D3 | 1 | 3 | yes | — |
| 1045 | C4⋊C4 | C23×D3 | 1 | 3 | yes | — |
| 1046 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1047 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1048 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1049 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1050 | C22⋊C4 | — | 3 | 6 | no | — |
| 1051 | C22⋊C4 | — | 3 | 6 | no | — |
| 1052 | C22⋊C4 | — | 3 | 6 | no | — |
| 1053 | C22⋊C4 | — | 3 | 6 | no | — |
| 1054 | C22⋊C4 | — | 3 | 6 | no | — |
| 1055 | C22⋊C4 | — | 3 | 6 | no | — |
| 1056 | C22⋊C4 | — | 3 | 6 | no | — |
| 1057 | C22⋊C4 | — | 3 | 6 | no | — |
| 1058 | C22⋊C4 | — | 3 | 6 | no | — |
| 1059 | C22⋊C4 | — | 3 | 6 | no | — |
| 1060 | C22⋊C4 | — | 3 | 6 | no | — |
| 1061 | C22⋊C4 | — | 3 | 6 | no | — |
| 1062 | C22⋊C4 | — | 3 | 6 | no | — |
| 1063 | C22⋊C4 | — | 3 | 6 | no | — |
| 1064 | C22⋊C4 | — | 3 | 6 | no | — |
| 1065 | C22⋊C4 | — | 3 | 6 | no | — |
| 1066 | C22⋊C4 | — | 3 | 6 | no | — |
| 1067 | C22⋊C4 | — | 3 | 6 | no | — |
| 1068 | C22⋊C4 | — | 3 | 6 | no | — |
| 1069 | C22⋊C4 | — | 3 | 6 | no | — |
| 1070 | C22⋊C4 | — | 3 | 6 | no | — |
| 1071 | C22⋊C4 | — | 3 | 6 | no | — |
| 1072 | C22⋊C4 | — | 3 | 6 | no | — |
| 1073 | C22⋊C4 | — | 3 | 6 | no | — |
| 1074 | C22⋊C4 | — | 3 | 6 | no | — |
| 1075 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1076 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1077 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1078 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1079 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1080 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1081 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1082 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1083 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1084 | C42 | — | 3 | 3 | no | — |
| 1085 | C42 | — | 3 | 3 | no | — |
| 1086 | C42 | — | 3 | 3 | no | — |
| 1087 | C42 | — | 3 | 3 | no | — |
| 1088 | C42 | — | 3 | 6 | no | — |
| 1089 | C42 | — | 3 | 6 | no | — |
| 1090 | C42 | — | 3 | 6 | no | — |
| 1091 | C42 | — | 3 | 6 | no | — |
| 1092 | C42 | — | 3 | 6 | no | — |
| 1093 | C42 | — | 3 | 6 | no | — |
| 1094 | C42 | — | 3 | 6 | no | — |
| 1095 | C42 | — | 3 | 6 | no | — |
| 1096 | C42 | — | 3 | 6 | no | — |
| 1097 | C42 | C23×D3 | 1 | 3 | yes | — |
| 1098 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 1099 | C42 | C23×D3 | 1 | 6 | yes | — |
| 1100 | C42 | C23×D3 | 1 | 2 | yes | — |
| 1101 | C42 | C23×D3 | 1 | 6 | yes | — |
| 1102 | C22×C3 | — | 2 | 6 | no | — |
| 1103 | C22×C3 | — | 2 | 3 | no | — |
| 1104 | C22×C3 | — | 2 | 6 | no | — |
| 1105 | C22×C3 | — | 2 | 6 | no | — |
| 1106 | C22×C3 | — | 16 | 2 | no | — |
| 1107 | C22×C3 | C26 | 1 | 1 | yes | characteristic |
| 1108 | C2×D3 | — | 2 | 6 | no | — |
| 1109 | C2×D3 | — | 2 | 3 | no | — |
| 1110 | C2×D3 | — | 2 | 3 | no | — |
| 1111 | C2×D3 | — | 2 | 6 | no | — |
| 1112 | C2×D3 | — | 2 | 6 | no | — |
| 1113 | C2×D3 | — | 4 | 4 | no | — |
| 1114 | C2×D3 | — | 16 | 6 | no | — |
| 1115 | C3×C4 | — | 2 | 6 | no | — |
| 1116 | C3×C4 | — | 2 | 6 | no | — |
| 1117 | C3×C4 | — | 2 | 3 | no | — |
| 1118 | C3×C4 | — | 2 | 6 | no | — |
| 1119 | C3×C4 | — | 2 | 3 | no | — |
| 1120 | Dic3 | — | 2 | 6 | no | — |
| 1121 | Dic3 | — | 2 | 6 | no | — |
| 1122 | Dic3 | — | 2 | 6 | no | — |
| 1123 | Dic3 | — | 2 | 3 | no | — |
| 1124 | Dic3 | #585 | 1 | 6 | yes | — |
| 1125 | C23 | — | 3 | 6 | no | — |
| 1126 | C23 | — | 3 | 1 | no | — |
| 1127 | C23 | — | 3 | 1 | no | — |
| 1128 | C23 | — | 4 | 6 | no | — |
| 1129 | C23 | — | 12 | 3 | no | — |
| 1130 | C23 | — | 12 | 6 | no | — |
| 1131 | C23 | — | 12 | 6 | no | — |
| 1132 | C23 | — | 12 | 6 | no | — |
| 1133 | C23 | C24×D3 | 1 | 6 | yes | — |
| 1134 | C23 | C24×D3 | 1 | 1 | yes | characteristic |
| 1135 | Q8 | — | 4 | 6 | no | — |
| 1136 | Q8 | — | 4 | 3 | no | — |
| 1137 | Q8 | — | 6 | 12 | no | — |
| 1138 | Q8 | — | 6 | 12 | no | — |
| 1139 | Q8 | — | 12 | 6 | no | — |
| 1140 | Q8 | — | 12 | 6 | no | — |
| 1141 | Q8 | — | 12 | 6 | no | — |
| 1142 | Q8 | — | 12 | 3 | no | — |
| 1143 | D4 | — | 4 | 6 | no | — |
| 1144 | D4 | — | 4 | 3 | no | — |
| 1145 | D4 | — | 4 | 6 | no | — |
| 1146 | D4 | — | 6 | 12 | no | — |
| 1147 | D4 | — | 6 | 12 | no | — |
| 1148 | D4 | — | 12 | 6 | no | — |
| 1149 | D4 | — | 12 | 6 | no | — |
| 1150 | D4 | — | 12 | 3 | no | — |
| 1151 | D4 | — | 12 | 6 | no | — |
| 1152 | D4 | — | 12 | 6 | no | — |
| 1153 | D4 | — | 12 | 6 | no | — |
| 1154 | D4 | — | 12 | 6 | no | — |
| 1155 | D4 | — | 12 | 6 | no | — |
| 1156 | D4 | — | 12 | 6 | no | — |
| 1157 | C2×C4 | — | 3 | 3 | no | — |
| 1158 | C2×C4 | — | 3 | 3 | no | — |
| 1159 | C2×C4 | — | 3 | 6 | no | — |
| 1160 | C2×C4 | — | 3 | 6 | no | — |
| 1161 | C2×C4 | — | 3 | 6 | no | — |
| 1162 | C2×C4 | — | 4 | 3 | no | — |
| 1163 | C2×C4 | — | 4 | 6 | no | — |
| 1164 | C2×C4 | — | 4 | 6 | no | — |
| 1165 | C2×C4 | — | 6 | 6 | no | — |
| 1166 | C2×C4 | — | 6 | 6 | no | — |
| 1167 | C2×C4 | — | 6 | 12 | no | — |
| 1168 | C2×C4 | — | 6 | 6 | no | — |
| 1169 | C2×C4 | — | 6 | 12 | no | — |
| 1170 | C2×C4 | — | 12 | 3 | no | — |
| 1171 | C2×C4 | — | 12 | 3 | no | — |
| 1172 | C2×C4 | — | 12 | 6 | no | — |
| 1173 | C2×C4 | — | 12 | 6 | no | — |
| 1174 | C2×C4 | — | 12 | 6 | no | — |
| 1175 | C2×C4 | — | 12 | 6 | no | — |
| 1176 | C2×C4 | — | 12 | 6 | no | — |
| 1177 | C2×C4 | — | 12 | 6 | no | — |
| 1178 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1179 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 1180 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 1181 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 1182 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1183 | C2×C3 | — | 4 | 1 | no | — |
| 1184 | C2×C3 | — | 4 | 6 | no | — |
| 1185 | C2×C3 | C2×#585 | 1 | 3 | yes | — |
| 1186 | D3 | — | 4 | 1 | no | — |
| 1187 | D3 | — | 4 | 1 | no | — |
| 1188 | D3 | — | 4 | 6 | no | — |
| 1189 | C22 | — | 2 | 6 | no | — |
| 1190 | C22 | — | 2 | 3 | no | — |
| 1191 | C22 | — | 2 | 6 | no | — |
| 1192 | C22 | — | 2 | 6 | no | — |
| 1193 | C22 | — | 6 | 6 | no | — |
| 1194 | C22 | — | 6 | 3 | no | — |
| 1195 | C22 | — | 6 | 3 | no | — |
| 1196 | C22 | — | 6 | 6 | no | — |
| 1197 | C22 | — | 6 | 6 | no | — |
| 1198 | C22 | — | 12 | 4 | no | — |
| 1199 | C22 | — | 16 | 2 | no | — |
| 1200 | C22 | — | 48 | 6 | no | — |
| 1201 | C22 | C25×D3 | 1 | 1 | yes | characteristic |
| 1202 | C4 | — | 2 | 3 | no | — |
| 1203 | C4 | — | 2 | 6 | no | — |
| 1204 | C4 | — | 2 | 3 | no | — |
| 1205 | C4 | — | 2 | 6 | no | — |
| 1206 | C4 | — | 2 | 6 | no | — |
| 1207 | C4 | — | 3 | 6 | no | — |
| 1208 | C4 | — | 6 | 3 | no | — |
| 1209 | C4 | — | 6 | 6 | no | — |
| 1210 | C4 | — | 6 | 6 | no | — |
| 1211 | C4 | — | 6 | 6 | no | — |
| 1212 | C3 | #62841 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1213 | C2 | — | 4 | 1 | no | — |
| 1214 | C2 | — | 4 | 6 | no | — |
| 1215 | C2 | — | 12 | 1 | no | — |
| 1216 | C2 | — | 12 | 1 | no | — |
| 1217 | C2 | — | 12 | 6 | no | — |
| 1218 | C2 | D3×#585 | 1 | 3 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C25×D3 |
| commutator, socle, cosocle | C22×C3 | C26 |
| Fitting | C3×#3568 | C2 |
| hypercenter | #3568 | D3 |
| hypocenter | C3 | #62841 |
| LCS | G ▷ C22×C3 ▷ C3 | |
| UCS | C1 ◁ C22 ◁ #3568 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×#3568 | C2 | semidirect |
| 2. #87126 | C2 | semidirect |
| 3. #87119 | C2 | semidirect |
| 4. #87088 | C2 | semidirect |
| 5. #87087 | C2 | semidirect |
| 6. #86988 | C2 | semidirect |
| 7. #86984 | C2 | semidirect |
| 8. #86797 | C2 | semidirect |
| 9. #86794 | C2 | semidirect |
| 10. #86530 | C2 | semidirect |
| 11. #86527 | C2 | semidirect |
| 12. #86397 | C2 | semidirect |
| 13. #86392 | C2 | semidirect |
| 14. #86144 | C2 | semidirect |
| 15. #86119 | C2 | semidirect |
| 17. C3×#563 | C22 | semidirect |
| 18. C3×H(3,𝔽4) | C22 | semidirect |
| 19. C3×#556 | C22 | semidirect |
| 20. C3×#551 | C22 | semidirect |
| 21. C3×#542 | C22 | semidirect |
| 22. C3×#538 | C22 | semidirect |
| 23. C3×#529 | C22 | semidirect |
| 24. #5733 | C22 | semidirect |
| 25. #5732 | C22 | semidirect |
| 26. #5724 | C22 | semidirect |
| 27. #5722 | C22 | semidirect |
| 28. #5711 | C22 | semidirect |
| 29. #5710 | C22 | semidirect |
| 30. #5710 | C22 | semidirect |
| 31. #5710 | C22 | semidirect |
| 32. #5710 | C22 | semidirect |
| 33. #5706 | C22 | semidirect |
| 34. #5706 | C22 | semidirect |
| 35. #5706 | C22 | semidirect |
| 36. #5705 | C22 | semidirect |
| 37. #5705 | C22 | semidirect |
| 38. #5705 | C22 | semidirect |
| 39. #5704 | C22 | semidirect |
| 40. #5702 | C22 | semidirect |
| 41. #5702 | C22 | semidirect |
| 42. #5702 | C22 | semidirect |
| 43. #5702 | C22 | semidirect |
| 44. #5702 | C22 | semidirect |
| 45. #5702 | C22 | semidirect |
| 46. #5699 | C22 | semidirect |
| 47. #5699 | C22 | semidirect |
| 48. #5691 | C22 | semidirect |
| 49. #5688 | C22 | semidirect |
| 50. #5683 | C22 | semidirect |
| 51. #5683 | C22 | semidirect |
| 52. #5681 | C22 | semidirect |
| 53. #5680 | C22 | semidirect |
| 54. #5677 | C22 | semidirect |
| 56. D3×#124 | C22 | semidirect |
| 57. #5672 | C22 | semidirect |
| 58. #5671 | C22 | semidirect |
| 59. #5671 | C22 | semidirect |
| 60. #5670 | C22 | semidirect |
| 61. #5670 | C22 | semidirect |
| 62. #5670 | C22 | semidirect |
| 63. #5669 | C22 | semidirect |
| 64. #5669 | C22 | semidirect |
| 66. #5664 | C22 | semidirect |
| 67. #5664 | C22 | semidirect |
| 68. #5662 | C22 | semidirect |
| 69. #5662 | C22 | semidirect |
| 70. #5658 | C22 | semidirect |
| 71. #5657 | C22 | semidirect |
| 72. #5657 | C22 | semidirect |
| 73. #5656 | C22 | semidirect |
| 74. #5654 | C22 | semidirect |
| 75. #5649 | C22 | semidirect |
| 76. #5649 | C22 | semidirect |
| 77. #5648 | C22 | semidirect |
| 78. #5644 | C22 | semidirect |
| 79. #5643 | C22 | semidirect |
| 80. #5641 | C22 | semidirect |
| 81. #5640 | C22 | semidirect |
| 82. #5640 | C22 | semidirect |
| 83. #5640 | C22 | semidirect |
| 84. #5640 | C22 | semidirect |
| 85. #5637 | C22 | semidirect |
| 86. #5637 | C22 | semidirect |
| 87. #5633 | C22 | semidirect |
| 88. #5632 | C22 | semidirect |
| 89. #5632 | C22 | semidirect |
| 90. #5627 | C22 | semidirect |
| 91. #5622 | C22 | semidirect |
| 92. #5622 | C22 | semidirect |
| 93. #5620 | C22 | semidirect |
| 94. #5616 | C22 | semidirect |
| 95. #5613 | C22 | semidirect |
| 96. #5610 | C22 | semidirect |
| 97. #5606 | C22 | semidirect |
| 98. #5598 | C22 | semidirect |
| 100. #5594 | C22 | semidirect |
| 101. #5593 | C22 | semidirect |
| 103. #5591 | C22 | semidirect |
| 104. #5590 | C22 | semidirect |
| 105. #5587 | C22 | semidirect |
| 106. #5585 | C22 | semidirect |
| 107. #5578 | C22 | semidirect |
| 108. #5578 | C22 | semidirect |
| 109. C4×#239 | C22 | semidirect |
| 110. #5572 | C22 | semidirect |
| 111. #5568 | C22 | semidirect |
| 112. #5568 | C22 | semidirect |
| 113. #5561 | C22 | semidirect |
| 114. #5560 | C22 | semidirect |
| 115. #5559 | C22 | semidirect |
| 116. #5556 | C22 | semidirect |
| 117. #5552 | C22 | semidirect |
| 119. #5547 | C22 | semidirect |
| 120. #5545 | C22 | semidirect |
| 121. #5538 | C22 | semidirect |
| 122. C4×#237 | C22 | semidirect |
| 123. C4×#237 | C22 | semidirect |
| 124. #5533 | C22 | semidirect |
| 125. #5532 | C22 | semidirect |
| 126. #5528 | C22 | semidirect |
| 127. #5528 | C22 | semidirect |
| 128. #5527 | C22 | semidirect |
| 129. #5527 | C22 | semidirect |
| 130. #5522 | C22 | semidirect |
| 131. #5516 | C22 | semidirect |
| 132. #5495 | C22 | semidirect |
| 133. C2×#885 | C22 | semidirect |
| 134. #5490 | C22 | semidirect |
| 135. #5486 | C22 | semidirect |
| 136. #5479 | C22 | semidirect |
| 137. C2×C42×D3 | C22 | semidirect |
| 141. #3568 | D3 | semidirect |
| 411. #563 | C2×D3 | semidirect |
| 415. H(3,𝔽4) | C2×D3 | semidirect |
| 437. #556 | C2×D3 | semidirect |
| 454. #551 | C2×D3 | semidirect |
| 481. #542 | C2×D3 | semidirect |
| 489. #538 | C2×D3 | semidirect |
| 513. #529 | C2×D3 | semidirect |
| 1212. C3 | #62841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#3568 | 2 |
| #87126 | 2 |
| #87119 | 2 |
| #87088 | 2 |
| #87087 | 2 |
| #86988 | 2 |
| #86984 | 2 |
| #86797 | 2 |
| #86794 | 2 |
| #86530 | 2 |
| #86527 | 2 |
| #86397 | 2 |
| #86392 | 2 |
| #86144 | 2 |
| #86119 | 2 |
| #62841 | 3 |