Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
6274 conjugacy classes of subgroups.
The subgroup lattice has 938 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3×#3531 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D3×#564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #87139 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #87136 | C2 | 1 | 5 | yes | maximal, complemented |
| 5 | #87134 | C2 | 1 | 5 | yes | maximal, complemented |
| 6 | #87133 | C2 | 1 | 5 | yes | maximal, complemented |
| 7 | #87133 | C2 | 1 | 5 | yes | maximal, complemented |
| 8 | #87114 | C2 | 1 | 5 | yes | maximal, complemented |
| 9 | #87106 | C2 | 1 | 5 | yes | maximal, complemented |
| 10 | #86284 | C2 | 1 | 5 | yes | maximal, complemented |
| 11 | #86271 | C2 | 1 | 5 | yes | maximal, complemented |
| 12 | #86186 | C2 | 1 | 5 | yes | maximal, complemented |
| 13 | #86164 | C2 | 1 | 5 | yes | maximal, complemented |
| 14 | #86136 | C2 | 1 | 5 | yes | maximal, complemented |
| 15 | #86123 | C2 | 1 | 5 | yes | maximal, complemented |
| 16 | #63068 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C3×#564 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×#563 | C22 | 1 | 5 | yes | — |
| 19 | C3×#563 | C22 | 1 | 5 | yes | — |
| 20 | C3×#562 | C22 | 1 | 5 | yes | — |
| 21 | C3×#533 | C22 | 1 | 5 | yes | — |
| 22 | C3×#529 | C22 | 1 | 5 | yes | — |
| 23 | C3×#529 | C22 | 1 | 5 | yes | — |
| 24 | #5731 | C22 | 1 | 10 | yes | — |
| 25 | #5730 | C22 | 1 | 5 | yes | — |
| 26 | #5730 | C22 | 1 | 5 | yes | — |
| 27 | #5729 | C22 | 1 | 10 | yes | — |
| 28 | #5726 | C22 | 1 | 5 | yes | — |
| 29 | #5721 | C22 | 1 | 5 | yes | — |
| 30 | #5709 | C22 | 1 | 10 | yes | — |
| 31 | #5709 | C22 | 1 | 10 | yes | — |
| 32 | #5708 | C22 | 1 | 10 | yes | — |
| 33 | #5708 | C22 | 1 | 10 | yes | — |
| 34 | #5707 | C22 | 1 | 10 | yes | — |
| 35 | #5707 | C22 | 1 | 10 | yes | — |
| 36 | #5701 | C22 | 1 | 10 | yes | — |
| 37 | #5701 | C22 | 1 | 10 | yes | — |
| 38 | #5700 | C22 | 1 | 5 | yes | — |
| 39 | #5699 | C22 | 1 | 5 | yes | — |
| 40 | #5699 | C22 | 1 | 5 | yes | — |
| 41 | #5699 | C22 | 1 | 5 | yes | — |
| 42 | #5691 | C22 | 1 | 5 | yes | — |
| 43 | #5691 | C22 | 1 | 5 | yes | — |
| 44 | #5691 | C22 | 1 | 5 | yes | — |
| 45 | #5688 | C22 | 1 | 5 | yes | — |
| 46 | D3×#125 | C22 | 1 | 5 | yes | — |
| 47 | D3×#125 | C22 | 1 | 5 | yes | — |
| 48 | D3×#125 | C22 | 1 | 5 | yes | — |
| 49 | D3×#125 | C22 | 1 | 5 | yes | — |
| 50 | C3⋊#564 | C22 | 1 | 5 | yes | — |
| 51 | C3⋊#564 | C22 | 1 | 5 | yes | — |
| 52 | C3⋊#564 | C22 | 1 | 5 | yes | — |
| 53 | C3⋊#564 | C22 | 1 | 5 | yes | — |
| 54 | #5684 | C22 | 1 | 5 | yes | — |
| 55 | #5684 | C22 | 1 | 5 | yes | — |
| 56 | #5684 | C22 | 1 | 5 | yes | — |
| 57 | #5680 | C22 | 1 | 5 | yes | — |
| 58 | #5680 | C22 | 1 | 5 | yes | — |
| 59 | #5680 | C22 | 1 | 5 | yes | — |
| 60 | #5672 | C22 | 1 | 5 | yes | — |
| 61 | #5668 | C22 | 1 | 5 | yes | — |
| 62 | #5665 | C22 | 1 | 10 | yes | — |
| 63 | #5665 | C22 | 1 | 10 | yes | — |
| 64 | #5663 | C22 | 1 | 10 | yes | — |
| 65 | #5661 | C22 | 1 | 10 | yes | — |
| 66 | #5661 | C22 | 1 | 10 | yes | — |
| 67 | #5660 | C22 | 1 | 10 | yes | — |
| 68 | #5655 | C22 | 1 | 10 | yes | — |
| 69 | #5650 | C22 | 1 | 10 | yes | — |
| 70 | #5645 | C22 | 1 | 10 | yes | — |
| 71 | #5642 | C22 | 1 | 10 | yes | — |
| 72 | #5642 | C22 | 1 | 5 | yes | — |
| 73 | #5639 | C22 | 1 | 10 | yes | — |
| 74 | #5638 | C22 | 1 | 10 | yes | — |
| 75 | #5638 | C22 | 1 | 10 | yes | — |
| 76 | #5638 | C22 | 1 | 10 | yes | — |
| 77 | #5636 | C22 | 1 | 10 | yes | — |
| 78 | #5635 | C22 | 1 | 10 | yes | — |
| 79 | #5635 | C22 | 1 | 5 | yes | — |
| 80 | #5631 | C22 | 1 | 10 | yes | — |
| 81 | #5629 | C22 | 1 | 5 | yes | — |
| 82 | #5625 | C22 | 1 | 5 | yes | — |
| 83 | #5623 | C22 | 1 | 10 | yes | — |
| 84 | #5619 | C22 | 1 | 5 | yes | — |
| 85 | #5618 | C22 | 1 | 5 | yes | — |
| 86 | #5615 | C22 | 1 | 10 | yes | — |
| 87 | #5611 | C22 | 1 | 5 | yes | — |
| 88 | #5608 | C22 | 1 | 5 | yes | — |
| 89 | #5601 | C22 | 1 | 10 | yes | — |
| 90 | #5583 | C22 | 1 | 10 | yes | — |
| 91 | #5583 | C22 | 1 | 5 | yes | — |
| 92 | #5581 | C22 | 1 | 5 | yes | — |
| 93 | #5581 | C22 | 1 | 10 | yes | — |
| 94 | #5574 | C22 | 1 | 5 | yes | — |
| 95 | #5569 | C22 | 1 | 5 | yes | — |
| 96 | #5564 | C22 | 1 | 10 | yes | — |
| 97 | #5562 | C22 | 1 | 5 | yes | — |
| 98 | #5558 | C22 | 1 | 5 | yes | — |
| 99 | #5546 | C22 | 1 | 5 | yes | — |
| 100 | #5540 | C22 | 1 | 10 | yes | — |
| 101 | #5539 | C22 | 1 | 5 | yes | — |
| 102 | #5531 | C22 | 1 | 10 | yes | — |
| 103 | #5531 | C22 | 1 | 10 | yes | — |
| 104 | #5530 | C22 | 1 | 5 | yes | — |
| 105 | #5530 | C22 | 1 | 5 | yes | — |
| 106 | #5529 | C22 | 1 | 5 | yes | — |
| 107 | #5529 | C22 | 1 | 5 | yes | — |
| 108 | #5479 | C22 | 1 | 5 | yes | — |
| 109 | #5479 | C22 | 1 | 5 | yes | — |
| 110 | C4×#235 | C22 | 1 | 5 | yes | — |
| 111 | C2×#870 | C22 | 1 | 5 | yes | — |
| 112 | #3567 | — | 3 | 5 | no | — |
| 113 | #3567 | — | 3 | 5 | no | — |
| 114 | #3563 | — | 3 | 5 | no | — |
| 115 | #3563 | — | 3 | 5 | no | — |
| 116 | #3559 | — | 3 | 5 | no | — |
| 117 | #3559 | — | 3 | 5 | no | — |
| 118 | #3553 | — | 3 | 5 | no | — |
| 119 | #3553 | — | 3 | 5 | no | — |
| 120 | #3553 | — | 3 | 5 | no | — |
| 121 | #3531 | — | 3 | 1 | no | — |
| 122 | #3531 | D3 | 1 | 1 | yes | characteristic, complemented |
| 123 | C2×#564 | — | 3 | 1 | no | — |
| 124 | #3515 | — | 3 | 5 | no | — |
| 125 | #3515 | — | 3 | 5 | no | — |
| 126 | #3512 | — | 3 | 5 | no | — |
| 127 | C2×#239 | C23 | 1 | 5 | yes | — |
| 128 | C2×#237 | C23 | 1 | 5 | yes | — |
| 129 | C2×#235 | C23 | 1 | 5 | yes | — |
| 130 | C3×C4⋊Q8 | C23 | 1 | 5 | yes | — |
| 131 | C3×C4⋊Q8 | C23 | 1 | 5 | yes | — |
| 132 | C3×#126 | C23 | 1 | 10 | yes | — |
| 133 | C3×#126 | C23 | 1 | 10 | yes | — |
| 134 | C3×#125 | C23 | 1 | 5 | yes | — |
| 135 | C3×#125 | C23 | 1 | 5 | yes | — |
| 136 | C3×#125 | C23 | 1 | 5 | yes | — |
| 137 | C3×#125 | C23 | 1 | 5 | yes | — |
| 138 | C3×#124 | C23 | 1 | 5 | yes | — |
| 139 | C3×#124 | C23 | 1 | 5 | yes | — |
| 140 | C3×#123 | C23 | 1 | 10 | yes | — |
| 141 | C3×#123 | C23 | 1 | 10 | yes | — |
| 142 | C3×C22⋊Q8 | C23 | 1 | 10 | yes | — |
| 143 | C3×C22⋊Q8 | C23 | 1 | 5 | yes | — |
| 144 | C3×C22⋊Q8 | C23 | 1 | 5 | yes | — |
| 145 | C3×C22⋊Q8 | C23 | 1 | 10 | yes | — |
| 146 | C3×#121 | C23 | 1 | 5 | yes | — |
| 147 | C3×#121 | C23 | 1 | 5 | yes | — |
| 148 | C3×C4×Q8 | C23 | 1 | 5 | yes | — |
| 149 | C3×C4×Q8 | C23 | 1 | 5 | yes | — |
| 150 | C3×C4×D4 | C23 | 1 | 5 | yes | — |
| 151 | C3×C4×D4 | C23 | 1 | 5 | yes | — |
| 152 | C3×#117 | C23 | 1 | 5 | yes | — |
| 153 | C3×#117 | C23 | 1 | 5 | yes | — |
| 154 | C2×C3×C42 | C23 | 1 | 5 | yes | — |
| 155 | #946 | C23 | 1 | 5 | yes | — |
| 156 | #946 | C23 | 1 | 10 | yes | — |
| 157 | #946 | C23 | 1 | 10 | yes | — |
| 158 | #946 | C23 | 1 | 5 | yes | — |
| 159 | #946 | C23 | 1 | 10 | yes | — |
| 160 | #946 | C23 | 1 | 5 | yes | — |
| 161 | Q8×Dic3 | C23 | 1 | 5 | yes | — |
| 162 | Q8×Dic3 | C23 | 1 | 5 | yes | — |
| 163 | Q8×Dic3 | C23 | 1 | 5 | yes | — |
| 164 | #944 | C23 | 1 | 10 | yes | — |
| 165 | #944 | C23 | 1 | 5 | yes | — |
| 166 | #940 | C23 | 1 | 5 | yes | — |
| 167 | #939 | C23 | 1 | 10 | yes | — |
| 168 | #939 | C23 | 1 | 10 | yes | — |
| 169 | #939 | C23 | 1 | 10 | yes | — |
| 170 | #938 | C23 | 1 | 5 | yes | — |
| 171 | #938 | C23 | 1 | 5 | yes | — |
| 172 | #938 | C23 | 1 | 5 | yes | — |
| 173 | #935 | C23 | 1 | 10 | yes | — |
| 174 | D4×Dic3 | C23 | 1 | 5 | yes | — |
| 175 | D4×Dic3 | C23 | 1 | 5 | yes | — |
| 176 | D4×Dic3 | C23 | 1 | 5 | yes | — |
| 177 | #930 | C23 | 1 | 5 | yes | — |
| 178 | #930 | C23 | 1 | 5 | yes | — |
| 179 | #929 | C23 | 1 | 10 | yes | — |
| 180 | #929 | C23 | 1 | 10 | yes | — |
| 181 | C4×#67 | C23 | 1 | 5 | yes | — |
| 182 | C4×#67 | C23 | 1 | 10 | yes | — |
| 183 | C4×#67 | C23 | 1 | 10 | yes | — |
| 184 | C4×#67 | C23 | 1 | 5 | yes | — |
| 185 | C4×#67 | C23 | 1 | 5 | yes | — |
| 186 | C4×#67 | C23 | 1 | 5 | yes | — |
| 187 | #926 | C23 | 1 | 5 | yes | — |
| 188 | C2×C4⋊Dic3 | C23 | 1 | 5 | yes | — |
| 189 | C2×C4⋊Dic3 | C23 | 1 | 5 | yes | — |
| 190 | #924 | C23 | 1 | 5 | yes | — |
| 191 | #924 | C23 | 1 | 5 | yes | — |
| 192 | C2×Dic3⋊C4 | C23 | 1 | 10 | yes | — |
| 193 | C2×Dic3⋊C4 | C23 | 1 | 10 | yes | — |
| 194 | #898 | C23 | 1 | 10 | yes | — |
| 195 | #898 | C23 | 1 | 10 | yes | — |
| 196 | #898 | C23 | 1 | 10 | yes | — |
| 197 | #898 | C23 | 1 | 10 | yes | — |
| 198 | #898 | C23 | 1 | 10 | yes | — |
| 199 | #897 | C23 | 1 | 5 | yes | — |
| 200 | #897 | C23 | 1 | 5 | yes | — |
| 201 | #897 | C23 | 1 | 10 | yes | — |
| 202 | #897 | C23 | 1 | 5 | yes | — |
| 203 | #896 | C23 | 1 | 10 | yes | — |
| 204 | #896 | C23 | 1 | 10 | yes | — |
| 205 | #896 | C23 | 1 | 10 | yes | — |
| 206 | #895 | C23 | 1 | 5 | yes | — |
| 207 | #895 | C23 | 1 | 5 | yes | — |
| 208 | #895 | C23 | 1 | 5 | yes | — |
| 209 | #894 | C23 | 1 | 10 | yes | — |
| 210 | #894 | C23 | 1 | 10 | yes | — |
| 211 | #894 | C23 | 1 | 10 | yes | — |
| 212 | #894 | C23 | 1 | 10 | yes | — |
| 213 | #893 | C23 | 1 | 5 | yes | — |
| 214 | #893 | C23 | 1 | 5 | yes | — |
| 215 | #893 | C23 | 1 | 10 | yes | — |
| 216 | #893 | C23 | 1 | 5 | yes | — |
| 217 | #892 | C23 | 1 | 5 | yes | — |
| 218 | #892 | C23 | 1 | 10 | yes | — |
| 219 | #892 | C23 | 1 | 5 | yes | — |
| 220 | D3×C4⋊C4 | C23 | 1 | 10 | yes | — |
| 221 | D3×C4⋊C4 | C23 | 1 | 5 | yes | — |
| 222 | D3×C4⋊C4 | C23 | 1 | 5 | yes | — |
| 223 | D3×C4⋊C4 | C23 | 1 | 5 | yes | — |
| 224 | D3×C4⋊C4 | C23 | 1 | 5 | yes | — |
| 225 | D3×C4⋊C4 | C23 | 1 | 10 | yes | — |
| 226 | D3×C4⋊C4 | C23 | 1 | 5 | yes | — |
| 227 | D3×C4⋊C4 | C23 | 1 | 5 | yes | — |
| 228 | D3×C4⋊C4 | C23 | 1 | 5 | yes | — |
| 229 | D3×C4⋊C4 | C23 | 1 | 5 | yes | — |
| 230 | #890 | C23 | 1 | 10 | yes | — |
| 231 | #890 | C23 | 1 | 5 | yes | — |
| 232 | #890 | C23 | 1 | 5 | yes | — |
| 233 | #890 | C23 | 1 | 10 | yes | — |
| 234 | #890 | C23 | 1 | 5 | yes | — |
| 235 | #890 | C23 | 1 | 5 | yes | — |
| 236 | #890 | C23 | 1 | 5 | yes | — |
| 237 | #890 | C23 | 1 | 5 | yes | — |
| 238 | #890 | C23 | 1 | 5 | yes | — |
| 239 | #890 | C23 | 1 | 5 | yes | — |
| 240 | #889 | C23 | 1 | 10 | yes | — |
| 241 | #889 | C23 | 1 | 10 | yes | — |
| 242 | #889 | C23 | 1 | 10 | yes | — |
| 243 | #889 | C23 | 1 | 10 | yes | — |
| 244 | #889 | C23 | 1 | 10 | yes | — |
| 245 | #889 | C23 | 1 | 10 | yes | — |
| 246 | #889 | C23 | 1 | 10 | yes | — |
| 247 | #889 | C23 | 1 | 10 | yes | — |
| 248 | #889 | C23 | 1 | 10 | yes | — |
| 249 | #889 | C23 | 1 | 10 | yes | — |
| 250 | #889 | C23 | 1 | 10 | yes | — |
| 251 | #889 | C23 | 1 | 10 | yes | — |
| 252 | #888 | C23 | 1 | 10 | yes | — |
| 253 | #888 | C23 | 1 | 5 | yes | — |
| 254 | #888 | C23 | 1 | 5 | yes | — |
| 255 | #887 | C23 | 1 | 5 | yes | — |
| 256 | #887 | C23 | 1 | 5 | yes | — |
| 257 | #887 | C23 | 1 | 5 | yes | — |
| 258 | #886 | C23 | 1 | 10 | yes | — |
| 259 | #886 | C23 | 1 | 10 | yes | — |
| 260 | #886 | C23 | 1 | 10 | yes | — |
| 261 | #884 | C23 | 1 | 10 | yes | — |
| 262 | #884 | C23 | 1 | 10 | yes | — |
| 263 | #884 | C23 | 1 | 10 | yes | — |
| 264 | #884 | C23 | 1 | 10 | yes | — |
| 265 | #884 | C23 | 1 | 10 | yes | — |
| 266 | #883 | C23 | 1 | 10 | yes | — |
| 267 | #883 | C23 | 1 | 10 | yes | — |
| 268 | #883 | C23 | 1 | 10 | yes | — |
| 269 | #883 | C23 | 1 | 10 | yes | — |
| 270 | #883 | C23 | 1 | 10 | yes | — |
| 271 | #883 | C23 | 1 | 10 | yes | — |
| 272 | #67⋊C4 | C23 | 1 | 10 | yes | — |
| 273 | #67⋊C4 | C23 | 1 | 10 | yes | — |
| 274 | #67⋊C4 | C23 | 1 | 10 | yes | — |
| 275 | #67⋊C4 | C23 | 1 | 10 | yes | — |
| 276 | #67⋊C4 | C23 | 1 | 10 | yes | — |
| 277 | #879 | C23 | 1 | 10 | yes | — |
| 278 | #879 | C23 | 1 | 10 | yes | — |
| 279 | #879 | C23 | 1 | 10 | yes | — |
| 280 | #879 | C23 | 1 | 10 | yes | — |
| 281 | #879 | C23 | 1 | 10 | yes | — |
| 282 | #878 | C23 | 1 | 10 | yes | — |
| 283 | #878 | C23 | 1 | 10 | yes | — |
| 284 | #878 | C23 | 1 | 10 | yes | — |
| 285 | #878 | C23 | 1 | 10 | yes | — |
| 286 | #878 | C23 | 1 | 10 | yes | — |
| 287 | #877 | C23 | 1 | 10 | yes | — |
| 288 | #877 | C23 | 1 | 10 | yes | — |
| 289 | #877 | C23 | 1 | 10 | yes | — |
| 290 | #876 | C23 | 1 | 10 | yes | — |
| 291 | #876 | C23 | 1 | 10 | yes | — |
| 292 | #875 | C23 | 1 | 5 | yes | — |
| 293 | #875 | C23 | 1 | 5 | yes | — |
| 294 | C4×D12 | C23 | 1 | 5 | yes | — |
| 295 | C4×D12 | C23 | 1 | 5 | yes | — |
| 296 | C4×D12 | C23 | 1 | 5 | yes | — |
| 297 | C4×D12 | C23 | 1 | 5 | yes | — |
| 298 | #872 | C23 | 1 | 10 | yes | — |
| 299 | #872 | C23 | 1 | 5 | yes | — |
| 300 | #872 | C23 | 1 | 5 | yes | — |
| 301 | #872 | C23 | 1 | 10 | yes | — |
| 302 | C42×D3 | C23 | 1 | 5 | yes | — |
| 303 | C42×D3 | C23 | 1 | 5 | yes | — |
| 304 | #870 | C23 | 1 | 5 | yes | — |
| 305 | #870 | C23 | 1 | 5 | yes | — |
| 306 | #870 | C23 | 1 | 5 | yes | — |
| 307 | #870 | C23 | 1 | 5 | yes | — |
| 308 | #870 | C23 | 1 | 10 | yes | — |
| 309 | #870 | C23 | 1 | 5 | yes | — |
| 310 | #870 | C23 | 1 | 10 | yes | — |
| 311 | #870 | C23 | 1 | 5 | yes | — |
| 312 | C4×Dic6 | C23 | 1 | 5 | yes | — |
| 313 | C4×Dic6 | C23 | 1 | 5 | yes | — |
| 314 | C4×Dic6 | C23 | 1 | 5 | yes | — |
| 315 | C4×Dic6 | C23 | 1 | 5 | yes | — |
| 316 | #564 | — | 3 | 5 | no | — |
| 317 | #564 | — | 3 | 5 | no | — |
| 318 | #564 | — | 3 | 5 | no | — |
| 319 | #564 | — | 3 | 5 | no | — |
| 320 | #564 | C2×D3 | 1 | 1 | yes | characteristic |
| 321 | #563 | — | 3 | 5 | no | — |
| 322 | #563 | — | 3 | 5 | no | — |
| 323 | #563 | — | 3 | 5 | no | — |
| 324 | #563 | — | 3 | 5 | no | — |
| 325 | #563 | C2×D3 | 1 | 5 | yes | — |
| 326 | #563 | C2×D3 | 1 | 5 | yes | — |
| 327 | #562 | — | 3 | 5 | no | — |
| 328 | #562 | — | 3 | 5 | no | — |
| 329 | #562 | — | 3 | 5 | no | — |
| 330 | #562 | — | 3 | 5 | no | — |
| 331 | #562 | C2×D3 | 1 | 5 | yes | — |
| 332 | #557 | — | 3 | 5 | no | — |
| 333 | #557 | — | 3 | 5 | no | — |
| 334 | #554 | — | 3 | 5 | no | — |
| 335 | #554 | — | 3 | 5 | no | — |
| 336 | #554 | — | 3 | 5 | no | — |
| 337 | #554 | — | 3 | 10 | no | — |
| 338 | #554 | — | 3 | 10 | no | — |
| 339 | #554 | — | 3 | 5 | no | — |
| 340 | #553 | — | 3 | 10 | no | — |
| 341 | #553 | — | 3 | 10 | no | — |
| 342 | #553 | — | 3 | 10 | no | — |
| 343 | #553 | — | 3 | 10 | no | — |
| 344 | #553 | — | 3 | 5 | no | — |
| 345 | #553 | — | 3 | 10 | no | — |
| 346 | #553 | — | 3 | 10 | no | — |
| 347 | #553 | — | 3 | 5 | no | — |
| 348 | #553 | — | 3 | 5 | no | — |
| 349 | #553 | — | 3 | 5 | no | — |
| 350 | #552 | — | 3 | 10 | no | — |
| 351 | #552 | — | 3 | 10 | no | — |
| 352 | #552 | — | 3 | 10 | no | — |
| 353 | #552 | — | 3 | 10 | no | — |
| 354 | #552 | — | 3 | 5 | no | — |
| 355 | #552 | — | 3 | 10 | no | — |
| 356 | #552 | — | 3 | 5 | no | — |
| 357 | #552 | — | 3 | 10 | no | — |
| 358 | #552 | — | 3 | 5 | no | — |
| 359 | #552 | — | 3 | 5 | no | — |
| 360 | #552 | — | 3 | 10 | no | — |
| 361 | #552 | — | 3 | 10 | no | — |
| 362 | #547 | — | 3 | 5 | no | — |
| 363 | #547 | — | 3 | 10 | no | — |
| 364 | #547 | — | 3 | 10 | no | — |
| 365 | #547 | — | 3 | 5 | no | — |
| 366 | #544 | — | 3 | 10 | no | — |
| 367 | #544 | — | 3 | 10 | no | — |
| 368 | #541 | — | 3 | 10 | no | — |
| 369 | #541 | — | 3 | 10 | no | — |
| 370 | #541 | — | 3 | 10 | no | — |
| 371 | #541 | — | 3 | 5 | no | — |
| 372 | #541 | — | 3 | 5 | no | — |
| 373 | #541 | — | 3 | 10 | no | — |
| 374 | #540 | — | 3 | 10 | no | — |
| 375 | #540 | — | 3 | 5 | no | — |
| 376 | #540 | — | 3 | 10 | no | — |
| 377 | #540 | — | 3 | 5 | no | — |
| 378 | #539 | — | 3 | 10 | no | — |
| 379 | #539 | — | 3 | 10 | no | — |
| 380 | #539 | — | 3 | 10 | no | — |
| 381 | #539 | — | 3 | 10 | no | — |
| 382 | #539 | — | 3 | 10 | no | — |
| 383 | #539 | — | 3 | 10 | no | — |
| 384 | #539 | — | 3 | 10 | no | — |
| 385 | #539 | — | 3 | 10 | no | — |
| 386 | #539 | — | 3 | 10 | no | — |
| 387 | #539 | — | 3 | 10 | no | — |
| 388 | #537 | — | 3 | 5 | no | — |
| 389 | #537 | — | 3 | 5 | no | — |
| 390 | #533 | — | 3 | 5 | no | — |
| 391 | #533 | C2×D3 | 1 | 5 | yes | — |
| 392 | #532 | — | 3 | 5 | no | — |
| 393 | #529 | — | 3 | 5 | no | — |
| 394 | #529 | — | 3 | 5 | no | — |
| 395 | #529 | — | 3 | 5 | no | — |
| 396 | #529 | — | 3 | 5 | no | — |
| 397 | #529 | — | 3 | 5 | no | — |
| 398 | #529 | — | 3 | 5 | no | — |
| 399 | #529 | — | 3 | 5 | no | — |
| 400 | #529 | — | 3 | 5 | no | — |
| 401 | #529 | C2×D3 | 1 | 5 | yes | — |
| 402 | #529 | C2×D3 | 1 | 5 | yes | — |
| 403 | C2×#125 | — | 3 | 5 | no | — |
| 404 | C2×#125 | — | 3 | 5 | no | — |
| 405 | C2×#125 | — | 3 | 5 | no | — |
| 406 | C2×#125 | — | 3 | 5 | no | — |
| 407 | C2×#125 | — | 3 | 5 | no | — |
| 408 | #520 | — | 3 | 5 | no | — |
| 409 | #520 | — | 3 | 5 | no | — |
| 410 | C4×#41 | — | 3 | 5 | no | — |
| 411 | C2×C3×Q8 | C24 | 1 | 5 | yes | — |
| 412 | C2×C3×Q8 | C24 | 1 | 5 | yes | — |
| 413 | C2×C3×D4 | C24 | 1 | 5 | yes | — |
| 414 | C2×C3×D4 | C24 | 1 | 5 | yes | — |
| 415 | C22×C3×C4 | C24 | 1 | 5 | yes | — |
| 416 | C22×C3×C4 | C24 | 1 | 5 | yes | — |
| 417 | C22×C3×C4 | C24 | 1 | 5 | yes | — |
| 418 | C2×#67 | C24 | 1 | 5 | yes | — |
| 419 | C2×#67 | C24 | 1 | 10 | yes | — |
| 420 | C2×#67 | C24 | 1 | 10 | yes | — |
| 421 | C2×#67 | C24 | 1 | 5 | yes | — |
| 422 | C22×Dic3 | C24 | 1 | 10 | yes | — |
| 423 | C22×Dic3 | C24 | 1 | 10 | yes | — |
| 424 | #239 | — | 4 | 10 | no | — |
| 425 | #237 | — | 4 | 10 | no | — |
| 426 | #235 | — | 4 | 10 | no | — |
| 427 | C2×D12 | C24 | 1 | 5 | yes | — |
| 428 | C2×D12 | C24 | 1 | 5 | yes | — |
| 429 | C2×D12 | C24 | 1 | 5 | yes | — |
| 430 | C2×C4×D3 | C24 | 1 | 5 | yes | — |
| 431 | C2×C4×D3 | C24 | 1 | 5 | yes | — |
| 432 | C2×C4×D3 | C24 | 1 | 5 | yes | — |
| 433 | C2×C4×D3 | C24 | 1 | 5 | yes | — |
| 434 | C2×C4×D3 | C24 | 1 | 5 | yes | — |
| 435 | C2×C4×D3 | C24 | 1 | 5 | yes | — |
| 436 | C2×C4×D3 | C24 | 1 | 10 | yes | — |
| 437 | C2×C4×D3 | C24 | 1 | 10 | yes | — |
| 438 | C2×Dic6 | C24 | 1 | 5 | yes | — |
| 439 | C2×Dic6 | C24 | 1 | 5 | yes | — |
| 440 | C2×Dic6 | C24 | 1 | 5 | yes | — |
| 441 | C3×C4⋊C4 | C24 | 1 | 5 | yes | — |
| 442 | C3×C4⋊C4 | C24 | 1 | 5 | yes | — |
| 443 | C3×C4⋊C4 | C24 | 1 | 5 | yes | — |
| 444 | C3×C4⋊C4 | C24 | 1 | 5 | yes | — |
| 445 | C3×C4⋊C4 | C24 | 1 | 5 | yes | — |
| 446 | C3×C4⋊C4 | C24 | 1 | 10 | yes | — |
| 447 | C3×C4⋊C4 | C24 | 1 | 5 | yes | — |
| 448 | C3×C4⋊C4 | C24 | 1 | 5 | yes | — |
| 449 | C3×C4⋊C4 | C24 | 1 | 5 | yes | — |
| 450 | C3×C4⋊C4 | C24 | 1 | 10 | yes | — |
| 451 | C3×C22⋊C4 | C24 | 1 | 10 | yes | — |
| 452 | C3×C22⋊C4 | C24 | 1 | 10 | yes | — |
| 453 | C3×C22⋊C4 | C24 | 1 | 10 | yes | — |
| 454 | C3×C22⋊C4 | C24 | 1 | 10 | yes | — |
| 455 | C3×C42 | C24 | 1 | 5 | yes | — |
| 456 | C3×C42 | C24 | 1 | 5 | yes | — |
| 457 | C3×C42 | C24 | 1 | 5 | yes | — |
| 458 | C3×C42 | C24 | 1 | 5 | yes | — |
| 459 | #217 | C24 | 1 | 10 | yes | — |
| 460 | #217 | C24 | 1 | 5 | yes | — |
| 461 | #217 | C24 | 1 | 5 | yes | — |
| 462 | #217 | C24 | 1 | 10 | yes | — |
| 463 | (C2×D3)⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 464 | (C2×D3)⋊C4 | C24 | 1 | 5 | yes | — |
| 465 | (C2×D3)⋊C4 | C24 | 1 | 5 | yes | — |
| 466 | (C2×D3)⋊C4 | C24 | 1 | 5 | yes | — |
| 467 | (C2×D3)⋊C4 | C24 | 1 | 10 | yes | — |
| 468 | (C2×D3)⋊C4 | C24 | 1 | 10 | yes | — |
| 469 | (C2×D3)⋊C4 | C24 | 1 | 10 | yes | — |
| 470 | (C2×D3)⋊C4 | C24 | 1 | 10 | yes | — |
| 471 | (C2×D3)⋊C4 | C24 | 1 | 10 | yes | — |
| 472 | (C2×D3)⋊C4 | C24 | 1 | 10 | yes | — |
| 473 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 474 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 475 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 476 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 477 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 478 | C4⋊Dic3 | C24 | 1 | 10 | yes | — |
| 479 | C4⋊Dic3 | C24 | 1 | 10 | yes | — |
| 480 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 481 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 482 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 483 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 484 | C4⋊Dic3 | C24 | 1 | 5 | yes | — |
| 485 | Dic3⋊C4 | C24 | 1 | 5 | yes | — |
| 486 | Dic3⋊C4 | C24 | 1 | 5 | yes | — |
| 487 | Dic3⋊C4 | C24 | 1 | 5 | yes | — |
| 488 | Dic3⋊C4 | C24 | 1 | 5 | yes | — |
| 489 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 490 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 491 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 492 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 493 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 494 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 495 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 496 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 497 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 498 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 499 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 500 | Dic3⋊C4 | C24 | 1 | 10 | yes | — |
| 501 | C4×Dic3 | C24 | 1 | 5 | yes | — |
| 502 | C4×Dic3 | C24 | 1 | 5 | yes | — |
| 503 | C4×Dic3 | C24 | 1 | 5 | yes | — |
| 504 | C4×Dic3 | C24 | 1 | 5 | yes | — |
| 505 | C4×Dic3 | C24 | 1 | 10 | yes | — |
| 506 | C4×Dic3 | C24 | 1 | 10 | yes | — |
| 507 | C4×Dic3 | C24 | 1 | 5 | yes | — |
| 508 | C4×Dic3 | C24 | 1 | 5 | yes | — |
| 509 | C2×#41 | — | 3 | 5 | no | — |
| 510 | C2×#41 | — | 3 | 5 | no | — |
| 511 | C2×#41 | — | 3 | 5 | no | — |
| 512 | C4⋊Q8 | — | 3 | 5 | no | — |
| 513 | C4⋊Q8 | — | 3 | 10 | no | — |
| 514 | C4⋊Q8 | — | 3 | 5 | no | — |
| 515 | C4⋊Q8 | — | 3 | 5 | no | — |
| 516 | C4⋊Q8 | — | 3 | 10 | no | — |
| 517 | C4⋊Q8 | C22×D3 | 1 | 5 | yes | — |
| 518 | C4⋊Q8 | C22×D3 | 1 | 5 | yes | — |
| 519 | #127 | — | 3 | 5 | no | — |
| 520 | #126 | — | 3 | 10 | no | — |
| 521 | #126 | — | 3 | 10 | no | — |
| 522 | #126 | — | 3 | 10 | no | — |
| 523 | #126 | — | 3 | 10 | no | — |
| 524 | #126 | — | 3 | 10 | no | — |
| 525 | #126 | — | 3 | 10 | no | — |
| 526 | #126 | — | 3 | 10 | no | — |
| 527 | #126 | — | 3 | 10 | no | — |
| 528 | #126 | — | 3 | 10 | no | — |
| 529 | #126 | — | 3 | 10 | no | — |
| 530 | #126 | — | 3 | 10 | no | — |
| 531 | #126 | — | 3 | 10 | no | — |
| 532 | #126 | C22×D3 | 1 | 10 | yes | — |
| 533 | #126 | C22×D3 | 1 | 10 | yes | — |
| 534 | #125 | — | 3 | 10 | no | — |
| 535 | #125 | — | 3 | 5 | no | — |
| 536 | #125 | — | 3 | 5 | no | — |
| 537 | #125 | — | 3 | 5 | no | — |
| 538 | #125 | — | 3 | 5 | no | — |
| 539 | #125 | — | 3 | 10 | no | — |
| 540 | #125 | — | 3 | 10 | no | — |
| 541 | #125 | — | 3 | 10 | no | — |
| 542 | #125 | — | 3 | 10 | no | — |
| 543 | #125 | — | 3 | 10 | no | — |
| 544 | #125 | — | 3 | 5 | no | — |
| 545 | #125 | — | 3 | 5 | no | — |
| 546 | #125 | — | 3 | 10 | no | — |
| 547 | #125 | — | 3 | 10 | no | — |
| 548 | #125 | — | 3 | 5 | no | — |
| 549 | #125 | — | 3 | 5 | no | — |
| 550 | #125 | — | 3 | 10 | no | — |
| 551 | #125 | — | 3 | 10 | no | — |
| 552 | #125 | — | 3 | 10 | no | — |
| 553 | #125 | — | 3 | 10 | no | — |
| 554 | #125 | — | 3 | 10 | no | — |
| 555 | #125 | — | 3 | 10 | no | — |
| 556 | #125 | — | 3 | 5 | no | — |
| 557 | #125 | — | 3 | 5 | no | — |
| 558 | #125 | — | 3 | 5 | no | — |
| 559 | #125 | — | 3 | 5 | no | — |
| 560 | #125 | — | 3 | 10 | no | — |
| 561 | #125 | — | 3 | 10 | no | — |
| 562 | #125 | — | 3 | 5 | no | — |
| 563 | #125 | — | 3 | 5 | no | — |
| 564 | #125 | C22×D3 | 1 | 5 | yes | — |
| 565 | #125 | C22×D3 | 1 | 5 | yes | — |
| 566 | #125 | C22×D3 | 1 | 5 | yes | — |
| 567 | #125 | C22×D3 | 1 | 5 | yes | — |
| 568 | #124 | — | 3 | 5 | no | — |
| 569 | #124 | — | 3 | 5 | no | — |
| 570 | #124 | C22×D3 | 1 | 5 | yes | — |
| 571 | #124 | C22×D3 | 1 | 5 | yes | — |
| 572 | #123 | — | 3 | 10 | no | — |
| 573 | #123 | — | 3 | 10 | no | — |
| 574 | #123 | — | 3 | 10 | no | — |
| 575 | #123 | — | 3 | 10 | no | — |
| 576 | #123 | — | 3 | 10 | no | — |
| 577 | #123 | — | 3 | 10 | no | — |
| 578 | #123 | — | 3 | 10 | no | — |
| 579 | #123 | — | 3 | 10 | no | — |
| 580 | #123 | — | 3 | 10 | no | — |
| 581 | #123 | — | 3 | 10 | no | — |
| 582 | #123 | — | 3 | 10 | no | — |
| 583 | #123 | — | 3 | 10 | no | — |
| 584 | #123 | — | 3 | 10 | no | — |
| 585 | #123 | — | 3 | 10 | no | — |
| 586 | #123 | — | 3 | 10 | no | — |
| 587 | #123 | — | 3 | 10 | no | — |
| 588 | #123 | C22×D3 | 1 | 10 | yes | — |
| 589 | #123 | C22×D3 | 1 | 10 | yes | — |
| 590 | C22⋊Q8 | — | 3 | 5 | no | — |
| 591 | C22⋊Q8 | — | 3 | 5 | no | — |
| 592 | C22⋊Q8 | — | 3 | 5 | no | — |
| 593 | C22⋊Q8 | — | 3 | 10 | no | — |
| 594 | C22⋊Q8 | — | 3 | 10 | no | — |
| 595 | C22⋊Q8 | — | 3 | 10 | no | — |
| 596 | C22⋊Q8 | — | 3 | 5 | no | — |
| 597 | C22⋊Q8 | — | 3 | 5 | no | — |
| 598 | C22⋊Q8 | — | 3 | 5 | no | — |
| 599 | C22⋊Q8 | — | 3 | 5 | no | — |
| 600 | C22⋊Q8 | — | 3 | 5 | no | — |
| 601 | C22⋊Q8 | — | 3 | 10 | no | — |
| 602 | C22⋊Q8 | — | 3 | 10 | no | — |
| 603 | C22⋊Q8 | — | 3 | 10 | no | — |
| 604 | C22⋊Q8 | — | 3 | 10 | no | — |
| 605 | C22⋊Q8 | — | 3 | 10 | no | — |
| 606 | C22⋊Q8 | — | 3 | 10 | no | — |
| 607 | C22⋊Q8 | — | 3 | 10 | no | — |
| 608 | C22⋊Q8 | — | 3 | 10 | no | — |
| 609 | C22⋊Q8 | — | 3 | 10 | no | — |
| 610 | C22⋊Q8 | C22×D3 | 1 | 5 | yes | — |
| 611 | C22⋊Q8 | C22×D3 | 1 | 5 | yes | — |
| 612 | C22⋊Q8 | C22×D3 | 1 | 10 | yes | — |
| 613 | C22⋊Q8 | C22×D3 | 1 | 10 | yes | — |
| 614 | #121 | — | 3 | 5 | no | — |
| 615 | #121 | — | 3 | 5 | no | — |
| 616 | #121 | — | 3 | 5 | no | — |
| 617 | #121 | — | 3 | 10 | no | — |
| 618 | #121 | — | 3 | 10 | no | — |
| 619 | #121 | — | 3 | 10 | no | — |
| 620 | #121 | — | 3 | 5 | no | — |
| 621 | #121 | — | 3 | 5 | no | — |
| 622 | #121 | — | 3 | 5 | no | — |
| 623 | #121 | — | 3 | 5 | no | — |
| 624 | #121 | — | 3 | 5 | no | — |
| 625 | #121 | — | 3 | 10 | no | — |
| 626 | #121 | — | 3 | 10 | no | — |
| 627 | #121 | — | 3 | 10 | no | — |
| 628 | #121 | — | 3 | 10 | no | — |
| 629 | #121 | — | 3 | 10 | no | — |
| 630 | #121 | C22×D3 | 1 | 5 | yes | — |
| 631 | #121 | C22×D3 | 1 | 5 | yes | — |
| 632 | C4×Q8 | — | 3 | 5 | no | — |
| 633 | C4×Q8 | — | 3 | 5 | no | — |
| 634 | C4×Q8 | — | 3 | 5 | no | — |
| 635 | C4×Q8 | — | 3 | 5 | no | — |
| 636 | C4×Q8 | — | 3 | 5 | no | — |
| 637 | C4×Q8 | — | 3 | 5 | no | — |
| 638 | C4×Q8 | — | 3 | 5 | no | — |
| 639 | C4×Q8 | — | 3 | 5 | no | — |
| 640 | C4×Q8 | — | 3 | 5 | no | — |
| 641 | C4×Q8 | — | 3 | 5 | no | — |
| 642 | C4×Q8 | C22×D3 | 1 | 5 | yes | — |
| 643 | C4×Q8 | C22×D3 | 1 | 5 | yes | — |
| 644 | C4×D4 | — | 3 | 5 | no | — |
| 645 | C4×D4 | — | 3 | 5 | no | — |
| 646 | C4×D4 | — | 3 | 5 | no | — |
| 647 | C4×D4 | — | 3 | 5 | no | — |
| 648 | C4×D4 | — | 3 | 5 | no | — |
| 649 | C4×D4 | — | 3 | 5 | no | — |
| 650 | C4×D4 | — | 3 | 5 | no | — |
| 651 | C4×D4 | — | 3 | 10 | no | — |
| 652 | C4×D4 | — | 3 | 10 | no | — |
| 653 | C4×D4 | — | 3 | 5 | no | — |
| 654 | C4×D4 | — | 3 | 10 | no | — |
| 655 | C4×D4 | — | 3 | 5 | no | — |
| 656 | C4×D4 | — | 3 | 5 | no | — |
| 657 | C4×D4 | — | 3 | 10 | no | — |
| 658 | C4×D4 | — | 3 | 10 | no | — |
| 659 | C4×D4 | — | 3 | 10 | no | — |
| 660 | C4×D4 | — | 3 | 10 | no | — |
| 661 | C4×D4 | — | 3 | 10 | no | — |
| 662 | C4×D4 | — | 3 | 5 | no | — |
| 663 | C4×D4 | — | 3 | 5 | no | — |
| 664 | C4×D4 | — | 3 | 5 | no | — |
| 665 | C4×D4 | — | 3 | 5 | no | — |
| 666 | C4×D4 | C22×D3 | 1 | 5 | yes | — |
| 667 | C4×D4 | C22×D3 | 1 | 5 | yes | — |
| 668 | #117 | — | 3 | 5 | no | — |
| 669 | #117 | — | 3 | 5 | no | — |
| 670 | #117 | — | 3 | 5 | no | — |
| 671 | #117 | — | 3 | 10 | no | — |
| 672 | #117 | — | 3 | 10 | no | — |
| 673 | #117 | — | 3 | 10 | no | — |
| 674 | #117 | — | 3 | 10 | no | — |
| 675 | #117 | — | 3 | 5 | no | — |
| 676 | #117 | — | 3 | 5 | no | — |
| 677 | #117 | — | 3 | 10 | no | — |
| 678 | #117 | — | 3 | 10 | no | — |
| 679 | #117 | C22×D3 | 1 | 5 | yes | — |
| 680 | #117 | C22×D3 | 1 | 5 | yes | — |
| 681 | C2×C4⋊C4 | — | 3 | 10 | no | — |
| 682 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 683 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 684 | C2×C4⋊C4 | — | 3 | 10 | no | — |
| 685 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 686 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 687 | C2×C4⋊C4 | — | 3 | 10 | no | — |
| 688 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 689 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 690 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 691 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 692 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 693 | C2×C4⋊C4 | — | 3 | 5 | no | — |
| 694 | C2×C4⋊C4 | — | 3 | 10 | no | — |
| 695 | C2×C42 | — | 3 | 5 | no | — |
| 696 | C2×C42 | — | 3 | 5 | no | — |
| 697 | C2×C42 | C22×D3 | 1 | 5 | yes | — |
| 698 | C23×C3 | C25 | 1 | 5 | yes | — |
| 699 | C22×D3 | C25 | 1 | 5 | yes | — |
| 700 | C22×D3 | C25 | 1 | 1 | yes | characteristic |
| 701 | C3×Q8 | — | 4 | 5 | no | — |
| 702 | C3×Q8 | — | 4 | 5 | no | — |
| 703 | C3×D4 | — | 4 | 5 | no | — |
| 704 | C3×D4 | — | 4 | 5 | no | — |
| 705 | C2×C3×C4 | — | 4 | 5 | no | — |
| 706 | C2×C3×C4 | — | 4 | 5 | no | — |
| 707 | C2×C3×C4 | — | 4 | 5 | no | — |
| 708 | C2×C3×C4 | C25 | 1 | 5 | yes | — |
| 709 | C2×C3×C4 | C25 | 1 | 5 | yes | — |
| 710 | C2×C3×C4 | C25 | 1 | 5 | yes | — |
| 711 | C2×C3×C4 | C25 | 1 | 5 | yes | — |
| 712 | C2×C3×C4 | C25 | 1 | 5 | yes | — |
| 713 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 714 | #67 | — | 2 | 10 | no | — |
| 715 | #67 | — | 4 | 5 | no | — |
| 716 | #67 | — | 4 | 10 | no | — |
| 717 | #67 | — | 4 | 10 | no | — |
| 718 | C2×Dic3 | — | 4 | 10 | no | — |
| 719 | C2×Dic3 | — | 4 | 10 | no | — |
| 720 | C2×Dic3 | C25 | 1 | 1 | yes | characteristic |
| 721 | C2×Dic3 | C25 | 1 | 5 | yes | — |
| 722 | C2×Dic3 | C25 | 1 | 5 | yes | — |
| 723 | C2×Dic3 | C25 | 1 | 5 | yes | — |
| 724 | C2×Dic3 | C25 | 1 | 5 | yes | — |
| 725 | C2×Dic3 | C25 | 1 | 5 | yes | — |
| 726 | D12 | — | 2 | 10 | no | — |
| 727 | D12 | — | 4 | 5 | no | — |
| 728 | D12 | — | 4 | 5 | no | — |
| 729 | C4×D3 | — | 2 | 10 | no | — |
| 730 | C4×D3 | — | 4 | 5 | no | — |
| 731 | C4×D3 | — | 4 | 5 | no | — |
| 732 | C4×D3 | — | 4 | 5 | no | — |
| 733 | C4×D3 | — | 4 | 10 | no | — |
| 734 | C4×D3 | — | 4 | 5 | no | — |
| 735 | C4×D3 | — | 4 | 5 | no | — |
| 736 | C4×D3 | — | 4 | 10 | no | — |
| 737 | Dic6 | — | 4 | 5 | no | — |
| 738 | Dic6 | — | 4 | 5 | no | — |
| 739 | Dic6 | — | 4 | 5 | no | — |
| 740 | #41 | — | 12 | 10 | no | — |
| 741 | #41 | — | 12 | 10 | no | — |
| 742 | #41 | — | 12 | 10 | no | — |
| 743 | C2×Q8 | — | 3 | 5 | no | — |
| 744 | C2×Q8 | — | 3 | 5 | no | — |
| 745 | C2×Q8 | — | 3 | 5 | no | — |
| 746 | C2×Q8 | C23×D3 | 1 | 5 | yes | — |
| 747 | C2×Q8 | C23×D3 | 1 | 5 | yes | — |
| 748 | C2×D4 | — | 3 | 5 | no | — |
| 749 | C2×D4 | — | 3 | 10 | no | — |
| 750 | C2×D4 | — | 3 | 10 | no | — |
| 751 | C2×D4 | — | 3 | 5 | no | — |
| 752 | C2×D4 | — | 3 | 5 | no | — |
| 753 | C2×D4 | — | 3 | 5 | no | — |
| 754 | C2×D4 | — | 3 | 5 | no | — |
| 755 | C2×D4 | C23×D3 | 1 | 5 | yes | — |
| 756 | C2×D4 | C23×D3 | 1 | 5 | yes | — |
| 757 | C22×C4 | — | 3 | 10 | no | — |
| 758 | C22×C4 | — | 3 | 10 | no | — |
| 759 | C22×C4 | — | 3 | 5 | no | — |
| 760 | C22×C4 | — | 3 | 5 | no | — |
| 761 | C22×C4 | — | 3 | 5 | no | — |
| 762 | C22×C4 | — | 3 | 5 | no | — |
| 763 | C22×C4 | — | 3 | 5 | no | — |
| 764 | C22×C4 | — | 3 | 5 | no | — |
| 765 | C22×C4 | — | 3 | 10 | no | — |
| 766 | C22×C4 | — | 3 | 10 | no | — |
| 767 | C22×C4 | C23×D3 | 1 | 5 | yes | — |
| 768 | C22×C4 | C23×D3 | 1 | 5 | yes | — |
| 769 | C22×C4 | C23×D3 | 1 | 5 | yes | — |
| 770 | C4⋊C4 | — | 3 | 5 | no | — |
| 771 | C4⋊C4 | — | 3 | 5 | no | — |
| 772 | C4⋊C4 | — | 3 | 5 | no | — |
| 773 | C4⋊C4 | — | 3 | 5 | no | — |
| 774 | C4⋊C4 | — | 3 | 10 | no | — |
| 775 | C4⋊C4 | — | 3 | 10 | no | — |
| 776 | C4⋊C4 | — | 3 | 10 | no | — |
| 777 | C4⋊C4 | — | 3 | 10 | no | — |
| 778 | C4⋊C4 | — | 3 | 5 | no | — |
| 779 | C4⋊C4 | — | 3 | 5 | no | — |
| 780 | C4⋊C4 | — | 3 | 5 | no | — |
| 781 | C4⋊C4 | — | 3 | 5 | no | — |
| 782 | C4⋊C4 | — | 3 | 10 | no | — |
| 783 | C4⋊C4 | — | 3 | 10 | no | — |
| 784 | C4⋊C4 | — | 3 | 10 | no | — |
| 785 | C4⋊C4 | — | 3 | 10 | no | — |
| 786 | C4⋊C4 | — | 3 | 10 | no | — |
| 787 | C4⋊C4 | — | 3 | 10 | no | — |
| 788 | C4⋊C4 | — | 3 | 5 | no | — |
| 789 | C4⋊C4 | — | 3 | 5 | no | — |
| 790 | C4⋊C4 | — | 3 | 10 | no | — |
| 791 | C4⋊C4 | — | 3 | 10 | no | — |
| 792 | C4⋊C4 | — | 3 | 10 | no | — |
| 793 | C4⋊C4 | — | 3 | 5 | no | — |
| 794 | C4⋊C4 | — | 3 | 5 | no | — |
| 795 | C4⋊C4 | — | 3 | 10 | no | — |
| 796 | C4⋊C4 | — | 3 | 5 | no | — |
| 797 | C4⋊C4 | — | 3 | 5 | no | — |
| 798 | C4⋊C4 | C23×D3 | 1 | 5 | yes | — |
| 799 | C4⋊C4 | C23×D3 | 1 | 5 | yes | — |
| 800 | C4⋊C4 | C23×D3 | 1 | 10 | yes | — |
| 801 | C4⋊C4 | C23×D3 | 1 | 5 | yes | — |
| 802 | C4⋊C4 | C23×D3 | 1 | 5 | yes | — |
| 803 | C4⋊C4 | C23×D3 | 1 | 5 | yes | — |
| 804 | C4⋊C4 | C23×D3 | 1 | 5 | yes | — |
| 805 | C4⋊C4 | C23×D3 | 1 | 5 | yes | — |
| 806 | C4⋊C4 | C23×D3 | 1 | 10 | yes | — |
| 807 | C4⋊C4 | C23×D3 | 1 | 5 | yes | — |
| 808 | C22⋊C4 | — | 3 | 5 | no | — |
| 809 | C22⋊C4 | — | 3 | 10 | no | — |
| 810 | C22⋊C4 | — | 3 | 5 | no | — |
| 811 | C22⋊C4 | — | 3 | 10 | no | — |
| 812 | C22⋊C4 | — | 3 | 1 | no | — |
| 813 | C22⋊C4 | — | 3 | 5 | no | — |
| 814 | C22⋊C4 | — | 3 | 10 | no | — |
| 815 | C22⋊C4 | — | 3 | 10 | no | — |
| 816 | C22⋊C4 | — | 3 | 10 | no | — |
| 817 | C22⋊C4 | — | 3 | 5 | no | — |
| 818 | C22⋊C4 | — | 3 | 5 | no | — |
| 819 | C22⋊C4 | — | 3 | 10 | no | — |
| 820 | C22⋊C4 | — | 3 | 10 | no | — |
| 821 | C22⋊C4 | — | 3 | 10 | no | — |
| 822 | C22⋊C4 | C23×D3 | 1 | 10 | yes | — |
| 823 | C22⋊C4 | C23×D3 | 1 | 10 | yes | — |
| 824 | C22⋊C4 | C23×D3 | 1 | 10 | yes | — |
| 825 | C22⋊C4 | C23×D3 | 1 | 10 | yes | — |
| 826 | C42 | — | 3 | 5 | no | — |
| 827 | C42 | — | 3 | 5 | no | — |
| 828 | C42 | — | 3 | 5 | no | — |
| 829 | C42 | — | 3 | 5 | no | — |
| 830 | C42 | — | 3 | 5 | no | — |
| 831 | C42 | — | 3 | 5 | no | — |
| 832 | C42 | — | 3 | 10 | no | — |
| 833 | C42 | — | 3 | 10 | no | — |
| 834 | C42 | C23×D3 | 1 | 5 | yes | — |
| 835 | C42 | C23×D3 | 1 | 5 | yes | — |
| 836 | C42 | C23×D3 | 1 | 5 | yes | — |
| 837 | C42 | C23×D3 | 1 | 5 | yes | — |
| 838 | C22×C3 | — | 2 | 5 | no | — |
| 839 | C22×C3 | — | 2 | 5 | no | — |
| 840 | C22×C3 | — | 2 | 5 | no | — |
| 841 | C22×C3 | C26 | 1 | 1 | yes | characteristic |
| 842 | C2×D3 | — | 2 | 1 | no | — |
| 843 | C2×D3 | — | 2 | 1 | no | — |
| 844 | C2×D3 | — | 2 | 5 | no | — |
| 845 | C2×D3 | — | 2 | 5 | no | — |
| 846 | C2×D3 | — | 2 | 5 | no | — |
| 847 | C2×D3 | #585 | 1 | 2 | yes | — |
| 848 | C3×C4 | — | 2 | 5 | no | — |
| 849 | C3×C4 | — | 2 | 5 | no | — |
| 850 | C3×C4 | — | 2 | 5 | no | — |
| 851 | C3×C4 | — | 2 | 5 | no | — |
| 852 | C3×C4 | — | 2 | 5 | no | — |
| 853 | C3×C4 | — | 2 | 1 | no | — |
| 854 | Dic3 | — | 2 | 5 | no | — |
| 855 | Dic3 | — | 2 | 5 | no | — |
| 856 | Dic3 | — | 2 | 5 | no | — |
| 857 | Dic3 | — | 2 | 1 | no | — |
| 858 | Dic3 | — | 2 | 5 | no | — |
| 859 | Dic3 | — | 2 | 5 | no | — |
| 860 | C23 | — | 3 | 1 | no | — |
| 861 | C23 | — | 3 | 5 | no | — |
| 862 | C23 | C24×D3 | 1 | 5 | yes | — |
| 863 | Q8 | — | 4 | 5 | no | — |
| 864 | Q8 | — | 4 | 5 | no | — |
| 865 | Q8 | — | 12 | 5 | no | — |
| 866 | Q8 | — | 12 | 5 | no | — |
| 867 | Q8 | — | 12 | 5 | no | — |
| 868 | D4 | — | 4 | 5 | no | — |
| 869 | D4 | — | 4 | 5 | no | — |
| 870 | D4 | — | 6 | 10 | no | — |
| 871 | D4 | — | 6 | 10 | no | — |
| 872 | D4 | — | 12 | 5 | no | — |
| 873 | D4 | — | 12 | 5 | no | — |
| 874 | D4 | — | 12 | 5 | no | — |
| 875 | D4 | — | 12 | 10 | no | — |
| 876 | D4 | — | 12 | 10 | no | — |
| 877 | C2×C4 | — | 3 | 1 | no | — |
| 878 | C2×C4 | — | 3 | 5 | no | — |
| 879 | C2×C4 | — | 3 | 5 | no | — |
| 880 | C2×C4 | — | 3 | 5 | no | — |
| 881 | C2×C4 | — | 3 | 5 | no | — |
| 882 | C2×C4 | — | 3 | 5 | no | — |
| 883 | C2×C4 | — | 4 | 5 | no | — |
| 884 | C2×C4 | — | 4 | 5 | no | — |
| 885 | C2×C4 | — | 4 | 5 | no | — |
| 886 | C2×C4 | — | 6 | 10 | no | — |
| 887 | C2×C4 | — | 12 | 5 | no | — |
| 888 | C2×C4 | — | 12 | 10 | no | — |
| 889 | C2×C4 | — | 12 | 5 | no | — |
| 890 | C2×C4 | — | 12 | 5 | no | — |
| 891 | C2×C4 | — | 12 | 5 | no | — |
| 892 | C2×C4 | — | 12 | 5 | no | — |
| 893 | C2×C4 | — | 12 | 10 | no | — |
| 894 | C2×C4 | — | 12 | 10 | no | — |
| 895 | C2×C4 | — | 12 | 10 | no | — |
| 896 | C2×C4 | C24×D3 | 1 | 5 | yes | — |
| 897 | C2×C4 | C24×D3 | 1 | 5 | yes | — |
| 898 | C2×C4 | C24×D3 | 1 | 5 | yes | — |
| 899 | C2×C4 | C24×D3 | 1 | 5 | yes | — |
| 900 | C2×C4 | C24×D3 | 1 | 5 | yes | — |
| 901 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 902 | C2×C3 | — | 4 | 5 | no | — |
| 903 | C2×C3 | C2×#585 | 1 | 1 | yes | characteristic |
| 904 | C2×C3 | 2−1+6 | 1 | 1 | yes | characteristic |
| 905 | C2×C3 | 2−1+6 | 1 | 1 | yes | characteristic |
| 906 | D3 | — | 2 | 2 | no | — |
| 907 | D3 | — | 4 | 5 | no | — |
| 908 | C22 | — | 2 | 5 | no | — |
| 909 | C22 | — | 2 | 5 | no | — |
| 910 | C22 | — | 2 | 5 | no | — |
| 911 | C22 | — | 3 | 2 | no | — |
| 912 | C22 | — | 6 | 1 | no | — |
| 913 | C22 | — | 6 | 1 | no | — |
| 914 | C22 | — | 6 | 5 | no | — |
| 915 | C22 | — | 6 | 5 | no | — |
| 916 | C22 | — | 6 | 5 | no | — |
| 917 | C22 | C25×D3 | 1 | 1 | yes | characteristic |
| 918 | C4 | — | 2 | 1 | no | — |
| 919 | C4 | — | 2 | 5 | no | — |
| 920 | C4 | — | 2 | 5 | no | — |
| 921 | C4 | — | 2 | 5 | no | — |
| 922 | C4 | — | 2 | 5 | no | — |
| 923 | C4 | — | 2 | 5 | no | — |
| 924 | C4 | — | 6 | 5 | no | — |
| 925 | C4 | — | 6 | 5 | no | — |
| 926 | C4 | — | 6 | 1 | no | — |
| 927 | C4 | — | 6 | 5 | no | — |
| 928 | C4 | — | 6 | 5 | no | — |
| 929 | C4 | — | 6 | 5 | no | — |
| 930 | C3 | #63068 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 931 | C2 | — | 4 | 5 | no | — |
| 932 | C2 | — | 6 | 2 | no | — |
| 933 | C2 | — | 12 | 5 | no | — |
| 934 | C2 | #87571 | 1 | 1 | yes | characteristic |
| 935 | C2 | #87572 | 1 | 1 | yes | characteristic |
| 936 | C2 | D3×#585 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C25×D3 |
| commutator, socle, cosocle | C22×C3 | C26 |
| Fitting | C3×#3531 | C2 |
| hypercenter | #3531 | D3 |
| hypocenter | C3 | #63068 |
| LCS | G ▷ C22×C3 ▷ C3 | |
| UCS | C1 ◁ C22 ◁ #3531 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×#3531 | C2 | semidirect |
| 2. D3×#564 | C2 | semidirect |
| 3. #87139 | C2 | semidirect |
| 4. #87136 | C2 | semidirect |
| 5. #87134 | C2 | semidirect |
| 6. #87133 | C2 | semidirect |
| 7. #87133 | C2 | semidirect |
| 8. #87114 | C2 | semidirect |
| 9. #87106 | C2 | semidirect |
| 10. #86284 | C2 | semidirect |
| 11. #86271 | C2 | semidirect |
| 12. #86186 | C2 | semidirect |
| 13. #86164 | C2 | semidirect |
| 14. #86136 | C2 | semidirect |
| 15. #86123 | C2 | semidirect |
| 122. #3531 | D3 | semidirect |
| 930. C3 | #63068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#3531 | 2 |
| D3×#564 | 2 |
| #87139 | 2 |
| #87136 | 2 |
| #87134 | 2 |
| #87133 | 2 |
| #87114 | 2 |
| #87106 | 2 |
| #86284 | 2 |
| #86271 | 2 |
| #86186 | 2 |
| #86164 | 2 |
| #86136 | 2 |
| #86123 | 2 |
| #63068 | 3 |