← #72318441
Subgroups — #72318441
Order 2048.
At least 9449 conjugacy classes of subgroups; only the 1968 normal subgroups are shown.
The subgroup lattice has 774 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72318406 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72318401 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72318388 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72318384 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #72318374 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #72318158 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72318127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72317910 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #72317877 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #72317831 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #72317783 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #72317777 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #72286200 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #72284544 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | C2×#63011 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#62852 | C22 | 1 | 1 | yes | characteristic |
| 17 | #7760099 | C4 | 1 | 4 | yes | complemented |
| 18 | #7759725 | C22 | 1 | 2 | yes | — |
| 19 | #7744647 | C22 | 1 | 1 | yes | characteristic |
| 20 | #7743196 | C4 | 1 | 2 | yes | complemented |
| 21 | #7739265 | C22 | 1 | 1 | yes | characteristic |
| 22 | #7737411 | C4 | 1 | 2 | yes | complemented |
| 23 | #7726441 | C4 | 1 | 4 | yes | complemented |
| 24 | #7726041 | C22 | 1 | 2 | yes | — |
| 25 | #7715213 | C22 | 1 | 1 | yes | characteristic |
| 26 | #7714555 | C4 | 1 | 2 | yes | complemented |
| 27 | #7708257 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#52004 | C4 | 1 | 2 | yes | complemented |
| 29 | #7656942 | C22 | 1 | 2 | yes | — |
| 30 | #7632941 | C22 | 1 | 2 | yes | — |
| 31 | #7627594 | C22 | 1 | 1 | yes | characteristic |
| 32 | #6374293 | C22 | 1 | 2 | yes | complemented |
| 33 | #6374281 | C22 | 1 | 2 | yes | complemented |
| 34 | #6370954 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #6370940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #6344254 | C22 | 1 | 2 | yes | complemented |
| 37 | #6343928 | C22 | 1 | 2 | yes | complemented |
| 38 | #6342576 | C22 | 1 | 2 | yes | complemented |
| 39 | #361633 | C22 | 1 | 2 | yes | complemented |
| 40 | #361633 | C22 | 1 | 2 | yes | complemented |
| 41 | #361631 | C22 | 1 | 2 | yes | — |
| 42 | #361631 | C22 | 1 | 2 | yes | complemented |
| 43 | #201546 | C22 | 1 | 4 | yes | complemented |
| 44 | #201459 | C22 | 1 | 4 | yes | complemented |
| 45 | #200670 | C22 | 1 | 4 | yes | complemented |
| 46 | #200591 | C22 | 1 | 4 | yes | complemented |
| 47 | #197451 | C22 | 1 | 4 | yes | complemented |
| 48 | #197326 | C22 | 1 | 4 | yes | complemented |
| 49 | #195020 | C22 | 1 | 4 | yes | complemented |
| 50 | #194664 | C22 | 1 | 4 | yes | complemented |
| 51 | #190360 | C22 | 1 | 4 | yes | complemented |
| 52 | #190292 | C22 | 1 | 4 | yes | complemented |
| 53 | #187836 | C22 | 1 | 2 | yes | — |
| 54 | #187831 | C22 | 1 | 2 | yes | complemented |
| 55 | #187811 | C22 | 1 | 2 | yes | complemented |
| 56 | #187807 | C22 | 1 | 2 | yes | complemented |
| 57 | #187400 | C22 | 1 | 4 | yes | complemented |
| 58 | #186576 | C22 | 1 | 4 | yes | complemented |
| 59 | #186303 | C22 | 1 | 8 | yes | complemented |
| 60 | #185779 | C22 | 1 | 4 | yes | complemented |
| 61 | #185459 | C22 | 1 | 4 | yes | complemented |
| 62 | #113076 | C22 | 1 | 8 | yes | complemented |
| 63 | #113067 | C22 | 1 | 8 | yes | complemented |
| 64 | #112922 | C22 | 1 | 8 | yes | complemented |
| 65 | #112910 | C22 | 1 | 8 | yes | complemented |
| 66 | #107744 | C22 | 1 | 4 | yes | complemented |
| 67 | #107494 | C22 | 1 | 8 | yes | complemented |
| 68 | #107334 | C22 | 1 | 4 | yes | complemented |
| 69 | C22×#585 | D4 | 1 | 1 | yes | characteristic |
| 70 | C23×H(5,𝔽2) | D4 | 1 | 1 | yes | characteristic |
| 71 | C2×#3500 | C2×C4 | 1 | 2 | yes | — |
| 72 | C2×#3500 | D4 | 1 | 2 | yes | — |
| 73 | C2×#3500 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×#3500 | D4 | 1 | 1 | yes | characteristic |
| 75 | C2×#3500 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×#3500 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×#3498 | C2×C4 | 1 | 2 | yes | — |
| 78 | C2×#3498 | D4 | 1 | 2 | yes | — |
| 79 | C2×#3498 | D4 | 1 | 1 | yes | characteristic |
| 80 | C2×#3498 | D4 | 1 | 1 | yes | characteristic |
| 81 | C2×#3498 | C23 | 1 | 2 | yes | — |
| 82 | C2×#3498 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×#3498 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×#3519 | C2×C4 | 1 | 4 | yes | — |
| 85 | C2×#3549 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#3543 | C2×C4 | 1 | 2 | yes | — |
| 87 | C2×#3481 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×#3481 | C23 | 1 | 2 | yes | — |
| 89 | C22×D42 | C2×C4 | 1 | 2 | yes | — |
| 90 | C2×#3449 | C2×C4 | 1 | 2 | yes | — |
| 91 | C2×#3449 | D4 | 1 | 2 | yes | — |
| 92 | C2×#3449 | D4 | 1 | 1 | yes | characteristic |
| 93 | C2×#3449 | C23 | 1 | 1 | yes | characteristic |
| 94 | C22×#535 | C2×C4 | 1 | 2 | yes | — |
| 95 | C22×#535 | D4 | 1 | 2 | yes | — |
| 96 | C22×#535 | D4 | 1 | 1 | yes | characteristic |
| 97 | C22×#535 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×#3428 | C23 | 1 | 1 | yes | characteristic |
| 99 | #60282 | C23 | 1 | 4 | yes | complemented |
| 100 | C2×#2921 | C23 | 1 | 2 | yes | complemented |
| 101 | #52083 | C2×C4 | 1 | 2 | yes | — |
| 102 | #52083 | C2×C4 | 1 | 4 | yes | — |
| 103 | #52083 | C2×C4 | 1 | 2 | yes | — |
| 104 | #52071 | C2×C4 | 1 | 2 | yes | — |
| 105 | #52071 | C2×C4 | 1 | 2 | yes | — |
| 106 | #52071 | C2×C4 | 1 | 4 | yes | — |
| 107 | #52054 | C2×C4 | 1 | 1 | yes | characteristic |
| 108 | #52054 | C2×C4 | 1 | 1 | yes | characteristic |
| 109 | #52054 | C2×C4 | 1 | 2 | yes | — |
| 110 | #52005 | C2×C4 | 1 | 4 | yes | — |
| 111 | #52005 | C2×C4 | 1 | 4 | yes | — |
| 112 | #52005 | C2×C4 | 1 | 4 | yes | — |
| 113 | #52005 | C2×C4 | 1 | 4 | yes | — |
| 114 | #52004 | C2×C4 | 1 | 1 | yes | characteristic |
| 115 | #52004 | C2×C4 | 1 | 4 | yes | — |
| 116 | #52004 | C2×C4 | 1 | 2 | yes | — |
| 117 | #52004 | C2×C4 | 1 | 2 | yes | — |
| 118 | #52004 | C2×C4 | 1 | 2 | yes | — |
| 119 | #52004 | C2×C4 | 1 | 4 | yes | — |
| 120 | #52004 | C2×C4 | 1 | 1 | yes | characteristic |
| 121 | #52004 | C2×C4 | 1 | 4 | yes | — |
| 122 | #52004 | C2×C4 | 1 | 4 | yes | — |
| 123 | #52004 | C2×C4 | 1 | 2 | yes | — |
| 124 | #52004 | C2×C4 | 1 | 2 | yes | — |
| 125 | #37618 | C23 | 1 | 2 | yes | — |
| 126 | #37606 | C2×C4 | 1 | 4 | yes | — |
| 127 | #37556 | C2×C4 | 1 | 4 | yes | — |
| 128 | #37536 | C23 | 1 | 2 | yes | — |
| 129 | #36041 | D4 | 1 | 2 | yes | — |
| 130 | #36032 | D4 | 1 | 4 | yes | — |
| 131 | #36031 | D4 | 1 | 2 | yes | — |
| 132 | #35844 | D4 | 1 | 2 | yes | — |
| 133 | #35840 | D4 | 1 | 4 | yes | — |
| 134 | #35836 | D4 | 1 | 2 | yes | — |
| 135 | #35738 | D4 | 1 | 2 | yes | — |
| 136 | #35729 | D4 | 1 | 4 | yes | — |
| 137 | #35728 | D4 | 1 | 2 | yes | — |
| 138 | #35701 | D4 | 1 | 2 | yes | — |
| 139 | #35692 | D4 | 1 | 4 | yes | — |
| 140 | #35691 | D4 | 1 | 2 | yes | — |
| 141 | #35301 | C23 | 1 | 2 | yes | — |
| 142 | #35237 | C2×C4 | 1 | 4 | yes | — |
| 143 | #35190 | C23 | 1 | 2 | yes | — |
| 144 | #35144 | C2×C4 | 1 | 4 | yes | — |
| 145 | #35129 | C23 | 1 | 2 | yes | — |
| 146 | #35118 | C2×C4 | 1 | 4 | yes | — |
| 147 | #34963 | C2×C4 | 1 | 4 | yes | — |
| 148 | #34909 | C23 | 1 | 2 | yes | — |
| 149 | #34875 | C23 | 1 | 2 | yes | — |
| 150 | C2×#2598 | C2×C4 | 1 | 4 | yes | — |
| 151 | #34609 | C23 | 1 | 2 | yes | — |
| 152 | C2×#2631 | C2×C4 | 1 | 4 | yes | — |
| 153 | #34388 | C2×C4 | 1 | 4 | yes | — |
| 154 | #34369 | C23 | 1 | 1 | yes | characteristic |
| 155 | #34364 | C2×C4 | 1 | 2 | yes | — |
| 156 | #34364 | C23 | 1 | 2 | yes | — |
| 157 | #34346 | C23 | 1 | 1 | yes | characteristic |
| 158 | C2×#2380 | C2×C4 | 1 | 2 | yes | — |
| 159 | #34195 | C23 | 1 | 2 | yes | — |
| 160 | #34048 | C23 | 1 | 2 | yes | complemented |
| 161 | #21261 | C23 | 1 | 4 | yes | complemented |
| 162 | #21260 | C23 | 1 | 4 | yes | — |
| 163 | #21209 | C23 | 1 | 4 | yes | — |
| 164 | #21209 | C23 | 1 | 4 | yes | complemented |
| 165 | #20747 | C23 | 1 | 8 | yes | complemented |
| 166 | #20637 | C23 | 1 | 2 | yes | — |
| 167 | #20637 | C23 | 1 | 2 | yes | complemented |
| 168 | C4×#410 | C23 | 1 | 2 | yes | — |
| 169 | C4×#410 | C23 | 1 | 2 | yes | complemented |
| 170 | #17745 | C23 | 1 | 8 | yes | complemented |
| 171 | #17741 | C23 | 1 | 4 | yes | — |
| 172 | #17738 | C23 | 1 | 4 | yes | complemented |
| 173 | #17666 | C23 | 1 | 4 | yes | complemented |
| 174 | #17663 | C23 | 1 | 4 | yes | — |
| 175 | #17544 | C23 | 1 | 8 | yes | complemented |
| 176 | #17451 | C23 | 1 | 8 | yes | complemented |
| 177 | #17366 | C23 | 1 | 4 | yes | — |
| 178 | #17357 | C23 | 1 | 4 | yes | complemented |
| 179 | #8093 | C23 | 1 | 8 | yes | complemented |
| 180 | #8052 | C23 | 1 | 8 | yes | complemented |
| 181 | #7962 | C23 | 1 | 8 | yes | complemented |
| 182 | #7941 | C23 | 1 | 8 | yes | complemented |
| 183 | C22×2−1+4 | C22⋊C4 | 1 | 2 | yes | — |
| 184 | C22×2−1+4 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C22×2−1+4 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C22×H(5,𝔽2) | C22⋊C4 | 1 | 2 | yes | — |
| 187 | C22×H(5,𝔽2) | C22⋊C4 | 1 | 2 | yes | — |
| 188 | C22×H(5,𝔽2) | C22⋊C4 | 1 | 2 | yes | — |
| 189 | C22×H(5,𝔽2) | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C22×H(5,𝔽2) | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C22×H(5,𝔽2) | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C22×H(5,𝔽2) | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C22×H(5,𝔽2) | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C22×H(5,𝔽2) | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C23×#41 | C22⋊C4 | 1 | 2 | yes | — |
| 196 | C23×#41 | C22⋊C4 | 1 | 2 | yes | — |
| 197 | C23×#41 | C22⋊C4 | 1 | 2 | yes | — |
| 198 | C23×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C23×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C23×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C23×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C24×D4 | C22⋊C4 | 1 | 2 | yes | — |
| 203 | C24×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×#559 | C22×C4 | 1 | 1 | yes | characteristic |
| 205 | C2×#559 | C2×D4 | 1 | 2 | yes | — |
| 206 | C2×#555 | C22×C4 | 1 | 2 | yes | — |
| 207 | C2×#554 | C22×C4 | 1 | 2 | yes | — |
| 208 | C2×#554 | C2×D4 | 1 | 2 | yes | — |
| 209 | C2×#554 | C2×D4 | 1 | 2 | yes | — |
| 210 | C2×#553 | C2×D4 | 1 | 4 | yes | — |
| 211 | C2×#550 | C22×C4 | 1 | 4 | yes | — |
| 212 | C2×#546 | C2×D4 | 1 | 4 | yes | — |
| 213 | C2×D42 | C22×C4 | 1 | 2 | yes | — |
| 214 | C2×D42 | C22×C4 | 1 | 4 | yes | — |
| 215 | C2×D42 | C22×C4 | 1 | 1 | yes | characteristic |
| 216 | C2×D42 | C2×D4 | 1 | 2 | yes | — |
| 217 | C2×#536 | C22⋊C4 | 1 | 2 | yes | — |
| 218 | C2×#536 | C22⋊C4 | 1 | 2 | yes | — |
| 219 | C2×#536 | C22⋊C4 | 1 | 2 | yes | — |
| 220 | C2×#536 | C22×C4 | 1 | 1 | yes | characteristic |
| 221 | C2×#536 | C22×C4 | 1 | 2 | yes | — |
| 222 | C2×#536 | C22×C4 | 1 | 1 | yes | characteristic |
| 223 | C2×#536 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C2×#536 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C2×#536 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C2×#536 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C2×#536 | C2×D4 | 1 | 2 | yes | — |
| 228 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 229 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 230 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 231 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 232 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 233 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 234 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 235 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 236 | C2×#535 | C22⋊C4 | 1 | 2 | yes | — |
| 237 | C2×#535 | C22×C4 | 1 | 1 | yes | characteristic |
| 238 | C2×#535 | C22×C4 | 1 | 2 | yes | — |
| 239 | C2×#535 | C22×C4 | 1 | 1 | yes | characteristic |
| 240 | C2×#535 | C22×C4 | 1 | 2 | yes | — |
| 241 | C2×#535 | C22×C4 | 1 | 2 | yes | — |
| 242 | C2×#535 | C22×C4 | 1 | 2 | yes | — |
| 243 | C2×#535 | C22×C4 | 1 | 2 | yes | — |
| 244 | C2×#535 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×#535 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C2×#535 | C2×D4 | 1 | 1 | yes | characteristic |
| 247 | C2×#535 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C2×#535 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×#535 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C2×#535 | C2×D4 | 1 | 2 | yes | — |
| 251 | C2×#535 | C2×D4 | 1 | 2 | yes | — |
| 252 | C2×#535 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C2×#535 | C2×D4 | 1 | 2 | yes | — |
| 254 | C2×#535 | C2×D4 | 1 | 2 | yes | — |
| 255 | C2×#535 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C2×#535 | C2×D4 | 1 | 2 | yes | — |
| 257 | C2×#532 | C22⋊C4 | 1 | 2 | yes | — |
| 258 | C2×#532 | C22⋊C4 | 1 | 2 | yes | — |
| 259 | C2×#532 | C22⋊C4 | 1 | 2 | yes | — |
| 260 | C2×#532 | C22⋊C4 | 1 | 2 | yes | — |
| 261 | C2×#532 | C22⋊C4 | 1 | 2 | yes | — |
| 262 | C2×#532 | C22⋊C4 | 1 | 2 | yes | — |
| 263 | C2×#532 | C22×C4 | 1 | 2 | yes | — |
| 264 | C2×#532 | C22×C4 | 1 | 2 | yes | — |
| 265 | C2×#532 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | C2×#532 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C2×#532 | C2×D4 | 1 | 2 | yes | — |
| 268 | C2×#532 | C2×D4 | 1 | 2 | yes | — |
| 269 | C2×#532 | C24 | 1 | 1 | yes | characteristic |
| 270 | C2×#532 | C24 | 1 | 1 | yes | characteristic |
| 271 | C2×#532 | C24 | 1 | 2 | yes | — |
| 272 | C22×#127 | C22⋊C4 | 1 | 2 | yes | — |
| 273 | C22×#127 | C22⋊C4 | 1 | 2 | yes | — |
| 274 | C22×#127 | C22⋊C4 | 1 | 2 | yes | — |
| 275 | C22×#127 | C22×C4 | 1 | 2 | yes | — |
| 276 | C22×#127 | C2×D4 | 1 | 1 | yes | characteristic |
| 277 | C22×#127 | C2×D4 | 1 | 2 | yes | — |
| 278 | C22×#127 | C24 | 1 | 1 | yes | characteristic |
| 279 | C2×#529 | C22×C4 | 1 | 4 | yes | — |
| 280 | C22×#124 | C22⋊C4 | 1 | 2 | yes | — |
| 281 | C22×#124 | C22⋊C4 | 1 | 2 | yes | — |
| 282 | C22×#124 | C22⋊C4 | 1 | 2 | yes | — |
| 283 | C22×#124 | C22×C4 | 1 | 2 | yes | — |
| 284 | C22×#124 | C2×D4 | 1 | 1 | yes | characteristic |
| 285 | C22×#124 | C2×D4 | 1 | 2 | yes | — |
| 286 | C22×#124 | C24 | 1 | 1 | yes | characteristic |
| 287 | C2×#520 | C2×D4 | 1 | 2 | yes | — |
| 288 | C2×#520 | C2×D4 | 1 | 4 | yes | — |
| 289 | C2×#520 | C2×D4 | 1 | 2 | yes | — |
| 290 | C2×#519 | C2×D4 | 1 | 2 | yes | — |
| 291 | C2×#518 | C2×D4 | 1 | 2 | yes | — |
| 292 | C2×#518 | C2×D4 | 1 | 4 | yes | — |
| 293 | C2×C4×#41 | C22×C4 | 1 | 2 | yes | — |
| 294 | C2×C4×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 295 | C2×C4×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 296 | C2×C4×#41 | C2×D4 | 1 | 2 | yes | — |
| 297 | C2×C4×#41 | C24 | 1 | 2 | yes | — |
| 298 | C2×C4×#41 | C24 | 1 | 1 | yes | characteristic |
| 299 | C2×C4×#41 | C24 | 1 | 1 | yes | characteristic |
| 300 | C22×C4×D4 | C22×C4 | 1 | 4 | yes | — |
| 301 | C22×#117 | C22×C4 | 1 | 2 | yes | — |
| 302 | C22×#117 | C2×D4 | 1 | 2 | yes | — |
| 303 | C22×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C22×#117 | C24 | 1 | 1 | yes | characteristic |
| 305 | #2920 | C24 | 1 | 8 | yes | — |
| 306 | C2×#423 | C24 | 1 | 4 | yes | — |
| 307 | #2635 | C2×D4 | 1 | 4 | yes | — |
| 308 | #2635 | C2×D4 | 1 | 4 | yes | — |
| 309 | #2634 | C22⋊C4 | 1 | 4 | yes | — |
| 310 | #2633 | C22⋊C4 | 1 | 4 | yes | — |
| 311 | #2632 | C22⋊C4 | 1 | 4 | yes | — |
| 312 | #2632 | C22×C4 | 1 | 2 | yes | — |
| 313 | #2632 | C22×C4 | 1 | 2 | yes | — |
| 314 | #2632 | C22×C4 | 1 | 4 | yes | — |
| 315 | #2631 | C22⋊C4 | 1 | 4 | yes | — |
| 316 | #2631 | C22×C4 | 1 | 2 | yes | — |
| 317 | #2631 | C22×C4 | 1 | 4 | yes | — |
| 318 | #2631 | C22×C4 | 1 | 4 | yes | — |
| 319 | #2631 | C22×C4 | 1 | 4 | yes | — |
| 320 | #2631 | C22×C4 | 1 | 2 | yes | — |
| 321 | #2631 | C22×C4 | 1 | 4 | yes | — |
| 322 | #2631 | C22×C4 | 1 | 4 | yes | — |
| 323 | #2628 | C2×D4 | 1 | 2 | yes | — |
| 324 | #2628 | C2×D4 | 1 | 2 | yes | — |
| 325 | #2627 | C22⋊C4 | 1 | 4 | yes | — |
| 326 | #2626 | C22⋊C4 | 1 | 4 | yes | — |
| 327 | #2619 | C2×D4 | 1 | 2 | yes | — |
| 328 | #2619 | C2×D4 | 1 | 2 | yes | — |
| 329 | #2618 | C22⋊C4 | 1 | 4 | yes | — |
| 330 | #2617 | C22⋊C4 | 1 | 4 | yes | — |
| 331 | #2611 | C22⋊C4 | 1 | 4 | yes | — |
| 332 | #2611 | C22⋊C4 | 1 | 4 | yes | — |
| 333 | #2610 | C22⋊C4 | 1 | 4 | yes | — |
| 334 | #2610 | C22⋊C4 | 1 | 4 | yes | — |
| 335 | #2599 | C22×C4 | 1 | 2 | yes | — |
| 336 | #2599 | C22×C4 | 1 | 4 | yes | — |
| 337 | #2599 | C22×C4 | 1 | 2 | yes | — |
| 338 | #2598 | C22⋊C4 | 1 | 4 | yes | — |
| 339 | #2598 | C22⋊C4 | 1 | 4 | yes | — |
| 340 | #2598 | C22⋊C4 | 1 | 4 | yes | — |
| 341 | #2598 | C22⋊C4 | 1 | 4 | yes | — |
| 342 | #2598 | C22×C4 | 1 | 2 | yes | — |
| 343 | #2598 | C22×C4 | 1 | 4 | yes | — |
| 344 | #2598 | C22×C4 | 1 | 2 | yes | — |
| 345 | #2598 | C22×C4 | 1 | 4 | yes | — |
| 346 | #2598 | C22×C4 | 1 | 4 | yes | — |
| 347 | #2598 | C22×C4 | 1 | 4 | yes | — |
| 348 | #2598 | C22×C4 | 1 | 4 | yes | — |
| 349 | #2591 | C2×D4 | 1 | 4 | yes | — |
| 350 | #2581 | C2×D4 | 1 | 2 | yes | — |
| 351 | #2580 | C2×D4 | 1 | 2 | yes | — |
| 352 | #2568 | C2×D4 | 1 | 2 | yes | — |
| 353 | #2564 | C22⋊C4 | 1 | 4 | yes | — |
| 354 | #2564 | C22⋊C4 | 1 | 4 | yes | — |
| 355 | #2548 | C2×D4 | 1 | 2 | yes | — |
| 356 | #2543 | C22⋊C4 | 1 | 4 | yes | — |
| 357 | #2543 | C22⋊C4 | 1 | 4 | yes | — |
| 358 | #2542 | C2×D4 | 1 | 2 | yes | — |
| 359 | #2541 | C2×D4 | 1 | 2 | yes | — |
| 360 | #2539 | C2×D4 | 1 | 4 | yes | — |
| 361 | #2536 | C2×D4 | 1 | 2 | yes | — |
| 362 | #2535 | C2×D4 | 1 | 2 | yes | — |
| 363 | #2487 | C22⋊C4 | 1 | 4 | yes | — |
| 364 | #2487 | C22⋊C4 | 1 | 4 | yes | — |
| 365 | #2484 | C2×D4 | 1 | 2 | yes | — |
| 366 | #2482 | C2×D4 | 1 | 2 | yes | — |
| 367 | #2408 | C22⋊C4 | 1 | 4 | yes | — |
| 368 | #2408 | C22⋊C4 | 1 | 4 | yes | — |
| 369 | #2406 | C2×D4 | 1 | 2 | yes | — |
| 370 | #2404 | C2×D4 | 1 | 2 | yes | — |
| 371 | #2398 | C22⋊C4 | 1 | 4 | yes | — |
| 372 | #2398 | C22⋊C4 | 1 | 4 | yes | — |
| 373 | #2397 | C22⋊C4 | 1 | 4 | yes | — |
| 374 | #2397 | C22⋊C4 | 1 | 4 | yes | — |
| 375 | #2396 | C2×D4 | 1 | 2 | yes | — |
| 376 | #2396 | C2×D4 | 1 | 2 | yes | — |
| 377 | #2395 | C2×D4 | 1 | 4 | yes | — |
| 378 | C2×#400 | C22⋊C4 | 1 | 4 | yes | — |
| 379 | C2×#399 | C22⋊C4 | 1 | 4 | yes | — |
| 380 | #2392 | C2×D4 | 1 | 2 | yes | — |
| 381 | #2392 | C2×D4 | 1 | 2 | yes | — |
| 382 | #2388 | C2×D4 | 1 | 4 | yes | — |
| 383 | C2×#394 | C22⋊C4 | 1 | 4 | yes | — |
| 384 | C2×#392 | C22⋊C4 | 1 | 4 | yes | — |
| 385 | #2381 | C22×C4 | 1 | 2 | yes | — |
| 386 | #2381 | C22×C4 | 1 | 2 | yes | — |
| 387 | #2380 | C22×C4 | 1 | 1 | yes | characteristic |
| 388 | #2380 | C22×C4 | 1 | 2 | yes | — |
| 389 | #2380 | C22×C4 | 1 | 1 | yes | characteristic |
| 390 | #2380 | C22×C4 | 1 | 4 | yes | — |
| 391 | #2380 | C22×C4 | 1 | 4 | yes | — |
| 392 | #2356 | C2×D4 | 1 | 2 | yes | — |
| 393 | #2356 | C2×D4 | 1 | 2 | yes | — |
| 394 | #2353 | C2×D4 | 1 | 4 | yes | — |
| 395 | #2353 | C2×D4 | 1 | 4 | yes | — |
| 396 | #2349 | C2×D4 | 1 | 2 | yes | — |
| 397 | #2349 | C2×D4 | 1 | 2 | yes | — |
| 398 | #2283 | C22×C4 | 1 | 4 | yes | — |
| 399 | #2283 | C24 | 1 | 2 | yes | — |
| 400 | #2283 | C24 | 1 | 2 | yes | — |
| 401 | C2×#383 | C22×C4 | 1 | 4 | yes | — |
| 402 | C4×#117 | C24 | 1 | 4 | yes | — |
| 403 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 404 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 405 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 406 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 407 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 408 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 409 | C22×#41 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 410 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 411 | C22×#41 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 412 | C22×#41 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 413 | C22×#41 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 414 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 415 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 416 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 417 | C22×#41 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 418 | C22×#41 | #120 | 1 | 2 | yes | — |
| 419 | C22×#41 | #120 | 1 | 1 | yes | characteristic |
| 420 | C22×#41 | #120 | 1 | 1 | yes | characteristic |
| 421 | C22×#41 | C22×D4 | 1 | 1 | yes | characteristic |
| 422 | C22×#41 | C22×D4 | 1 | 1 | yes | characteristic |
| 423 | C22×#41 | C22×D4 | 1 | 2 | yes | — |
| 424 | C22×#41 | C22×D4 | 1 | 1 | yes | characteristic |
| 425 | C22×#41 | C22×D4 | 1 | 1 | yes | characteristic |
| 426 | C22×#41 | C22×D4 | 1 | 1 | yes | characteristic |
| 427 | C22×#41 | C22×D4 | 1 | 1 | yes | characteristic |
| 428 | C23×Q8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 429 | C23×Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 430 | C23×Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 431 | C23×Q8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 432 | C23×Q8 | #120 | 1 | 1 | yes | characteristic |
| 433 | C23×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 434 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 435 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 436 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 437 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 438 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 439 | C23×D4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 440 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 441 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 442 | C23×D4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 443 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 444 | C23×D4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 445 | C23×D4 | #120 | 1 | 1 | yes | characteristic |
| 446 | C23×D4 | #120 | 1 | 2 | yes | — |
| 447 | C23×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 448 | C23×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 449 | C23×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 450 | C24×C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 451 | C24×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 452 | #532 | H(5,𝔽2) | 1 | 8 | yes | — |
| 453 | C2×C4⋊Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 454 | C2×C4⋊Q8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 455 | C2×C4⋊Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 456 | C2×C4⋊Q8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 457 | C2×C4⋊Q8 | C23×C4 | 1 | 1 | yes | characteristic |
| 458 | C2×C4⋊Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 459 | C2×C4⋊Q8 | C22×D4 | 1 | 2 | yes | — |
| 460 | C2×#127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 461 | C2×#127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 462 | C2×#127 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 463 | C2×#127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 464 | C2×#127 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 465 | C2×#127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 466 | C2×#127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 467 | C2×#127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 468 | C2×#127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 469 | C2×#127 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 470 | C2×#127 | C23×C4 | 1 | 1 | yes | characteristic |
| 471 | C2×#127 | C23×C4 | 1 | 2 | yes | — |
| 472 | C2×#127 | C22×D4 | 1 | 2 | yes | — |
| 473 | C2×#127 | C22×D4 | 1 | 1 | yes | characteristic |
| 474 | C2×#127 | C22×D4 | 1 | 2 | yes | — |
| 475 | C2×#127 | H(5,𝔽2) | 1 | 8 | yes | — |
| 476 | C2×#125 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 477 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 478 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 479 | C2×#124 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 480 | C2×#124 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 481 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 482 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 483 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 484 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 485 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 486 | C2×#124 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 487 | C2×#124 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 488 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 489 | C2×#124 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 490 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 491 | C2×#124 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 492 | C2×#124 | C23×C4 | 1 | 1 | yes | characteristic |
| 493 | C2×#124 | C23×C4 | 1 | 2 | yes | — |
| 494 | C2×#124 | C23×C4 | 1 | 1 | yes | characteristic |
| 495 | C2×#124 | C22×D4 | 1 | 2 | yes | — |
| 496 | C2×#124 | C22×D4 | 1 | 1 | yes | characteristic |
| 497 | C2×#124 | C22×D4 | 1 | 1 | yes | characteristic |
| 498 | C2×C22⋊Q8 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 499 | C2×#121 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 500 | C2×#121 | C22×D4 | 1 | 4 | yes | — |
| 501 | C2×C4×Q8 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 502 | C2×C4×Q8 | #120 | 1 | 4 | yes | — |
| 503 | C2×C4×Q8 | #120 | 1 | 2 | yes | — |
| 504 | C2×C4×Q8 | #120 | 1 | 2 | yes | — |
| 505 | C2×C4×Q8 | C23×C4 | 1 | 2 | yes | — |
| 506 | C2×C4×Q8 | C22×D4 | 1 | 2 | yes | — |
| 507 | C2×C4×Q8 | C22×D4 | 1 | 2 | yes | — |
| 508 | C2×C4×Q8 | C22×D4 | 1 | 2 | yes | — |
| 509 | C2×C4×D4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 510 | C2×C4×D4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 511 | C2×C4×D4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 512 | C2×C4×D4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 513 | C2×C4×D4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 514 | C2×C4×D4 | #120 | 1 | 4 | yes | — |
| 515 | C2×C4×D4 | #120 | 1 | 2 | yes | — |
| 516 | C2×C4×D4 | #120 | 1 | 2 | yes | — |
| 517 | C2×C4×D4 | #120 | 1 | 4 | yes | — |
| 518 | C2×C4×D4 | #120 | 1 | 4 | yes | — |
| 519 | C2×C4×D4 | #120 | 1 | 4 | yes | — |
| 520 | C2×C4×D4 | #120 | 1 | 4 | yes | — |
| 521 | C2×C4×D4 | C23×C4 | 1 | 2 | yes | — |
| 522 | C2×C4×D4 | C23×C4 | 1 | 4 | yes | — |
| 523 | C2×C4×D4 | C22×D4 | 1 | 4 | yes | — |
| 524 | C2×C4×D4 | C22×D4 | 1 | 4 | yes | — |
| 525 | C2×C4×D4 | C22×D4 | 1 | 2 | yes | — |
| 526 | C2×C4×D4 | C22×D4 | 1 | 2 | yes | — |
| 527 | C2×C4×D4 | C22×D4 | 1 | 2 | yes | — |
| 528 | C2×#117 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 529 | C2×#117 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 530 | C2×#117 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 531 | C2×#117 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 532 | C2×#117 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 533 | C2×#117 | #120 | 1 | 4 | yes | — |
| 534 | C2×#117 | #120 | 1 | 4 | yes | — |
| 535 | C2×#117 | #120 | 1 | 2 | yes | — |
| 536 | C2×#117 | #120 | 1 | 2 | yes | — |
| 537 | C2×#117 | C23×C4 | 1 | 1 | yes | characteristic |
| 538 | C2×#117 | C23×C4 | 1 | 2 | yes | — |
| 539 | C2×#117 | C23×C4 | 1 | 1 | yes | characteristic |
| 540 | C2×#117 | C22×D4 | 1 | 2 | yes | — |
| 541 | C2×#117 | C22×D4 | 1 | 1 | yes | characteristic |
| 542 | C2×#117 | C22×D4 | 1 | 1 | yes | characteristic |
| 543 | C2×#117 | C22×D4 | 1 | 2 | yes | — |
| 544 | C2×#117 | C22×D4 | 1 | 1 | yes | characteristic |
| 545 | C2×#117 | C22×D4 | 1 | 1 | yes | characteristic |
| 546 | C2×#117 | C22×D4 | 1 | 2 | yes | — |
| 547 | C2×#117 | C22×D4 | 1 | 2 | yes | — |
| 548 | C22×C4⋊C4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 549 | C22×C4⋊C4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 550 | C22×C4⋊C4 | #120 | 1 | 2 | yes | — |
| 551 | C22×C4⋊C4 | #120 | 1 | 4 | yes | — |
| 552 | C22×C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 553 | C22×C22⋊C4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 554 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 555 | C22×C22⋊C4 | #120 | 1 | 2 | yes | — |
| 556 | C22×C22⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 557 | C22×C42 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 558 | C22×C42 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 559 | C22×C42 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 560 | C22×C42 | C23×C4 | 1 | 2 | yes | — |
| 561 | C22×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 562 | C22×C42 | C22×D4 | 1 | 2 | yes | — |
| 563 | C22×C42 | C25 | 1 | 1 | yes | characteristic |
| 564 | #400 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 565 | #400 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 566 | #400 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 567 | #400 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 568 | #400 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 569 | #400 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 570 | #400 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 571 | #399 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 572 | #399 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 573 | #399 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 574 | #399 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 575 | #399 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 576 | #399 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 577 | #399 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 578 | #398 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 579 | #398 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 580 | #398 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 581 | #397 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 582 | #397 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 583 | #397 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 584 | #395 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 585 | #395 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 586 | #395 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 587 | #394 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 588 | #394 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 589 | #394 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 590 | #394 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 591 | #394 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 592 | #394 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 593 | #394 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 594 | #393 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 595 | #393 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 596 | #393 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 597 | #392 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 598 | #392 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 599 | #392 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 600 | #392 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 601 | #392 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 602 | #392 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 603 | #392 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 604 | #383 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 605 | #383 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 606 | #383 | C23×C4 | 1 | 2 | yes | — |
| 607 | #383 | C23×C4 | 1 | 4 | yes | — |
| 608 | #383 | C23×C4 | 1 | 2 | yes | — |
| 609 | #382 | C22×D4 | 1 | 2 | yes | — |
| 610 | #382 | C22×D4 | 1 | 2 | yes | — |
| 611 | #381 | C22×D4 | 1 | 2 | yes | — |
| 612 | #381 | C22×D4 | 1 | 2 | yes | — |
| 613 | #380 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 614 | #380 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 615 | C4×C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 616 | C4×C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 617 | C4×C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 618 | #376 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 619 | #376 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 620 | C2×#95 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 621 | C2×#95 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 622 | C25 | #379 | 1 | 2 | yes | — |
| 623 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 624 | C2×#41 | #534 | 1 | 4 | yes | — |
| 625 | C2×#41 | #534 | 1 | 4 | yes | — |
| 626 | C22×Q8 | #379 | 1 | 2 | yes | — |
| 627 | C22×Q8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 628 | C22×Q8 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 629 | C22×Q8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 630 | C22×Q8 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 631 | C22×Q8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 632 | C22×Q8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 633 | C22×Q8 | C2×#120 | 1 | 1 | yes | characteristic |
| 634 | C22×Q8 | C2×#120 | 1 | 1 | yes | characteristic |
| 635 | C22×D4 | #379 | 1 | 2 | yes | — |
| 636 | C22×D4 | #379 | 1 | 2 | yes | — |
| 637 | C22×D4 | #379 | 1 | 2 | yes | — |
| 638 | C22×D4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 639 | C22×D4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 640 | C22×D4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 641 | C22×D4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 642 | C22×D4 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 643 | C22×D4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 644 | C22×D4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 645 | C22×D4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 646 | C22×D4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 647 | C22×D4 | C2×#120 | 1 | 1 | yes | characteristic |
| 648 | C22×D4 | C2×#120 | 1 | 1 | yes | characteristic |
| 649 | C22×D4 | C2×#120 | 1 | 2 | yes | — |
| 650 | C22×D4 | C2×#120 | 1 | 2 | yes | — |
| 651 | C22×D4 | #534 | 1 | 4 | yes | — |
| 652 | C22×D4 | #534 | 1 | 4 | yes | — |
| 653 | C23×C4 | #379 | 1 | 2 | yes | — |
| 654 | C23×C4 | #379 | 1 | 2 | yes | — |
| 655 | C23×C4 | #379 | 1 | 2 | yes | — |
| 656 | C23×C4 | #379 | 1 | 4 | yes | — |
| 657 | C23×C4 | #379 | 1 | 4 | yes | — |
| 658 | C23×C4 | #379 | 1 | 4 | yes | — |
| 659 | C23×C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 660 | C23×C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 661 | C23×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 662 | C23×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 663 | C23×C4 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 664 | C23×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 665 | C23×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 666 | C23×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 667 | C23×C4 | C2×#120 | 1 | 4 | yes | — |
| 668 | C23×C4 | C2×#120 | 1 | 2 | yes | — |
| 669 | C23×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 670 | C23×C4 | C23×D4 | 1 | 2 | yes | — |
| 671 | C4⋊Q8 | #518 | 1 | 4 | yes | — |
| 672 | #127 | #518 | 1 | 4 | yes | — |
| 673 | #127 | #518 | 1 | 8 | yes | — |
| 674 | #127 | #534 | 1 | 8 | yes | — |
| 675 | #124 | #534 | 1 | 4 | yes | — |
| 676 | #124 | #534 | 1 | 4 | yes | — |
| 677 | C2×C4⋊C4 | #379 | 1 | 4 | yes | — |
| 678 | C2×C4⋊C4 | #379 | 1 | 4 | yes | — |
| 679 | C2×C4⋊C4 | #379 | 1 | 4 | yes | — |
| 680 | C2×C4⋊C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 681 | C2×C4⋊C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 682 | C2×C4⋊C4 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 683 | C2×C4⋊C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 684 | C2×C4⋊C4 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 685 | C2×C4⋊C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 686 | C2×C4⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 687 | C2×C4⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 688 | C2×C4⋊C4 | C2×#120 | 1 | 4 | yes | — |
| 689 | C2×C4⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 690 | C2×C4⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 691 | C2×C22⋊C4 | #379 | 1 | 4 | yes | — |
| 692 | C2×C22⋊C4 | #379 | 1 | 4 | yes | — |
| 693 | C2×C22⋊C4 | #379 | 1 | 4 | yes | — |
| 694 | C2×C22⋊C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 695 | C2×C22⋊C4 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 696 | C2×C22⋊C4 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 697 | C2×C22⋊C4 | C2×#120 | 1 | 4 | yes | — |
| 698 | C2×C22⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 699 | C2×C22⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 700 | C2×C22⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 701 | C2×C22⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 702 | C2×C42 | #379 | 1 | 4 | yes | — |
| 703 | C2×C42 | #379 | 1 | 4 | yes | — |
| 704 | C2×C42 | #379 | 1 | 4 | yes | — |
| 705 | C2×C42 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 706 | C2×C42 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 707 | C2×C42 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 708 | C2×C42 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 709 | C2×C42 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 710 | C2×C42 | C2×#120 | 1 | 4 | yes | — |
| 711 | C2×C42 | C2×#120 | 1 | 2 | yes | — |
| 712 | C2×C42 | C24×C4 | 1 | 1 | yes | characteristic |
| 713 | C2×C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 714 | C2×C42 | C23×D4 | 1 | 2 | yes | — |
| 715 | C2×C42 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 716 | C2×C42 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 717 | #95 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 718 | #95 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 719 | #95 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 720 | #95 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 721 | #95 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 722 | #95 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 723 | C24 | C2×#379 | 1 | 1 | yes | characteristic |
| 724 | C24 | C2×#379 | 1 | 1 | yes | characteristic |
| 725 | C24 | C2×#379 | 1 | 2 | yes | — |
| 726 | C24 | C2×#379 | 1 | 2 | yes | — |
| 727 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 728 | C2×Q8 | #2308 | 1 | 2 | yes | — |
| 729 | C2×Q8 | #2308 | 1 | 2 | yes | — |
| 730 | C2×D4 | #2308 | 1 | 2 | yes | — |
| 731 | C2×D4 | #2308 | 1 | 2 | yes | — |
| 732 | C2×D4 | #2308 | 1 | 4 | yes | — |
| 733 | C2×D4 | #2308 | 1 | 4 | yes | — |
| 734 | C2×D4 | #3019 | 1 | 4 | yes | — |
| 735 | C2×D4 | #3019 | 1 | 4 | yes | — |
| 736 | C22×C4 | C2×#379 | 1 | 2 | yes | — |
| 737 | C22×C4 | C2×#379 | 1 | 2 | yes | — |
| 738 | C22×C4 | C2×#379 | 1 | 1 | yes | characteristic |
| 739 | C22×C4 | C2×#379 | 1 | 1 | yes | characteristic |
| 740 | C22×C4 | C2×#379 | 1 | 2 | yes | — |
| 741 | C22×C4 | C2×#379 | 1 | 4 | yes | — |
| 742 | C22×C4 | C2×#379 | 1 | 2 | yes | — |
| 743 | C22×C4 | C2×#379 | 1 | 4 | yes | — |
| 744 | C22×C4 | C23×C22⋊C4 | 1 | 1 | yes | characteristic |
| 745 | C22×C4 | C23×C22⋊C4 | 1 | 2 | yes | — |
| 746 | C22×C4 | C22×#120 | 1 | 2 | yes | — |
| 747 | C22×C4 | C22×#120 | 1 | 1 | yes | characteristic |
| 748 | C22×C4 | C2×#534 | 1 | 2 | yes | — |
| 749 | C22×C4 | C2×#534 | 1 | 2 | yes | — |
| 750 | C22×C4 | #3484 | 1 | 8 | yes | — |
| 751 | C42 | C2×#518 | 1 | 2 | yes | — |
| 752 | C42 | C2×#518 | 1 | 2 | yes | — |
| 753 | C42 | C2×#534 | 1 | 2 | yes | — |
| 754 | C42 | C2×#534 | 1 | 2 | yes | — |
| 755 | C42 | #3484 | 1 | 8 | yes | — |
| 756 | C23 | #20616 | 1 | 4 | yes | — |
| 757 | C23 | #20616 | 1 | 4 | yes | — |
| 758 | C23 | C22×#379 | 1 | 1 | yes | characteristic |
| 759 | C23 | #34980 | 1 | 2 | yes | — |
| 760 | C2×C4 | C2×#2308 | 1 | 1 | yes | characteristic |
| 761 | C2×C4 | C2×#2308 | 1 | 1 | yes | characteristic |
| 762 | C2×C4 | #34171 | 1 | 4 | yes | — |
| 763 | C2×C4 | #34980 | 1 | 4 | yes | — |
| 764 | C2×C4 | #34980 | 1 | 2 | yes | — |
| 765 | C2×C4 | C2×#3019 | 1 | 2 | yes | — |
| 766 | C2×C4 | C2×#3019 | 1 | 2 | yes | — |
| 767 | C22 | #517411 | 1 | 1 | yes | characteristic |
| 768 | C22 | C2×#20616 | 1 | 1 | yes | characteristic |
| 769 | C22 | C2×#20616 | 1 | 1 | yes | characteristic |
| 770 | C4 | #6470032 | 1 | 4 | yes | — |
| 771 | C2 | #72233776 | 1 | 2 | yes | — |
| 772 | C2 | #72317736 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta