← #34019078
Subgroups — #34019078
Order 18688.
544 conjugacy classes of subgroups.
The subgroup lattice has 346 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #22626835 | C2 | 1 | 2 | yes | maximal |
| 2 | #22625557 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #22625554 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #22625544 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22625543 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #22625491 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #22625293 | C2 | 1 | 2 | yes | maximal |
| 8 | #22625144 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #22620512 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #17989639 | — | 2 | 2 | no | — |
| 11 | #17989638 | C22 | 1 | 2 | yes | — |
| 12 | #17989637 | — | 2 | 2 | no | — |
| 13 | #17989637 | C22 | 1 | 2 | yes | — |
| 14 | #17989636 | C22 | 1 | 2 | yes | — |
| 15 | Q8×#10596833 | C22 | 1 | 2 | yes | — |
| 16 | #17989611 | — | 2 | 2 | no | — |
| 17 | #17989611 | — | 2 | 2 | no | — |
| 18 | #17989608 | C22 | 1 | 2 | yes | — |
| 19 | #17989603 | C22 | 1 | 1 | yes | characteristic |
| 20 | #17989603 | C22 | 1 | 1 | yes | characteristic |
| 21 | #17989451 | C22 | 1 | 2 | yes | — |
| 22 | #17989448 | C22 | 1 | 1 | yes | characteristic |
| 23 | #17989448 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17989437 | C22 | 1 | 2 | yes | — |
| 25 | #17989437 | C22 | 1 | 2 | yes | — |
| 26 | Q8⋊#10596833 | C22 | 1 | 2 | yes | — |
| 27 | Q8⋊#10596833 | C22 | 1 | 2 | yes | — |
| 28 | #17989429 | C22 | 1 | 2 | yes | — |
| 29 | #17989429 | C22 | 1 | 2 | yes | — |
| 30 | #17989139 | C22 | 1 | 2 | yes | — |
| 31 | #17988991 | C4 | 1 | 1 | yes | characteristic |
| 32 | #17988965 | C4 | 1 | 1 | yes | characteristic |
| 33 | #17988936 | C4 | 1 | 2 | yes | — |
| 34 | #17988828 | C4 | 1 | 1 | yes | characteristic |
| 35 | #17988826 | C4 | 1 | 2 | yes | — |
| 36 | Q16×Dic73 | C22 | 1 | 1 | yes | characteristic |
| 37 | #17988681 | C22 | 1 | 1 | yes | characteristic |
| 38 | #17988679 | C22 | 1 | 2 | yes | — |
| 39 | C2×C8×Dic73 | C22 | 1 | 1 | yes | characteristic |
| 40 | #467×C73 | C4 | 1 | 1 | yes | characteristic |
| 41 | #14556658 | — | 2 | 2 | no | — |
| 42 | #14556658 | — | 2 | 2 | no | — |
| 43 | C4⋊#10596833 | — | 2 | 2 | no | — |
| 44 | C4⋊#10596833 | — | 2 | 2 | no | — |
| 45 | C4⋊#10596833 | — | 2 | 1 | no | — |
| 46 | C4⋊#10596833 | D4 | 1 | 2 | yes | — |
| 47 | C4⋊#10596833 | C23 | 1 | 2 | yes | — |
| 48 | C4⋊#10596833 | C23 | 1 | 2 | yes | — |
| 49 | C22⋊#10596833 | — | 2 | 2 | no | — |
| 50 | C22⋊#10596833 | — | 2 | 1 | no | — |
| 51 | C22⋊#10596833 | D4 | 1 | 1 | yes | characteristic |
| 52 | C22⋊#10596833 | D4 | 1 | 1 | yes | characteristic |
| 53 | #14556646 | — | 2 | 2 | no | — |
| 54 | #14556646 | — | 2 | 2 | no | — |
| 55 | #14556646 | — | 2 | 2 | no | — |
| 56 | C4×#10596833 | — | 2 | 2 | no | — |
| 57 | C4×#10596833 | — | 2 | 2 | no | — |
| 58 | C4×#10596833 | C23 | 1 | 2 | yes | — |
| 59 | C4×#10596833 | C23 | 1 | 2 | yes | — |
| 60 | C2×Dic292 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | C2×#11924018 | C2×C4 | 1 | 2 | yes | — |
| 62 | C22×#10596831 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | #14556590 | C2×C4 | 1 | 2 | yes | — |
| 64 | #14556589 | C2×C4 | 1 | 2 | yes | — |
| 65 | #14556581 | — | 2 | 2 | no | — |
| 66 | #14556570 | C2×C4 | 1 | 2 | yes | — |
| 67 | #14556568 | — | 2 | 2 | no | — |
| 68 | Q8×Dic73 | C23 | 1 | 2 | yes | — |
| 69 | #14556556 | — | 2 | 2 | no | — |
| 70 | #14556556 | C23 | 1 | 2 | yes | — |
| 71 | #14556547 | — | 2 | 2 | no | — |
| 72 | C2×C4×Dic73 | C23 | 1 | 1 | yes | characteristic |
| 73 | #14556525 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | #14556524 | C2×C4 | 1 | 2 | yes | — |
| 75 | #14556516 | C2×C4 | 1 | 2 | yes | — |
| 76 | #14556515 | C2×C4 | 1 | 2 | yes | — |
| 77 | #14556514 | C2×C4 | 1 | 2 | yes | — |
| 78 | C8×Dic73 | C2×C4 | 1 | 1 | yes | characteristic |
| 79 | C8×Dic73 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | C8×Dic73 | C23 | 1 | 1 | yes | characteristic |
| 81 | C8×Dic73 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×Q16×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 83 | C22×C8×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | C22⋊Q8×C73 | C2×C4 | 1 | 2 | yes | — |
| 85 | #107×C73 | C2×C4 | 1 | 1 | yes | characteristic |
| 86 | #103×C73 | C2×C4 | 1 | 2 | yes | — |
| 87 | C2×#10596833 | — | 2 | 2 | no | — |
| 88 | C2×#10596833 | — | 2 | 2 | no | — |
| 89 | C2×#10596833 | — | 2 | 2 | no | — |
| 90 | C2×#10596833 | C2×D4 | 1 | 2 | yes | — |
| 91 | C2×#10596833 | C2×D4 | 1 | 2 | yes | — |
| 92 | C2×Dic146 | — | 2 | 2 | no | — |
| 93 | C2×Dic146 | C22×C4 | 1 | 2 | yes | — |
| 94 | C22×Dic73 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | C22×Dic73 | #41 | 1 | 1 | yes | characteristic |
| 96 | Dic292 | — | 4 | 1 | no | — |
| 97 | #11924018 | — | 4 | 2 | no | — |
| 98 | C2×#10596831 | — | 4 | 1 | no | — |
| 99 | C2×#10596831 | C22×C4 | 1 | 1 | yes | characteristic |
| 100 | C2×#10596831 | C22×C4 | 1 | 1 | yes | characteristic |
| 101 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 102 | C4⋊Dic73 | C22×C4 | 1 | 2 | yes | — |
| 103 | #11924007 | — | 2 | 2 | no | — |
| 104 | #11924007 | — | 2 | 2 | no | — |
| 105 | #11924007 | — | 2 | 2 | no | — |
| 106 | #11924007 | — | 2 | 2 | no | — |
| 107 | #11924007 | — | 2 | 2 | no | — |
| 108 | C22⋊Dic73 | — | 2 | 2 | no | — |
| 109 | C4×Dic73 | — | 2 | 2 | no | — |
| 110 | C4×Dic73 | — | 2 | 2 | no | — |
| 111 | C4×Dic73 | C22×C4 | 1 | 1 | yes | characteristic |
| 112 | C4×Dic73 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C4×Dic73 | #41 | 1 | 1 | yes | characteristic |
| 114 | C4×Dic73 | C24 | 1 | 1 | yes | characteristic |
| 115 | C2×Q8×C73 | C22×C4 | 1 | 2 | yes | — |
| 116 | C22×C4×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 117 | Q16×C73 | — | 4 | 1 | no | — |
| 118 | C2×C8×C73 | — | 4 | 1 | no | — |
| 119 | C2×C8×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 120 | C2×C8×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 121 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 122 | C4⋊C4×C73 | C22×C4 | 1 | 2 | yes | — |
| 123 | C22⋊C4×C73 | — | 2 | 2 | no | — |
| 124 | C23×C73 | C4×D4 | 1 | 1 | yes | characteristic |
| 125 | Q8×C73 | — | 2 | 2 | no | — |
| 126 | Q8×C73 | — | 2 | 2 | no | — |
| 127 | C2×C4×C73 | — | 2 | 1 | no | — |
| 128 | C2×C4×C73 | — | 2 | 1 | no | — |
| 129 | C2×C4×C73 | — | 2 | 2 | no | — |
| 130 | C2×C4×C73 | — | 2 | 2 | no | — |
| 131 | C2×C4×C73 | C4×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C4×C73 | C23×C4 | 1 | 1 | yes | characteristic |
| 133 | C2×Dic73 | — | 2 | 2 | no | — |
| 134 | C2×Dic73 | — | 2 | 2 | no | — |
| 135 | C2×Dic73 | — | 2 | 2 | no | — |
| 136 | C2×Dic73 | — | 4 | 1 | no | — |
| 137 | C2×Dic73 | C4×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×Dic73 | C4×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×Dic73 | C22×D4 | 1 | 1 | yes | characteristic |
| 140 | C2×Dic73 | C2×#41 | 1 | 1 | yes | characteristic |
| 141 | Dic146 | — | 2 | 2 | no | — |
| 142 | Dic146 | — | 2 | 2 | no | — |
| 143 | Dic146 | — | 8 | 2 | no | — |
| 144 | #10596833 | — | 2 | 2 | no | — |
| 145 | #10596833 | — | 2 | 2 | no | — |
| 146 | #10596833 | — | 4 | 2 | no | — |
| 147 | #10596833 | — | 4 | 2 | no | — |
| 148 | #10596833 | — | 4 | 2 | no | — |
| 149 | C8×C73 | — | 2 | 1 | no | — |
| 150 | C8×C73 | — | 2 | 1 | no | — |
| 151 | #10596831 | — | 2 | 1 | no | — |
| 152 | #10596831 | — | 2 | 1 | no | — |
| 153 | C22×C73 | — | 2 | 1 | no | — |
| 154 | C22×C73 | — | 2 | 1 | no | — |
| 155 | C22×C73 | — | 2 | 1 | no | — |
| 156 | C22×C73 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 157 | C4×C73 | — | 2 | 1 | no | — |
| 158 | C4×C73 | — | 4 | 2 | no | — |
| 159 | C4×C73 | — | 4 | 2 | no | — |
| 160 | C4×C73 | #568 | 1 | 1 | yes | characteristic |
| 161 | C4×C73 | #568 | 1 | 1 | yes | characteristic |
| 162 | Dic73 | — | 2 | 1 | no | — |
| 163 | Dic73 | — | 2 | 1 | no | — |
| 164 | Dic73 | — | 2 | 1 | no | — |
| 165 | Dic73 | — | 4 | 2 | no | — |
| 166 | Dic73 | — | 4 | 2 | no | — |
| 167 | Dic73 | #578 | 1 | 2 | yes | — |
| 168 | #17991 | — | 73 | 1 | no | maximal, Sylow |
| 169 | C2×C73 | — | 4 | 1 | no | — |
| 170 | C2×C73 | #2932 | 1 | 1 | yes | characteristic |
| 171 | C2×C73 | #2950 | 1 | 1 | yes | characteristic |
| 172 | C2×C73 | #2957 | 1 | 1 | yes | characteristic |
| 173 | #3170 | — | 73 | 1 | no | — |
| 174 | #2985 | — | 73 | 2 | no | — |
| 175 | #1587 | — | 73 | 2 | no | — |
| 176 | #1587 | — | 73 | 2 | no | — |
| 177 | #1584 | — | 73 | 2 | no | — |
| 178 | #1584 | — | 73 | 2 | no | — |
| 179 | #1568 | — | 73 | 1 | no | — |
| 180 | #1497 | — | 73 | 2 | no | — |
| 181 | #1452 | — | 73 | 1 | no | — |
| 182 | C73 | #17991 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 183 | #533 | — | 73 | 2 | no | — |
| 184 | #500 | — | 73 | 1 | no | — |
| 185 | #494 | — | 73 | 1 | no | — |
| 186 | #487 | — | 73 | 2 | no | — |
| 187 | #467 | — | 73 | 1 | no | — |
| 188 | #467 | — | 73 | 2 | no | — |
| 189 | #467 | #64408 | 1 | 1 | yes | characteristic |
| 190 | #446 | — | 73 | 2 | no | — |
| 191 | #446 | — | 73 | 2 | no | — |
| 192 | #446 | — | 146 | 2 | no | — |
| 193 | #446 | — | 146 | 2 | no | — |
| 194 | C8×Q8 | — | 73 | 2 | no | — |
| 195 | C8×Q8 | — | 73 | 2 | no | — |
| 196 | C4×Q16 | — | 73 | 1 | no | — |
| 197 | C4×Q16 | — | 73 | 1 | no | — |
| 198 | C4×Q16 | — | 73 | 2 | no | — |
| 199 | #433 | — | 146 | 2 | no | — |
| 200 | #433 | — | 146 | 2 | no | — |
| 201 | #432 | — | 73 | 2 | no | — |
| 202 | #431 | — | 73 | 1 | no | — |
| 203 | #431 | — | 73 | 1 | no | — |
| 204 | C2×C4×C8 | — | 73 | 1 | no | — |
| 205 | #335 | — | 73 | 2 | no | — |
| 206 | #334 | — | 73 | 1 | no | — |
| 207 | #334 | — | 73 | 1 | no | — |
| 208 | Q8⋊C8 | — | 73 | 2 | no | — |
| 209 | Q8⋊C8 | — | 73 | 2 | no | — |
| 210 | Q8⋊C8 | — | 73 | 2 | no | — |
| 211 | Q8⋊C8 | — | 73 | 2 | no | — |
| 212 | #322 | — | 73 | 2 | no | — |
| 213 | #322 | — | 73 | 2 | no | — |
| 214 | C2×Q16 | — | 73 | 2 | no | — |
| 215 | C2×Q16 | — | 73 | 1 | no | — |
| 216 | C2×Q16 | C2×#64408 | 1 | 1 | yes | characteristic |
| 217 | C22×C8 | — | 73 | 1 | no | — |
| 218 | C22×C8 | C2×#64408 | 1 | 1 | yes | characteristic |
| 219 | C4⋊Q8 | — | 73 | 2 | no | — |
| 220 | C4⋊Q8 | — | 73 | 2 | no | — |
| 221 | #125 | — | 146 | 2 | no | — |
| 222 | C22⋊Q8 | — | 73 | 2 | no | — |
| 223 | C22⋊Q8 | — | 146 | 2 | no | — |
| 224 | C22⋊Q8 | C2×#64408 | 1 | 2 | yes | — |
| 225 | C4×Q8 | — | 73 | 2 | no | — |
| 226 | C4×Q8 | — | 73 | 2 | no | — |
| 227 | C4×Q8 | — | 146 | 2 | no | — |
| 228 | #117 | — | 146 | 2 | no | — |
| 229 | C2×C42 | — | 73 | 1 | no | — |
| 230 | #107 | — | 73 | 1 | no | — |
| 231 | #107 | — | 73 | 2 | no | — |
| 232 | #107 | C2×#64408 | 1 | 1 | yes | characteristic |
| 233 | C4⋊C8 | — | 73 | 2 | no | — |
| 234 | C4⋊C8 | — | 73 | 2 | no | — |
| 235 | C4⋊C8 | — | 73 | 2 | no | — |
| 236 | C4⋊C8 | — | 146 | 1 | no | — |
| 237 | C4⋊C8 | — | 146 | 2 | no | — |
| 238 | C4⋊C8 | — | 146 | 2 | no | — |
| 239 | C4⋊C8 | — | 146 | 2 | no | — |
| 240 | C4⋊C8 | — | 146 | 2 | no | — |
| 241 | #103 | — | 73 | 2 | no | — |
| 242 | #103 | — | 73 | 2 | no | — |
| 243 | #103 | — | 73 | 2 | no | — |
| 244 | #103 | C2×#64408 | 1 | 2 | yes | — |
| 245 | C22⋊C8 | — | 73 | 1 | no | — |
| 246 | C22⋊C8 | — | 73 | 1 | no | — |
| 247 | C22⋊C8 | — | 146 | 1 | no | — |
| 248 | C22⋊C8 | — | 146 | 2 | no | — |
| 249 | #97 | — | 146 | 2 | no | — |
| 250 | #97 | — | 146 | 2 | no | — |
| 251 | #97 | — | 146 | 2 | no | — |
| 252 | C4×C8 | — | 73 | 2 | no | — |
| 253 | C4×C8 | — | 73 | 1 | no | — |
| 254 | C4×C8 | — | 73 | 1 | no | — |
| 255 | C4×C8 | — | 73 | 1 | no | — |
| 256 | C4×C8 | — | 73 | 1 | no | — |
| 257 | C4×C8 | — | 73 | 2 | no | — |
| 258 | C4×C8 | — | 146 | 2 | no | — |
| 259 | C4×C8 | — | 146 | 2 | no | — |
| 260 | C2×Q8 | — | 73 | 2 | no | — |
| 261 | C2×Q8 | — | 146 | 2 | no | — |
| 262 | C2×Q8 | C22×#64408 | 1 | 2 | yes | — |
| 263 | C22×C4 | — | 73 | 1 | no | — |
| 264 | C22×C4 | — | 73 | 1 | no | — |
| 265 | C22×C4 | C22×#64408 | 1 | 1 | yes | characteristic |
| 266 | Q16 | — | 4 | 1 | no | — |
| 267 | Q16 | — | 292 | 1 | no | — |
| 268 | Q16 | — | 292 | 2 | no | — |
| 269 | C2×C8 | — | 4 | 1 | no | — |
| 270 | C2×C8 | — | 292 | 1 | no | — |
| 271 | C2×C8 | — | 73 | 2 | no | — |
| 272 | C2×C8 | — | 73 | 2 | no | — |
| 273 | C2×C8 | — | 73 | 1 | no | — |
| 274 | C2×C8 | — | 73 | 1 | no | — |
| 275 | C2×C8 | — | 146 | 2 | no | — |
| 276 | C2×C8 | — | 146 | 2 | no | — |
| 277 | C2×C8 | — | 146 | 2 | no | — |
| 278 | C2×C8 | C22×#64408 | 1 | 1 | yes | characteristic |
| 279 | C2×C8 | C22×#64408 | 1 | 1 | yes | characteristic |
| 280 | C4⋊C4 | — | 2 | 2 | no | — |
| 281 | C4⋊C4 | — | 73 | 2 | no | — |
| 282 | C4⋊C4 | — | 146 | 2 | no | — |
| 283 | C4⋊C4 | — | 146 | 2 | no | — |
| 284 | C4⋊C4 | — | 146 | 2 | no | — |
| 285 | C4⋊C4 | — | 146 | 2 | no | — |
| 286 | C4⋊C4 | — | 146 | 2 | no | — |
| 287 | C4⋊C4 | — | 146 | 2 | no | — |
| 288 | C4⋊C4 | C22×#64408 | 1 | 2 | yes | — |
| 289 | C22⋊C4 | — | 2 | 2 | no | — |
| 290 | C22⋊C4 | — | 146 | 2 | no | — |
| 291 | C42 | — | 73 | 1 | no | — |
| 292 | C42 | — | 73 | 1 | no | — |
| 293 | C42 | — | 73 | 1 | no | — |
| 294 | C42 | — | 73 | 1 | no | — |
| 295 | C42 | — | 146 | 2 | no | — |
| 296 | C42 | — | 146 | 2 | no | — |
| 297 | C23 | D4×#64408 | 1 | 1 | yes | characteristic |
| 298 | Q8 | — | 2 | 2 | no | — |
| 299 | Q8 | — | 2 | 2 | no | — |
| 300 | Q8 | — | 584 | 2 | no | — |
| 301 | Q8 | — | 146 | 2 | no | — |
| 302 | Q8 | — | 146 | 2 | no | — |
| 303 | C2×C4 | — | 2 | 1 | no | — |
| 304 | C2×C4 | — | 2 | 1 | no | — |
| 305 | C2×C4 | — | 2 | 2 | no | — |
| 306 | C2×C4 | — | 2 | 2 | no | — |
| 307 | C2×C4 | — | 292 | 1 | no | — |
| 308 | C2×C4 | — | 73 | 1 | no | — |
| 309 | C2×C4 | — | 73 | 1 | no | — |
| 310 | C2×C4 | — | 73 | 1 | no | — |
| 311 | C2×C4 | — | 73 | 1 | no | — |
| 312 | C2×C4 | — | 146 | 2 | no | — |
| 313 | C2×C4 | — | 146 | 2 | no | — |
| 314 | C2×C4 | — | 146 | 2 | no | — |
| 315 | C2×C4 | D4×#64408 | 1 | 1 | yes | characteristic |
| 316 | C2×C4 | C23×#64408 | 1 | 1 | yes | characteristic |
| 317 | C8 | — | 2 | 1 | no | — |
| 318 | C8 | — | 2 | 1 | no | — |
| 319 | C8 | — | 292 | 2 | no | — |
| 320 | C8 | — | 292 | 2 | no | — |
| 321 | C8 | — | 292 | 2 | no | — |
| 322 | C8 | — | 146 | 2 | no | — |
| 323 | C8 | — | 146 | 2 | no | — |
| 324 | C8 | — | 146 | 1 | no | — |
| 325 | C8 | — | 146 | 1 | no | — |
| 326 | C22 | — | 2 | 1 | no | — |
| 327 | C22 | — | 2 | 1 | no | — |
| 328 | C22 | — | 2 | 1 | no | — |
| 329 | C22 | C2×D4×#64408 | 1 | 1 | yes | characteristic |
| 330 | C4 | — | 2 | 1 | no | — |
| 331 | C4 | — | 4 | 2 | no | — |
| 332 | C4 | — | 4 | 2 | no | — |
| 333 | C4 | — | 292 | 2 | no | — |
| 334 | C4 | — | 292 | 2 | no | — |
| 335 | C4 | — | 73 | 2 | no | — |
| 336 | C4 | — | 146 | 1 | no | — |
| 337 | C4 | — | 146 | 1 | no | — |
| 338 | C4 | — | 146 | 1 | no | — |
| 339 | C4 | #17989665 | 1 | 1 | yes | characteristic |
| 340 | C4 | #17989666 | 1 | 1 | yes | characteristic |
| 341 | C2 | — | 4 | 1 | no | — |
| 342 | C2 | #22626659 | 1 | 1 | yes | characteristic |
| 343 | C2 | #22626692 | 1 | 1 | yes | characteristic |
| 344 | C2 | #22626710 | 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