← #17942786
Subgroups — #17942786
Order 4352.
7104 conjugacy classes of subgroups.
The subgroup lattice has 1004 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #14542880 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #14542833 | C2 | 1 | 6 | yes | maximal, complemented |
| 3 | #14542801 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #14542762 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #14542695 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #14542670 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #14542603 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #14542569 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #14542536 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | #14542464 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #14542406 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #14542399 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | Q8×#63252 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #14542342 | C2 | 1 | 6 | yes | maximal, complemented |
| 15 | #14542211 | C2 | 1 | 6 | yes | maximal, complemented |
| 16 | #14542080 | C2 | 1 | 3 | yes | maximal, complemented |
| 17 | C2×#11763366 | C2 | 1 | 3 | yes | maximal, complemented |
| 18 | C4×#10587697 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | C2×C4×#41×C17 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | C2×#10587697 | C22 | 1 | 2 | yes | — |
| 21 | Q8×Dic34 | C22 | 1 | 2 | yes | complemented |
| 22 | #11763538 | C22 | 1 | 2 | yes | complemented |
| 23 | #11763537 | C22 | 1 | 6 | yes | complemented |
| 24 | #11763537 | C22 | 1 | 6 | yes | complemented |
| 25 | #11763532 | C22 | 1 | 6 | yes | complemented |
| 26 | #11763529 | C22 | 1 | 6 | yes | complemented |
| 27 | #11763529 | C22 | 1 | 6 | yes | complemented |
| 28 | #11763527 | C22 | 1 | 12 | yes | complemented |
| 29 | #11763524 | C22 | 1 | 6 | yes | complemented |
| 30 | #11763519 | C22 | 1 | 6 | yes | complemented |
| 31 | #11763516 | C22 | 1 | 6 | yes | complemented |
| 32 | #11763514 | C22 | 1 | 12 | yes | — |
| 33 | #11763505 | C22 | 1 | 12 | yes | complemented |
| 34 | #11763499 | C22 | 1 | 12 | yes | complemented |
| 35 | #11763499 | C22 | 1 | 12 | yes | complemented |
| 36 | #11763498 | C22 | 1 | 12 | yes | complemented |
| 37 | #11763494 | C22 | 1 | 12 | yes | — |
| 38 | #11763492 | C22 | 1 | 24 | yes | complemented |
| 39 | #11763485 | C22 | 1 | 24 | yes | — |
| 40 | Q8×D68 | C22 | 1 | 2 | yes | complemented |
| 41 | Q8×D68 | C22 | 1 | 2 | yes | complemented |
| 42 | D4×Dic34 | C22 | 1 | 6 | yes | complemented |
| 43 | Q8×C22⋊D17 | C22 | 1 | 4 | yes | — |
| 44 | #11763468 | C22 | 1 | 12 | yes | complemented |
| 45 | #11763466 | C22 | 1 | 4 | yes | — |
| 46 | #11763464 | C22 | 1 | 6 | yes | complemented |
| 47 | #11763463 | C22 | 1 | 6 | yes | complemented |
| 48 | #11763463 | C22 | 1 | 6 | yes | complemented |
| 49 | #11763458 | C22 | 1 | 12 | yes | — |
| 50 | #11763453 | C22 | 1 | 12 | yes | — |
| 51 | #11763437 | C22 | 1 | 6 | yes | complemented |
| 52 | #11763430 | C22 | 1 | 12 | yes | complemented |
| 53 | #11763424 | C22 | 1 | 12 | yes | complemented |
| 54 | #11763421 | C22 | 1 | 12 | yes | complemented |
| 55 | #11763417 | C22 | 1 | 12 | yes | complemented |
| 56 | #11763401 | C22 | 1 | 24 | yes | complemented |
| 57 | #11763387 | C22 | 1 | 6 | yes | — |
| 58 | #11763385 | C22 | 1 | 6 | yes | complemented |
| 59 | #11763380 | C22 | 1 | 6 | yes | — |
| 60 | #11763366 | C22 | 1 | 3 | yes | — |
| 61 | #11763366 | C22 | 1 | 6 | yes | — |
| 62 | #11763366 | C22 | 1 | 6 | yes | — |
| 63 | #11763366 | C22 | 1 | 6 | yes | — |
| 64 | #11763366 | C22 | 1 | 3 | yes | complemented |
| 65 | #11763366 | C22 | 1 | 3 | yes | complemented |
| 66 | #11763366 | C22 | 1 | 6 | yes | complemented |
| 67 | #11763366 | C22 | 1 | 6 | yes | complemented |
| 68 | #11763366 | C22 | 1 | 6 | yes | complemented |
| 69 | #11763366 | C22 | 1 | 6 | yes | complemented |
| 70 | #11763363 | C22 | 1 | 12 | yes | complemented |
| 71 | #11763359 | C22 | 1 | 1 | yes | characteristic |
| 72 | #11763359 | C22 | 1 | 3 | yes | complemented |
| 73 | #11763359 | C22 | 1 | 3 | yes | complemented |
| 74 | C2×#10587555 | C22 | 1 | 3 | yes | complemented |
| 75 | C2×#10587555 | C22 | 1 | 3 | yes | complemented |
| 76 | #11763343 | C22 | 1 | 6 | yes | — |
| 77 | #11763343 | C22 | 1 | 6 | yes | — |
| 78 | #11763343 | C22 | 1 | 6 | yes | complemented |
| 79 | #11763343 | C22 | 1 | 6 | yes | complemented |
| 80 | #11763343 | C22 | 1 | 6 | yes | complemented |
| 81 | #11763343 | C22 | 1 | 6 | yes | complemented |
| 82 | #11763341 | C22 | 1 | 12 | yes | complemented |
| 83 | #11763339 | C22 | 1 | 24 | yes | complemented |
| 84 | C2×#10587556 | C22 | 1 | 6 | yes | complemented |
| 85 | #11763320 | C22 | 1 | 6 | yes | — |
| 86 | #11763320 | C22 | 1 | 6 | yes | — |
| 87 | #11763320 | C22 | 1 | 6 | yes | — |
| 88 | C2×#10587610 | C22 | 1 | 6 | yes | — |
| 89 | C2×#10587610 | C22 | 1 | 6 | yes | — |
| 90 | #11763292 | C22 | 1 | 2 | yes | — |
| 91 | #11763289 | C22 | 1 | 6 | yes | complemented |
| 92 | #11763288 | C22 | 1 | 12 | yes | complemented |
| 93 | #11763286 | C22 | 1 | 6 | yes | complemented |
| 94 | #11763285 | C22 | 1 | 4 | yes | complemented |
| 95 | C4×#63252 | C22 | 1 | 6 | yes | — |
| 96 | C4×#63252 | C22 | 1 | 6 | yes | complemented |
| 97 | C4×#63252 | C22 | 1 | 6 | yes | complemented |
| 98 | C4×#63254 | C22 | 1 | 12 | yes | complemented |
| 99 | C2×C4×Dic34 | C22 | 1 | 6 | yes | complemented |
| 100 | C2×C4×Dic34 | C22 | 1 | 6 | yes | complemented |
| 101 | C4×Q8×D17 | C22 | 1 | 4 | yes | complemented |
| 102 | C2×#10587612 | C22 | 1 | 6 | yes | — |
| 103 | C22×#41×C17 | C22 | 1 | 1 | yes | characteristic |
| 104 | C4×#41×C17 | C22 | 1 | 1 | yes | characteristic |
| 105 | C4×#41×C17 | C22 | 1 | 3 | yes | — |
| 106 | C4×#41×C17 | C22 | 1 | 1 | yes | characteristic |
| 107 | C4×#41×C17 | C22 | 1 | 3 | yes | — |
| 108 | C4×#41×C17 | C22 | 1 | 3 | yes | — |
| 109 | C4×#41×C17 | C22 | 1 | 1 | yes | characteristic |
| 110 | C4×#41×C17 | C22 | 1 | 3 | yes | — |
| 111 | C4×#41×C17 | C22 | 1 | 1 | yes | characteristic |
| 112 | C2×C4×Q8×C17 | C22 | 1 | 1 | yes | characteristic |
| 113 | C2×C4×Q8×C17 | C22 | 1 | 1 | yes | characteristic |
| 114 | C2×C4×D4×C17 | C22 | 1 | 3 | yes | — |
| 115 | C2×C4×D4×C17 | C22 | 1 | 3 | yes | — |
| 116 | C2×C17×#117 | C22 | 1 | 3 | yes | — |
| 117 | C22×C42×C17 | C22 | 1 | 3 | yes | — |
| 118 | C2×#41×C17 | — | 2 | 8 | no | — |
| 119 | C2×#41×C17 | C23 | 1 | 3 | yes | — |
| 120 | C2×#41×C17 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×#41×C17 | C23 | 1 | 3 | yes | — |
| 122 | C2×#41×C17 | C23 | 1 | 1 | yes | characteristic |
| 123 | C22×Q8×C17 | C23 | 1 | 1 | yes | characteristic |
| 124 | C22×D4×C17 | C23 | 1 | 3 | yes | — |
| 125 | C23×C4×C17 | C23 | 1 | 3 | yes | — |
| 126 | C23×C4×C17 | C23 | 1 | 3 | yes | — |
| 127 | C23×C4×C17 | C23 | 1 | 3 | yes | — |
| 128 | #10587697 | — | 2 | 16 | no | — |
| 129 | C2×Q8×D17 | C23 | 1 | 4 | yes | — |
| 130 | C2×#63254 | C23 | 1 | 12 | yes | — |
| 131 | C2×#63252 | C23 | 1 | 2 | yes | — |
| 132 | C2×#63252 | C23 | 1 | 6 | yes | — |
| 133 | C2×#63252 | C23 | 1 | 6 | yes | — |
| 134 | C22×Dic34 | C23 | 1 | 6 | yes | — |
| 135 | C22×Dic34 | C23 | 1 | 6 | yes | — |
| 136 | C4×Q8×C17 | C23 | 1 | 1 | yes | characteristic |
| 137 | C4×Q8×C17 | C23 | 1 | 1 | yes | characteristic |
| 138 | C4×Q8×C17 | C23 | 1 | 3 | yes | — |
| 139 | C4×Q8×C17 | C23 | 1 | 1 | yes | characteristic |
| 140 | C4×Q8×C17 | C23 | 1 | 3 | yes | — |
| 141 | C4×Q8×C17 | C23 | 1 | 1 | yes | characteristic |
| 142 | C4×Q8×C17 | C23 | 1 | 3 | yes | — |
| 143 | C4×Q8×C17 | C23 | 1 | 3 | yes | — |
| 144 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 145 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 146 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 147 | C4×D4×C17 | C23 | 1 | 6 | yes | — |
| 148 | C4×D4×C17 | C23 | 1 | 6 | yes | — |
| 149 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 150 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 151 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 152 | C4×D4×C17 | C23 | 1 | 6 | yes | — |
| 153 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 154 | C4×D4×C17 | C23 | 1 | 6 | yes | — |
| 155 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 156 | C17×#117 | C23 | 1 | 6 | yes | — |
| 157 | C17×#117 | C23 | 1 | 3 | yes | — |
| 158 | C17×#117 | C23 | 1 | 3 | yes | — |
| 159 | C17×#117 | C23 | 1 | 3 | yes | — |
| 160 | C17×#117 | C23 | 1 | 3 | yes | — |
| 161 | C17×#117 | C23 | 1 | 6 | yes | — |
| 162 | C2×C4⋊C4×C17 | C23 | 1 | 3 | yes | — |
| 163 | C2×C4⋊C4×C17 | C23 | 1 | 3 | yes | — |
| 164 | C2×C22⋊C4×C17 | C23 | 1 | 6 | yes | — |
| 165 | C2×C42×C17 | C23 | 1 | 1 | yes | characteristic |
| 166 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 167 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 168 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 169 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 170 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 171 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 172 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 173 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 174 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 175 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 176 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 177 | #10587639 | C23 | 1 | 12 | yes | — |
| 178 | C2×C22⋊Dic17 | C23 | 1 | 12 | yes | — |
| 179 | #10587632 | C23 | 1 | 12 | yes | — |
| 180 | Q8×Dic17 | C23 | 1 | 4 | yes | — |
| 181 | #10587630 | C23 | 1 | 12 | yes | — |
| 182 | #10587625 | C23 | 1 | 24 | yes | — |
| 183 | #10587624 | C23 | 1 | 12 | yes | — |
| 184 | #10587622 | C23 | 1 | 12 | yes | — |
| 185 | #10587621 | C23 | 1 | 24 | yes | — |
| 186 | D4×Dic17 | C23 | 1 | 12 | yes | — |
| 187 | #10587616 | C23 | 1 | 6 | yes | — |
| 188 | #10587616 | C23 | 1 | 6 | yes | — |
| 189 | #10587616 | C23 | 1 | 6 | yes | — |
| 190 | #10587616 | C23 | 1 | 2 | yes | — |
| 191 | #10587616 | C23 | 1 | 2 | yes | — |
| 192 | #10587616 | C23 | 1 | 6 | yes | — |
| 193 | #10587615 | C23 | 1 | 12 | yes | — |
| 194 | #10587615 | C23 | 1 | 12 | yes | — |
| 195 | #10587615 | C23 | 1 | 12 | yes | — |
| 196 | C4×C22⋊D17 | C23 | 1 | 12 | yes | — |
| 197 | C4×C22⋊D17 | C23 | 1 | 12 | yes | — |
| 198 | C4×C22⋊D17 | C23 | 1 | 12 | yes | — |
| 199 | C4×C22⋊D17 | C23 | 1 | 12 | yes | — |
| 200 | C4×C22⋊D17 | C23 | 1 | 12 | yes | — |
| 201 | C4×C22⋊D17 | C23 | 1 | 12 | yes | — |
| 202 | #10587612 | C23 | 1 | 12 | yes | — |
| 203 | #10587612 | C23 | 1 | 6 | yes | — |
| 204 | #10587612 | C23 | 1 | 12 | yes | — |
| 205 | #10587612 | C23 | 1 | 6 | yes | — |
| 206 | #10587612 | C23 | 1 | 12 | yes | — |
| 207 | #10587612 | C23 | 1 | 6 | yes | — |
| 208 | C2×C4⋊Dic17 | C23 | 1 | 6 | yes | — |
| 209 | C2×C4⋊Dic17 | C23 | 1 | 6 | yes | — |
| 210 | C2×C4⋊Dic17 | C23 | 1 | 6 | yes | — |
| 211 | C2×C4⋊Dic17 | C23 | 1 | 6 | yes | — |
| 212 | #10587610 | C23 | 1 | 12 | yes | — |
| 213 | #10587610 | C23 | 1 | 12 | yes | — |
| 214 | #10587610 | C23 | 1 | 12 | yes | — |
| 215 | #10587610 | C23 | 1 | 6 | yes | — |
| 216 | #10587610 | C23 | 1 | 12 | yes | — |
| 217 | #10587610 | C23 | 1 | 6 | yes | — |
| 218 | #10587610 | C23 | 1 | 6 | yes | — |
| 219 | #10587610 | C23 | 1 | 6 | yes | — |
| 220 | #10587610 | C23 | 1 | 6 | yes | — |
| 221 | #10587610 | C23 | 1 | 12 | yes | — |
| 222 | #10587610 | C23 | 1 | 12 | yes | — |
| 223 | #10587610 | C23 | 1 | 6 | yes | — |
| 224 | C2×#63225 | C23 | 1 | 12 | yes | — |
| 225 | C2×#63225 | C23 | 1 | 12 | yes | — |
| 226 | C2×C4×Dic17 | C23 | 1 | 12 | yes | — |
| 227 | #10587584 | C23 | 1 | 24 | yes | — |
| 228 | #10587583 | C23 | 1 | 12 | yes | — |
| 229 | #10587583 | C23 | 1 | 12 | yes | — |
| 230 | #10587582 | C23 | 1 | 24 | yes | — |
| 231 | #10587578 | C23 | 1 | 12 | yes | — |
| 232 | C4⋊C4×D17 | C23 | 1 | 12 | yes | — |
| 233 | #10587576 | C23 | 1 | 12 | yes | — |
| 234 | #10587575 | C23 | 1 | 24 | yes | — |
| 235 | #10587575 | C23 | 1 | 24 | yes | — |
| 236 | #10587574 | C23 | 1 | 12 | yes | — |
| 237 | #10587573 | C23 | 1 | 12 | yes | — |
| 238 | #10587573 | C23 | 1 | 12 | yes | — |
| 239 | #10587572 | C23 | 1 | 24 | yes | — |
| 240 | #10587571 | C23 | 1 | 24 | yes | — |
| 241 | #10587569 | C23 | 1 | 24 | yes | — |
| 242 | #10587567 | C23 | 1 | 24 | yes | — |
| 243 | #10587565 | C23 | 1 | 24 | yes | — |
| 244 | #10587565 | C23 | 1 | 24 | yes | — |
| 245 | #10587564 | C23 | 1 | 24 | yes | — |
| 246 | #10587563 | C23 | 1 | 24 | yes | — |
| 247 | #10587562 | C23 | 1 | 12 | yes | — |
| 248 | #10587562 | C23 | 1 | 12 | yes | — |
| 249 | #10587561 | C23 | 1 | 6 | yes | — |
| 250 | #10587561 | C23 | 1 | 6 | yes | — |
| 251 | #10587561 | C23 | 1 | 2 | yes | — |
| 252 | #10587560 | C23 | 1 | 1 | yes | characteristic |
| 253 | C4×D68 | C23 | 1 | 6 | yes | — |
| 254 | C4×D68 | C23 | 1 | 6 | yes | — |
| 255 | C4×D68 | C23 | 1 | 6 | yes | — |
| 256 | C4×D68 | C23 | 1 | 2 | yes | — |
| 257 | C4×D68 | C23 | 1 | 2 | yes | — |
| 258 | C4×D68 | C23 | 1 | 6 | yes | — |
| 259 | #10587558 | C23 | 1 | 12 | yes | — |
| 260 | #10587558 | C23 | 1 | 12 | yes | — |
| 261 | #10587558 | C23 | 1 | 12 | yes | — |
| 262 | C42×D17 | C23 | 1 | 12 | yes | — |
| 263 | #10587556 | C23 | 1 | 12 | yes | — |
| 264 | #10587556 | C23 | 1 | 6 | yes | — |
| 265 | #10587556 | C23 | 1 | 12 | yes | — |
| 266 | #10587556 | C23 | 1 | 6 | yes | — |
| 267 | #10587556 | C23 | 1 | 12 | yes | — |
| 268 | #10587556 | C23 | 1 | 6 | yes | — |
| 269 | #10587555 | C23 | 1 | 6 | yes | — |
| 270 | #10587555 | C23 | 1 | 6 | yes | — |
| 271 | #10587555 | C23 | 1 | 6 | yes | — |
| 272 | #10587555 | C23 | 1 | 6 | yes | — |
| 273 | #10587555 | C23 | 1 | 3 | yes | — |
| 274 | #10587555 | C23 | 1 | 3 | yes | — |
| 275 | #10587555 | C23 | 1 | 6 | yes | — |
| 276 | #10587555 | C23 | 1 | 6 | yes | — |
| 277 | #10587555 | C23 | 1 | 1 | yes | characteristic |
| 278 | C4×Dic34 | C23 | 1 | 12 | yes | — |
| 279 | C4×Dic34 | C23 | 1 | 6 | yes | — |
| 280 | C4×Dic34 | C23 | 1 | 12 | yes | — |
| 281 | C4×Dic34 | C23 | 1 | 6 | yes | — |
| 282 | C4×Dic34 | C23 | 1 | 6 | yes | — |
| 283 | C4×Dic34 | C23 | 1 | 12 | yes | — |
| 284 | C4×Dic34 | C23 | 1 | 6 | yes | — |
| 285 | C4×Dic34 | C23 | 1 | 6 | yes | — |
| 286 | C4×Dic34 | C23 | 1 | 12 | yes | — |
| 287 | C4×Dic34 | C23 | 1 | 12 | yes | — |
| 288 | C4×Dic34 | C23 | 1 | 12 | yes | — |
| 289 | C4×Dic34 | C23 | 1 | 6 | yes | — |
| 290 | C24×C17 | C24 | 1 | 3 | yes | — |
| 291 | #41×C17 | — | 2 | 4 | no | — |
| 292 | #41×C17 | — | 2 | 12 | no | — |
| 293 | #41×C17 | — | 2 | 12 | no | — |
| 294 | #41×C17 | #41 | 1 | 8 | yes | complemented |
| 295 | C2×Q8×C17 | — | 2 | 4 | no | — |
| 296 | C2×Q8×C17 | C24 | 1 | 3 | yes | — |
| 297 | C2×Q8×C17 | C24 | 1 | 1 | yes | characteristic |
| 298 | C2×D4×C17 | — | 2 | 12 | no | — |
| 299 | C2×D4×C17 | C24 | 1 | 6 | yes | — |
| 300 | C2×D4×C17 | C24 | 1 | 3 | yes | — |
| 301 | C2×D4×C17 | C24 | 1 | 3 | yes | — |
| 302 | C22×C4×C17 | — | 2 | 12 | no | — |
| 303 | C22×C4×C17 | — | 2 | 12 | no | — |
| 304 | C22×C4×C17 | — | 4 | 6 | no | — |
| 305 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 306 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 307 | C22×C4×C17 | C24 | 1 | 1 | yes | characteristic |
| 308 | C22×C4×C17 | C24 | 1 | 1 | yes | characteristic |
| 309 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 310 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 311 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 312 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 313 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 314 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 315 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 316 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 317 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 318 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 319 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 320 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 321 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 322 | C22×C4×C17 | C24 | 1 | 1 | yes | characteristic |
| 323 | C2×C22⋊D17 | C24 | 1 | 12 | yes | — |
| 324 | C2×C22⋊D17 | C24 | 1 | 4 | yes | — |
| 325 | C2×C22⋊D17 | C24 | 1 | 12 | yes | — |
| 326 | C22×Dic17 | C24 | 1 | 12 | yes | — |
| 327 | C22×Dic17 | C24 | 1 | 12 | yes | — |
| 328 | Q8×D17 | — | 2 | 16 | no | — |
| 329 | #63254 | — | 2 | 48 | no | — |
| 330 | #63252 | — | 2 | 24 | no | — |
| 331 | #63252 | — | 2 | 8 | no | — |
| 332 | #63252 | — | 4 | 12 | no | — |
| 333 | C2×D68 | C24 | 1 | 2 | yes | — |
| 334 | C2×D68 | C24 | 1 | 2 | yes | — |
| 335 | C2×D68 | C24 | 1 | 2 | yes | — |
| 336 | C2×C4×D17 | C24 | 1 | 12 | yes | — |
| 337 | C2×C4×D17 | C24 | 1 | 4 | yes | — |
| 338 | C2×C4×D17 | C24 | 1 | 12 | yes | — |
| 339 | C2×Dic34 | — | 2 | 24 | no | — |
| 340 | C2×Dic34 | — | 4 | 12 | no | — |
| 341 | C2×Dic34 | C24 | 1 | 6 | yes | — |
| 342 | C2×Dic34 | C24 | 1 | 6 | yes | — |
| 343 | C2×Dic34 | C24 | 1 | 12 | yes | — |
| 344 | C2×Dic34 | C24 | 1 | 2 | yes | — |
| 345 | C2×Dic34 | C24 | 1 | 12 | yes | — |
| 346 | C4⋊C4×C17 | C24 | 1 | 3 | yes | — |
| 347 | C4⋊C4×C17 | C24 | 1 | 3 | yes | — |
| 348 | C4⋊C4×C17 | C24 | 1 | 3 | yes | — |
| 349 | C4⋊C4×C17 | C24 | 1 | 6 | yes | — |
| 350 | C4⋊C4×C17 | C24 | 1 | 6 | yes | — |
| 351 | C4⋊C4×C17 | C24 | 1 | 3 | yes | — |
| 352 | C22⋊C4×C17 | C24 | 1 | 6 | yes | — |
| 353 | C22⋊C4×C17 | C24 | 1 | 6 | yes | — |
| 354 | C22⋊C4×C17 | C24 | 1 | 6 | yes | — |
| 355 | C22⋊C4×C17 | C24 | 1 | 6 | yes | — |
| 356 | C42×C17 | C24 | 1 | 1 | yes | characteristic |
| 357 | C42×C17 | C24 | 1 | 1 | yes | characteristic |
| 358 | C42×C17 | C24 | 1 | 3 | yes | — |
| 359 | C42×C17 | C24 | 1 | 3 | yes | — |
| 360 | C42×C17 | C24 | 1 | 3 | yes | — |
| 361 | C42×C17 | C24 | 1 | 3 | yes | — |
| 362 | C42×C17 | C24 | 1 | 3 | yes | — |
| 363 | C42×C17 | C24 | 1 | 3 | yes | — |
| 364 | C42×C17 | C24 | 1 | 3 | yes | — |
| 365 | C42×C17 | C24 | 1 | 3 | yes | — |
| 366 | C42×C17 | C24 | 1 | 3 | yes | — |
| 367 | C42×C17 | C24 | 1 | 1 | yes | characteristic |
| 368 | C42×C17 | C24 | 1 | 3 | yes | — |
| 369 | C42×C17 | C24 | 1 | 1 | yes | characteristic |
| 370 | C42×C17 | C24 | 1 | 3 | yes | — |
| 371 | C42×C17 | C24 | 1 | 3 | yes | — |
| 372 | C22⋊Dic17 | C24 | 1 | 12 | yes | — |
| 373 | C22⋊Dic17 | C24 | 1 | 12 | yes | — |
| 374 | C22⋊Dic17 | C24 | 1 | 24 | yes | — |
| 375 | C22⋊Dic17 | C24 | 1 | 12 | yes | — |
| 376 | #63227 | C24 | 1 | 4 | yes | — |
| 377 | #63227 | C24 | 1 | 4 | yes | — |
| 378 | #63227 | C24 | 1 | 12 | yes | — |
| 379 | #63227 | C24 | 1 | 12 | yes | — |
| 380 | #63227 | C24 | 1 | 12 | yes | — |
| 381 | #63227 | C24 | 1 | 12 | yes | — |
| 382 | C4⋊Dic17 | C24 | 1 | 6 | yes | — |
| 383 | C4⋊Dic17 | C24 | 1 | 6 | yes | — |
| 384 | C4⋊Dic17 | C24 | 1 | 2 | yes | — |
| 385 | C4⋊Dic17 | C24 | 1 | 2 | yes | — |
| 386 | C4⋊Dic17 | C24 | 1 | 12 | yes | — |
| 387 | C4⋊Dic17 | C24 | 1 | 12 | yes | — |
| 388 | C4⋊Dic17 | C24 | 1 | 6 | yes | — |
| 389 | C4⋊Dic17 | C24 | 1 | 6 | yes | — |
| 390 | C4⋊Dic17 | C24 | 1 | 12 | yes | — |
| 391 | C4⋊Dic17 | C24 | 1 | 12 | yes | — |
| 392 | #63225 | C24 | 1 | 12 | yes | — |
| 393 | #63225 | C24 | 1 | 12 | yes | — |
| 394 | #63225 | C24 | 1 | 24 | yes | — |
| 395 | #63225 | C24 | 1 | 24 | yes | — |
| 396 | #63225 | C24 | 1 | 12 | yes | — |
| 397 | #63225 | C24 | 1 | 12 | yes | — |
| 398 | #63225 | C24 | 1 | 12 | yes | — |
| 399 | #63225 | C24 | 1 | 12 | yes | — |
| 400 | C4×Dic17 | C24 | 1 | 12 | yes | — |
| 401 | C4×Dic17 | C24 | 1 | 24 | yes | — |
| 402 | C4×Dic17 | C24 | 1 | 12 | yes | — |
| 403 | C4×Dic17 | C24 | 1 | 12 | yes | — |
| 404 | #62805 | — | 17 | 1 | no | maximal, Sylow |
| 405 | C23×C17 | — | 2 | 6 | no | — |
| 406 | C23×C17 | — | 2 | 6 | no | — |
| 407 | C23×C17 | — | 4 | 3 | no | — |
| 408 | C23×C17 | C25 | 1 | 3 | yes | — |
| 409 | C23×C17 | C25 | 1 | 3 | yes | — |
| 410 | C23×C17 | C25 | 1 | 1 | yes | characteristic |
| 411 | C22×D17 | C25 | 1 | 4 | yes | — |
| 412 | Q8×C17 | — | 2 | 6 | no | — |
| 413 | Q8×C17 | C2×#41 | 1 | 4 | yes | — |
| 414 | D4×C17 | — | 2 | 12 | no | — |
| 415 | D4×C17 | — | 2 | 6 | no | — |
| 416 | D4×C17 | C2×#41 | 1 | 12 | yes | — |
| 417 | C2×C4×C17 | — | 2 | 6 | no | — |
| 418 | C2×C4×C17 | — | 2 | 6 | no | — |
| 419 | C2×C4×C17 | — | 2 | 2 | no | — |
| 420 | C2×C4×C17 | — | 2 | 6 | no | — |
| 421 | C2×C4×C17 | — | 2 | 6 | no | — |
| 422 | C2×C4×C17 | — | 2 | 6 | no | — |
| 423 | C2×C4×C17 | — | 2 | 6 | no | — |
| 424 | C2×C4×C17 | — | 2 | 6 | no | — |
| 425 | C2×C4×C17 | — | 2 | 6 | no | — |
| 426 | C2×C4×C17 | — | 2 | 6 | no | — |
| 427 | C2×C4×C17 | — | 2 | 6 | no | — |
| 428 | C2×C4×C17 | — | 2 | 6 | no | — |
| 429 | C2×C4×C17 | — | 2 | 2 | no | — |
| 430 | C2×C4×C17 | — | 4 | 3 | no | — |
| 431 | C2×C4×C17 | — | 4 | 3 | no | — |
| 432 | C2×C4×C17 | — | 4 | 3 | no | — |
| 433 | C2×C4×C17 | C2×#41 | 1 | 12 | yes | — |
| 434 | C2×C4×C17 | 2−1+4 | 1 | 4 | yes | complemented |
| 435 | C2×C4×C17 | C25 | 1 | 1 | yes | characteristic |
| 436 | C2×C4×C17 | C25 | 1 | 1 | yes | characteristic |
| 437 | C2×C4×C17 | C25 | 1 | 3 | yes | — |
| 438 | C2×C4×C17 | C25 | 1 | 3 | yes | — |
| 439 | C2×C4×C17 | C25 | 1 | 3 | yes | — |
| 440 | C2×C4×C17 | C25 | 1 | 3 | yes | — |
| 441 | C2×C4×C17 | C25 | 1 | 3 | yes | — |
| 442 | C2×C4×C17 | C25 | 1 | 1 | yes | characteristic |
| 443 | C2×C4×C17 | C25 | 1 | 3 | yes | — |
| 444 | C2×C4×C17 | C25 | 1 | 1 | yes | characteristic |
| 445 | C2×C4×C17 | C25 | 1 | 1 | yes | characteristic |
| 446 | C2×C4×C17 | C25 | 1 | 1 | yes | characteristic |
| 447 | C22⋊D17 | — | 2 | 24 | no | — |
| 448 | C22⋊D17 | — | 2 | 8 | no | — |
| 449 | C22⋊D17 | — | 4 | 12 | no | — |
| 450 | C2×Dic17 | — | 2 | 24 | no | — |
| 451 | C2×Dic17 | — | 4 | 12 | no | — |
| 452 | C2×Dic17 | C25 | 1 | 4 | yes | — |
| 453 | C2×Dic17 | C25 | 1 | 12 | yes | — |
| 454 | C2×Dic17 | C25 | 1 | 12 | yes | — |
| 455 | D68 | — | 2 | 4 | no | — |
| 456 | D68 | — | 2 | 4 | no | — |
| 457 | D68 | — | 2 | 4 | no | — |
| 458 | C4×D17 | — | 2 | 24 | no | — |
| 459 | C4×D17 | — | 2 | 8 | no | — |
| 460 | C4×D17 | — | 4 | 12 | no | — |
| 461 | Dic34 | — | 2 | 12 | no | — |
| 462 | Dic34 | — | 2 | 24 | no | — |
| 463 | Dic34 | — | 2 | 4 | no | — |
| 464 | Dic34 | — | 2 | 12 | no | — |
| 465 | Dic34 | — | 4 | 12 | no | — |
| 466 | #3523 | — | 17 | 2 | no | — |
| 467 | #3520 | — | 17 | 6 | no | — |
| 468 | #3518 | — | 17 | 2 | no | — |
| 469 | #3515 | — | 17 | 6 | no | — |
| 470 | #3511 | — | 17 | 3 | no | — |
| 471 | #3509 | — | 17 | 3 | no | — |
| 472 | #3503 | — | 17 | 1 | no | — |
| 473 | #3499 | — | 17 | 1 | no | — |
| 474 | #3495 | — | 17 | 6 | no | — |
| 475 | #3489 | — | 17 | 2 | no | — |
| 476 | #3482 | — | 17 | 6 | no | — |
| 477 | #3482 | — | 17 | 2 | no | — |
| 478 | Q8×#41 | — | 17 | 2 | no | — |
| 479 | #3475 | — | 17 | 6 | no | — |
| 480 | #3461 | — | 17 | 6 | no | — |
| 481 | #3444 | — | 17 | 3 | no | — |
| 482 | C2×#533 | — | 17 | 3 | no | — |
| 483 | C4×2−1+4 | — | 17 | 2 | no | — |
| 484 | C2×C4×#41 | D17 | 1 | 1 | yes | characteristic, complemented |
| 485 | C22×C17 | — | 2 | 1 | no | — |
| 486 | C22×C17 | — | 2 | 3 | no | — |
| 487 | C22×C17 | — | 2 | 3 | no | — |
| 488 | C22×C17 | — | 2 | 1 | no | — |
| 489 | C22×C17 | — | 2 | 3 | no | — |
| 490 | C22×C17 | — | 2 | 3 | no | — |
| 491 | C22×C17 | — | 2 | 3 | no | — |
| 492 | C22×C17 | — | 4 | 12 | no | — |
| 493 | C22×C17 | C22×#41 | 1 | 6 | yes | — |
| 494 | C22×C17 | C2×2−1+4 | 1 | 2 | yes | — |
| 495 | C22×C17 | C26 | 1 | 1 | yes | characteristic |
| 496 | C2×D17 | — | 2 | 4 | no | — |
| 497 | C2×D17 | — | 2 | 4 | no | — |
| 498 | C2×D17 | — | 2 | 4 | no | — |
| 499 | C4×C17 | — | 2 | 1 | no | — |
| 500 | C4×C17 | — | 2 | 3 | no | — |
| 501 | C4×C17 | — | 2 | 3 | no | — |
| 502 | C4×C17 | — | 2 | 3 | no | — |
| 503 | C4×C17 | — | 2 | 3 | no | — |
| 504 | C4×C17 | — | 2 | 3 | no | — |
| 505 | C4×C17 | — | 2 | 1 | no | — |
| 506 | C4×C17 | C22×#41 | 1 | 2 | yes | — |
| 507 | C4×C17 | C22×#41 | 1 | 6 | yes | — |
| 508 | C4×C17 | C2×2−1+4 | 1 | 2 | yes | — |
| 509 | C4×C17 | C2×2−1+4 | 1 | 2 | yes | — |
| 510 | C4×C17 | #585 | 1 | 2 | yes | — |
| 511 | Dic17 | — | 2 | 12 | no | — |
| 512 | Dic17 | — | 2 | 4 | no | — |
| 513 | Dic17 | — | 2 | 12 | no | — |
| 514 | C2×2−1+4 | — | 17 | 2 | no | — |
| 515 | C22×#41 | C2×D17 | 1 | 1 | yes | characteristic |
| 516 | Q82 | — | 17 | 2 | no | — |
| 517 | #557 | — | 17 | 6 | no | — |
| 518 | #557 | — | 17 | 6 | no | — |
| 519 | #557 | — | 17 | 2 | no | — |
| 520 | #556 | — | 17 | 6 | no | — |
| 521 | #556 | — | 17 | 6 | no | — |
| 522 | #556 | — | 17 | 6 | no | — |
| 523 | #556 | — | 17 | 12 | no | — |
| 524 | #555 | — | 17 | 6 | no | — |
| 525 | #554 | — | 17 | 6 | no | — |
| 526 | #554 | — | 17 | 6 | no | — |
| 527 | #554 | — | 17 | 12 | no | — |
| 528 | #553 | — | 17 | 12 | no | — |
| 529 | #552 | — | 17 | 12 | no | — |
| 530 | #552 | — | 17 | 12 | no | — |
| 531 | #552 | — | 17 | 24 | no | — |
| 532 | #552 | — | 17 | 12 | no | — |
| 533 | #552 | — | 17 | 12 | no | — |
| 534 | #551 | — | 17 | 24 | no | — |
| 535 | D4×Q8 | — | 17 | 4 | no | — |
| 536 | D4×Q8 | — | 17 | 2 | no | — |
| 537 | D4×Q8 | — | 17 | 2 | no | — |
| 538 | D4×Q8 | — | 17 | 6 | no | — |
| 539 | #548 | — | 17 | 4 | no | — |
| 540 | #548 | — | 17 | 12 | no | — |
| 541 | #547 | — | 17 | 12 | no | — |
| 542 | #547 | — | 17 | 6 | no | — |
| 543 | #547 | — | 17 | 6 | no | — |
| 544 | #547 | — | 17 | 6 | no | — |
| 545 | #546 | — | 17 | 12 | no | — |
| 546 | #544 | — | 17 | 6 | no | — |
| 547 | #542 | — | 17 | 12 | no | — |
| 548 | #542 | — | 17 | 12 | no | — |
| 549 | #541 | — | 17 | 12 | no | — |
| 550 | #541 | — | 17 | 12 | no | — |
| 551 | #539 | — | 17 | 24 | no | — |
| 552 | #537 | — | 17 | 6 | no | — |
| 553 | #536 | — | 17 | 6 | no | — |
| 554 | #536 | — | 17 | 6 | no | — |
| 555 | #533 | — | 17 | 12 | no | — |
| 556 | #533 | — | 17 | 3 | no | — |
| 557 | #533 | — | 17 | 6 | no | — |
| 558 | #533 | — | 17 | 6 | no | — |
| 559 | #533 | — | 17 | 6 | no | — |
| 560 | #533 | — | 17 | 6 | no | — |
| 561 | #533 | — | 17 | 6 | no | — |
| 562 | #533 | — | 17 | 6 | no | — |
| 563 | #533 | — | 17 | 6 | no | — |
| 564 | #533 | — | 17 | 3 | no | — |
| 565 | #533 | — | 17 | 3 | no | — |
| 566 | #532 | — | 17 | 1 | no | — |
| 567 | #532 | — | 17 | 3 | no | — |
| 568 | #532 | — | 17 | 3 | no | — |
| 569 | C2×C4⋊Q8 | — | 17 | 3 | no | — |
| 570 | C2×C4⋊Q8 | — | 17 | 3 | no | — |
| 571 | #529 | — | 17 | 24 | no | — |
| 572 | #529 | — | 17 | 12 | no | — |
| 573 | #529 | — | 17 | 6 | no | — |
| 574 | #529 | — | 17 | 6 | no | — |
| 575 | #529 | — | 17 | 6 | no | — |
| 576 | #529 | — | 17 | 6 | no | — |
| 577 | #529 | — | 17 | 6 | no | — |
| 578 | #529 | — | 17 | 6 | no | — |
| 579 | C2×#125 | — | 17 | 6 | no | — |
| 580 | #525 | — | 17 | 6 | no | — |
| 581 | #525 | — | 17 | 6 | no | — |
| 582 | #525 | — | 17 | 6 | no | — |
| 583 | C2×C22⋊Q8 | — | 17 | 6 | no | — |
| 584 | C2×C22⋊Q8 | — | 17 | 6 | no | — |
| 585 | #520 | — | 17 | 2 | no | — |
| 586 | #520 | — | 17 | 12 | no | — |
| 587 | #520 | — | 17 | 6 | no | — |
| 588 | #519 | — | 17 | 4 | no | — |
| 589 | #519 | — | 17 | 6 | no | — |
| 590 | C4×#41 | — | 17 | 12 | no | — |
| 591 | C4×#41 | — | 17 | 6 | no | — |
| 592 | C4×#41 | — | 17 | 6 | no | — |
| 593 | C4×#41 | — | 17 | 6 | no | — |
| 594 | C4×#41 | C2×D17 | 1 | 1 | yes | characteristic |
| 595 | C4×#41 | C2×D17 | 1 | 3 | yes | — |
| 596 | C4×#41 | C2×D17 | 1 | 3 | yes | — |
| 597 | C4×#41 | C2×D17 | 1 | 1 | yes | characteristic |
| 598 | C4×#41 | C2×D17 | 1 | 1 | yes | characteristic |
| 599 | C4×#41 | C2×D17 | 1 | 3 | yes | — |
| 600 | C4×#41 | C2×D17 | 1 | 3 | yes | — |
| 601 | C4×#41 | C2×D17 | 1 | 1 | yes | characteristic |
| 602 | C2×C4×Q8 | — | 17 | 4 | no | — |
| 603 | C2×C4×Q8 | — | 17 | 6 | no | — |
| 604 | C2×C4×Q8 | — | 17 | 6 | no | — |
| 605 | C2×C4×Q8 | C2×D17 | 1 | 1 | yes | characteristic |
| 606 | C2×C4×Q8 | C2×D17 | 1 | 1 | yes | characteristic |
| 607 | C2×C4×D4 | C2×D17 | 1 | 3 | yes | — |
| 608 | C2×C4×D4 | C2×D17 | 1 | 3 | yes | — |
| 609 | C2×#117 | — | 17 | 6 | no | — |
| 610 | C2×#117 | C2×D17 | 1 | 3 | yes | — |
| 611 | C22×C42 | C2×D17 | 1 | 3 | yes | — |
| 612 | C2×C17 | — | 2 | 2 | no | — |
| 613 | C2×C17 | — | 2 | 6 | no | — |
| 614 | C2×C17 | — | 4 | 3 | no | — |
| 615 | C2×C17 | C23×#41 | 1 | 1 | yes | characteristic |
| 616 | C2×C17 | C22×2−1+4 | 1 | 1 | yes | characteristic |
| 617 | C2×C17 | C2×#585 | 1 | 1 | yes | characteristic |
| 618 | D17 | — | 4 | 4 | no | — |
| 619 | 2−1+4 | — | 34 | 16 | no | — |
| 620 | C2×#41 | — | 2 | 8 | no | — |
| 621 | C2×#41 | — | 17 | 12 | no | — |
| 622 | C2×#41 | — | 17 | 2 | no | — |
| 623 | C2×#41 | — | 17 | 6 | no | — |
| 624 | C2×#41 | — | 17 | 6 | no | — |
| 625 | C2×#41 | C22×D17 | 1 | 3 | yes | — |
| 626 | C2×#41 | C22×D17 | 1 | 3 | yes | — |
| 627 | C2×#41 | C22×D17 | 1 | 1 | yes | characteristic |
| 628 | C2×#41 | C22×D17 | 1 | 1 | yes | characteristic |
| 629 | C22×Q8 | — | 17 | 4 | no | — |
| 630 | C22×Q8 | — | 17 | 6 | no | — |
| 631 | C22×Q8 | — | 17 | 6 | no | — |
| 632 | C22×Q8 | C22×D17 | 1 | 1 | yes | characteristic |
| 633 | C22×D4 | C22×D17 | 1 | 3 | yes | — |
| 634 | C23×C4 | C22×D17 | 1 | 3 | yes | — |
| 635 | C23×C4 | C22×D17 | 1 | 3 | yes | — |
| 636 | C23×C4 | C22×D17 | 1 | 3 | yes | — |
| 637 | C4⋊Q8 | — | 17 | 12 | no | — |
| 638 | C4⋊Q8 | — | 17 | 12 | no | — |
| 639 | C4⋊Q8 | — | 17 | 3 | no | — |
| 640 | C4⋊Q8 | — | 17 | 3 | no | — |
| 641 | C4⋊Q8 | — | 17 | 6 | no | — |
| 642 | C4⋊Q8 | — | 17 | 6 | no | — |
| 643 | C4⋊Q8 | — | 17 | 6 | no | — |
| 644 | C4⋊Q8 | — | 17 | 6 | no | — |
| 645 | C4⋊Q8 | — | 17 | 6 | no | — |
| 646 | C4⋊Q8 | — | 17 | 6 | no | — |
| 647 | C4⋊Q8 | — | 17 | 1 | no | — |
| 648 | #127 | — | 17 | 1 | no | — |
| 649 | #126 | — | 17 | 24 | no | — |
| 650 | #126 | — | 17 | 24 | no | — |
| 651 | #126 | — | 17 | 24 | no | — |
| 652 | #126 | — | 17 | 12 | no | — |
| 653 | #126 | — | 17 | 12 | no | — |
| 654 | #125 | — | 17 | 24 | no | — |
| 655 | #125 | — | 17 | 12 | no | — |
| 656 | #125 | — | 17 | 24 | no | — |
| 657 | #125 | — | 17 | 6 | no | — |
| 658 | #125 | — | 17 | 12 | no | — |
| 659 | #125 | — | 17 | 12 | no | — |
| 660 | #125 | — | 17 | 12 | no | — |
| 661 | #125 | — | 17 | 6 | no | — |
| 662 | #125 | — | 17 | 6 | no | — |
| 663 | #124 | — | 17 | 12 | no | — |
| 664 | #124 | — | 17 | 24 | no | — |
| 665 | #124 | — | 17 | 2 | no | — |
| 666 | #124 | — | 17 | 6 | no | — |
| 667 | #124 | — | 17 | 6 | no | — |
| 668 | #123 | — | 17 | 24 | no | — |
| 669 | #123 | — | 17 | 12 | no | — |
| 670 | #123 | — | 17 | 12 | no | — |
| 671 | #123 | — | 17 | 12 | no | — |
| 672 | #123 | — | 17 | 24 | no | — |
| 673 | #123 | — | 17 | 24 | no | — |
| 674 | C22⋊Q8 | — | 17 | 12 | no | — |
| 675 | C22⋊Q8 | — | 17 | 6 | no | — |
| 676 | C22⋊Q8 | — | 17 | 6 | no | — |
| 677 | C22⋊Q8 | — | 17 | 12 | no | — |
| 678 | C22⋊Q8 | — | 17 | 12 | no | — |
| 679 | C22⋊Q8 | — | 17 | 12 | no | — |
| 680 | C22⋊Q8 | — | 17 | 12 | no | — |
| 681 | C22⋊Q8 | — | 17 | 12 | no | — |
| 682 | C22⋊Q8 | — | 17 | 12 | no | — |
| 683 | C22⋊Q8 | — | 17 | 6 | no | — |
| 684 | C22⋊Q8 | — | 17 | 6 | no | — |
| 685 | C22⋊Q8 | — | 17 | 6 | no | — |
| 686 | C22⋊Q8 | — | 17 | 6 | no | — |
| 687 | C22⋊Q8 | — | 17 | 12 | no | — |
| 688 | C22⋊Q8 | — | 17 | 12 | no | — |
| 689 | C22⋊Q8 | — | 17 | 24 | no | — |
| 690 | C22⋊Q8 | — | 17 | 24 | no | — |
| 691 | #121 | — | 17 | 24 | no | — |
| 692 | #121 | — | 17 | 12 | no | — |
| 693 | #121 | — | 17 | 2 | no | — |
| 694 | #121 | — | 17 | 2 | no | — |
| 695 | #121 | — | 17 | 6 | no | — |
| 696 | #121 | — | 17 | 6 | no | — |
| 697 | #121 | — | 17 | 6 | no | — |
| 698 | #121 | — | 17 | 6 | no | — |
| 699 | #120 | — | 17 | 12 | no | — |
| 700 | C4×Q8 | — | 17 | 4 | no | — |
| 701 | C4×Q8 | — | 17 | 12 | no | — |
| 702 | C4×Q8 | — | 17 | 12 | no | — |
| 703 | C4×Q8 | — | 17 | 12 | no | — |
| 704 | C4×Q8 | — | 17 | 6 | no | — |
| 705 | C4×Q8 | — | 17 | 6 | no | — |
| 706 | C4×Q8 | — | 17 | 12 | no | — |
| 707 | C4×Q8 | — | 17 | 12 | no | — |
| 708 | C4×Q8 | — | 17 | 12 | no | — |
| 709 | C4×Q8 | — | 17 | 12 | no | — |
| 710 | C4×Q8 | — | 17 | 12 | no | — |
| 711 | C4×Q8 | — | 17 | 6 | no | — |
| 712 | C4×Q8 | — | 17 | 6 | no | — |
| 713 | C4×Q8 | — | 17 | 6 | no | — |
| 714 | C4×Q8 | — | 17 | 6 | no | — |
| 715 | C4×Q8 | C22×D17 | 1 | 1 | yes | characteristic |
| 716 | C4×Q8 | C22×D17 | 1 | 1 | yes | characteristic |
| 717 | C4×Q8 | C22×D17 | 1 | 3 | yes | — |
| 718 | C4×Q8 | C22×D17 | 1 | 3 | yes | — |
| 719 | C4×Q8 | C22×D17 | 1 | 1 | yes | characteristic |
| 720 | C4×Q8 | C22×D17 | 1 | 1 | yes | characteristic |
| 721 | C4×Q8 | C22×D17 | 1 | 3 | yes | — |
| 722 | C4×Q8 | C22×D17 | 1 | 3 | yes | — |
| 723 | C4×D4 | — | 17 | 12 | no | — |
| 724 | C4×D4 | — | 17 | 12 | no | — |
| 725 | C4×D4 | — | 17 | 12 | no | — |
| 726 | C4×D4 | — | 17 | 12 | no | — |
| 727 | C4×D4 | — | 17 | 12 | no | — |
| 728 | C4×D4 | — | 17 | 12 | no | — |
| 729 | C4×D4 | — | 17 | 12 | no | — |
| 730 | C4×D4 | — | 17 | 24 | no | — |
| 731 | C4×D4 | — | 17 | 2 | no | — |
| 732 | C4×D4 | — | 17 | 2 | no | — |
| 733 | C4×D4 | — | 17 | 6 | no | — |
| 734 | C4×D4 | — | 17 | 6 | no | — |
| 735 | C4×D4 | — | 17 | 6 | no | — |
| 736 | C4×D4 | — | 17 | 6 | no | — |
| 737 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 738 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 739 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 740 | C4×D4 | C22×D17 | 1 | 6 | yes | — |
| 741 | C4×D4 | C22×D17 | 1 | 6 | yes | — |
| 742 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 743 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 744 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 745 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 746 | C4×D4 | C22×D17 | 1 | 6 | yes | — |
| 747 | C4×D4 | C22×D17 | 1 | 6 | yes | — |
| 748 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 749 | #117 | — | 17 | 6 | no | — |
| 750 | #117 | — | 17 | 12 | no | — |
| 751 | #117 | — | 17 | 12 | no | — |
| 752 | #117 | — | 17 | 12 | no | — |
| 753 | #117 | — | 17 | 6 | no | — |
| 754 | #117 | — | 17 | 6 | no | — |
| 755 | #117 | — | 17 | 12 | no | — |
| 756 | #117 | — | 17 | 24 | no | — |
| 757 | #117 | — | 17 | 12 | no | — |
| 758 | #117 | — | 17 | 12 | no | — |
| 759 | #117 | — | 17 | 12 | no | — |
| 760 | #117 | C22×D17 | 1 | 3 | yes | — |
| 761 | #117 | C22×D17 | 1 | 3 | yes | — |
| 762 | #117 | C22×D17 | 1 | 6 | yes | — |
| 763 | #117 | C22×D17 | 1 | 3 | yes | — |
| 764 | #117 | C22×D17 | 1 | 6 | yes | — |
| 765 | #117 | C22×D17 | 1 | 3 | yes | — |
| 766 | C2×C4⋊C4 | — | 17 | 6 | no | — |
| 767 | C2×C4⋊C4 | — | 17 | 6 | no | — |
| 768 | C2×C4⋊C4 | — | 17 | 12 | no | — |
| 769 | C2×C4⋊C4 | — | 17 | 6 | no | — |
| 770 | C2×C4⋊C4 | — | 17 | 12 | no | — |
| 771 | C2×C4⋊C4 | — | 17 | 6 | no | — |
| 772 | C2×C4⋊C4 | — | 17 | 12 | no | — |
| 773 | C2×C4⋊C4 | C22×D17 | 1 | 3 | yes | — |
| 774 | C2×C4⋊C4 | C22×D17 | 1 | 3 | yes | — |
| 775 | C2×C22⋊C4 | — | 17 | 12 | no | — |
| 776 | C2×C22⋊C4 | C22×D17 | 1 | 6 | yes | — |
| 777 | C2×C42 | — | 17 | 12 | no | — |
| 778 | C2×C42 | — | 17 | 12 | no | — |
| 779 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 780 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 781 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 782 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 783 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 784 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 785 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 786 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 787 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 788 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 789 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 790 | C2×C42 | C22×D17 | 1 | 1 | yes | characteristic |
| 791 | C17 | #62805 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 792 | C24 | C23×D17 | 1 | 3 | yes | — |
| 793 | #41 | — | 2 | 4 | no | — |
| 794 | #41 | — | 2 | 12 | no | — |
| 795 | #41 | — | 2 | 12 | no | — |
| 796 | #41 | — | 34 | 48 | no | — |
| 797 | #41 | — | 34 | 24 | no | — |
| 798 | #41 | — | 34 | 8 | no | — |
| 799 | #41 | — | 68 | 12 | no | — |
| 800 | #41 | #63252 | 1 | 8 | yes | complemented |
| 801 | C2×Q8 | — | 2 | 4 | no | — |
| 802 | C2×Q8 | — | 17 | 2 | no | — |
| 803 | C2×Q8 | — | 17 | 12 | no | — |
| 804 | C2×Q8 | — | 17 | 6 | no | — |
| 805 | C2×Q8 | — | 17 | 6 | no | — |
| 806 | C2×Q8 | — | 17 | 12 | no | — |
| 807 | C2×Q8 | — | 34 | 16 | no | — |
| 808 | C2×Q8 | — | 34 | 24 | no | — |
| 809 | C2×Q8 | — | 68 | 12 | no | — |
| 810 | C2×Q8 | C23×D17 | 1 | 3 | yes | — |
| 811 | C2×Q8 | C23×D17 | 1 | 1 | yes | characteristic |
| 812 | C2×D4 | — | 2 | 12 | no | — |
| 813 | C2×D4 | — | 17 | 4 | no | — |
| 814 | C2×D4 | — | 17 | 12 | no | — |
| 815 | C2×D4 | — | 17 | 12 | no | — |
| 816 | C2×D4 | — | 17 | 2 | no | — |
| 817 | C2×D4 | — | 17 | 2 | no | — |
| 818 | C2×D4 | — | 17 | 2 | no | — |
| 819 | C2×D4 | C23×D17 | 1 | 6 | yes | — |
| 820 | C2×D4 | C23×D17 | 1 | 3 | yes | — |
| 821 | C2×D4 | C23×D17 | 1 | 3 | yes | — |
| 822 | C22×C4 | — | 2 | 12 | no | — |
| 823 | C22×C4 | — | 2 | 12 | no | — |
| 824 | C22×C4 | — | 4 | 6 | no | — |
| 825 | C22×C4 | — | 17 | 12 | no | — |
| 826 | C22×C4 | — | 17 | 12 | no | — |
| 827 | C22×C4 | — | 17 | 12 | no | — |
| 828 | C22×C4 | — | 17 | 4 | no | — |
| 829 | C22×C4 | — | 17 | 12 | no | — |
| 830 | C22×C4 | C23×D17 | 1 | 1 | yes | characteristic |
| 831 | C22×C4 | C23×D17 | 1 | 1 | yes | characteristic |
| 832 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 833 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 834 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 835 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 836 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 837 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 838 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 839 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 840 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 841 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 842 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 843 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 844 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 845 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 846 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 847 | C22×C4 | C23×D17 | 1 | 1 | yes | characteristic |
| 848 | C4⋊C4 | — | 17 | 6 | no | — |
| 849 | C4⋊C4 | — | 17 | 6 | no | — |
| 850 | C4⋊C4 | — | 17 | 12 | no | — |
| 851 | C4⋊C4 | — | 17 | 6 | no | — |
| 852 | C4⋊C4 | — | 17 | 6 | no | — |
| 853 | C4⋊C4 | — | 17 | 24 | no | — |
| 854 | C4⋊C4 | — | 17 | 12 | no | — |
| 855 | C4⋊C4 | — | 17 | 12 | no | — |
| 856 | C4⋊C4 | — | 17 | 12 | no | — |
| 857 | C4⋊C4 | — | 17 | 12 | no | — |
| 858 | C4⋊C4 | — | 17 | 24 | no | — |
| 859 | C4⋊C4 | — | 17 | 12 | no | — |
| 860 | C4⋊C4 | — | 17 | 2 | no | — |
| 861 | C4⋊C4 | — | 17 | 2 | no | — |
| 862 | C4⋊C4 | — | 17 | 12 | no | — |
| 863 | C4⋊C4 | — | 17 | 12 | no | — |
| 864 | C4⋊C4 | — | 17 | 12 | no | — |
| 865 | C4⋊C4 | — | 17 | 12 | no | — |
| 866 | C4⋊C4 | C23×D17 | 1 | 3 | yes | — |
| 867 | C4⋊C4 | C23×D17 | 1 | 3 | yes | — |
| 868 | C4⋊C4 | C23×D17 | 1 | 6 | yes | — |
| 869 | C4⋊C4 | C23×D17 | 1 | 3 | yes | — |
| 870 | C4⋊C4 | C23×D17 | 1 | 3 | yes | — |
| 871 | C4⋊C4 | C23×D17 | 1 | 6 | yes | — |
| 872 | C22⋊C4 | — | 17 | 12 | no | — |
| 873 | C22⋊C4 | — | 17 | 24 | no | — |
| 874 | C22⋊C4 | — | 17 | 12 | no | — |
| 875 | C22⋊C4 | — | 17 | 12 | no | — |
| 876 | C22⋊C4 | — | 17 | 4 | no | — |
| 877 | C22⋊C4 | — | 17 | 4 | no | — |
| 878 | C22⋊C4 | — | 17 | 12 | no | — |
| 879 | C22⋊C4 | — | 17 | 12 | no | — |
| 880 | C22⋊C4 | — | 17 | 12 | no | — |
| 881 | C22⋊C4 | — | 17 | 12 | no | — |
| 882 | C22⋊C4 | C23×D17 | 1 | 6 | yes | — |
| 883 | C22⋊C4 | C23×D17 | 1 | 6 | yes | — |
| 884 | C22⋊C4 | C23×D17 | 1 | 6 | yes | — |
| 885 | C22⋊C4 | C23×D17 | 1 | 6 | yes | — |
| 886 | C42 | — | 17 | 12 | no | — |
| 887 | C42 | — | 17 | 24 | no | — |
| 888 | C42 | — | 17 | 12 | no | — |
| 889 | C42 | — | 17 | 12 | no | — |
| 890 | C42 | C23×D17 | 1 | 1 | yes | characteristic |
| 891 | C42 | C23×D17 | 1 | 1 | yes | characteristic |
| 892 | C42 | C23×D17 | 1 | 3 | yes | — |
| 893 | C42 | C23×D17 | 1 | 3 | yes | — |
| 894 | C42 | C23×D17 | 1 | 3 | yes | — |
| 895 | C42 | C23×D17 | 1 | 3 | yes | — |
| 896 | C42 | C23×D17 | 1 | 3 | yes | — |
| 897 | C42 | C23×D17 | 1 | 3 | yes | — |
| 898 | C42 | C23×D17 | 1 | 3 | yes | — |
| 899 | C42 | C23×D17 | 1 | 3 | yes | — |
| 900 | C42 | C23×D17 | 1 | 3 | yes | — |
| 901 | C42 | C23×D17 | 1 | 3 | yes | — |
| 902 | C42 | C23×D17 | 1 | 3 | yes | — |
| 903 | C42 | C23×D17 | 1 | 1 | yes | characteristic |
| 904 | C42 | C23×D17 | 1 | 1 | yes | characteristic |
| 905 | C42 | C23×D17 | 1 | 3 | yes | — |
| 906 | C23 | — | 2 | 6 | no | — |
| 907 | C23 | — | 2 | 6 | no | — |
| 908 | C23 | — | 4 | 3 | no | — |
| 909 | C23 | — | 17 | 4 | no | — |
| 910 | C23 | C24×D17 | 1 | 3 | yes | — |
| 911 | C23 | C24×D17 | 1 | 3 | yes | — |
| 912 | C23 | C24×D17 | 1 | 1 | yes | characteristic |
| 913 | Q8 | — | 2 | 6 | no | — |
| 914 | Q8 | — | 34 | 12 | no | — |
| 915 | Q8 | — | 34 | 24 | no | — |
| 916 | Q8 | — | 34 | 4 | no | — |
| 917 | Q8 | — | 34 | 12 | no | — |
| 918 | Q8 | — | 68 | 12 | no | — |
| 919 | Q8 | C2×#63252 | 1 | 4 | yes | — |
| 920 | D4 | — | 2 | 12 | no | — |
| 921 | D4 | — | 2 | 6 | no | — |
| 922 | D4 | — | 34 | 24 | no | — |
| 923 | D4 | — | 34 | 8 | no | — |
| 924 | D4 | — | 34 | 4 | no | — |
| 925 | D4 | — | 34 | 4 | no | — |
| 926 | D4 | — | 34 | 4 | no | — |
| 927 | D4 | — | 68 | 12 | no | — |
| 928 | D4 | C2×#63252 | 1 | 12 | yes | — |
| 929 | C2×C4 | — | 2 | 6 | no | — |
| 930 | C2×C4 | — | 2 | 6 | no | — |
| 931 | C2×C4 | — | 2 | 2 | no | — |
| 932 | C2×C4 | — | 2 | 6 | no | — |
| 933 | C2×C4 | — | 2 | 6 | no | — |
| 934 | C2×C4 | — | 2 | 6 | no | — |
| 935 | C2×C4 | — | 2 | 6 | no | — |
| 936 | C2×C4 | — | 2 | 6 | no | — |
| 937 | C2×C4 | — | 2 | 6 | no | — |
| 938 | C2×C4 | — | 2 | 6 | no | — |
| 939 | C2×C4 | — | 2 | 2 | no | — |
| 940 | C2×C4 | — | 2 | 6 | no | — |
| 941 | C2×C4 | — | 2 | 6 | no | — |
| 942 | C2×C4 | — | 4 | 3 | no | — |
| 943 | C2×C4 | — | 4 | 3 | no | — |
| 944 | C2×C4 | — | 4 | 3 | no | — |
| 945 | C2×C4 | — | 17 | 4 | no | — |
| 946 | C2×C4 | — | 17 | 12 | no | — |
| 947 | C2×C4 | — | 17 | 12 | no | — |
| 948 | C2×C4 | — | 34 | 24 | no | — |
| 949 | C2×C4 | — | 34 | 24 | no | — |
| 950 | C2×C4 | — | 34 | 8 | no | — |
| 951 | C2×C4 | — | 68 | 12 | no | — |
| 952 | C2×C4 | — | 68 | 12 | no | — |
| 953 | C2×C4 | C2×#63252 | 1 | 12 | yes | — |
| 954 | C2×C4 | #10587697 | 1 | 4 | yes | complemented |
| 955 | C2×C4 | C24×D17 | 1 | 3 | yes | — |
| 956 | C2×C4 | C24×D17 | 1 | 3 | yes | — |
| 957 | C2×C4 | C24×D17 | 1 | 1 | yes | characteristic |
| 958 | C2×C4 | C24×D17 | 1 | 1 | yes | characteristic |
| 959 | C2×C4 | C24×D17 | 1 | 3 | yes | — |
| 960 | C2×C4 | C24×D17 | 1 | 3 | yes | — |
| 961 | C2×C4 | C24×D17 | 1 | 3 | yes | — |
| 962 | C2×C4 | C24×D17 | 1 | 3 | yes | — |
| 963 | C2×C4 | C24×D17 | 1 | 1 | yes | characteristic |
| 964 | C2×C4 | C24×D17 | 1 | 1 | yes | characteristic |
| 965 | C2×C4 | C24×D17 | 1 | 1 | yes | characteristic |
| 966 | C2×C4 | C24×D17 | 1 | 1 | yes | characteristic |
| 967 | C22 | — | 2 | 1 | no | — |
| 968 | C22 | — | 2 | 3 | no | — |
| 969 | C22 | — | 2 | 1 | no | — |
| 970 | C22 | — | 2 | 3 | no | — |
| 971 | C22 | — | 2 | 3 | no | — |
| 972 | C22 | — | 2 | 3 | no | — |
| 973 | C22 | — | 2 | 3 | no | — |
| 974 | C22 | — | 4 | 12 | no | — |
| 975 | C22 | — | 34 | 4 | no | — |
| 976 | C22 | — | 34 | 4 | no | — |
| 977 | C22 | — | 34 | 4 | no | — |
| 978 | C22 | C22×#63252 | 1 | 6 | yes | — |
| 979 | C22 | C2×#10587697 | 1 | 2 | yes | — |
| 980 | C22 | C25×D17 | 1 | 1 | yes | characteristic |
| 981 | C4 | — | 2 | 1 | no | — |
| 982 | C4 | — | 2 | 3 | no | — |
| 983 | C4 | — | 2 | 3 | no | — |
| 984 | C4 | — | 2 | 3 | no | — |
| 985 | C4 | — | 2 | 1 | no | — |
| 986 | C4 | — | 2 | 3 | no | — |
| 987 | C4 | — | 2 | 3 | no | — |
| 988 | C4 | — | 34 | 12 | no | — |
| 989 | C4 | — | 34 | 4 | no | — |
| 990 | C4 | — | 34 | 12 | no | — |
| 991 | C4 | C22×#63252 | 1 | 2 | yes | — |
| 992 | C4 | C22×#63252 | 1 | 6 | yes | — |
| 993 | C4 | C2×#10587697 | 1 | 2 | yes | — |
| 994 | C4 | C2×#10587697 | 1 | 2 | yes | — |
| 995 | C4 | #11763645 | 1 | 2 | yes | — |
| 996 | C2 | — | 2 | 2 | no | — |
| 997 | C2 | — | 2 | 6 | no | — |
| 998 | C2 | — | 4 | 3 | no | — |
| 999 | C2 | — | 68 | 4 | no | — |
| 1000 | C2 | C23×#63252 | 1 | 1 | yes | characteristic |
| 1001 | C2 | C22×#10587697 | 1 | 1 | yes | characteristic |
| 1002 | C2 | C2×#11763645 | 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