← #17026368
Subgroups — #17026368
Order 4352.
590 conjugacy classes of subgroups.
The subgroup lattice has 380 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | Q16×Dic34 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14541594 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #14528373 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #14528322 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #14528188 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #14528141 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #14527905 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #14527861 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #14527681 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C8×#63231 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C17×#3396 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | Q8×Dic34 | C22 | 1 | 2 | yes | — |
| 13 | #11763214 | C22 | 1 | 1 | yes | characteristic |
| 14 | #11763213 | — | 2 | 1 | no | — |
| 15 | #11763181 | C22 | 1 | 2 | yes | — |
| 16 | #11763168 | — | 2 | 2 | no | — |
| 17 | #11763155 | C22 | 1 | 2 | yes | — |
| 18 | #11763104 | C22 | 1 | 2 | yes | — |
| 19 | #11763104 | C22 | 1 | 2 | yes | — |
| 20 | #11763102 | — | 2 | 2 | no | — |
| 21 | #11763089 | — | 2 | 2 | no | — |
| 22 | #11763028 | — | 2 | 2 | no | — |
| 23 | #11763006 | C22 | 1 | 2 | yes | — |
| 24 | #11762940 | C22 | 1 | 2 | yes | — |
| 25 | C8×Dic34 | C22 | 1 | 1 | yes | characteristic |
| 26 | #11762909 | — | 2 | 2 | no | — |
| 27 | Q16×Dic17 | — | 2 | 1 | no | — |
| 28 | C4×#63231 | C22 | 1 | 1 | yes | characteristic |
| 29 | #11762562 | C22 | 1 | 1 | yes | characteristic |
| 30 | #11762561 | C22 | 1 | 1 | yes | characteristic |
| 31 | #11762557 | C22 | 1 | 2 | yes | — |
| 32 | #11762553 | C22 | 1 | 2 | yes | — |
| 33 | Q8⋊#3622 | C22 | 1 | 1 | yes | characteristic |
| 34 | Q8⋊#3622 | C22 | 1 | 2 | yes | — |
| 35 | #11762539 | C22 | 1 | 1 | yes | characteristic |
| 36 | C8×#3622 | C22 | 1 | 1 | yes | characteristic |
| 37 | C17×#559 | C22 | 1 | 2 | yes | — |
| 38 | C17×#495 | — | 2 | 1 | no | — |
| 39 | C17×#493 | C22 | 1 | 1 | yes | characteristic |
| 40 | C17×#463 | — | 2 | 2 | no | — |
| 41 | C17×#460 | C22 | 1 | 2 | yes | — |
| 42 | C8×Q8×C17 | C22 | 1 | 1 | yes | characteristic |
| 43 | C4×Q16×C17 | C22 | 1 | 1 | yes | characteristic |
| 44 | C4×D8×C17 | — | 2 | 1 | no | — |
| 45 | C2×Q16×C17 | D4 | 1 | 1 | yes | characteristic |
| 46 | C2×SD16×C17 | — | 2 | 2 | no | — |
| 47 | C2×D8×C17 | — | 2 | 1 | no | — |
| 48 | C2×D8×C17 | — | 2 | 1 | no | — |
| 49 | C17×#127 | C23 | 1 | 2 | yes | — |
| 50 | C17×#124 | — | 2 | 2 | no | — |
| 51 | C17×#124 | — | 2 | 2 | no | — |
| 52 | C17×#123 | — | 4 | 2 | no | — |
| 53 | C4×Q8×C17 | C23 | 1 | 1 | yes | characteristic |
| 54 | C4×Q8×C17 | C23 | 1 | 2 | yes | — |
| 55 | C4×D4×C17 | — | 2 | 2 | no | — |
| 56 | C4×D4×C17 | — | 2 | 2 | no | — |
| 57 | Q8×Dic17 | — | 2 | 2 | no | — |
| 58 | C2×#63231 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×#63229 | — | 2 | 2 | no | — |
| 60 | C2×#63229 | — | 4 | 2 | no | — |
| 61 | #10587574 | — | 2 | 2 | no | — |
| 62 | #10587574 | — | 4 | 2 | no | — |
| 63 | #10587555 | — | 2 | 2 | no | — |
| 64 | #10587555 | C23 | 1 | 2 | yes | — |
| 65 | C4×Dic34 | — | 2 | 2 | no | — |
| 66 | C4×Dic34 | C23 | 1 | 1 | yes | characteristic |
| 67 | C17×#107 | D4 | 1 | 1 | yes | characteristic |
| 68 | C17×C4⋊C8 | — | 2 | 1 | no | — |
| 69 | C17×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 70 | C17×#103 | D4 | 1 | 2 | yes | — |
| 71 | C17×#102 | — | 2 | 2 | no | — |
| 72 | C4×C8×C17 | — | 2 | 1 | no | — |
| 73 | C4×C8×C17 | C23 | 1 | 1 | yes | characteristic |
| 74 | #10587506 | — | 2 | 2 | no | — |
| 75 | #10587506 | — | 2 | 2 | no | — |
| 76 | #10587506 | D4 | 1 | 1 | yes | characteristic |
| 77 | #10587503 | — | 2 | 2 | no | — |
| 78 | #10587503 | — | 2 | 2 | no | — |
| 79 | #10587503 | — | 2 | 2 | no | — |
| 80 | #10587489 | — | 2 | 1 | no | — |
| 81 | #10587489 | — | 2 | 1 | no | — |
| 82 | #10587485 | — | 2 | 1 | no | — |
| 83 | C8×Dic17 | — | 2 | 1 | no | — |
| 84 | #10587481 | D4 | 1 | 1 | yes | characteristic |
| 85 | #10587478 | — | 2 | 2 | no | — |
| 86 | #10587478 | — | 2 | 2 | no | — |
| 87 | #10587478 | D4 | 1 | 1 | yes | characteristic |
| 88 | C4⋊#3622 | — | 2 | 2 | no | — |
| 89 | C4⋊#3622 | C23 | 1 | 2 | yes | — |
| 90 | C4⋊#3622 | C23 | 1 | 1 | yes | characteristic |
| 91 | #10587474 | — | 2 | 2 | no | — |
| 92 | C4×#3622 | C23 | 1 | 1 | yes | characteristic |
| 93 | C4×#3622 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×Q8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | C2×Q8×C17 | C2×D4 | 1 | 2 | yes | — |
| 96 | C2×D4×C17 | — | 2 | 2 | no | — |
| 97 | C2×D4×C17 | — | 2 | 2 | no | — |
| 98 | C2×D4×C17 | — | 2 | 2 | no | — |
| 99 | C22×C4×C17 | — | 4 | 2 | no | — |
| 100 | C2×Dic34 | — | 2 | 2 | no | — |
| 101 | C2×Dic34 | — | 4 | 2 | no | — |
| 102 | C2×Dic34 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | Q16×C17 | — | 2 | 2 | no | — |
| 104 | SD16×C17 | — | 8 | 2 | no | — |
| 105 | D8×C17 | — | 4 | 2 | no | — |
| 106 | D8×C17 | — | 8 | 1 | no | — |
| 107 | C2×C8×C17 | — | 2 | 1 | no | — |
| 108 | C2×C8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C2×C8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 111 | C4⋊C4×C17 | — | 2 | 2 | no | — |
| 112 | C4⋊C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C4⋊C4×C17 | C2×D4 | 1 | 2 | yes | — |
| 114 | C22⋊C4×C17 | — | 4 | 2 | no | — |
| 115 | C22⋊C4×C17 | — | 4 | 2 | no | — |
| 116 | C22⋊C4×C17 | — | 4 | 2 | no | — |
| 117 | C42×C17 | — | 2 | 1 | no | — |
| 118 | C42×C17 | — | 2 | 2 | no | — |
| 119 | C42×C17 | C24 | 1 | 1 | yes | characteristic |
| 120 | #63231 | — | 2 | 2 | no | — |
| 121 | #63229 | — | 4 | 4 | no | — |
| 122 | #63229 | — | 8 | 4 | no | — |
| 123 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 124 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 125 | C4⋊Dic17 | — | 4 | 2 | no | — |
| 126 | C4⋊Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | #63225 | — | 2 | 1 | no | — |
| 128 | #63225 | — | 4 | 2 | no | — |
| 129 | C4×Dic17 | — | 2 | 1 | no | — |
| 130 | C4×Dic17 | — | 4 | 2 | no | — |
| 131 | C2×#3622 | — | 2 | 1 | no | — |
| 132 | C2×#3622 | — | 2 | 2 | no | — |
| 133 | C2×#3622 | — | 2 | 1 | no | — |
| 134 | C2×#3622 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C2×#3622 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | #19942 | — | 17 | 1 | no | maximal, Sylow |
| 137 | C23×C17 | — | 4 | 2 | no | — |
| 138 | Q8×C17 | — | 2 | 1 | no | — |
| 139 | Q8×C17 | — | 2 | 2 | no | — |
| 140 | Q8×C17 | — | 2 | 2 | no | — |
| 141 | Q8×C17 | — | 2 | 1 | no | — |
| 142 | D4×C17 | — | 4 | 2 | no | — |
| 143 | D4×C17 | — | 4 | 2 | no | — |
| 144 | D4×C17 | — | 4 | 2 | no | — |
| 145 | D4×C17 | — | 4 | 2 | no | — |
| 146 | D4×C17 | — | 8 | 2 | no | — |
| 147 | C2×C4×C17 | — | 2 | 1 | no | — |
| 148 | C2×C4×C17 | — | 2 | 1 | no | — |
| 149 | C2×C4×C17 | — | 2 | 2 | no | — |
| 150 | C2×C4×C17 | — | 2 | 2 | no | — |
| 151 | C2×C4×C17 | — | 16 | 2 | no | — |
| 152 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×C17 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 155 | C2×Dic17 | — | 2 | 1 | no | — |
| 156 | C2×Dic17 | — | 2 | 1 | no | — |
| 157 | C2×Dic17 | — | 4 | 2 | no | — |
| 158 | Dic34 | — | 2 | 1 | no | — |
| 159 | Dic34 | — | 8 | 2 | no | — |
| 160 | Dic34 | — | 16 | 2 | no | — |
| 161 | Dic34 | #135 | 1 | 2 | yes | — |
| 162 | C8×C17 | — | 2 | 1 | no | — |
| 163 | C8×C17 | — | 4 | 1 | no | — |
| 164 | C8×C17 | #137 | 1 | 2 | yes | — |
| 165 | #3622 | — | 2 | 2 | no | — |
| 166 | #3622 | — | 2 | 1 | no | — |
| 167 | #3622 | — | 2 | 1 | no | — |
| 168 | #3622 | — | 4 | 2 | no | — |
| 169 | #3622 | — | 4 | 1 | no | — |
| 170 | #3396 | D17 | 1 | 1 | yes | characteristic |
| 171 | Q8×Q16 | — | 17 | 1 | no | — |
| 172 | #3375 | — | 17 | 2 | no | — |
| 173 | #1706 | — | 17 | 1 | no | — |
| 174 | #1698 | — | 17 | 2 | no | — |
| 175 | #1676 | — | 17 | 1 | no | — |
| 176 | #1668 | — | 17 | 1 | no | — |
| 177 | #1630 | — | 17 | 2 | no | — |
| 178 | #1623 | — | 17 | 2 | no | — |
| 179 | #1591 | — | 17 | 1 | no | — |
| 180 | C8×Q16 | — | 17 | 1 | no | — |
| 181 | C22×C17 | — | 8 | 2 | no | — |
| 182 | C22×C17 | — | 8 | 2 | no | — |
| 183 | C22×C17 | — | 8 | 2 | no | — |
| 184 | C22×C17 | D42 | 1 | 1 | yes | characteristic |
| 185 | C4×C17 | — | 2 | 1 | no | — |
| 186 | C4×C17 | — | 4 | 2 | no | — |
| 187 | C4×C17 | — | 4 | 1 | no | — |
| 188 | C4×C17 | — | 4 | 2 | no | — |
| 189 | C4×C17 | — | 4 | 1 | no | — |
| 190 | C4×C17 | C2×#135 | 1 | 1 | yes | characteristic |
| 191 | C4×C17 | C2×#137 | 1 | 1 | yes | characteristic |
| 192 | C4×C17 | #577 | 1 | 1 | yes | characteristic |
| 193 | C4×C17 | #578 | 1 | 1 | yes | characteristic |
| 194 | Dic17 | — | 2 | 2 | no | — |
| 195 | Dic17 | — | 4 | 1 | no | — |
| 196 | Dic17 | — | 8 | 2 | no | — |
| 197 | #559 | C2×D17 | 1 | 2 | yes | — |
| 198 | Q82 | — | 17 | 2 | no | — |
| 199 | #500 | — | 17 | 1 | no | — |
| 200 | #500 | — | 34 | 1 | no | — |
| 201 | #495 | — | 2 | 1 | no | — |
| 202 | #493 | C2×D17 | 1 | 1 | yes | characteristic |
| 203 | #492 | — | 17 | 2 | no | — |
| 204 | #489 | — | 34 | 2 | no | — |
| 205 | #486 | — | 17 | 2 | no | — |
| 206 | #477 | — | 17 | 2 | no | — |
| 207 | #477 | — | 17 | 2 | no | — |
| 208 | #477 | — | 34 | 2 | no | — |
| 209 | #474 | — | 34 | 2 | no | — |
| 210 | #464 | — | 34 | 2 | no | — |
| 211 | #463 | — | 2 | 2 | no | — |
| 212 | #460 | — | 17 | 2 | no | — |
| 213 | #460 | C2×D17 | 1 | 2 | yes | — |
| 214 | #446 | — | 17 | 2 | no | — |
| 215 | C8×Q8 | — | 17 | 1 | no | — |
| 216 | C8×Q8 | C2×D17 | 1 | 1 | yes | characteristic |
| 217 | #440 | — | 34 | 2 | no | — |
| 218 | C4×Q16 | — | 17 | 1 | no | — |
| 219 | C4×Q16 | — | 34 | 1 | no | — |
| 220 | C4×Q16 | C2×D17 | 1 | 1 | yes | characteristic |
| 221 | C4×D8 | — | 2 | 1 | no | — |
| 222 | #335 | — | 17 | 1 | no | — |
| 223 | #335 | — | 17 | 1 | no | — |
| 224 | #333 | — | 17 | 2 | no | — |
| 225 | #331 | — | 17 | 2 | no | — |
| 226 | Q8⋊C8 | — | 17 | 1 | no | — |
| 227 | Q8⋊C8 | — | 17 | 2 | no | — |
| 228 | Q8⋊C8 | — | 17 | 1 | no | — |
| 229 | C82 | — | 17 | 1 | no | — |
| 230 | C2×C17 | — | 16 | 2 | no | — |
| 231 | C2×C17 | #3278 | 1 | 1 | yes | characteristic |
| 232 | C2×C17 | #3285 | 1 | 1 | yes | characteristic |
| 233 | C2×C17 | #3292 | 1 | 1 | yes | characteristic |
| 234 | C2×Q16 | — | 17 | 1 | no | — |
| 235 | C2×Q16 | C22⋊D17 | 1 | 1 | yes | characteristic |
| 236 | C2×SD16 | — | 2 | 2 | no | — |
| 237 | C2×SD16 | — | 34 | 2 | no | — |
| 238 | C2×SD16 | — | 68 | 2 | no | — |
| 239 | C2×D8 | — | 2 | 1 | no | — |
| 240 | C2×D8 | — | 2 | 1 | no | — |
| 241 | C4⋊Q8 | — | 17 | 2 | no | — |
| 242 | C4⋊Q8 | — | 34 | 2 | no | — |
| 243 | C4⋊Q8 | — | 34 | 2 | no | — |
| 244 | C4⋊Q8 | — | 68 | 2 | no | — |
| 245 | #127 | C22×D17 | 1 | 2 | yes | — |
| 246 | #124 | — | 2 | 2 | no | — |
| 247 | #124 | — | 2 | 2 | no | — |
| 248 | #123 | — | 4 | 2 | no | — |
| 249 | C4×Q8 | — | 17 | 1 | no | — |
| 250 | C4×Q8 | — | 34 | 2 | no | — |
| 251 | C4×Q8 | — | 34 | 2 | no | — |
| 252 | C4×Q8 | C22×D17 | 1 | 1 | yes | characteristic |
| 253 | C4×Q8 | C22×D17 | 1 | 2 | yes | — |
| 254 | C4×D4 | — | 2 | 2 | no | — |
| 255 | C4×D4 | — | 2 | 2 | no | — |
| 256 | #107 | — | 17 | 1 | no | — |
| 257 | #107 | — | 34 | 1 | no | — |
| 258 | #107 | — | 34 | 1 | no | — |
| 259 | #107 | — | 34 | 2 | no | — |
| 260 | #107 | — | 34 | 2 | no | — |
| 261 | #107 | C22⋊D17 | 1 | 1 | yes | characteristic |
| 262 | C4⋊C8 | — | 2 | 1 | no | — |
| 263 | C4⋊C8 | — | 17 | 1 | no | — |
| 264 | C4⋊C8 | — | 17 | 2 | no | — |
| 265 | C4⋊C8 | — | 34 | 2 | no | — |
| 266 | C4⋊C8 | — | 34 | 1 | no | — |
| 267 | C4⋊C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 268 | #103 | — | 17 | 1 | no | — |
| 269 | #103 | — | 17 | 1 | no | — |
| 270 | #103 | — | 34 | 2 | no | — |
| 271 | #103 | — | 34 | 2 | no | — |
| 272 | #103 | C22⋊D17 | 1 | 2 | yes | — |
| 273 | #102 | — | 2 | 2 | no | — |
| 274 | #102 | — | 34 | 2 | no | — |
| 275 | #102 | — | 34 | 2 | no | — |
| 276 | #102 | — | 34 | 2 | no | — |
| 277 | #97 | — | 34 | 2 | no | — |
| 278 | C4×C8 | — | 2 | 1 | no | — |
| 279 | C4×C8 | — | 17 | 1 | no | — |
| 280 | C4×C8 | — | 17 | 1 | no | — |
| 281 | C4×C8 | — | 34 | 1 | no | — |
| 282 | C4×C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 283 | C17 | #19942 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 284 | C2×Q8 | — | 17 | 1 | no | — |
| 285 | C2×Q8 | — | 34 | 2 | no | — |
| 286 | C2×Q8 | — | 68 | 2 | no | — |
| 287 | C2×Q8 | D4×D17 | 1 | 1 | yes | characteristic |
| 288 | C2×Q8 | C2×C22⋊D17 | 1 | 2 | yes | — |
| 289 | C2×D4 | — | 2 | 2 | no | — |
| 290 | C2×D4 | — | 2 | 2 | no | — |
| 291 | C2×D4 | — | 2 | 2 | no | — |
| 292 | C22×C4 | — | 4 | 2 | no | — |
| 293 | Q16 | — | 2 | 2 | no | — |
| 294 | Q16 | — | 34 | 2 | no | — |
| 295 | SD16 | — | 8 | 2 | no | — |
| 296 | SD16 | — | 68 | 4 | no | — |
| 297 | SD16 | — | 136 | 4 | no | — |
| 298 | D8 | — | 4 | 2 | no | — |
| 299 | D8 | — | 8 | 1 | no | — |
| 300 | C2×C8 | — | 2 | 1 | no | — |
| 301 | C2×C8 | — | 17 | 1 | no | — |
| 302 | C2×C8 | — | 17 | 1 | no | — |
| 303 | C2×C8 | — | 34 | 1 | no | — |
| 304 | C2×C8 | — | 34 | 2 | no | — |
| 305 | C2×C8 | — | 34 | 1 | no | — |
| 306 | C2×C8 | C2×C22⋊D17 | 1 | 1 | yes | characteristic |
| 307 | C2×C8 | C2×C22⋊D17 | 1 | 1 | yes | characteristic |
| 308 | C4⋊C4 | — | 2 | 1 | no | — |
| 309 | C4⋊C4 | — | 2 | 2 | no | — |
| 310 | C4⋊C4 | — | 17 | 1 | no | — |
| 311 | C4⋊C4 | — | 34 | 1 | no | — |
| 312 | C4⋊C4 | — | 34 | 2 | no | — |
| 313 | C4⋊C4 | — | 34 | 2 | no | — |
| 314 | C4⋊C4 | — | 68 | 2 | no | — |
| 315 | C4⋊C4 | — | 68 | 2 | no | — |
| 316 | C4⋊C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 317 | C4⋊C4 | C2×C22⋊D17 | 1 | 2 | yes | — |
| 318 | C22⋊C4 | — | 4 | 2 | no | — |
| 319 | C22⋊C4 | — | 4 | 2 | no | — |
| 320 | C22⋊C4 | — | 4 | 2 | no | — |
| 321 | C42 | — | 2 | 2 | no | — |
| 322 | C42 | — | 2 | 1 | no | — |
| 323 | C42 | — | 34 | 1 | no | — |
| 324 | C42 | — | 68 | 2 | no | — |
| 325 | C42 | C23×D17 | 1 | 1 | yes | characteristic |
| 326 | C23 | — | 4 | 2 | no | — |
| 327 | Q8 | — | 2 | 1 | no | — |
| 328 | Q8 | — | 2 | 2 | no | — |
| 329 | Q8 | — | 2 | 2 | no | — |
| 330 | Q8 | — | 2 | 1 | no | — |
| 331 | Q8 | — | 272 | 2 | no | — |
| 332 | Q8 | — | 17 | 2 | no | — |
| 333 | Q8 | — | 34 | 1 | no | — |
| 334 | Q8 | — | 136 | 2 | no | — |
| 335 | D4 | — | 4 | 2 | no | — |
| 336 | D4 | — | 4 | 2 | no | — |
| 337 | D4 | — | 4 | 2 | no | — |
| 338 | D4 | — | 4 | 2 | no | — |
| 339 | D4 | — | 8 | 2 | no | — |
| 340 | C2×C4 | — | 2 | 2 | no | — |
| 341 | C2×C4 | — | 2 | 1 | no | — |
| 342 | C2×C4 | — | 2 | 1 | no | — |
| 343 | C2×C4 | — | 2 | 2 | no | — |
| 344 | C2×C4 | — | 16 | 2 | no | — |
| 345 | C2×C4 | — | 34 | 1 | no | — |
| 346 | C2×C4 | — | 34 | 1 | no | — |
| 347 | C2×C4 | — | 68 | 2 | no | — |
| 348 | C2×C4 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 349 | C2×C4 | #10587691 | 1 | 1 | yes | characteristic |
| 350 | C2×C4 | C22×C22⋊D17 | 1 | 1 | yes | characteristic |
| 351 | C8 | — | 2 | 1 | no | — |
| 352 | C8 | — | 4 | 1 | no | — |
| 353 | C8 | — | 34 | 2 | no | — |
| 354 | C8 | — | 34 | 1 | no | — |
| 355 | C8 | — | 34 | 1 | no | — |
| 356 | C8 | — | 68 | 2 | no | — |
| 357 | C8 | — | 68 | 1 | no | — |
| 358 | C8 | #10587637 | 1 | 2 | yes | — |
| 359 | C22 | — | 8 | 2 | no | — |
| 360 | C22 | — | 8 | 2 | no | — |
| 361 | C22 | — | 8 | 2 | no | — |
| 362 | C22 | D4×C22⋊D17 | 1 | 1 | yes | characteristic |
| 363 | C4 | — | 2 | 1 | no | — |
| 364 | C4 | — | 4 | 1 | no | — |
| 365 | C4 | — | 4 | 2 | no | — |
| 366 | C4 | — | 4 | 2 | no | — |
| 367 | C4 | — | 4 | 1 | no | — |
| 368 | C4 | — | 34 | 2 | no | — |
| 369 | C4 | — | 68 | 1 | no | — |
| 370 | C4 | — | 136 | 2 | no | — |
| 371 | C4 | #135×D17 | 1 | 1 | yes | characteristic |
| 372 | C4 | C2×#10587637 | 1 | 1 | yes | characteristic |
| 373 | C4 | #11763620 | 1 | 1 | yes | characteristic |
| 374 | C4 | #11763623 | 1 | 1 | yes | characteristic |
| 375 | C2 | — | 16 | 2 | no | — |
| 376 | C2 | #14540450 | 1 | 1 | yes | characteristic |
| 377 | C2 | #14540519 | 1 | 1 | yes | characteristic |
| 378 | C2 | #14540581 | 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