← #17188993
Subgroups — #17188993
Order 4352.
574 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#11763213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #135×Dic17 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #14530934 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #14530929 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #14530924 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #14530919 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #14530572 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #14530570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #14530539 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #14530496 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | C17×#2139 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | C2×#10587574 | — | 2 | 1 | no | — |
| 13 | #41×Dic17 | — | 2 | 1 | no | — |
| 14 | C2×#10587483 | C22 | 1 | 1 | yes | characteristic |
| 15 | #11763213 | — | 2 | 1 | no | — |
| 16 | #11763213 | — | 2 | 1 | no | — |
| 17 | #11763213 | C22 | 1 | 2 | yes | — |
| 18 | #11763213 | C22 | 1 | 2 | yes | — |
| 19 | Q16×Dic17 | C22 | 1 | 1 | yes | characteristic |
| 20 | Q16×Dic17 | C22 | 1 | 1 | yes | characteristic |
| 21 | SD16×Dic17 | — | 2 | 1 | no | — |
| 22 | SD16×Dic17 | — | 2 | 1 | no | — |
| 23 | D8×Dic17 | C22 | 1 | 1 | yes | characteristic |
| 24 | D8×Dic17 | C22 | 1 | 1 | yes | characteristic |
| 25 | #11762847 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#10587489 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#10587478 | — | 2 | 1 | no | — |
| 28 | #11762805 | — | 2 | 1 | no | — |
| 29 | C2×C8×Dic17 | C22 | 1 | 1 | yes | characteristic |
| 30 | #11762637 | C22 | 1 | 2 | yes | — |
| 31 | #11762636 | C22 | 1 | 2 | yes | — |
| 32 | #11762635 | C22 | 1 | 2 | yes | — |
| 33 | #11762634 | C22 | 1 | 2 | yes | — |
| 34 | #11762627 | C22 | 1 | 2 | yes | — |
| 35 | #11762627 | C22 | 1 | 2 | yes | — |
| 36 | #11762613 | C22 | 1 | 2 | yes | — |
| 37 | #11762610 | C22 | 1 | 2 | yes | — |
| 38 | C2×C17×#135 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×C17×M32 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×C17×#107 | C22 | 1 | 1 | yes | characteristic |
| 41 | C17×#358 | C22 | 1 | 2 | yes | — |
| 42 | C17×#357 | C22 | 1 | 2 | yes | — |
| 43 | C2×#41×C17 | — | 2 | 1 | no | — |
| 44 | C22×Dic34 | — | 4 | 1 | no | — |
| 45 | C17×#135 | — | 2 | 2 | no | — |
| 46 | C17×#135 | Q8 | 1 | 4 | yes | complemented |
| 47 | C2×Q16×C17 | C23 | 1 | 1 | yes | characteristic |
| 48 | C2×SD16×C17 | — | 2 | 1 | no | — |
| 49 | C2×D8×C17 | C23 | 1 | 1 | yes | characteristic |
| 50 | C22×C8×C17 | C23 | 1 | 1 | yes | characteristic |
| 51 | C2×C4⋊C4×C17 | — | 2 | 1 | no | — |
| 52 | Q8×Dic17 | — | 2 | 1 | no | — |
| 53 | Q8×Dic17 | — | 2 | 1 | no | — |
| 54 | D4×Dic17 | — | 2 | 1 | no | — |
| 55 | D4×Dic17 | — | 2 | 1 | no | — |
| 56 | D4×Dic17 | — | 4 | 1 | no | — |
| 57 | D4×Dic17 | — | 4 | 1 | no | — |
| 58 | #10587612 | — | 2 | 1 | no | — |
| 59 | #10587612 | — | 4 | 1 | no | — |
| 60 | C2×C4⋊Dic17 | — | 2 | 1 | no | — |
| 61 | C2×#63225 | — | 4 | 1 | no | — |
| 62 | C2×C4×Dic17 | — | 4 | 1 | no | — |
| 63 | C2×C4×Dic17 | D4 | 1 | 1 | yes | characteristic |
| 64 | C22×#3622 | D4 | 1 | 1 | yes | characteristic |
| 65 | #10587574 | — | 2 | 2 | no | — |
| 66 | #10587574 | — | 2 | 2 | no | — |
| 67 | #10587574 | — | 4 | 1 | no | — |
| 68 | #10587574 | — | 4 | 1 | no | — |
| 69 | C17×M32 | — | 2 | 2 | no | — |
| 70 | C2×C16×C17 | C23 | 1 | 2 | yes | — |
| 71 | C17×#107 | — | 2 | 1 | no | — |
| 72 | C17×#107 | C23 | 1 | 2 | yes | — |
| 73 | #10587506 | — | 2 | 1 | no | — |
| 74 | #10587506 | — | 2 | 1 | no | — |
| 75 | #10587503 | — | 2 | 1 | no | — |
| 76 | #10587503 | — | 2 | 1 | no | — |
| 77 | #10587489 | — | 2 | 1 | no | — |
| 78 | #10587489 | C23 | 1 | 2 | yes | — |
| 79 | #10587489 | C23 | 1 | 1 | yes | characteristic |
| 80 | #10587489 | C23 | 1 | 1 | yes | characteristic |
| 81 | #10587488 | — | 2 | 1 | no | — |
| 82 | C8×Dic17 | D4 | 1 | 1 | yes | characteristic |
| 83 | C8×Dic17 | D4 | 1 | 1 | yes | characteristic |
| 84 | C8×Dic17 | C23 | 1 | 1 | yes | characteristic |
| 85 | C8×Dic17 | C23 | 1 | 1 | yes | characteristic |
| 86 | #10587483 | — | 2 | 2 | no | — |
| 87 | C2×#63214 | C23 | 1 | 2 | yes | — |
| 88 | #10587478 | — | 2 | 2 | no | — |
| 89 | #10587478 | — | 2 | 2 | no | — |
| 90 | #41×C17 | — | 2 | 4 | no | — |
| 91 | #41×C17 | — | 4 | 2 | no | — |
| 92 | C2×Q8×C17 | — | 2 | 1 | no | — |
| 93 | C2×D4×C17 | — | 2 | 1 | no | — |
| 94 | C2×D4×C17 | — | 4 | 1 | no | — |
| 95 | C22×C4×C17 | — | 4 | 1 | no | — |
| 96 | C22×C4×C17 | — | 4 | 1 | no | — |
| 97 | C22×C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C22×Dic17 | — | 4 | 1 | no | — |
| 99 | C22×Dic17 | — | 4 | 1 | no | — |
| 100 | C22×Dic17 | — | 4 | 1 | no | — |
| 101 | C22×Dic17 | D8 | 1 | 1 | yes | characteristic |
| 102 | C22×Dic17 | D8 | 1 | 1 | yes | characteristic |
| 103 | C2×Dic34 | — | 4 | 2 | no | — |
| 104 | C2×Dic34 | — | 4 | 2 | no | — |
| 105 | C2×Dic34 | — | 8 | 4 | no | — |
| 106 | Q16×C17 | — | 2 | 1 | no | — |
| 107 | Q16×C17 | C2×Q8 | 1 | 2 | yes | complemented |
| 108 | SD16×C17 | — | 2 | 4 | no | — |
| 109 | D8×C17 | — | 2 | 1 | no | — |
| 110 | D8×C17 | C2×Q8 | 1 | 2 | yes | complemented |
| 111 | C2×C8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C8×C17 | C2×Q8 | 1 | 2 | yes | — |
| 113 | C2×C8×C17 | #41 | 1 | 2 | yes | — |
| 114 | C2×C8×C17 | C24 | 1 | 1 | yes | characteristic |
| 115 | C4⋊C4×C17 | — | 2 | 2 | no | — |
| 116 | C4⋊C4×C17 | — | 4 | 1 | no | — |
| 117 | C22⋊Dic17 | — | 4 | 1 | no | — |
| 118 | C22⋊Dic17 | — | 4 | 1 | no | — |
| 119 | C22⋊Dic17 | — | 4 | 1 | no | — |
| 120 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 121 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 122 | C4⋊Dic17 | — | 2 | 1 | no | — |
| 123 | C4⋊Dic17 | — | 4 | 1 | no | — |
| 124 | C4⋊Dic17 | — | 4 | 1 | no | — |
| 125 | C4⋊Dic17 | — | 4 | 1 | no | — |
| 126 | #63225 | — | 4 | 2 | no | — |
| 127 | #63225 | — | 4 | 2 | no | — |
| 128 | C4×Dic17 | — | 4 | 1 | no | — |
| 129 | C4×Dic17 | — | 4 | 1 | no | — |
| 130 | C4×Dic17 | — | 4 | 1 | no | — |
| 131 | C4×Dic17 | D8 | 1 | 1 | yes | characteristic |
| 132 | C4×Dic17 | D8 | 1 | 1 | yes | characteristic |
| 133 | C4×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | C4×Dic17 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C2×#3622 | — | 2 | 2 | no | — |
| 136 | C2×#3622 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C2×#3622 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C16×C17 | — | 2 | 2 | no | — |
| 139 | #63214 | — | 2 | 2 | no | — |
| 140 | #33629 | — | 17 | 1 | no | maximal, Sylow |
| 141 | C23×C17 | — | 4 | 1 | no | — |
| 142 | C23×C17 | C2×D8 | 1 | 1 | yes | characteristic |
| 143 | Q8×C17 | — | 2 | 2 | no | — |
| 144 | Q8×C17 | — | 4 | 1 | no | — |
| 145 | D4×C17 | — | 2 | 2 | no | — |
| 146 | D4×C17 | — | 4 | 4 | no | — |
| 147 | D4×C17 | — | 4 | 1 | no | — |
| 148 | C2×C4×C17 | — | 4 | 1 | no | — |
| 149 | C2×C4×C17 | — | 4 | 4 | no | — |
| 150 | C2×C4×C17 | — | 4 | 2 | no | — |
| 151 | C2×C4×C17 | — | 8 | 2 | no | — |
| 152 | C2×C4×C17 | C22⋊Q8 | 1 | 2 | yes | — |
| 153 | C2×C4×C17 | C2×D8 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×C17 | #137 | 1 | 2 | yes | — |
| 155 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 156 | C2×Dic17 | — | 2 | 2 | no | — |
| 157 | C2×Dic17 | — | 2 | 2 | no | — |
| 158 | C2×Dic17 | — | 4 | 1 | no | — |
| 159 | C2×Dic17 | — | 4 | 1 | no | — |
| 160 | C2×Dic17 | — | 4 | 2 | no | — |
| 161 | C2×Dic17 | — | 8 | 2 | no | — |
| 162 | C2×Dic17 | — | 8 | 2 | no | — |
| 163 | C2×Dic17 | — | 8 | 2 | no | — |
| 164 | C2×Dic17 | C2×D8 | 1 | 1 | yes | characteristic |
| 165 | C2×Dic17 | C2×D8 | 1 | 1 | yes | characteristic |
| 166 | C2×Dic17 | C2×D8 | 1 | 1 | yes | characteristic |
| 167 | C2×Dic17 | C2×D8 | 1 | 1 | yes | characteristic |
| 168 | Dic34 | — | 8 | 4 | no | — |
| 169 | Dic34 | — | 8 | 4 | no | — |
| 170 | C8×C17 | C22⋊Q8 | 1 | 2 | yes | — |
| 171 | C8×C17 | C22×Q8 | 1 | 1 | yes | characteristic |
| 172 | C8×C17 | C2×#41 | 1 | 1 | yes | characteristic |
| 173 | #3622 | — | 2 | 1 | no | — |
| 174 | #3622 | — | 2 | 1 | no | — |
| 175 | C2×#500 | — | 17 | 1 | no | — |
| 176 | C4×#135 | — | 17 | 1 | no | — |
| 177 | #2227 | — | 17 | 2 | no | — |
| 178 | #2226 | — | 17 | 2 | no | — |
| 179 | #2225 | — | 17 | 2 | no | — |
| 180 | #2224 | — | 17 | 2 | no | — |
| 181 | #2159 | — | 17 | 1 | no | — |
| 182 | #2159 | — | 17 | 1 | no | — |
| 183 | #2150 | — | 17 | 1 | no | — |
| 184 | #2139 | — | 17 | 1 | no | — |
| 185 | #2139 | D17 | 1 | 1 | yes | characteristic |
| 186 | C22×C17 | — | 2 | 1 | no | — |
| 187 | C22×C17 | — | 2 | 1 | no | — |
| 188 | C22×C17 | — | 4 | 2 | no | — |
| 189 | C22×C17 | — | 8 | 1 | no | — |
| 190 | C22×C17 | — | 8 | 1 | no | — |
| 191 | C22×C17 | #474 | 1 | 2 | yes | — |
| 192 | C22×C17 | C22×D8 | 1 | 1 | yes | characteristic |
| 193 | C4×C17 | — | 4 | 2 | no | — |
| 194 | C4×C17 | — | 8 | 2 | no | — |
| 195 | C4×C17 | #474 | 1 | 2 | yes | — |
| 196 | C4×C17 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 197 | C4×C17 | C2×#137 | 1 | 1 | yes | characteristic |
| 198 | Dic17 | — | 2 | 1 | no | — |
| 199 | Dic17 | — | 2 | 1 | no | — |
| 200 | Dic17 | — | 8 | 2 | no | — |
| 201 | Dic17 | — | 8 | 1 | no | — |
| 202 | Dic17 | — | 8 | 1 | no | — |
| 203 | Dic17 | #509 | 1 | 2 | yes | — |
| 204 | Dic17 | #510 | 1 | 2 | yes | — |
| 205 | C2×#135 | C2×D17 | 1 | 1 | yes | characteristic |
| 206 | C2×C4⋊Q8 | — | 34 | 1 | no | — |
| 207 | C4×#41 | — | 34 | 1 | no | — |
| 208 | C2×M32 | — | 17 | 1 | no | — |
| 209 | C2×M32 | C2×D17 | 1 | 1 | yes | characteristic |
| 210 | #500 | — | 17 | 2 | no | — |
| 211 | #500 | — | 17 | 2 | no | — |
| 212 | #500 | — | 34 | 1 | no | — |
| 213 | #500 | — | 34 | 1 | no | — |
| 214 | C4×Q16 | — | 17 | 1 | no | — |
| 215 | C4×Q16 | — | 17 | 1 | no | — |
| 216 | C4×SD16 | — | 34 | 1 | no | — |
| 217 | C4×SD16 | — | 34 | 1 | no | — |
| 218 | C4×D8 | — | 17 | 1 | no | — |
| 219 | C4×D8 | — | 17 | 1 | no | — |
| 220 | #427 | — | 17 | 1 | no | — |
| 221 | C2×#107 | — | 17 | 1 | no | — |
| 222 | C2×#107 | — | 34 | 1 | no | — |
| 223 | C2×#107 | C2×D17 | 1 | 1 | yes | characteristic |
| 224 | #416 | — | 34 | 1 | no | — |
| 225 | C2×C4×C8 | — | 17 | 1 | no | — |
| 226 | #367 | — | 17 | 2 | no | — |
| 227 | #367 | — | 17 | 2 | no | — |
| 228 | #366 | — | 17 | 2 | no | — |
| 229 | #366 | — | 17 | 2 | no | — |
| 230 | C4⋊C16 | — | 17 | 2 | no | — |
| 231 | C4⋊C16 | — | 17 | 2 | no | — |
| 232 | #358 | — | 17 | 2 | no | — |
| 233 | #358 | C2×D17 | 1 | 2 | yes | — |
| 234 | #357 | — | 17 | 2 | no | — |
| 235 | #357 | C2×D17 | 1 | 2 | yes | — |
| 236 | C2×C17 | — | 2 | 2 | no | — |
| 237 | C2×C17 | — | 8 | 2 | no | — |
| 238 | C2×C17 | C2×#474 | 1 | 1 | yes | characteristic |
| 239 | C2×C17 | C2×#509 | 1 | 1 | yes | characteristic |
| 240 | C2×C17 | C2×#510 | 1 | 1 | yes | characteristic |
| 241 | C2×#41 | — | 2 | 1 | no | — |
| 242 | C22×Q8 | — | 68 | 1 | no | — |
| 243 | #135 | — | 2 | 2 | no | — |
| 244 | #135 | Dic34 | 1 | 4 | yes | complemented |
| 245 | C2×Q16 | C22×D17 | 1 | 1 | yes | characteristic |
| 246 | C2×SD16 | — | 2 | 1 | no | — |
| 247 | C2×D8 | C22×D17 | 1 | 1 | yes | characteristic |
| 248 | C22×C8 | — | 17 | 1 | no | — |
| 249 | C22×C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 250 | C4⋊Q8 | — | 34 | 2 | no | — |
| 251 | C4⋊Q8 | — | 34 | 2 | no | — |
| 252 | C4⋊Q8 | — | 68 | 1 | no | — |
| 253 | C4⋊Q8 | — | 68 | 1 | no | — |
| 254 | C4×Q8 | — | 34 | 1 | no | — |
| 255 | C4×Q8 | — | 34 | 1 | no | — |
| 256 | C4×D4 | — | 34 | 1 | no | — |
| 257 | C4×D4 | — | 34 | 1 | no | — |
| 258 | C4×D4 | — | 68 | 1 | no | — |
| 259 | C4×D4 | — | 68 | 1 | no | — |
| 260 | #117 | — | 34 | 1 | no | — |
| 261 | #117 | — | 68 | 1 | no | — |
| 262 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 263 | C2×C4⋊C4 | — | 34 | 1 | no | — |
| 264 | C2×C4⋊C4 | — | 68 | 1 | no | — |
| 265 | C2×C42 | — | 17 | 1 | no | — |
| 266 | C2×C42 | — | 68 | 1 | no | — |
| 267 | M32 | — | 2 | 2 | no | — |
| 268 | M32 | — | 34 | 2 | no | — |
| 269 | C2×C16 | — | 17 | 2 | no | — |
| 270 | C2×C16 | C22×D17 | 1 | 2 | yes | — |
| 271 | #107 | — | 2 | 1 | no | — |
| 272 | #107 | — | 17 | 2 | no | — |
| 273 | #107 | — | 17 | 1 | no | — |
| 274 | #107 | — | 17 | 1 | no | — |
| 275 | #107 | — | 34 | 2 | no | — |
| 276 | #107 | — | 34 | 2 | no | — |
| 277 | #107 | — | 34 | 1 | no | — |
| 278 | #107 | C22×D17 | 1 | 2 | yes | — |
| 279 | #106 | — | 34 | 1 | no | — |
| 280 | #103 | — | 34 | 1 | no | — |
| 281 | #103 | — | 34 | 1 | no | — |
| 282 | #102 | — | 34 | 1 | no | — |
| 283 | #102 | — | 34 | 1 | no | — |
| 284 | C4×C8 | — | 17 | 1 | no | — |
| 285 | C4×C8 | — | 17 | 1 | no | — |
| 286 | C4×C8 | — | 17 | 1 | no | — |
| 287 | C4×C8 | — | 17 | 1 | no | — |
| 288 | C17 | #33629 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 289 | #41 | — | 2 | 4 | no | — |
| 290 | #41 | — | 4 | 2 | no | — |
| 291 | C2×Q8 | — | 2 | 1 | no | — |
| 292 | C2×Q8 | — | 68 | 2 | no | — |
| 293 | C2×Q8 | — | 68 | 2 | no | — |
| 294 | C2×Q8 | — | 136 | 4 | no | — |
| 295 | C2×D4 | — | 2 | 1 | no | — |
| 296 | C2×D4 | — | 4 | 1 | no | — |
| 297 | C22×C4 | — | 4 | 1 | no | — |
| 298 | C22×C4 | — | 4 | 1 | no | — |
| 299 | C22×C4 | — | 17 | 1 | no | — |
| 300 | C22×C4 | — | 17 | 1 | no | — |
| 301 | C22×C4 | — | 68 | 1 | no | — |
| 302 | C22×C4 | — | 68 | 1 | no | — |
| 303 | C22×C4 | — | 68 | 1 | no | — |
| 304 | C22×C4 | D4×D17 | 1 | 1 | yes | characteristic |
| 305 | Q16 | — | 2 | 1 | no | — |
| 306 | Q16 | C2×Dic34 | 1 | 2 | yes | complemented |
| 307 | SD16 | — | 2 | 4 | no | — |
| 308 | D8 | — | 2 | 1 | no | — |
| 309 | D8 | C2×Dic34 | 1 | 2 | yes | complemented |
| 310 | C2×C8 | — | 17 | 1 | no | — |
| 311 | C2×C8 | — | 17 | 1 | no | — |
| 312 | C2×C8 | — | 34 | 2 | no | — |
| 313 | C2×C8 | C2×Dic34 | 1 | 2 | yes | — |
| 314 | C2×C8 | D4×D17 | 1 | 1 | yes | characteristic |
| 315 | C2×C8 | #63254 | 1 | 2 | yes | — |
| 316 | C2×C8 | C23×D17 | 1 | 1 | yes | characteristic |
| 317 | C4⋊C4 | — | 2 | 2 | no | — |
| 318 | C4⋊C4 | — | 4 | 1 | no | — |
| 319 | C4⋊C4 | — | 34 | 1 | no | — |
| 320 | C4⋊C4 | — | 34 | 1 | no | — |
| 321 | C4⋊C4 | — | 34 | 2 | no | — |
| 322 | C4⋊C4 | — | 68 | 2 | no | — |
| 323 | C4⋊C4 | — | 68 | 2 | no | — |
| 324 | C4⋊C4 | — | 68 | 1 | no | — |
| 325 | C4⋊C4 | — | 68 | 1 | no | — |
| 326 | C4⋊C4 | — | 68 | 1 | no | — |
| 327 | C22⋊C4 | — | 68 | 1 | no | — |
| 328 | C22⋊C4 | — | 68 | 1 | no | — |
| 329 | C22⋊C4 | — | 68 | 1 | no | — |
| 330 | C42 | — | 17 | 1 | no | — |
| 331 | C42 | — | 17 | 1 | no | — |
| 332 | C42 | — | 17 | 1 | no | — |
| 333 | C42 | — | 17 | 1 | no | — |
| 334 | C42 | — | 68 | 1 | no | — |
| 335 | C42 | — | 68 | 1 | no | — |
| 336 | C42 | — | 68 | 1 | no | — |
| 337 | C16 | — | 2 | 2 | no | — |
| 338 | C16 | — | 34 | 2 | no | — |
| 339 | C23 | — | 4 | 1 | no | — |
| 340 | C23 | D8×D17 | 1 | 1 | yes | characteristic |
| 341 | Q8 | — | 2 | 2 | no | — |
| 342 | Q8 | — | 4 | 1 | no | — |
| 343 | Q8 | — | 136 | 4 | no | — |
| 344 | Q8 | — | 136 | 4 | no | — |
| 345 | D4 | — | 2 | 2 | no | — |
| 346 | D4 | — | 4 | 4 | no | — |
| 347 | D4 | — | 4 | 1 | no | — |
| 348 | C2×C4 | — | 4 | 1 | no | — |
| 349 | C2×C4 | — | 4 | 4 | no | — |
| 350 | C2×C4 | — | 4 | 2 | no | — |
| 351 | C2×C4 | — | 8 | 2 | no | — |
| 352 | C2×C4 | — | 17 | 1 | no | — |
| 353 | C2×C4 | — | 17 | 1 | no | — |
| 354 | C2×C4 | — | 17 | 1 | no | — |
| 355 | C2×C4 | — | 17 | 1 | no | — |
| 356 | C2×C4 | — | 34 | 2 | no | — |
| 357 | C2×C4 | — | 34 | 2 | no | — |
| 358 | C2×C4 | — | 68 | 1 | no | — |
| 359 | C2×C4 | — | 68 | 1 | no | — |
| 360 | C2×C4 | — | 68 | 2 | no | — |
| 361 | C2×C4 | — | 136 | 2 | no | — |
| 362 | C2×C4 | — | 136 | 2 | no | — |
| 363 | C2×C4 | — | 136 | 2 | no | — |
| 364 | C2×C4 | #10587564 | 1 | 2 | yes | — |
| 365 | C2×C4 | D8×D17 | 1 | 1 | yes | characteristic |
| 366 | C2×C4 | #10587601 | 1 | 2 | yes | — |
| 367 | C2×C4 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 368 | C8 | — | 34 | 1 | no | — |
| 369 | C8 | — | 34 | 1 | no | — |
| 370 | C8 | #10587564 | 1 | 2 | yes | — |
| 371 | C8 | C22×Dic34 | 1 | 1 | yes | characteristic |
| 372 | C8 | C2×#63254 | 1 | 1 | yes | characteristic |
| 373 | C22 | — | 2 | 1 | no | — |
| 374 | C22 | — | 2 | 1 | no | — |
| 375 | C22 | — | 4 | 2 | no | — |
| 376 | C22 | — | 8 | 1 | no | — |
| 377 | C22 | — | 8 | 1 | no | — |
| 378 | C22 | #11763087 | 1 | 2 | yes | — |
| 379 | C22 | C2×D8×D17 | 1 | 1 | yes | characteristic |
| 380 | C4 | — | 4 | 2 | no | — |
| 381 | C4 | — | 8 | 2 | no | — |
| 382 | C4 | — | 17 | 2 | no | — |
| 383 | C4 | — | 17 | 2 | no | — |
| 384 | C4 | — | 34 | 1 | no | — |
| 385 | C4 | — | 34 | 1 | no | — |
| 386 | C4 | — | 136 | 2 | no | — |
| 387 | C4 | — | 136 | 1 | no | — |
| 388 | C4 | — | 136 | 1 | no | — |
| 389 | C4 | #11763087 | 1 | 2 | yes | — |
| 390 | C4 | C2×#10587564 | 1 | 1 | yes | characteristic |
| 391 | C4 | C2×#10587601 | 1 | 1 | yes | characteristic |
| 392 | C2 | — | 2 | 2 | no | — |
| 393 | C2 | — | 8 | 2 | no | — |
| 394 | C2 | C2×#11763087 | 1 | 1 | yes | characteristic |
| 395 | C2 | D17×#509 | 1 | 1 | yes | characteristic |
| 396 | C2 | D17×#510 | 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