← #17915908
Subgroups — #17915908
Order 4352.
1960 conjugacy classes of subgroups.
The subgroup lattice has 424 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #14542410 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #14541759 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | Q8×Dic68 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #14541456 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #14541207 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #14540735 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #14540544 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #14539363 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #14538845 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | C4×#10587590 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | C8×#41×C17 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#10587590 | C22 | 1 | 3 | yes | — |
| 13 | Q8×Dic34 | C22 | 1 | 2 | yes | — |
| 14 | #11763524 | C22 | 1 | 6 | yes | — |
| 15 | #11763522 | — | 2 | 6 | no | — |
| 16 | #11763481 | C22 | 1 | 2 | yes | — |
| 17 | #11763480 | C22 | 1 | 6 | yes | — |
| 18 | #11763478 | — | 2 | 2 | no | — |
| 19 | #11763359 | C22 | 1 | 6 | yes | — |
| 20 | #11763356 | — | 2 | 6 | no | — |
| 21 | C4×#63256 | — | 2 | 2 | no | — |
| 22 | C4×#63252 | C22 | 1 | 6 | yes | — |
| 23 | #11763214 | C22 | 1 | 3 | yes | — |
| 24 | #11763186 | C22 | 1 | 3 | yes | — |
| 25 | #11763156 | C22 | 1 | 6 | yes | — |
| 26 | #11763134 | C22 | 1 | 12 | yes | — |
| 27 | #11763105 | C22 | 1 | 6 | yes | — |
| 28 | #11763100 | C22 | 1 | 6 | yes | — |
| 29 | #11763045 | C22 | 1 | 6 | yes | — |
| 30 | #11763045 | C22 | 1 | 6 | yes | — |
| 31 | #11763010 | C22 | 1 | 6 | yes | — |
| 32 | #11763005 | C22 | 1 | 6 | yes | — |
| 33 | #11762956 | C22 | 1 | 12 | yes | — |
| 34 | C4×Dic68 | C22 | 1 | 3 | yes | — |
| 35 | C4×Dic68 | C22 | 1 | 1 | yes | characteristic |
| 36 | C4×#63219 | C22 | 1 | 6 | yes | — |
| 37 | C4×#63219 | C22 | 1 | 6 | yes | — |
| 38 | C4×D136 | C22 | 1 | 3 | yes | — |
| 39 | C4×D136 | C22 | 1 | 3 | yes | — |
| 40 | C4×D136 | C22 | 1 | 6 | yes | — |
| 41 | #11762847 | C22 | 1 | 3 | yes | — |
| 42 | #11762806 | C22 | 1 | 6 | yes | — |
| 43 | C4×#41×C17 | C22 | 1 | 1 | yes | characteristic |
| 44 | C8×Q8×C17 | C22 | 1 | 1 | yes | characteristic |
| 45 | C8×Q8×C17 | C22 | 1 | 1 | yes | characteristic |
| 46 | C8×D4×C17 | C22 | 1 | 3 | yes | — |
| 47 | C8×D4×C17 | C22 | 1 | 3 | yes | — |
| 48 | C17×#431 | C22 | 1 | 3 | yes | — |
| 49 | C2×C4×C8×C17 | C22 | 1 | 3 | yes | — |
| 50 | C2×#41×C17 | D4 | 1 | 1 | yes | characteristic |
| 51 | C2×#63256 | — | 2 | 2 | no | — |
| 52 | C2×#63252 | — | 2 | 6 | no | — |
| 53 | C2×#63252 | C23 | 1 | 6 | yes | — |
| 54 | C22×C8×C17 | C23 | 1 | 3 | yes | — |
| 55 | C22×C8×C17 | C23 | 1 | 3 | yes | — |
| 56 | C4×Q8×C17 | D4 | 1 | 1 | yes | characteristic |
| 57 | C4×Q8×C17 | C23 | 1 | 1 | yes | characteristic |
| 58 | C4×D4×C17 | D4 | 1 | 3 | yes | — |
| 59 | C4×D4×C17 | C23 | 1 | 3 | yes | — |
| 60 | C17×#117 | D4 | 1 | 3 | yes | — |
| 61 | C2×C42×C17 | C23 | 1 | 3 | yes | — |
| 62 | Q8×Dic17 | — | 2 | 2 | no | — |
| 63 | #10587626 | — | 2 | 6 | no | — |
| 64 | #10587624 | — | 2 | 6 | no | — |
| 65 | #10587616 | — | 2 | 6 | no | — |
| 66 | #10587616 | C23 | 1 | 12 | yes | — |
| 67 | C4×C22⋊D17 | — | 2 | 6 | no | — |
| 68 | C4×C22⋊D17 | — | 2 | 6 | no | — |
| 69 | #10587612 | C23 | 1 | 6 | yes | — |
| 70 | C2×Dic68 | C23 | 1 | 1 | yes | characteristic |
| 71 | #10587590 | — | 2 | 12 | no | — |
| 72 | C2×D136 | C23 | 1 | 3 | yes | — |
| 73 | C2×D136 | C23 | 1 | 6 | yes | — |
| 74 | C2×#63219 | C23 | 1 | 6 | yes | — |
| 75 | #10587581 | — | 2 | 6 | no | — |
| 76 | #10587579 | — | 2 | 6 | no | — |
| 77 | #10587578 | — | 2 | 6 | no | — |
| 78 | #10587574 | — | 2 | 6 | no | — |
| 79 | #10587571 | — | 2 | 12 | no | — |
| 80 | #10587570 | — | 2 | 12 | no | — |
| 81 | #10587561 | — | 2 | 6 | no | — |
| 82 | #10587560 | C23 | 1 | 6 | yes | — |
| 83 | C4×D68 | — | 2 | 6 | no | — |
| 84 | C4×D68 | C23 | 1 | 6 | yes | — |
| 85 | C4×D68 | C23 | 1 | 6 | yes | — |
| 86 | #10587558 | — | 2 | 6 | no | — |
| 87 | C42×D17 | — | 2 | 6 | no | — |
| 88 | #10587555 | C23 | 1 | 6 | yes | — |
| 89 | C4×Dic34 | C23 | 1 | 6 | yes | — |
| 90 | C4×Dic34 | C23 | 1 | 2 | yes | — |
| 91 | C17×C4⋊C8 | C23 | 1 | 3 | yes | — |
| 92 | C17×C4⋊C8 | C23 | 1 | 3 | yes | — |
| 93 | C17×C22⋊C8 | C23 | 1 | 6 | yes | — |
| 94 | C4×C8×C17 | C23 | 1 | 3 | yes | — |
| 95 | C4×C8×C17 | C23 | 1 | 1 | yes | characteristic |
| 96 | C4×C8×C17 | C23 | 1 | 3 | yes | — |
| 97 | C4×C8×C17 | C23 | 1 | 3 | yes | — |
| 98 | #10587492 | C23 | 1 | 12 | yes | — |
| 99 | #10587492 | C23 | 1 | 6 | yes | — |
| 100 | #10587492 | C23 | 1 | 6 | yes | — |
| 101 | #10587489 | C23 | 1 | 3 | yes | — |
| 102 | #10587489 | C23 | 1 | 6 | yes | — |
| 103 | #10587489 | C23 | 1 | 1 | yes | characteristic |
| 104 | #10587488 | C23 | 1 | 6 | yes | — |
| 105 | #10587487 | C23 | 1 | 6 | yes | — |
| 106 | #10587487 | C23 | 1 | 2 | yes | — |
| 107 | #41×C17 | — | 2 | 4 | no | — |
| 108 | C2×Q8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C2×D4×C17 | C2×D4 | 1 | 3 | yes | — |
| 110 | C22×C4×C17 | C2×D4 | 1 | 3 | yes | — |
| 111 | C22×C4×C17 | C2×D4 | 1 | 3 | yes | — |
| 112 | C22×C4×C17 | C24 | 1 | 3 | yes | — |
| 113 | C2×C22⋊D17 | — | 2 | 6 | no | — |
| 114 | C2×C22⋊D17 | — | 2 | 12 | no | — |
| 115 | #63256 | — | 4 | 8 | no | — |
| 116 | #63252 | — | 2 | 12 | no | — |
| 117 | #63252 | — | 4 | 6 | no | — |
| 118 | #63252 | — | 8 | 12 | no | — |
| 119 | C2×D68 | — | 2 | 6 | no | — |
| 120 | C2×D68 | — | 2 | 6 | no | — |
| 121 | C2×D68 | C24 | 1 | 6 | yes | — |
| 122 | C2×C4×D17 | — | 2 | 6 | no | — |
| 123 | C2×C4×D17 | — | 2 | 6 | no | — |
| 124 | C2×C4×D17 | — | 2 | 6 | no | — |
| 125 | C2×Dic34 | — | 2 | 6 | no | — |
| 126 | C2×Dic34 | C24 | 1 | 2 | yes | — |
| 127 | C2×C8×C17 | — | 2 | 6 | no | — |
| 128 | C2×C8×C17 | — | 4 | 3 | no | — |
| 129 | C2×C8×C17 | C24 | 1 | 1 | yes | characteristic |
| 130 | C2×C8×C17 | C24 | 1 | 3 | yes | — |
| 131 | C2×C8×C17 | C24 | 1 | 3 | yes | — |
| 132 | C2×C8×C17 | C24 | 1 | 1 | yes | characteristic |
| 133 | C4⋊C4×C17 | C2×D4 | 1 | 3 | yes | — |
| 134 | C4⋊C4×C17 | C2×D4 | 1 | 3 | yes | — |
| 135 | C22⋊C4×C17 | C2×D4 | 1 | 6 | yes | — |
| 136 | C42×C17 | C2×D4 | 1 | 3 | yes | — |
| 137 | C42×C17 | C2×D4 | 1 | 3 | yes | — |
| 138 | C42×C17 | C24 | 1 | 1 | yes | characteristic |
| 139 | C42×C17 | C24 | 1 | 3 | yes | — |
| 140 | C22⋊Dic17 | — | 2 | 6 | no | — |
| 141 | #63227 | — | 2 | 6 | no | — |
| 142 | #63227 | — | 2 | 6 | no | — |
| 143 | #63227 | — | 2 | 12 | no | — |
| 144 | C4⋊Dic17 | — | 2 | 6 | no | — |
| 145 | C4⋊Dic17 | C24 | 1 | 2 | yes | — |
| 146 | C4⋊Dic17 | C24 | 1 | 6 | yes | — |
| 147 | #63225 | — | 2 | 2 | no | — |
| 148 | #63225 | — | 2 | 6 | no | — |
| 149 | C4×Dic17 | — | 2 | 2 | no | — |
| 150 | C4×Dic17 | — | 2 | 6 | no | — |
| 151 | C4×Dic17 | — | 2 | 6 | no | — |
| 152 | Dic68 | #41 | 1 | 4 | yes | complemented |
| 153 | D136 | — | 2 | 6 | no | — |
| 154 | D136 | — | 4 | 6 | no | — |
| 155 | #63219 | — | 2 | 12 | no | — |
| 156 | #61436 | — | 17 | 1 | no | maximal, Sylow |
| 157 | C23×C17 | C22×D4 | 1 | 3 | yes | — |
| 158 | C22×D17 | — | 2 | 6 | no | — |
| 159 | Q8×C17 | #135 | 1 | 4 | yes | complemented |
| 160 | D4×C17 | — | 2 | 6 | no | — |
| 161 | C2×C4×C17 | — | 2 | 6 | no | — |
| 162 | C2×C4×C17 | — | 2 | 6 | no | — |
| 163 | C2×C4×C17 | — | 2 | 3 | no | — |
| 164 | C2×C4×C17 | — | 2 | 3 | no | — |
| 165 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 166 | C2×C4×C17 | C22×D4 | 1 | 3 | yes | — |
| 167 | C2×C4×C17 | C22×D4 | 1 | 3 | yes | — |
| 168 | C2×C4×C17 | C22×D4 | 1 | 3 | yes | — |
| 169 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 170 | C2×C4×C17 | C25 | 1 | 1 | yes | characteristic |
| 171 | C22⋊D17 | — | 4 | 12 | no | — |
| 172 | C22⋊D17 | — | 8 | 12 | no | — |
| 173 | C2×Dic17 | — | 2 | 2 | no | — |
| 174 | C2×Dic17 | — | 2 | 2 | no | — |
| 175 | C2×Dic17 | — | 2 | 6 | no | — |
| 176 | D68 | — | 2 | 6 | no | — |
| 177 | D68 | — | 2 | 6 | no | — |
| 178 | D68 | — | 4 | 12 | no | — |
| 179 | D68 | — | 8 | 6 | no | — |
| 180 | C4×D17 | — | 4 | 12 | no | — |
| 181 | C4×D17 | — | 4 | 12 | no | — |
| 182 | C4×D17 | — | 4 | 12 | no | — |
| 183 | Dic34 | — | 2 | 2 | no | — |
| 184 | Dic34 | — | 8 | 6 | no | — |
| 185 | Dic34 | C2×#41 | 1 | 4 | yes | — |
| 186 | C8×C17 | — | 2 | 3 | no | — |
| 187 | C8×C17 | — | 2 | 1 | no | — |
| 188 | C8×C17 | — | 2 | 3 | no | — |
| 189 | C8×C17 | C2×#41 | 1 | 2 | yes | — |
| 190 | #3483 | — | 17 | 2 | no | — |
| 191 | #3391 | — | 17 | 1 | no | — |
| 192 | Q8×Q16 | — | 17 | 1 | no | — |
| 193 | #3362 | — | 17 | 2 | no | — |
| 194 | #3341 | — | 17 | 3 | no | — |
| 195 | #3305 | — | 17 | 6 | no | — |
| 196 | #3287 | — | 17 | 3 | no | — |
| 197 | #3169 | — | 17 | 3 | no | — |
| 198 | #3106 | — | 17 | 6 | no | — |
| 199 | C8×#41 | D17 | 1 | 1 | yes | characteristic, complemented |
| 200 | C4×#135 | — | 17 | 3 | no | — |
| 201 | C22×C17 | — | 2 | 3 | no | — |
| 202 | C22×C17 | — | 2 | 3 | no | — |
| 203 | C22×C17 | — | 2 | 3 | no | — |
| 204 | C22×C17 | C23×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×D17 | — | 4 | 6 | no | — |
| 206 | C2×D17 | — | 4 | 6 | no | — |
| 207 | C2×D17 | — | 4 | 6 | no | — |
| 208 | C4×C17 | — | 2 | 3 | no | — |
| 209 | C4×C17 | — | 2 | 1 | no | — |
| 210 | C4×C17 | — | 2 | 3 | no | — |
| 211 | C4×C17 | C2×#135 | 1 | 6 | yes | — |
| 212 | C4×C17 | #576 | 1 | 2 | yes | — |
| 213 | C4×C17 | C22×#41 | 1 | 1 | yes | characteristic |
| 214 | C4×C17 | #585 | 1 | 1 | yes | characteristic |
| 215 | Dic17 | — | 2 | 4 | no | — |
| 216 | Dic17 | — | 4 | 2 | no | — |
| 217 | Dic17 | — | 4 | 6 | no | — |
| 218 | C2×#135 | — | 17 | 3 | no | — |
| 219 | Q82 | — | 17 | 2 | no | — |
| 220 | #555 | — | 17 | 6 | no | — |
| 221 | #555 | — | 34 | 6 | no | — |
| 222 | #550 | — | 17 | 2 | no | — |
| 223 | #550 | — | 17 | 6 | no | — |
| 224 | #550 | — | 34 | 2 | no | — |
| 225 | #532 | — | 17 | 6 | no | — |
| 226 | #532 | — | 34 | 6 | no | — |
| 227 | C4×#41 | — | 17 | 6 | no | — |
| 228 | C4×#41 | — | 34 | 2 | no | — |
| 229 | C4×#41 | C2×D17 | 1 | 1 | yes | characteristic |
| 230 | #500 | — | 17 | 3 | no | — |
| 231 | #493 | — | 17 | 3 | no | — |
| 232 | #486 | — | 17 | 6 | no | — |
| 233 | #482 | — | 17 | 12 | no | — |
| 234 | #477 | — | 17 | 6 | no | — |
| 235 | #476 | — | 17 | 6 | no | — |
| 236 | #466 | — | 17 | 6 | no | — |
| 237 | #466 | — | 17 | 6 | no | — |
| 238 | #460 | — | 17 | 6 | no | — |
| 239 | #459 | — | 17 | 6 | no | — |
| 240 | #449 | — | 17 | 12 | no | — |
| 241 | C8×Q8 | C2×D17 | 1 | 1 | yes | characteristic |
| 242 | C8×Q8 | C2×D17 | 1 | 1 | yes | characteristic |
| 243 | C4×Q16 | — | 17 | 3 | no | — |
| 244 | C4×Q16 | — | 17 | 1 | no | — |
| 245 | C4×SD16 | — | 17 | 6 | no | — |
| 246 | C4×SD16 | — | 17 | 6 | no | — |
| 247 | C4×D8 | — | 17 | 3 | no | — |
| 248 | C4×D8 | — | 17 | 6 | no | — |
| 249 | C4×D8 | — | 17 | 3 | no | — |
| 250 | C8×D4 | C2×D17 | 1 | 3 | yes | — |
| 251 | C8×D4 | C2×D17 | 1 | 3 | yes | — |
| 252 | #431 | C2×D17 | 1 | 3 | yes | — |
| 253 | #427 | — | 17 | 3 | no | — |
| 254 | #416 | — | 17 | 6 | no | — |
| 255 | C2×C4×C8 | C2×D17 | 1 | 3 | yes | — |
| 256 | C2×C17 | — | 4 | 3 | no | — |
| 257 | C2×C17 | D4×#41 | 1 | 1 | yes | characteristic |
| 258 | C2×C17 | C22×#135 | 1 | 1 | yes | characteristic |
| 259 | C2×C17 | C2×#576 | 1 | 1 | yes | characteristic |
| 260 | D17 | — | 8 | 6 | no | — |
| 261 | C2×#41 | — | 17 | 6 | no | — |
| 262 | C2×#41 | — | 34 | 2 | no | — |
| 263 | C2×#41 | — | 34 | 6 | no | — |
| 264 | C2×#41 | D68 | 1 | 1 | yes | characteristic |
| 265 | #135 | — | 34 | 12 | no | — |
| 266 | C2×Q16 | — | 17 | 1 | no | — |
| 267 | C2×SD16 | — | 17 | 6 | no | — |
| 268 | C2×D8 | — | 17 | 3 | no | — |
| 269 | C2×D8 | — | 17 | 6 | no | — |
| 270 | C22×C8 | C22×D17 | 1 | 3 | yes | — |
| 271 | C22×C8 | C22×D17 | 1 | 3 | yes | — |
| 272 | C4⋊Q8 | — | 17 | 6 | no | — |
| 273 | C4⋊Q8 | — | 34 | 6 | no | — |
| 274 | #127 | — | 17 | 6 | no | — |
| 275 | #127 | — | 34 | 6 | no | — |
| 276 | #124 | — | 34 | 12 | no | — |
| 277 | #124 | — | 34 | 6 | no | — |
| 278 | #121 | — | 17 | 12 | no | — |
| 279 | #121 | — | 34 | 6 | no | — |
| 280 | #121 | — | 34 | 6 | no | — |
| 281 | #121 | — | 34 | 6 | no | — |
| 282 | #121 | — | 34 | 12 | no | — |
| 283 | C4×Q8 | — | 17 | 2 | no | — |
| 284 | C4×Q8 | — | 17 | 6 | no | — |
| 285 | C4×Q8 | — | 34 | 2 | no | — |
| 286 | C4×Q8 | D68 | 1 | 1 | yes | characteristic |
| 287 | C4×Q8 | C22×D17 | 1 | 1 | yes | characteristic |
| 288 | C4×D4 | — | 17 | 6 | no | — |
| 289 | C4×D4 | — | 17 | 6 | no | — |
| 290 | C4×D4 | — | 34 | 6 | no | — |
| 291 | C4×D4 | — | 34 | 6 | no | — |
| 292 | C4×D4 | — | 34 | 6 | no | — |
| 293 | C4×D4 | — | 34 | 6 | no | — |
| 294 | C4×D4 | D68 | 1 | 3 | yes | — |
| 295 | C4×D4 | C22×D17 | 1 | 3 | yes | — |
| 296 | #117 | — | 17 | 6 | no | — |
| 297 | #117 | — | 34 | 6 | no | — |
| 298 | #117 | — | 34 | 6 | no | — |
| 299 | #117 | D68 | 1 | 3 | yes | — |
| 300 | C2×C42 | — | 34 | 6 | no | — |
| 301 | C2×C42 | C22×D17 | 1 | 3 | yes | — |
| 302 | #107 | — | 17 | 1 | no | — |
| 303 | #107 | — | 17 | 3 | no | — |
| 304 | #107 | — | 17 | 6 | no | — |
| 305 | #106 | — | 17 | 6 | no | — |
| 306 | C4⋊C8 | C22×D17 | 1 | 3 | yes | — |
| 307 | C4⋊C8 | C22×D17 | 1 | 3 | yes | — |
| 308 | #103 | — | 17 | 2 | no | — |
| 309 | #103 | — | 17 | 6 | no | — |
| 310 | #102 | — | 17 | 6 | no | — |
| 311 | #102 | — | 17 | 6 | no | — |
| 312 | #102 | — | 17 | 12 | no | — |
| 313 | C22⋊C8 | C22×D17 | 1 | 6 | yes | — |
| 314 | C4×C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 315 | C4×C8 | C22×D17 | 1 | 3 | yes | — |
| 316 | C4×C8 | C22×D17 | 1 | 3 | yes | — |
| 317 | C4×C8 | C22×D17 | 1 | 3 | yes | — |
| 318 | C17 | #61436 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 319 | #41 | — | 2 | 4 | no | — |
| 320 | #41 | — | 34 | 12 | no | — |
| 321 | #41 | — | 68 | 6 | no | — |
| 322 | #41 | — | 68 | 8 | no | — |
| 323 | #41 | — | 136 | 12 | no | — |
| 324 | C2×Q8 | — | 17 | 2 | no | — |
| 325 | C2×Q8 | — | 34 | 6 | no | — |
| 326 | C2×Q8 | C2×D68 | 1 | 1 | yes | characteristic |
| 327 | C2×D4 | — | 17 | 6 | no | — |
| 328 | C2×D4 | — | 34 | 6 | no | — |
| 329 | C2×D4 | — | 34 | 12 | no | — |
| 330 | C2×D4 | — | 34 | 6 | no | — |
| 331 | C2×D4 | — | 34 | 6 | no | — |
| 332 | C2×D4 | C2×D68 | 1 | 3 | yes | — |
| 333 | C22×C4 | — | 34 | 6 | no | — |
| 334 | C22×C4 | — | 34 | 6 | no | — |
| 335 | C22×C4 | — | 34 | 6 | no | — |
| 336 | C22×C4 | C2×D68 | 1 | 3 | yes | — |
| 337 | C22×C4 | C2×D68 | 1 | 3 | yes | — |
| 338 | C22×C4 | C23×D17 | 1 | 3 | yes | — |
| 339 | Q16 | — | 17 | 4 | no | — |
| 340 | SD16 | — | 34 | 12 | no | — |
| 341 | D8 | — | 34 | 6 | no | — |
| 342 | D8 | — | 68 | 6 | no | — |
| 343 | C2×C8 | — | 2 | 6 | no | — |
| 344 | C2×C8 | — | 4 | 3 | no | — |
| 345 | C2×C8 | C23×D17 | 1 | 1 | yes | characteristic |
| 346 | C2×C8 | C23×D17 | 1 | 3 | yes | — |
| 347 | C2×C8 | C23×D17 | 1 | 3 | yes | — |
| 348 | C2×C8 | C23×D17 | 1 | 1 | yes | characteristic |
| 349 | C4⋊C4 | — | 17 | 2 | no | — |
| 350 | C4⋊C4 | — | 17 | 6 | no | — |
| 351 | C4⋊C4 | — | 34 | 2 | no | — |
| 352 | C4⋊C4 | — | 34 | 6 | no | — |
| 353 | C4⋊C4 | — | 34 | 6 | no | — |
| 354 | C4⋊C4 | C2×D68 | 1 | 3 | yes | — |
| 355 | C4⋊C4 | C2×D68 | 1 | 3 | yes | — |
| 356 | C22⋊C4 | — | 34 | 6 | no | — |
| 357 | C22⋊C4 | — | 34 | 6 | no | — |
| 358 | C22⋊C4 | — | 34 | 6 | no | — |
| 359 | C22⋊C4 | — | 34 | 12 | no | — |
| 360 | C22⋊C4 | C2×D68 | 1 | 6 | yes | — |
| 361 | C42 | — | 34 | 6 | no | — |
| 362 | C42 | — | 34 | 6 | no | — |
| 363 | C42 | — | 34 | 2 | no | — |
| 364 | C42 | C2×D68 | 1 | 3 | yes | — |
| 365 | C42 | C2×D68 | 1 | 3 | yes | — |
| 366 | C42 | C23×D17 | 1 | 3 | yes | — |
| 367 | C42 | C23×D17 | 1 | 1 | yes | characteristic |
| 368 | C23 | — | 34 | 6 | no | — |
| 369 | C23 | C22×D68 | 1 | 3 | yes | — |
| 370 | Q8 | — | 17 | 4 | no | — |
| 371 | Q8 | — | 34 | 2 | no | — |
| 372 | Q8 | — | 136 | 6 | no | — |
| 373 | Q8 | #10587590 | 1 | 4 | yes | complemented |
| 374 | D4 | — | 2 | 6 | no | — |
| 375 | D4 | — | 34 | 6 | no | — |
| 376 | D4 | — | 34 | 6 | no | — |
| 377 | D4 | — | 68 | 12 | no | — |
| 378 | D4 | — | 68 | 12 | no | — |
| 379 | D4 | — | 136 | 6 | no | — |
| 380 | D4 | — | 136 | 12 | no | — |
| 381 | C2×C4 | — | 2 | 6 | no | — |
| 382 | C2×C4 | — | 2 | 6 | no | — |
| 383 | C2×C4 | — | 2 | 3 | no | — |
| 384 | C2×C4 | — | 2 | 3 | no | — |
| 385 | C2×C4 | — | 34 | 2 | no | — |
| 386 | C2×C4 | — | 34 | 2 | no | — |
| 387 | C2×C4 | — | 34 | 6 | no | — |
| 388 | C2×C4 | — | 68 | 12 | no | — |
| 389 | C2×C4 | — | 68 | 12 | no | — |
| 390 | C2×C4 | — | 68 | 12 | no | — |
| 391 | C2×C4 | C22×D68 | 1 | 3 | yes | — |
| 392 | C2×C4 | C22×D68 | 1 | 1 | yes | characteristic |
| 393 | C2×C4 | C22×D68 | 1 | 3 | yes | — |
| 394 | C2×C4 | C22×D68 | 1 | 3 | yes | — |
| 395 | C2×C4 | C22×D68 | 1 | 1 | yes | characteristic |
| 396 | C2×C4 | C24×D17 | 1 | 1 | yes | characteristic |
| 397 | C8 | — | 2 | 3 | no | — |
| 398 | C8 | — | 2 | 1 | no | — |
| 399 | C8 | — | 2 | 3 | no | — |
| 400 | C8 | #41×D17 | 1 | 2 | yes | — |
| 401 | C22 | — | 2 | 3 | no | — |
| 402 | C22 | — | 2 | 3 | no | — |
| 403 | C22 | — | 2 | 3 | no | — |
| 404 | C22 | — | 68 | 6 | no | — |
| 405 | C22 | — | 68 | 6 | no | — |
| 406 | C22 | — | 68 | 6 | no | — |
| 407 | C22 | C23×D68 | 1 | 1 | yes | characteristic |
| 408 | C4 | — | 2 | 1 | no | — |
| 409 | C4 | — | 2 | 3 | no | — |
| 410 | C4 | — | 2 | 3 | no | — |
| 411 | C4 | — | 34 | 4 | no | — |
| 412 | C4 | — | 68 | 2 | no | — |
| 413 | C4 | — | 68 | 6 | no | — |
| 414 | C4 | C2×#10587590 | 1 | 6 | yes | — |
| 415 | C4 | #11763614 | 1 | 2 | yes | — |
| 416 | C4 | C2×#41×D17 | 1 | 1 | yes | characteristic |
| 417 | C4 | #11763645 | 1 | 1 | yes | characteristic |
| 418 | C2 | — | 4 | 3 | no | — |
| 419 | C2 | — | 136 | 6 | no | — |
| 420 | C2 | #41×D68 | 1 | 1 | yes | characteristic |
| 421 | C2 | C22×#10587590 | 1 | 1 | yes | characteristic |
| 422 | C2 | C2×#11763614 | 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