← #17026223
Subgroups — #17026223
Order 4352.
570 conjugacy classes of subgroups.
The subgroup lattice has 370 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #14541692 | C2 | 1 | 2 | yes | maximal |
| 2 | Q8×Dic68 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #14541177 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #14528402 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #14528313 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #14528188 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #14528183 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #14527926 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #14527920 | C2 | 1 | 2 | yes | maximal |
| 10 | #14527682 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C8×SD16×C17 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | Q8×Dic34 | C22 | 1 | 2 | yes | — |
| 13 | #11763516 | C22 | 1 | 2 | yes | — |
| 14 | #11763216 | — | 2 | 2 | no | — |
| 15 | #11763214 | — | 2 | 1 | no | — |
| 16 | #11763214 | C22 | 1 | 2 | yes | — |
| 17 | #11763214 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11763214 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11763189 | C22 | 1 | 2 | yes | — |
| 20 | #11763145 | — | 2 | 2 | no | — |
| 21 | #11763118 | — | 2 | 2 | no | — |
| 22 | #11763105 | — | 2 | 2 | no | — |
| 23 | #11763105 | C22 | 1 | 2 | yes | — |
| 24 | #11763105 | C22 | 1 | 2 | yes | — |
| 25 | #11763104 | C22 | 1 | 2 | yes | — |
| 26 | #11763099 | C22 | 1 | 2 | yes | — |
| 27 | #11763087 | — | 2 | 2 | no | — |
| 28 | #11763050 | — | 2 | 1 | no | — |
| 29 | #11762939 | C22 | 1 | 2 | yes | — |
| 30 | #11762910 | — | 2 | 2 | no | — |
| 31 | C4×Dic68 | — | 2 | 1 | no | — |
| 32 | C4×Dic68 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#10587489 | — | 2 | 1 | no | — |
| 34 | #11762562 | C22 | 1 | 1 | yes | characteristic |
| 35 | #11762557 | C22 | 1 | 2 | yes | — |
| 36 | #11762557 | C22 | 1 | 2 | yes | — |
| 37 | #11762541 | C22 | 1 | 2 | yes | — |
| 38 | C8×Q8×C17 | C22 | 1 | 1 | yes | characteristic |
| 39 | C4×SD16×C17 | C22 | 1 | 1 | yes | characteristic |
| 40 | C8×D4×C17 | C22 | 1 | 1 | yes | characteristic |
| 41 | C17×#334 | C22 | 1 | 1 | yes | characteristic |
| 42 | C17×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 43 | C17×D4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 44 | C82×C17 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×SD16×C17 | D4 | 1 | 1 | yes | characteristic |
| 46 | C22×C8×C17 | — | 2 | 1 | no | — |
| 47 | C4×Q8×C17 | C23 | 1 | 1 | yes | characteristic |
| 48 | C4×D4×C17 | C23 | 1 | 1 | yes | characteristic |
| 49 | Q8×Dic17 | — | 2 | 2 | no | — |
| 50 | D4×Dic17 | — | 2 | 2 | no | — |
| 51 | C2×C4⋊Dic17 | — | 2 | 2 | no | — |
| 52 | #10587610 | — | 2 | 2 | no | — |
| 53 | C2×Dic68 | — | 4 | 2 | no | — |
| 54 | C2×Dic68 | D4 | 1 | 1 | yes | characteristic |
| 55 | #10587576 | — | 2 | 2 | no | — |
| 56 | #10587574 | — | 2 | 2 | no | — |
| 57 | #10587574 | — | 4 | 2 | no | — |
| 58 | #10587564 | — | 4 | 2 | no | — |
| 59 | #10587555 | — | 2 | 2 | no | — |
| 60 | #10587555 | C23 | 1 | 2 | yes | — |
| 61 | #10587555 | C23 | 1 | 2 | yes | — |
| 62 | C4×Dic34 | — | 2 | 2 | no | — |
| 63 | C4×Dic34 | C23 | 1 | 2 | yes | — |
| 64 | C17×#106 | D4 | 1 | 1 | yes | characteristic |
| 65 | C17×C4⋊C8 | — | 2 | 1 | no | — |
| 66 | C17×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 67 | C17×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 68 | C17×#103 | D4 | 1 | 1 | yes | characteristic |
| 69 | C17×#102 | D4 | 1 | 1 | yes | characteristic |
| 70 | C17×C22⋊C8 | — | 2 | 1 | no | — |
| 71 | C4×C8×C17 | — | 2 | 1 | no | — |
| 72 | C4×C8×C17 | C23 | 1 | 1 | yes | characteristic |
| 73 | C4×C8×C17 | C23 | 1 | 1 | yes | characteristic |
| 74 | C4×C8×C17 | C23 | 1 | 1 | yes | characteristic |
| 75 | #10587506 | — | 2 | 2 | no | — |
| 76 | #10587503 | — | 2 | 2 | no | — |
| 77 | #10587489 | — | 2 | 2 | no | — |
| 78 | #10587489 | — | 2 | 2 | no | — |
| 79 | #10587489 | — | 2 | 1 | no | — |
| 80 | #10587489 | — | 2 | 2 | no | — |
| 81 | #10587489 | — | 2 | 1 | no | — |
| 82 | #10587489 | — | 2 | 2 | no | — |
| 83 | #10587489 | — | 2 | 1 | no | — |
| 84 | #10587489 | — | 2 | 1 | no | — |
| 85 | #10587489 | D4 | 1 | 1 | yes | characteristic |
| 86 | #10587487 | — | 2 | 2 | no | — |
| 87 | #10587487 | — | 2 | 2 | no | — |
| 88 | #10587487 | D4 | 1 | 2 | yes | — |
| 89 | #10587486 | — | 2 | 2 | no | — |
| 90 | #10587485 | — | 2 | 2 | no | — |
| 91 | #10587479 | — | 2 | 2 | no | — |
| 92 | #10587478 | — | 2 | 2 | no | — |
| 93 | C4⋊#3622 | C23 | 1 | 2 | yes | — |
| 94 | C2×Q8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | C2×D4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 96 | C22×C4×C17 | — | 2 | 1 | no | — |
| 97 | C22×Dic17 | — | 4 | 2 | no | — |
| 98 | C2×Dic34 | — | 2 | 2 | no | — |
| 99 | C2×Dic34 | — | 2 | 2 | no | — |
| 100 | C2×Dic34 | — | 4 | 2 | no | — |
| 101 | C2×Dic34 | C2×D4 | 1 | 2 | yes | — |
| 102 | SD16×C17 | Q16 | 1 | 4 | yes | complemented |
| 103 | C2×C8×C17 | — | 2 | 1 | no | — |
| 104 | C2×C8×C17 | — | 2 | 1 | no | — |
| 105 | C2×C8×C17 | — | 2 | 1 | no | — |
| 106 | C2×C8×C17 | — | 4 | 2 | no | — |
| 107 | C2×C8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C2×C8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C2×C8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C2×C8×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | C4⋊C4×C17 | — | 2 | 1 | no | — |
| 112 | C4⋊C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C4⋊C4×C17 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C22⋊C4×C17 | — | 2 | 1 | no | — |
| 115 | C42×C17 | — | 2 | 1 | no | — |
| 116 | C42×C17 | C24 | 1 | 1 | yes | characteristic |
| 117 | C22⋊Dic17 | — | 4 | 2 | no | — |
| 118 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 119 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 120 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 121 | C4⋊Dic17 | — | 2 | 2 | no | — |
| 122 | C4⋊Dic17 | — | 4 | 2 | no | — |
| 123 | C4⋊Dic17 | — | 4 | 2 | no | — |
| 124 | C4⋊Dic17 | C2×D4 | 1 | 2 | yes | — |
| 125 | #63225 | — | 2 | 2 | no | — |
| 126 | #63225 | — | 4 | 2 | no | — |
| 127 | #63225 | — | 4 | 2 | no | — |
| 128 | C4×Dic17 | — | 2 | 2 | no | — |
| 129 | C4×Dic17 | — | 4 | 2 | no | — |
| 130 | C2×#3622 | — | 2 | 2 | no | — |
| 131 | Dic68 | — | 2 | 2 | no | — |
| 132 | Dic68 | — | 8 | 4 | no | — |
| 133 | #19930 | — | 17 | 1 | no | maximal, Sylow |
| 134 | C23×C17 | — | 2 | 1 | no | — |
| 135 | Q8×C17 | — | 2 | 1 | no | — |
| 136 | Q8×C17 | C2×Q16 | 1 | 2 | yes | — |
| 137 | D4×C17 | — | 2 | 1 | no | — |
| 138 | D4×C17 | C2×Q16 | 1 | 2 | yes | — |
| 139 | C2×C4×C17 | — | 2 | 1 | no | — |
| 140 | C2×C4×C17 | — | 2 | 1 | no | — |
| 141 | C2×C4×C17 | — | 2 | 1 | no | — |
| 142 | C2×C4×C17 | — | 4 | 1 | no | — |
| 143 | C2×C4×C17 | — | 4 | 1 | no | — |
| 144 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 145 | C2×C4×C17 | C22×D4 | 1 | 1 | yes | characteristic |
| 146 | C2×C4×C17 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 147 | C2×Dic17 | — | 2 | 2 | no | — |
| 148 | C2×Dic17 | — | 2 | 2 | no | — |
| 149 | C2×Dic17 | — | 4 | 2 | no | — |
| 150 | C2×Dic17 | — | 4 | 2 | no | — |
| 151 | C2×Dic17 | — | 16 | 2 | no | — |
| 152 | Dic34 | — | 2 | 2 | no | — |
| 153 | Dic34 | — | 2 | 2 | no | — |
| 154 | Dic34 | — | 8 | 2 | no | — |
| 155 | Dic34 | — | 8 | 2 | no | — |
| 156 | Dic34 | — | 16 | 2 | no | — |
| 157 | C8×C17 | — | 2 | 2 | no | — |
| 158 | C8×C17 | — | 2 | 1 | no | — |
| 159 | C8×C17 | — | 2 | 1 | no | — |
| 160 | C8×C17 | — | 4 | 1 | no | — |
| 161 | C8×C17 | — | 4 | 1 | no | — |
| 162 | C8×C17 | C2×Q16 | 1 | 2 | yes | — |
| 163 | C8×C17 | #137 | 1 | 2 | yes | — |
| 164 | #3622 | — | 4 | 2 | no | — |
| 165 | #3385 | — | 17 | 2 | no | — |
| 166 | Q8×Q16 | — | 17 | 1 | no | — |
| 167 | #3338 | — | 17 | 1 | no | — |
| 168 | #1713 | — | 17 | 1 | no | — |
| 169 | #1696 | — | 17 | 2 | no | — |
| 170 | #1676 | — | 17 | 1 | no | — |
| 171 | #1675 | — | 17 | 1 | no | — |
| 172 | #1633 | — | 17 | 2 | no | — |
| 173 | #1632 | — | 17 | 2 | no | — |
| 174 | #1591 | — | 17 | 1 | no | — |
| 175 | C8×SD16 | D17 | 1 | 1 | yes | characteristic |
| 176 | C22×C17 | — | 2 | 2 | no | — |
| 177 | C22×C17 | — | 4 | 1 | no | — |
| 178 | C22×C17 | — | 4 | 1 | no | — |
| 179 | C22×C17 | D42 | 1 | 1 | yes | characteristic |
| 180 | C4×C17 | — | 2 | 2 | no | — |
| 181 | C4×C17 | — | 2 | 1 | no | — |
| 182 | C4×C17 | — | 4 | 1 | no | — |
| 183 | C4×C17 | — | 4 | 1 | no | — |
| 184 | C4×C17 | C22×Q16 | 1 | 1 | yes | characteristic |
| 185 | C4×C17 | C2×#137 | 1 | 1 | yes | characteristic |
| 186 | C4×C17 | #578 | 1 | 1 | yes | characteristic |
| 187 | C4×C17 | #578 | 1 | 1 | yes | characteristic |
| 188 | Dic17 | — | 4 | 2 | no | — |
| 189 | Dic17 | — | 4 | 2 | no | — |
| 190 | Dic17 | — | 8 | 2 | no | — |
| 191 | Dic17 | — | 8 | 2 | no | — |
| 192 | Q82 | — | 17 | 2 | no | — |
| 193 | #554 | — | 17 | 2 | no | — |
| 194 | #501 | — | 34 | 2 | no | — |
| 195 | #500 | — | 17 | 1 | no | — |
| 196 | #500 | — | 17 | 1 | no | — |
| 197 | #500 | — | 17 | 2 | no | — |
| 198 | #500 | — | 34 | 1 | no | — |
| 199 | #494 | — | 17 | 2 | no | — |
| 200 | #484 | — | 34 | 2 | no | — |
| 201 | #479 | — | 34 | 2 | no | — |
| 202 | #477 | — | 17 | 2 | no | — |
| 203 | #477 | — | 17 | 2 | no | — |
| 204 | #477 | — | 17 | 2 | no | — |
| 205 | #477 | — | 34 | 2 | no | — |
| 206 | #476 | — | 17 | 2 | no | — |
| 207 | #474 | — | 34 | 2 | no | — |
| 208 | #467 | — | 34 | 1 | no | — |
| 209 | #446 | — | 17 | 2 | no | — |
| 210 | C8×Q8 | C2×D17 | 1 | 1 | yes | characteristic |
| 211 | #440 | — | 34 | 2 | no | — |
| 212 | C4×Q16 | — | 17 | 1 | no | — |
| 213 | C4×Q16 | — | 34 | 1 | no | — |
| 214 | C4×SD16 | C2×D17 | 1 | 1 | yes | characteristic |
| 215 | C8×D4 | C2×D17 | 1 | 1 | yes | characteristic |
| 216 | C2×#107 | — | 34 | 1 | no | — |
| 217 | #335 | — | 17 | 1 | no | — |
| 218 | #334 | C2×D17 | 1 | 1 | yes | characteristic |
| 219 | #333 | — | 17 | 2 | no | — |
| 220 | #333 | — | 17 | 2 | no | — |
| 221 | Q8⋊C8 | — | 17 | 2 | no | — |
| 222 | Q8⋊C8 | C2×D17 | 1 | 1 | yes | characteristic |
| 223 | D4⋊C8 | C2×D17 | 1 | 1 | yes | characteristic |
| 224 | C82 | C2×D17 | 1 | 1 | yes | characteristic |
| 225 | C2×C17 | — | 4 | 2 | no | — |
| 226 | C2×C17 | #3276 | 1 | 1 | yes | characteristic |
| 227 | C2×C17 | D4×Q16 | 1 | 1 | yes | characteristic |
| 228 | C2×C17 | #3292 | 1 | 1 | yes | characteristic |
| 229 | C2×Q16 | — | 17 | 1 | no | — |
| 230 | C2×Q16 | — | 68 | 2 | no | — |
| 231 | C2×SD16 | D68 | 1 | 1 | yes | characteristic |
| 232 | C22×C8 | — | 2 | 1 | no | — |
| 233 | C4⋊Q8 | — | 17 | 2 | no | — |
| 234 | C4⋊Q8 | — | 17 | 2 | no | — |
| 235 | C4⋊Q8 | — | 34 | 2 | no | — |
| 236 | C4⋊Q8 | — | 34 | 2 | no | — |
| 237 | C4⋊Q8 | — | 68 | 2 | no | — |
| 238 | #125 | — | 34 | 2 | no | — |
| 239 | C22⋊Q8 | — | 34 | 2 | no | — |
| 240 | C22⋊Q8 | — | 68 | 2 | no | — |
| 241 | C4×Q8 | — | 17 | 2 | no | — |
| 242 | C4×Q8 | — | 34 | 2 | no | — |
| 243 | C4×Q8 | — | 34 | 2 | no | — |
| 244 | C4×Q8 | C22×D17 | 1 | 1 | yes | characteristic |
| 245 | C4×D4 | — | 34 | 2 | no | — |
| 246 | C4×D4 | C22×D17 | 1 | 1 | yes | characteristic |
| 247 | C2×C4⋊C4 | — | 34 | 2 | no | — |
| 248 | #107 | — | 17 | 1 | no | — |
| 249 | #107 | — | 34 | 2 | no | — |
| 250 | #107 | — | 34 | 2 | no | — |
| 251 | #107 | — | 34 | 2 | no | — |
| 252 | #107 | — | 34 | 2 | no | — |
| 253 | #107 | — | 34 | 1 | no | — |
| 254 | #107 | — | 34 | 1 | no | — |
| 255 | #107 | — | 34 | 1 | no | — |
| 256 | #107 | — | 34 | 1 | no | — |
| 257 | #107 | — | 34 | 2 | no | — |
| 258 | #106 | — | 34 | 2 | no | — |
| 259 | #106 | D68 | 1 | 1 | yes | characteristic |
| 260 | C4⋊C8 | — | 2 | 1 | no | — |
| 261 | C4⋊C8 | — | 17 | 2 | no | — |
| 262 | C4⋊C8 | — | 34 | 2 | no | — |
| 263 | C4⋊C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 264 | C4⋊C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 265 | #103 | — | 17 | 2 | no | — |
| 266 | #103 | — | 34 | 2 | no | — |
| 267 | #103 | — | 34 | 2 | no | — |
| 268 | #103 | — | 34 | 2 | no | — |
| 269 | #103 | D68 | 1 | 1 | yes | characteristic |
| 270 | #102 | — | 34 | 2 | no | — |
| 271 | #102 | D68 | 1 | 1 | yes | characteristic |
| 272 | C22⋊C8 | — | 2 | 1 | no | — |
| 273 | #97 | — | 34 | 2 | no | — |
| 274 | C4×C8 | — | 2 | 1 | no | — |
| 275 | C4×C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 276 | C4×C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 277 | C4×C8 | C22×D17 | 1 | 1 | yes | characteristic |
| 278 | C17 | #19930 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 279 | C2×Q8 | — | 17 | 2 | no | — |
| 280 | C2×Q8 | — | 34 | 2 | no | — |
| 281 | C2×Q8 | — | 34 | 2 | no | — |
| 282 | C2×Q8 | — | 68 | 2 | no | — |
| 283 | C2×Q8 | C2×D68 | 1 | 1 | yes | characteristic |
| 284 | C2×D4 | C2×D68 | 1 | 1 | yes | characteristic |
| 285 | C22×C4 | — | 2 | 1 | no | — |
| 286 | C22×C4 | — | 68 | 2 | no | — |
| 287 | Q16 | — | 34 | 2 | no | — |
| 288 | Q16 | — | 136 | 4 | no | — |
| 289 | SD16 | Dic68 | 1 | 4 | yes | complemented |
| 290 | C2×C8 | — | 2 | 1 | no | — |
| 291 | C2×C8 | — | 2 | 1 | no | — |
| 292 | C2×C8 | — | 2 | 1 | no | — |
| 293 | C2×C8 | — | 4 | 2 | no | — |
| 294 | C2×C8 | — | 34 | 2 | no | — |
| 295 | C2×C8 | C2×D68 | 1 | 1 | yes | characteristic |
| 296 | C2×C8 | C2×D68 | 1 | 1 | yes | characteristic |
| 297 | C2×C8 | D4×D17 | 1 | 1 | yes | characteristic |
| 298 | C2×C8 | D4×D17 | 1 | 1 | yes | characteristic |
| 299 | C4⋊C4 | — | 2 | 1 | no | — |
| 300 | C4⋊C4 | — | 17 | 2 | no | — |
| 301 | C4⋊C4 | — | 34 | 2 | no | — |
| 302 | C4⋊C4 | — | 34 | 2 | no | — |
| 303 | C4⋊C4 | — | 34 | 2 | no | — |
| 304 | C4⋊C4 | — | 34 | 2 | no | — |
| 305 | C4⋊C4 | — | 34 | 2 | no | — |
| 306 | C4⋊C4 | — | 68 | 2 | no | — |
| 307 | C4⋊C4 | — | 68 | 2 | no | — |
| 308 | C4⋊C4 | — | 68 | 2 | no | — |
| 309 | C4⋊C4 | — | 68 | 2 | no | — |
| 310 | C4⋊C4 | C2×D68 | 1 | 1 | yes | characteristic |
| 311 | C4⋊C4 | C2×D68 | 1 | 1 | yes | characteristic |
| 312 | C22⋊C4 | — | 2 | 1 | no | — |
| 313 | C22⋊C4 | — | 68 | 2 | no | — |
| 314 | C42 | — | 2 | 1 | no | — |
| 315 | C42 | — | 34 | 2 | no | — |
| 316 | C42 | — | 68 | 2 | no | — |
| 317 | C42 | C23×D17 | 1 | 1 | yes | characteristic |
| 318 | C23 | — | 2 | 1 | no | — |
| 319 | Q8 | — | 2 | 1 | no | — |
| 320 | Q8 | — | 272 | 2 | no | — |
| 321 | Q8 | — | 34 | 2 | no | — |
| 322 | Q8 | — | 34 | 2 | no | — |
| 323 | Q8 | — | 136 | 2 | no | — |
| 324 | Q8 | — | 136 | 2 | no | — |
| 325 | Q8 | C2×Dic68 | 1 | 2 | yes | — |
| 326 | D4 | — | 2 | 1 | no | — |
| 327 | D4 | C2×Dic68 | 1 | 2 | yes | — |
| 328 | C2×C4 | — | 2 | 1 | no | — |
| 329 | C2×C4 | — | 2 | 1 | no | — |
| 330 | C2×C4 | — | 2 | 1 | no | — |
| 331 | C2×C4 | — | 4 | 1 | no | — |
| 332 | C2×C4 | — | 4 | 1 | no | — |
| 333 | C2×C4 | — | 272 | 2 | no | — |
| 334 | C2×C4 | — | 34 | 2 | no | — |
| 335 | C2×C4 | — | 34 | 2 | no | — |
| 336 | C2×C4 | — | 68 | 2 | no | — |
| 337 | C2×C4 | — | 68 | 2 | no | — |
| 338 | C2×C4 | C22×D68 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | C2×D4×D17 | 1 | 1 | yes | characteristic |
| 340 | C2×C4 | #10587696 | 1 | 1 | yes | characteristic |
| 341 | C8 | — | 2 | 2 | no | — |
| 342 | C8 | — | 2 | 1 | no | — |
| 343 | C8 | — | 2 | 1 | no | — |
| 344 | C8 | — | 4 | 1 | no | — |
| 345 | C8 | — | 4 | 1 | no | — |
| 346 | C8 | — | 68 | 2 | no | — |
| 347 | C8 | C2×Dic68 | 1 | 2 | yes | — |
| 348 | C8 | #10587601 | 1 | 2 | yes | — |
| 349 | C22 | — | 2 | 2 | no | — |
| 350 | C22 | — | 4 | 1 | no | — |
| 351 | C22 | — | 4 | 1 | no | — |
| 352 | C22 | D4×D68 | 1 | 1 | yes | characteristic |
| 353 | C4 | — | 2 | 1 | no | — |
| 354 | C4 | — | 2 | 2 | no | — |
| 355 | C4 | — | 4 | 1 | no | — |
| 356 | C4 | — | 4 | 1 | no | — |
| 357 | C4 | — | 68 | 2 | no | — |
| 358 | C4 | — | 68 | 2 | no | — |
| 359 | C4 | — | 136 | 2 | no | — |
| 360 | C4 | — | 136 | 2 | no | — |
| 361 | C4 | C22×Dic68 | 1 | 1 | yes | characteristic |
| 362 | C4 | C2×#10587601 | 1 | 1 | yes | characteristic |
| 363 | C4 | #11763623 | 1 | 1 | yes | characteristic |
| 364 | C4 | #11763626 | 1 | 1 | yes | characteristic |
| 365 | C2 | — | 4 | 2 | no | — |
| 366 | C2 | #14540431 | 1 | 1 | yes | characteristic |
| 367 | C2 | D4×Dic68 | 1 | 1 | yes | characteristic |
| 368 | C2 | #14540584 | 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