← #14745646
Subgroups — #14745646
Order 2816.
622 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13081622 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13081535 | C2 | 1 | 2 | yes | maximal |
| 3 | D4×Dic44 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13068234 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13068135 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13067986 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13067981 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #13067868 | C2 | 1 | 2 | yes | maximal |
| 9 | #13067861 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13067514 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C8×C11×SD16 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | C22×Dic44 | — | 2 | 1 | no | — |
| 13 | #10623101 | C22 | 1 | 2 | yes | — |
| 14 | D4×Dic22 | C22 | 1 | 2 | yes | — |
| 15 | C8×Q8×C11 | C22 | 1 | 1 | yes | characteristic |
| 16 | C4×C11×SD16 | C22 | 1 | 1 | yes | characteristic |
| 17 | C8×D4×C11 | C22 | 1 | 1 | yes | characteristic |
| 18 | #10622777 | — | 2 | 2 | no | — |
| 19 | #10622729 | — | 2 | 1 | no | — |
| 20 | #10622633 | C22 | 1 | 2 | yes | — |
| 21 | #10622620 | C22 | 1 | 2 | yes | — |
| 22 | #10622469 | — | 2 | 2 | no | — |
| 23 | #10622462 | — | 2 | 2 | no | — |
| 24 | #10622462 | C22 | 1 | 2 | yes | — |
| 25 | #10622462 | C22 | 1 | 2 | yes | — |
| 26 | #10622407 | — | 2 | 2 | no | — |
| 27 | #10622379 | — | 2 | 2 | no | — |
| 28 | #10622352 | — | 2 | 2 | no | — |
| 29 | #10622312 | — | 2 | 1 | no | — |
| 30 | #10622312 | C22 | 1 | 1 | yes | characteristic |
| 31 | #10622312 | C22 | 1 | 1 | yes | characteristic |
| 32 | C4×Dic44 | — | 2 | 1 | no | — |
| 33 | C4×Dic44 | C22 | 1 | 1 | yes | characteristic |
| 34 | #10622295 | C22 | 1 | 2 | yes | — |
| 35 | #10622295 | C22 | 1 | 2 | yes | — |
| 36 | #10622292 | C22 | 1 | 2 | yes | — |
| 37 | C11×#334 | C22 | 1 | 1 | yes | characteristic |
| 38 | C11×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 39 | C11×D4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 40 | C82×C11 | C22 | 1 | 1 | yes | characteristic |
| 41 | #10622120 | C22 | 1 | 2 | yes | — |
| 42 | #10622120 | C22 | 1 | 2 | yes | — |
| 43 | #10622096 | C22 | 1 | 1 | yes | characteristic |
| 44 | #10622094 | C22 | 1 | 2 | yes | — |
| 45 | C22×Dic22 | — | 2 | 2 | no | — |
| 46 | C2×C11×SD16 | D4 | 1 | 1 | yes | characteristic |
| 47 | C22×C8×C11 | — | 2 | 1 | no | — |
| 48 | C4×Q8×C11 | C23 | 1 | 1 | yes | characteristic |
| 49 | C4×D4×C11 | C23 | 1 | 1 | yes | characteristic |
| 50 | Q8×Dic11 | — | 2 | 2 | no | — |
| 51 | D4×Dic11 | — | 2 | 2 | no | — |
| 52 | #66977 | — | 2 | 2 | no | — |
| 53 | C2×Dic44 | — | 2 | 2 | no | — |
| 54 | C2×Dic44 | — | 2 | 1 | no | — |
| 55 | C2×Dic44 | — | 2 | 1 | no | — |
| 56 | C2×Dic44 | — | 2 | 2 | no | — |
| 57 | C2×Dic44 | — | 2 | 1 | no | — |
| 58 | C2×Dic44 | — | 2 | 1 | no | — |
| 59 | C2×Dic44 | — | 4 | 4 | no | — |
| 60 | C2×Dic44 | D4 | 1 | 1 | yes | characteristic |
| 61 | #66943 | — | 2 | 2 | no | — |
| 62 | #66943 | — | 4 | 2 | no | — |
| 63 | #66941 | — | 2 | 2 | no | — |
| 64 | #66931 | — | 4 | 2 | no | — |
| 65 | #66922 | — | 2 | 2 | no | — |
| 66 | #66922 | C23 | 1 | 2 | yes | — |
| 67 | #66922 | C23 | 1 | 2 | yes | — |
| 68 | C4×Dic22 | — | 2 | 2 | no | — |
| 69 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 70 | C11×#106 | D4 | 1 | 1 | yes | characteristic |
| 71 | C11×C4⋊C8 | — | 2 | 1 | no | — |
| 72 | C11×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 73 | C11×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 74 | C11×#103 | D4 | 1 | 1 | yes | characteristic |
| 75 | C11×#102 | D4 | 1 | 1 | yes | characteristic |
| 76 | C11×C22⋊C8 | — | 2 | 1 | no | — |
| 77 | C4×C8×C11 | — | 2 | 1 | no | — |
| 78 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 79 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 80 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 81 | #66899 | — | 2 | 2 | no | — |
| 82 | #66896 | — | 2 | 2 | no | — |
| 83 | #66882 | — | 2 | 2 | no | — |
| 84 | #66882 | — | 2 | 2 | no | — |
| 85 | #66882 | — | 4 | 2 | no | — |
| 86 | #66882 | D4 | 1 | 1 | yes | characteristic |
| 87 | #66880 | — | 2 | 2 | no | — |
| 88 | #66880 | — | 2 | 2 | no | — |
| 89 | #66880 | D4 | 1 | 2 | yes | — |
| 90 | #66879 | — | 2 | 2 | no | — |
| 91 | Dic11⋊C8 | — | 2 | 2 | no | — |
| 92 | #66872 | — | 2 | 2 | no | — |
| 93 | #66871 | — | 2 | 2 | no | — |
| 94 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 95 | #19928 | — | 11 | 1 | no | maximal, Sylow |
| 96 | C2×Q8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C2×D4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C22×C4×C11 | — | 2 | 1 | no | — |
| 99 | C22×Dic11 | — | 4 | 2 | no | — |
| 100 | C2×Dic22 | — | 2 | 2 | no | — |
| 101 | C2×Dic22 | — | 2 | 2 | no | — |
| 102 | C2×Dic22 | — | 4 | 2 | no | — |
| 103 | C2×Dic22 | — | 4 | 4 | no | — |
| 104 | C2×Dic22 | — | 8 | 2 | no | — |
| 105 | C2×Dic22 | C2×D4 | 1 | 2 | yes | — |
| 106 | C11×SD16 | Q16 | 1 | 4 | yes | complemented |
| 107 | C2×C8×C11 | — | 2 | 1 | no | — |
| 108 | C2×C8×C11 | — | 2 | 1 | no | — |
| 109 | C2×C8×C11 | — | 2 | 1 | no | — |
| 110 | C2×C8×C11 | — | 4 | 2 | no | — |
| 111 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C11×C4⋊C4 | — | 2 | 1 | no | — |
| 116 | C11×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C11×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C11×C22⋊C4 | — | 2 | 1 | no | — |
| 119 | C42×C11 | — | 2 | 1 | no | — |
| 120 | C42×C11 | C24 | 1 | 1 | yes | characteristic |
| 121 | C22⋊Dic11 | — | 4 | 2 | no | — |
| 122 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 123 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 124 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 125 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 126 | C4⋊Dic11 | — | 4 | 2 | no | — |
| 127 | C4⋊Dic11 | — | 4 | 2 | no | — |
| 128 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 129 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 130 | Dic11⋊C4 | — | 4 | 2 | no | — |
| 131 | Dic11⋊C4 | — | 4 | 2 | no | — |
| 132 | C4×Dic11 | — | 2 | 2 | no | — |
| 133 | C4×Dic11 | — | 4 | 2 | no | — |
| 134 | C2×C11⋊C8 | — | 2 | 2 | no | — |
| 135 | Dic44 | — | 2 | 2 | no | — |
| 136 | Dic44 | — | 4 | 4 | no | — |
| 137 | Dic44 | — | 4 | 2 | no | — |
| 138 | Dic44 | — | 4 | 2 | no | — |
| 139 | Dic44 | — | 8 | 1 | no | — |
| 140 | Dic44 | — | 8 | 1 | no | — |
| 141 | Dic44 | — | 8 | 2 | no | — |
| 142 | #3395 | — | 11 | 1 | no | — |
| 143 | #3386 | — | 11 | 2 | no | — |
| 144 | D4×Q16 | — | 11 | 1 | no | — |
| 145 | #1713 | — | 11 | 1 | no | — |
| 146 | #1694 | — | 11 | 2 | no | — |
| 147 | #1670 | — | 11 | 1 | no | — |
| 148 | #1669 | — | 11 | 1 | no | — |
| 149 | #1649 | — | 11 | 2 | no | — |
| 150 | #1648 | — | 11 | 2 | no | — |
| 151 | #1591 | — | 11 | 1 | no | — |
| 152 | C8×SD16 | D11 | 1 | 1 | yes | characteristic |
| 153 | C23×C11 | — | 2 | 1 | no | — |
| 154 | Q8×C11 | — | 2 | 1 | no | — |
| 155 | Q8×C11 | C2×Q16 | 1 | 2 | yes | complemented |
| 156 | D4×C11 | — | 2 | 1 | no | — |
| 157 | D4×C11 | C2×Q16 | 1 | 2 | yes | — |
| 158 | C2×C4×C11 | — | 2 | 1 | no | — |
| 159 | C2×C4×C11 | — | 2 | 1 | no | — |
| 160 | C2×C4×C11 | — | 2 | 1 | no | — |
| 161 | C2×C4×C11 | — | 4 | 1 | no | — |
| 162 | C2×C4×C11 | — | 4 | 1 | no | — |
| 163 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 164 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×C11 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 166 | C2×Dic11 | — | 2 | 2 | no | — |
| 167 | C2×Dic11 | — | 2 | 2 | no | — |
| 168 | C2×Dic11 | — | 4 | 2 | no | — |
| 169 | C2×Dic11 | — | 4 | 2 | no | — |
| 170 | C2×Dic11 | — | 8 | 4 | no | — |
| 171 | Dic22 | — | 2 | 2 | no | — |
| 172 | Dic22 | — | 2 | 2 | no | — |
| 173 | Dic22 | — | 4 | 2 | no | — |
| 174 | Dic22 | — | 4 | 2 | no | — |
| 175 | Dic22 | — | 4 | 2 | no | — |
| 176 | Dic22 | — | 4 | 2 | no | — |
| 177 | Dic22 | — | 8 | 4 | no | — |
| 178 | C8×C11 | — | 2 | 2 | no | — |
| 179 | C8×C11 | — | 2 | 1 | no | — |
| 180 | C8×C11 | — | 2 | 1 | no | — |
| 181 | C8×C11 | — | 4 | 1 | no | — |
| 182 | C8×C11 | — | 4 | 1 | no | — |
| 183 | C8×C11 | C2×Q16 | 1 | 2 | yes | complemented |
| 184 | C8×C11 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 185 | C11⋊C8 | — | 4 | 2 | no | — |
| 186 | C22×Q16 | — | 22 | 1 | no | — |
| 187 | #557 | — | 11 | 2 | no | — |
| 188 | D4×Q8 | — | 11 | 2 | no | — |
| 189 | #501 | — | 22 | 2 | no | — |
| 190 | #500 | — | 11 | 2 | no | — |
| 191 | #500 | — | 11 | 2 | no | — |
| 192 | #494 | — | 11 | 1 | no | — |
| 193 | #494 | — | 11 | 1 | no | — |
| 194 | #494 | — | 22 | 1 | no | — |
| 195 | #478 | — | 22 | 2 | no | — |
| 196 | #477 | — | 22 | 2 | no | — |
| 197 | #475 | — | 11 | 2 | no | — |
| 198 | #474 | — | 11 | 2 | no | — |
| 199 | #467 | — | 22 | 1 | no | — |
| 200 | #462 | — | 11 | 2 | no | — |
| 201 | #462 | — | 11 | 2 | no | — |
| 202 | #462 | — | 22 | 2 | no | — |
| 203 | #451 | — | 22 | 2 | no | — |
| 204 | #446 | — | 11 | 2 | no | — |
| 205 | C8×Q8 | C2×D11 | 1 | 1 | yes | characteristic |
| 206 | #440 | — | 22 | 2 | no | — |
| 207 | C4×Q16 | — | 11 | 1 | no | — |
| 208 | C4×Q16 | — | 22 | 1 | no | — |
| 209 | C4×SD16 | C2×D11 | 1 | 1 | yes | characteristic |
| 210 | C8×D4 | C2×D11 | 1 | 1 | yes | characteristic |
| 211 | #335 | — | 11 | 1 | no | — |
| 212 | #334 | C2×D11 | 1 | 1 | yes | characteristic |
| 213 | #332 | — | 11 | 2 | no | — |
| 214 | #332 | — | 11 | 2 | no | — |
| 215 | Q8⋊C8 | — | 11 | 2 | no | — |
| 216 | Q8⋊C8 | C2×D11 | 1 | 1 | yes | characteristic |
| 217 | D4⋊C8 | C2×D11 | 1 | 1 | yes | characteristic |
| 218 | C82 | C2×D11 | 1 | 1 | yes | characteristic |
| 219 | C22×C11 | — | 2 | 2 | no | — |
| 220 | C22×C11 | — | 4 | 1 | no | — |
| 221 | C22×C11 | — | 4 | 1 | no | — |
| 222 | C22×C11 | D42 | 1 | 1 | yes | characteristic |
| 223 | C4×C11 | — | 2 | 2 | no | — |
| 224 | C4×C11 | — | 2 | 1 | no | — |
| 225 | C4×C11 | — | 4 | 1 | no | — |
| 226 | C4×C11 | — | 4 | 1 | no | — |
| 227 | C4×C11 | C22×Q16 | 1 | 1 | yes | characteristic |
| 228 | C4×C11 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 229 | C4×C11 | #576 | 1 | 1 | yes | characteristic |
| 230 | C4×C11 | #578 | 1 | 1 | yes | characteristic |
| 231 | Dic11 | — | 4 | 2 | no | — |
| 232 | Dic11 | — | 4 | 2 | no | — |
| 233 | Dic11 | — | 8 | 2 | no | — |
| 234 | Dic11 | — | 8 | 2 | no | — |
| 235 | C22×Q8 | — | 22 | 2 | no | — |
| 236 | C2×Q16 | — | 11 | 1 | no | — |
| 237 | C2×Q16 | — | 22 | 2 | no | — |
| 238 | C2×Q16 | — | 22 | 2 | no | — |
| 239 | C2×Q16 | — | 22 | 1 | no | — |
| 240 | C2×Q16 | — | 22 | 1 | no | — |
| 241 | C2×Q16 | — | 22 | 1 | no | — |
| 242 | C2×Q16 | — | 22 | 1 | no | — |
| 243 | C2×Q16 | — | 44 | 4 | no | — |
| 244 | C2×SD16 | D44 | 1 | 1 | yes | characteristic |
| 245 | C22×C8 | — | 2 | 1 | no | — |
| 246 | C4⋊Q8 | — | 11 | 2 | no | — |
| 247 | C4⋊Q8 | — | 11 | 2 | no | — |
| 248 | C4⋊Q8 | — | 22 | 2 | no | — |
| 249 | C4⋊Q8 | — | 22 | 2 | no | — |
| 250 | #125 | — | 22 | 2 | no | — |
| 251 | #125 | — | 44 | 2 | no | — |
| 252 | C22⋊Q8 | — | 22 | 2 | no | — |
| 253 | C22⋊Q8 | — | 44 | 2 | no | — |
| 254 | C4×Q8 | — | 11 | 2 | no | — |
| 255 | C4×Q8 | — | 22 | 2 | no | — |
| 256 | C4×Q8 | — | 22 | 2 | no | — |
| 257 | C4×Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 258 | C4×D4 | — | 22 | 2 | no | — |
| 259 | C4×D4 | C22×D11 | 1 | 1 | yes | characteristic |
| 260 | #107 | — | 11 | 1 | no | — |
| 261 | #107 | — | 22 | 2 | no | — |
| 262 | #107 | — | 22 | 2 | no | — |
| 263 | #107 | — | 22 | 2 | no | — |
| 264 | #107 | — | 44 | 2 | no | — |
| 265 | #106 | — | 22 | 2 | no | — |
| 266 | #106 | D44 | 1 | 1 | yes | characteristic |
| 267 | C4⋊C8 | — | 2 | 1 | no | — |
| 268 | C4⋊C8 | — | 11 | 2 | no | — |
| 269 | C4⋊C8 | — | 22 | 2 | no | — |
| 270 | C4⋊C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 271 | C4⋊C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 272 | #103 | — | 11 | 2 | no | — |
| 273 | #103 | — | 22 | 2 | no | — |
| 274 | #103 | — | 22 | 2 | no | — |
| 275 | #103 | — | 22 | 2 | no | — |
| 276 | #103 | D44 | 1 | 1 | yes | characteristic |
| 277 | #102 | — | 22 | 2 | no | — |
| 278 | #102 | D44 | 1 | 1 | yes | characteristic |
| 279 | C22⋊C8 | — | 2 | 1 | no | — |
| 280 | #97 | — | 22 | 2 | no | — |
| 281 | C4×C8 | — | 2 | 1 | no | — |
| 282 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 283 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 284 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 285 | C2×C11 | — | 4 | 2 | no | — |
| 286 | C2×C11 | #3274 | 1 | 1 | yes | characteristic |
| 287 | C2×C11 | D4×Q16 | 1 | 1 | yes | characteristic |
| 288 | C2×C11 | #3293 | 1 | 1 | yes | characteristic |
| 289 | C2×Q8 | — | 11 | 2 | no | — |
| 290 | C2×Q8 | — | 22 | 2 | no | — |
| 291 | C2×Q8 | — | 22 | 2 | no | — |
| 292 | C2×Q8 | — | 44 | 2 | no | — |
| 293 | C2×Q8 | — | 44 | 4 | no | — |
| 294 | C2×Q8 | — | 88 | 2 | no | — |
| 295 | C2×Q8 | C2×D44 | 1 | 1 | yes | characteristic |
| 296 | C2×D4 | C2×D44 | 1 | 1 | yes | characteristic |
| 297 | C22×C4 | — | 2 | 1 | no | — |
| 298 | C22×C4 | — | 44 | 2 | no | — |
| 299 | Q16 | — | 22 | 2 | no | — |
| 300 | Q16 | — | 44 | 4 | no | — |
| 301 | Q16 | — | 44 | 2 | no | — |
| 302 | Q16 | — | 44 | 2 | no | — |
| 303 | Q16 | — | 88 | 1 | no | — |
| 304 | Q16 | — | 88 | 1 | no | — |
| 305 | Q16 | — | 88 | 2 | no | — |
| 306 | SD16 | Dic44 | 1 | 4 | yes | complemented |
| 307 | C2×C8 | — | 2 | 1 | no | — |
| 308 | C2×C8 | — | 2 | 1 | no | — |
| 309 | C2×C8 | — | 2 | 1 | no | — |
| 310 | C2×C8 | — | 4 | 2 | no | — |
| 311 | C2×C8 | — | 22 | 2 | no | — |
| 312 | C2×C8 | C2×D44 | 1 | 1 | yes | characteristic |
| 313 | C2×C8 | C2×D44 | 1 | 1 | yes | characteristic |
| 314 | C2×C8 | D4×D11 | 1 | 1 | yes | characteristic |
| 315 | C2×C8 | D4×D11 | 1 | 1 | yes | characteristic |
| 316 | C4⋊C4 | — | 2 | 1 | no | — |
| 317 | C4⋊C4 | — | 11 | 2 | no | — |
| 318 | C4⋊C4 | — | 22 | 2 | no | — |
| 319 | C4⋊C4 | — | 22 | 2 | no | — |
| 320 | C4⋊C4 | — | 22 | 2 | no | — |
| 321 | C4⋊C4 | — | 22 | 2 | no | — |
| 322 | C4⋊C4 | — | 22 | 2 | no | — |
| 323 | C4⋊C4 | — | 44 | 2 | no | — |
| 324 | C4⋊C4 | — | 44 | 2 | no | — |
| 325 | C4⋊C4 | — | 44 | 2 | no | — |
| 326 | C4⋊C4 | — | 44 | 2 | no | — |
| 327 | C4⋊C4 | C2×D44 | 1 | 1 | yes | characteristic |
| 328 | C4⋊C4 | C2×D44 | 1 | 1 | yes | characteristic |
| 329 | C22⋊C4 | — | 2 | 1 | no | — |
| 330 | C22⋊C4 | — | 44 | 2 | no | — |
| 331 | C42 | — | 2 | 1 | no | — |
| 332 | C42 | — | 22 | 2 | no | — |
| 333 | C42 | — | 44 | 2 | no | — |
| 334 | C42 | C23×D11 | 1 | 1 | yes | characteristic |
| 335 | C11 | #19928 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 336 | C23 | — | 2 | 1 | no | — |
| 337 | Q8 | — | 2 | 1 | no | — |
| 338 | Q8 | — | 22 | 2 | no | — |
| 339 | Q8 | — | 22 | 2 | no | — |
| 340 | Q8 | — | 44 | 2 | no | — |
| 341 | Q8 | — | 44 | 2 | no | — |
| 342 | Q8 | — | 44 | 2 | no | — |
| 343 | Q8 | — | 44 | 2 | no | — |
| 344 | Q8 | — | 88 | 4 | no | — |
| 345 | Q8 | C2×Dic44 | 1 | 2 | yes | complemented |
| 346 | D4 | — | 2 | 1 | no | — |
| 347 | D4 | C2×Dic44 | 1 | 2 | yes | — |
| 348 | C2×C4 | — | 2 | 1 | no | — |
| 349 | C2×C4 | — | 2 | 1 | no | — |
| 350 | C2×C4 | — | 2 | 1 | no | — |
| 351 | C2×C4 | — | 4 | 1 | no | — |
| 352 | C2×C4 | — | 4 | 1 | no | — |
| 353 | C2×C4 | — | 22 | 2 | no | — |
| 354 | C2×C4 | — | 22 | 2 | no | — |
| 355 | C2×C4 | — | 44 | 2 | no | — |
| 356 | C2×C4 | — | 44 | 2 | no | — |
| 357 | C2×C4 | — | 88 | 4 | no | — |
| 358 | C2×C4 | C22×D44 | 1 | 1 | yes | characteristic |
| 359 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 360 | C2×C4 | #67042 | 1 | 1 | yes | characteristic |
| 361 | C8 | — | 2 | 2 | no | — |
| 362 | C8 | — | 2 | 1 | no | — |
| 363 | C8 | — | 2 | 1 | no | — |
| 364 | C8 | — | 4 | 1 | no | — |
| 365 | C8 | — | 4 | 1 | no | — |
| 366 | C8 | — | 44 | 2 | no | — |
| 367 | C8 | C2×Dic44 | 1 | 2 | yes | complemented |
| 368 | C8 | #66967 | 1 | 2 | yes | — |
| 369 | C22 | — | 2 | 2 | no | — |
| 370 | C22 | — | 4 | 1 | no | — |
| 371 | C22 | — | 4 | 1 | no | — |
| 372 | C22 | D4×D44 | 1 | 1 | yes | characteristic |
| 373 | C4 | — | 2 | 2 | no | — |
| 374 | C4 | — | 2 | 1 | no | — |
| 375 | C4 | — | 4 | 1 | no | — |
| 376 | C4 | — | 4 | 1 | no | — |
| 377 | C4 | — | 44 | 2 | no | — |
| 378 | C4 | — | 44 | 2 | no | — |
| 379 | C4 | — | 88 | 2 | no | — |
| 380 | C4 | — | 88 | 2 | no | — |
| 381 | C4 | C22×Dic44 | 1 | 1 | yes | characteristic |
| 382 | C4 | #10623284 | 1 | 1 | yes | characteristic |
| 383 | C4 | C2×#66967 | 1 | 1 | yes | characteristic |
| 384 | C4 | #10623300 | 1 | 1 | yes | characteristic |
| 385 | C2 | — | 4 | 2 | no | — |
| 386 | C2 | #13080237 | 1 | 1 | yes | characteristic |
| 387 | C2 | D4×Dic44 | 1 | 1 | yes | characteristic |
| 388 | C2 | #13080421 | 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