← #46825130
Subgroups — #46825130
Order 34432.
1014 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 | #31771356 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #31771297 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #31771290 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #31771281 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | Q8×C22⋊D269 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #31771268 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #31771236 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #31771234 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #31771215 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #31771204 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #31771202 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #31771178 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #31771116 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | C2×#22575432 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×C22⋊Q8×C269 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#16864402 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×Dic538 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×Q8×D269 | C22 | 1 | 2 | yes | complemented |
| 19 | #22575452 | C22 | 1 | 4 | yes | complemented |
| 20 | #22575452 | C22 | 1 | 4 | yes | complemented |
| 21 | #22575451 | C22 | 1 | 2 | yes | complemented |
| 22 | #22575451 | C22 | 1 | 4 | yes | complemented |
| 23 | #22575448 | C22 | 1 | 4 | yes | complemented |
| 24 | #22575448 | C22 | 1 | 4 | yes | complemented |
| 25 | #22575446 | C22 | 1 | 4 | yes | — |
| 26 | #22575446 | C22 | 1 | 4 | yes | — |
| 27 | #22575444 | C22 | 1 | 4 | yes | complemented |
| 28 | #22575444 | C22 | 1 | 2 | yes | complemented |
| 29 | #22575444 | C22 | 1 | 4 | yes | complemented |
| 30 | #22575443 | C22 | 1 | 4 | yes | complemented |
| 31 | #22575443 | C22 | 1 | 4 | yes | complemented |
| 32 | #22575439 | C22 | 1 | 4 | yes | — |
| 33 | #22575438 | C22 | 1 | 4 | yes | complemented |
| 34 | #22575437 | C22 | 1 | 4 | yes | — |
| 35 | #22575436 | C22 | 1 | 4 | yes | — |
| 36 | #22575436 | C22 | 1 | 2 | yes | — |
| 37 | #22575435 | C22 | 1 | 4 | yes | — |
| 38 | #22575433 | C22 | 1 | 2 | yes | complemented |
| 39 | #22575432 | C22 | 1 | 2 | yes | — |
| 40 | #22575432 | C22 | 1 | 2 | yes | — |
| 41 | #22575432 | C22 | 1 | 1 | yes | characteristic |
| 42 | #22575432 | C22 | 1 | 1 | yes | characteristic |
| 43 | #22575432 | C22 | 1 | 4 | yes | — |
| 44 | #22575432 | C22 | 1 | 2 | yes | — |
| 45 | #22575432 | C22 | 1 | 2 | yes | — |
| 46 | #22575431 | C22 | 1 | 4 | yes | complemented |
| 47 | #22575430 | C22 | 1 | 4 | yes | — |
| 48 | #22575429 | C22 | 1 | 2 | yes | complemented |
| 49 | #22575429 | C22 | 1 | 4 | yes | complemented |
| 50 | #22575427 | C22 | 1 | 1 | yes | characteristic |
| 51 | #22575427 | C22 | 1 | 1 | yes | characteristic |
| 52 | #22575422 | C22 | 1 | 2 | yes | — |
| 53 | Q8×Dic269 | C22 | 1 | 2 | yes | complemented |
| 54 | #22575418 | C22 | 1 | 2 | yes | complemented |
| 55 | C4×C22⋊D269 | C22 | 1 | 4 | yes | — |
| 56 | C4×C22⋊D269 | C22 | 1 | 2 | yes | — |
| 57 | C4×C22⋊D269 | C22 | 1 | 2 | yes | — |
| 58 | #22575413 | C22 | 1 | 4 | yes | — |
| 59 | #22575412 | C22 | 1 | 1 | yes | characteristic |
| 60 | #22575412 | C22 | 1 | 4 | yes | — |
| 61 | #22575411 | C22 | 1 | 2 | yes | complemented |
| 62 | #22575409 | C22 | 1 | 4 | yes | — |
| 63 | C2×C4⋊Dic269 | C22 | 1 | 1 | yes | characteristic |
| 64 | C2×#16864381 | C22 | 1 | 2 | yes | — |
| 65 | C2×C22⋊Dic269 | C22 | 1 | 2 | yes | — |
| 66 | C22×Q8×C269 | C22 | 1 | 1 | yes | characteristic |
| 67 | C23×C4×C269 | C22 | 1 | 1 | yes | characteristic |
| 68 | C22⋊Q8×C269 | C22 | 1 | 2 | yes | — |
| 69 | C22⋊Q8×C269 | C22 | 1 | 2 | yes | — |
| 70 | C22⋊Q8×C269 | C22 | 1 | 2 | yes | — |
| 71 | C22⋊Q8×C269 | C22 | 1 | 2 | yes | — |
| 72 | C2×C4⋊C4×C269 | C22 | 1 | 2 | yes | — |
| 73 | C2×C4⋊C4×C269 | C22 | 1 | 1 | yes | characteristic |
| 74 | C2×C22⋊C4×C269 | C22 | 1 | 2 | yes | — |
| 75 | #16864402 | — | 4 | 2 | no | — |
| 76 | C2×Dic538 | — | 4 | 2 | no | — |
| 77 | C2×Dic538 | C23 | 1 | 2 | yes | — |
| 78 | C2×Dic538 | C23 | 1 | 4 | yes | — |
| 79 | C2×Dic538 | C23 | 1 | 2 | yes | — |
| 80 | C2×Dic538 | C23 | 1 | 1 | yes | characteristic |
| 81 | Q8×D269 | — | 4 | 4 | no | — |
| 82 | C2×D1076 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C22⋊D269 | C23 | 1 | 2 | yes | — |
| 84 | C2×C22⋊D269 | C23 | 1 | 2 | yes | — |
| 85 | C2×C22⋊D269 | C23 | 1 | 2 | yes | — |
| 86 | C22×Dic269 | C23 | 1 | 2 | yes | — |
| 87 | C22×Dic269 | C23 | 1 | 2 | yes | — |
| 88 | C2×C4×D269 | C23 | 1 | 2 | yes | — |
| 89 | C2×C4×D269 | C23 | 1 | 4 | yes | — |
| 90 | C4⋊Dic269 | C23 | 1 | 2 | yes | — |
| 91 | C4⋊Dic269 | C23 | 1 | 2 | yes | — |
| 92 | C4⋊Dic269 | C23 | 1 | 1 | yes | characteristic |
| 93 | C4⋊Dic269 | C23 | 1 | 1 | yes | characteristic |
| 94 | C4⋊Dic269 | C23 | 1 | 4 | yes | — |
| 95 | C4⋊Dic269 | C23 | 1 | 4 | yes | — |
| 96 | C4⋊Dic269 | C23 | 1 | 4 | yes | — |
| 97 | #16864381 | C23 | 1 | 4 | yes | — |
| 98 | #16864381 | C23 | 1 | 4 | yes | — |
| 99 | #16864381 | C23 | 1 | 4 | yes | — |
| 100 | #16864381 | C23 | 1 | 4 | yes | — |
| 101 | #16864381 | C23 | 1 | 4 | yes | — |
| 102 | #16864381 | C23 | 1 | 4 | yes | — |
| 103 | #16864381 | C23 | 1 | 2 | yes | — |
| 104 | #16864381 | C23 | 1 | 2 | yes | — |
| 105 | #16864381 | C23 | 1 | 4 | yes | — |
| 106 | C22⋊Dic269 | C23 | 1 | 4 | yes | — |
| 107 | C22⋊Dic269 | C23 | 1 | 4 | yes | — |
| 108 | C22⋊Dic269 | C23 | 1 | 2 | yes | — |
| 109 | C22⋊Dic269 | C23 | 1 | 2 | yes | — |
| 110 | C22⋊Dic269 | C23 | 1 | 2 | yes | — |
| 111 | #16864379 | C23 | 1 | 4 | yes | — |
| 112 | #16864379 | C23 | 1 | 4 | yes | — |
| 113 | #16864379 | C23 | 1 | 2 | yes | — |
| 114 | #16864379 | C23 | 1 | 2 | yes | — |
| 115 | #16864379 | C23 | 1 | 4 | yes | — |
| 116 | C4×Dic269 | C23 | 1 | 4 | yes | — |
| 117 | C4×Dic269 | C23 | 1 | 4 | yes | — |
| 118 | C4×Dic269 | C23 | 1 | 4 | yes | — |
| 119 | C4×Dic269 | C23 | 1 | 2 | yes | — |
| 120 | C24×C269 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×Q8×C269 | — | 4 | 2 | no | — |
| 122 | C2×Q8×C269 | C23 | 1 | 2 | yes | — |
| 123 | C2×Q8×C269 | C23 | 1 | 2 | yes | — |
| 124 | C22×C4×C269 | — | 4 | 2 | no | — |
| 125 | C22×C4×C269 | C23 | 1 | 1 | yes | characteristic |
| 126 | C22×C4×C269 | C23 | 1 | 2 | yes | — |
| 127 | C22×C4×C269 | C23 | 1 | 1 | yes | characteristic |
| 128 | C22×C4×C269 | C23 | 1 | 1 | yes | characteristic |
| 129 | C22×C4×C269 | C23 | 1 | 1 | yes | characteristic |
| 130 | C22×C4×C269 | C23 | 1 | 2 | yes | — |
| 131 | C22×C4×C269 | C23 | 1 | 1 | yes | characteristic |
| 132 | C22×C4×C269 | C23 | 1 | 1 | yes | characteristic |
| 133 | C4⋊C4×C269 | C23 | 1 | 2 | yes | — |
| 134 | C4⋊C4×C269 | C23 | 1 | 4 | yes | — |
| 135 | C4⋊C4×C269 | C23 | 1 | 4 | yes | — |
| 136 | C4⋊C4×C269 | C23 | 1 | 2 | yes | — |
| 137 | C22⋊C4×C269 | C23 | 1 | 4 | yes | — |
| 138 | C22⋊C4×C269 | C23 | 1 | 4 | yes | — |
| 139 | C22×D269 | C24 | 1 | 2 | yes | — |
| 140 | Dic538 | — | 2 | 4 | no | — |
| 141 | Dic538 | — | 4 | 4 | no | — |
| 142 | Dic538 | — | 4 | 2 | no | — |
| 143 | Dic538 | — | 4 | 1 | no | — |
| 144 | D1076 | — | 4 | 1 | no | — |
| 145 | C22⋊D269 | — | 2 | 4 | no | — |
| 146 | C22⋊D269 | — | 2 | 4 | no | — |
| 147 | C22⋊D269 | — | 4 | 2 | no | — |
| 148 | C2×Dic269 | — | 2 | 4 | no | — |
| 149 | C2×Dic269 | — | 4 | 2 | no | — |
| 150 | C2×Dic269 | C24 | 1 | 2 | yes | — |
| 151 | C2×Dic269 | C24 | 1 | 2 | yes | — |
| 152 | C2×Dic269 | C24 | 1 | 4 | yes | — |
| 153 | C2×Dic269 | C24 | 1 | 2 | yes | — |
| 154 | C2×Dic269 | C24 | 1 | 4 | yes | — |
| 155 | C4×D269 | — | 2 | 4 | no | — |
| 156 | C4×D269 | — | 4 | 4 | no | — |
| 157 | C23×C269 | — | 2 | 2 | no | — |
| 158 | C23×C269 | — | 2 | 2 | no | — |
| 159 | C23×C269 | — | 4 | 1 | no | — |
| 160 | C23×C269 | C24 | 1 | 1 | yes | characteristic |
| 161 | C23×C269 | C24 | 1 | 1 | yes | characteristic |
| 162 | C23×C269 | C24 | 1 | 1 | yes | characteristic |
| 163 | Q8×C269 | — | 2 | 4 | no | — |
| 164 | Q8×C269 | — | 4 | 2 | no | — |
| 165 | C2×C4×C269 | — | 2 | 4 | no | — |
| 166 | C2×C4×C269 | — | 2 | 2 | no | — |
| 167 | C2×C4×C269 | — | 2 | 2 | no | — |
| 168 | C2×C4×C269 | — | 2 | 2 | no | — |
| 169 | C2×C4×C269 | — | 4 | 1 | no | — |
| 170 | C2×C4×C269 | — | 4 | 1 | no | — |
| 171 | C2×C4×C269 | — | 4 | 1 | no | — |
| 172 | C2×C4×C269 | — | 4 | 2 | no | — |
| 173 | C2×C4×C269 | C24 | 1 | 4 | yes | — |
| 174 | C2×C4×C269 | C24 | 1 | 4 | yes | — |
| 175 | C2×C4×C269 | C24 | 1 | 1 | yes | characteristic |
| 176 | C2×C4×C269 | C24 | 1 | 1 | yes | characteristic |
| 177 | C2×C4×C269 | C24 | 1 | 1 | yes | characteristic |
| 178 | C2×C4×C269 | C24 | 1 | 1 | yes | characteristic |
| 179 | C22×C269 | — | 2 | 1 | no | — |
| 180 | C22×C269 | — | 2 | 1 | no | — |
| 181 | C22×C269 | — | 2 | 1 | no | — |
| 182 | C22×C269 | — | 2 | 1 | no | — |
| 183 | C22×C269 | — | 2 | 1 | no | — |
| 184 | C22×C269 | — | 2 | 1 | no | — |
| 185 | C22×C269 | — | 2 | 1 | no | — |
| 186 | C22×C269 | — | 4 | 4 | no | — |
| 187 | C22×C269 | 2−1+4 | 1 | 2 | yes | — |
| 188 | C22×C269 | 2−1+4 | 1 | 2 | yes | — |
| 189 | C22×C269 | C25 | 1 | 1 | yes | characteristic |
| 190 | C2×D269 | — | 2 | 2 | no | — |
| 191 | C2×D269 | — | 2 | 2 | no | — |
| 192 | C2×D269 | — | 2 | 2 | no | — |
| 193 | C4×C269 | — | 2 | 1 | no | — |
| 194 | C4×C269 | — | 2 | 1 | no | — |
| 195 | C4×C269 | — | 2 | 1 | no | — |
| 196 | C4×C269 | — | 2 | 4 | no | — |
| 197 | C4×C269 | — | 2 | 4 | no | — |
| 198 | C4×C269 | H(5,𝔽2) | 1 | 2 | yes | — |
| 199 | Dic269 | — | 2 | 2 | no | — |
| 200 | Dic269 | — | 2 | 4 | no | — |
| 201 | Dic269 | — | 2 | 4 | no | — |
| 202 | Dic269 | — | 2 | 2 | no | — |
| 203 | Dic269 | — | 2 | 2 | no | — |
| 204 | C2×C269 | — | 2 | 2 | no | — |
| 205 | C2×C269 | — | 2 | 2 | no | — |
| 206 | C2×C269 | — | 4 | 1 | no | — |
| 207 | C2×C269 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 208 | C2×C269 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 209 | C2×C269 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 210 | D269 | — | 4 | 2 | no | — |
| 211 | C269 | #3538 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 212 | #3538 | — | 269 | 1 | no | maximal, Sylow |
| 213 | #563 | — | 269 | 4 | no | — |
| 214 | #552 | — | 269 | 2 | no | — |
| 215 | #552 | — | 269 | 2 | no | — |
| 216 | #551 | — | 269 | 4 | no | — |
| 217 | D4×Q8 | — | 269 | 2 | no | — |
| 218 | D4×Q8 | — | 269 | 2 | no | — |
| 219 | #544 | — | 269 | 2 | no | — |
| 220 | #544 | — | 269 | 2 | no | — |
| 221 | #541 | — | 269 | 2 | no | — |
| 222 | #539 | — | 269 | 2 | no | — |
| 223 | #539 | — | 269 | 2 | no | — |
| 224 | #536 | — | 269 | 2 | no | — |
| 225 | #525 | — | 269 | 1 | no | — |
| 226 | C2×C22⋊Q8 | — | 269 | 1 | no | — |
| 227 | C2×C22⋊Q8 | D269 | 1 | 1 | yes | characteristic, complemented |
| 228 | C2×#41 | — | 269 | 1 | no | — |
| 229 | C22×Q8 | — | 269 | 2 | no | — |
| 230 | C22×Q8 | — | 269 | 1 | no | — |
| 231 | C22×Q8 | C2×D269 | 1 | 1 | yes | characteristic |
| 232 | C23×C4 | C2×D269 | 1 | 1 | yes | characteristic |
| 233 | C4⋊Q8 | — | 269 | 2 | no | — |
| 234 | C4⋊Q8 | — | 269 | 4 | no | — |
| 235 | C4⋊Q8 | — | 269 | 4 | no | — |
| 236 | C4⋊Q8 | — | 269 | 4 | no | — |
| 237 | #126 | — | 269 | 4 | no | — |
| 238 | #126 | — | 269 | 4 | no | — |
| 239 | #126 | — | 269 | 4 | no | — |
| 240 | #126 | — | 269 | 4 | no | — |
| 241 | #125 | — | 269 | 4 | no | — |
| 242 | #125 | — | 269 | 4 | no | — |
| 243 | #125 | — | 269 | 2 | no | — |
| 244 | #125 | — | 269 | 4 | no | — |
| 245 | #125 | — | 269 | 4 | no | — |
| 246 | #124 | — | 269 | 4 | no | — |
| 247 | #123 | — | 269 | 2 | no | — |
| 248 | #123 | — | 269 | 4 | no | — |
| 249 | #123 | — | 269 | 4 | no | — |
| 250 | #123 | — | 269 | 4 | no | — |
| 251 | #123 | — | 269 | 4 | no | — |
| 252 | C22⋊Q8 | — | 269 | 2 | no | — |
| 253 | C22⋊Q8 | — | 269 | 4 | no | — |
| 254 | C22⋊Q8 | — | 269 | 2 | no | — |
| 255 | C22⋊Q8 | — | 269 | 2 | no | — |
| 256 | C22⋊Q8 | — | 269 | 2 | no | — |
| 257 | C22⋊Q8 | — | 269 | 2 | no | — |
| 258 | C22⋊Q8 | — | 269 | 1 | no | — |
| 259 | C22⋊Q8 | — | 269 | 1 | no | — |
| 260 | C22⋊Q8 | — | 269 | 4 | no | — |
| 261 | C22⋊Q8 | — | 269 | 2 | no | — |
| 262 | C22⋊Q8 | — | 269 | 4 | no | — |
| 263 | C22⋊Q8 | — | 269 | 4 | no | — |
| 264 | C22⋊Q8 | C2×D269 | 1 | 2 | yes | — |
| 265 | C22⋊Q8 | C2×D269 | 1 | 2 | yes | — |
| 266 | C22⋊Q8 | C2×D269 | 1 | 2 | yes | — |
| 267 | C22⋊Q8 | C2×D269 | 1 | 2 | yes | — |
| 268 | #121 | — | 269 | 1 | no | — |
| 269 | #121 | — | 269 | 1 | no | — |
| 270 | #120 | — | 269 | 2 | no | — |
| 271 | C4×Q8 | — | 269 | 2 | no | — |
| 272 | C4×Q8 | — | 269 | 2 | no | — |
| 273 | C4×D4 | — | 269 | 2 | no | — |
| 274 | C4×D4 | — | 269 | 2 | no | — |
| 275 | C4×D4 | — | 269 | 4 | no | — |
| 276 | C4×D4 | — | 269 | 4 | no | — |
| 277 | #117 | — | 269 | 1 | no | — |
| 278 | #117 | — | 269 | 4 | no | — |
| 279 | #117 | — | 269 | 2 | no | — |
| 280 | #117 | — | 269 | 4 | no | — |
| 281 | C2×C4⋊C4 | — | 269 | 2 | no | — |
| 282 | C2×C4⋊C4 | — | 269 | 1 | no | — |
| 283 | C2×C4⋊C4 | C2×D269 | 1 | 2 | yes | — |
| 284 | C2×C4⋊C4 | C2×D269 | 1 | 1 | yes | characteristic |
| 285 | C2×C22⋊C4 | — | 269 | 2 | no | — |
| 286 | C2×C22⋊C4 | C2×D269 | 1 | 2 | yes | — |
| 287 | C24 | C22×D269 | 1 | 1 | yes | characteristic |
| 288 | #41 | — | 1076 | 2 | no | — |
| 289 | C2×Q8 | — | 4 | 2 | no | — |
| 290 | C2×Q8 | — | 269 | 2 | no | — |
| 291 | C2×Q8 | — | 269 | 2 | no | — |
| 292 | C2×Q8 | — | 269 | 4 | no | — |
| 293 | C2×Q8 | — | 269 | 1 | no | — |
| 294 | C2×Q8 | — | 1076 | 2 | no | — |
| 295 | C2×Q8 | — | 1076 | 4 | no | — |
| 296 | C2×Q8 | C22×D269 | 1 | 2 | yes | — |
| 297 | C2×Q8 | C22×D269 | 1 | 2 | yes | — |
| 298 | C2×D4 | — | 269 | 2 | no | — |
| 299 | C2×D4 | — | 269 | 2 | no | — |
| 300 | C2×D4 | — | 269 | 2 | no | — |
| 301 | C2×D4 | — | 269 | 1 | no | — |
| 302 | C22×C4 | — | 4 | 2 | no | — |
| 303 | C22×C4 | — | 269 | 2 | no | — |
| 304 | C22×C4 | — | 269 | 2 | no | — |
| 305 | C22×C4 | — | 269 | 2 | no | — |
| 306 | C22×C4 | — | 269 | 4 | no | — |
| 307 | C22×C4 | C22×D269 | 1 | 2 | yes | — |
| 308 | C22×C4 | C22×D269 | 1 | 1 | yes | characteristic |
| 309 | C22×C4 | C22×D269 | 1 | 1 | yes | characteristic |
| 310 | C22×C4 | C22×D269 | 1 | 1 | yes | characteristic |
| 311 | C22×C4 | C22×D269 | 1 | 2 | yes | — |
| 312 | C22×C4 | C22×D269 | 1 | 1 | yes | characteristic |
| 313 | C22×C4 | C22×D269 | 1 | 1 | yes | characteristic |
| 314 | C22×C4 | C22×D269 | 1 | 1 | yes | characteristic |
| 315 | C4⋊C4 | — | 269 | 2 | no | — |
| 316 | C4⋊C4 | — | 269 | 4 | no | — |
| 317 | C4⋊C4 | — | 269 | 4 | no | — |
| 318 | C4⋊C4 | — | 269 | 2 | no | — |
| 319 | C4⋊C4 | — | 269 | 1 | no | — |
| 320 | C4⋊C4 | — | 269 | 1 | no | — |
| 321 | C4⋊C4 | — | 269 | 4 | no | — |
| 322 | C4⋊C4 | — | 269 | 4 | no | — |
| 323 | C4⋊C4 | — | 269 | 4 | no | — |
| 324 | C4⋊C4 | — | 269 | 4 | no | — |
| 325 | C4⋊C4 | — | 269 | 4 | no | — |
| 326 | C4⋊C4 | — | 269 | 4 | no | — |
| 327 | C4⋊C4 | — | 269 | 2 | no | — |
| 328 | C4⋊C4 | — | 269 | 2 | no | — |
| 329 | C4⋊C4 | — | 269 | 4 | no | — |
| 330 | C4⋊C4 | — | 269 | 4 | no | — |
| 331 | C4⋊C4 | C22×D269 | 1 | 2 | yes | — |
| 332 | C4⋊C4 | C22×D269 | 1 | 4 | yes | — |
| 333 | C4⋊C4 | C22×D269 | 1 | 4 | yes | — |
| 334 | C4⋊C4 | C22×D269 | 1 | 2 | yes | — |
| 335 | C22⋊C4 | — | 269 | 4 | no | — |
| 336 | C22⋊C4 | — | 269 | 4 | no | — |
| 337 | C22⋊C4 | — | 269 | 2 | no | — |
| 338 | C22⋊C4 | — | 269 | 2 | no | — |
| 339 | C22⋊C4 | — | 269 | 2 | no | — |
| 340 | C22⋊C4 | — | 269 | 4 | no | — |
| 341 | C22⋊C4 | — | 269 | 2 | no | — |
| 342 | C22⋊C4 | — | 269 | 2 | no | — |
| 343 | C22⋊C4 | — | 269 | 4 | no | — |
| 344 | C22⋊C4 | — | 269 | 4 | no | — |
| 345 | C22⋊C4 | C22×D269 | 1 | 4 | yes | — |
| 346 | C22⋊C4 | C22×D269 | 1 | 4 | yes | — |
| 347 | C42 | — | 269 | 4 | no | — |
| 348 | C42 | — | 269 | 2 | no | — |
| 349 | C42 | — | 269 | 4 | no | — |
| 350 | C42 | — | 269 | 4 | no | — |
| 351 | C23 | — | 2 | 2 | no | — |
| 352 | C23 | — | 2 | 2 | no | — |
| 353 | C23 | — | 4 | 1 | no | — |
| 354 | C23 | — | 269 | 2 | no | — |
| 355 | C23 | C23×D269 | 1 | 1 | yes | characteristic |
| 356 | C23 | C23×D269 | 1 | 1 | yes | characteristic |
| 357 | C23 | C23×D269 | 1 | 1 | yes | characteristic |
| 358 | Q8 | — | 2 | 4 | no | — |
| 359 | Q8 | — | 4 | 2 | no | — |
| 360 | Q8 | — | 538 | 4 | no | — |
| 361 | Q8 | — | 1076 | 2 | no | — |
| 362 | Q8 | — | 1076 | 4 | no | — |
| 363 | Q8 | — | 1076 | 1 | no | — |
| 364 | D4 | — | 538 | 4 | no | — |
| 365 | D4 | — | 538 | 4 | no | — |
| 366 | D4 | — | 1076 | 1 | no | — |
| 367 | D4 | — | 1076 | 2 | no | — |
| 368 | C2×C4 | — | 2 | 4 | no | — |
| 369 | C2×C4 | — | 2 | 2 | no | — |
| 370 | C2×C4 | — | 2 | 2 | no | — |
| 371 | C2×C4 | — | 2 | 2 | no | — |
| 372 | C2×C4 | — | 4 | 1 | no | — |
| 373 | C2×C4 | — | 4 | 1 | no | — |
| 374 | C2×C4 | — | 4 | 1 | no | — |
| 375 | C2×C4 | — | 4 | 2 | no | — |
| 376 | C2×C4 | — | 269 | 2 | no | — |
| 377 | C2×C4 | — | 269 | 2 | no | — |
| 378 | C2×C4 | — | 269 | 4 | no | — |
| 379 | C2×C4 | — | 269 | 2 | no | — |
| 380 | C2×C4 | — | 269 | 4 | no | — |
| 381 | C2×C4 | — | 538 | 4 | no | — |
| 382 | C2×C4 | — | 538 | 4 | no | — |
| 383 | C2×C4 | — | 1076 | 4 | no | — |
| 384 | C2×C4 | — | 1076 | 2 | no | — |
| 385 | C2×C4 | C23×D269 | 1 | 4 | yes | — |
| 386 | C2×C4 | C23×D269 | 1 | 4 | yes | — |
| 387 | C2×C4 | C23×D269 | 1 | 1 | yes | characteristic |
| 388 | C2×C4 | C23×D269 | 1 | 1 | yes | characteristic |
| 389 | C2×C4 | C23×D269 | 1 | 1 | yes | characteristic |
| 390 | C2×C4 | C23×D269 | 1 | 1 | yes | characteristic |
| 391 | C22 | — | 2 | 1 | no | — |
| 392 | C22 | — | 2 | 1 | no | — |
| 393 | C22 | — | 2 | 1 | no | — |
| 394 | C22 | — | 2 | 1 | no | — |
| 395 | C22 | — | 2 | 1 | no | — |
| 396 | C22 | — | 2 | 1 | no | — |
| 397 | C22 | — | 2 | 1 | no | — |
| 398 | C22 | — | 4 | 4 | no | — |
| 399 | C22 | — | 538 | 2 | no | — |
| 400 | C22 | — | 538 | 2 | no | — |
| 401 | C22 | — | 538 | 2 | no | — |
| 402 | C22 | #22575500 | 1 | 2 | yes | — |
| 403 | C22 | #22575501 | 1 | 2 | yes | — |
| 404 | C22 | C24×D269 | 1 | 1 | yes | characteristic |
| 405 | C4 | — | 2 | 1 | no | — |
| 406 | C4 | — | 2 | 1 | no | — |
| 407 | C4 | — | 2 | 1 | no | — |
| 408 | C4 | — | 2 | 4 | no | — |
| 409 | C4 | — | 2 | 4 | no | — |
| 410 | C4 | — | 538 | 2 | no | — |
| 411 | C4 | — | 538 | 4 | no | — |
| 412 | C4 | — | 538 | 2 | no | — |
| 413 | C4 | — | 538 | 4 | no | — |
| 414 | C4 | — | 538 | 2 | no | — |
| 415 | C4 | #22575498 | 1 | 2 | yes | — |
| 416 | C2 | — | 2 | 2 | no | — |
| 417 | C2 | — | 2 | 2 | no | — |
| 418 | C2 | — | 4 | 1 | no | — |
| 419 | C2 | — | 1076 | 2 | no | — |
| 420 | C2 | C2×#22575498 | 1 | 1 | yes | characteristic |
| 421 | C2 | C2×#22575500 | 1 | 1 | yes | characteristic |
| 422 | C2 | C2×#22575501 | 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