← #29710893
Subgroups — #29710893
Order 15616.
616 conjugacy classes of subgroups.
The subgroup lattice has 362 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #21454751 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21447398 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21447393 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #21447269 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #21447122 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #21447103 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #21446989 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #21445654 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #21445619 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #21445574 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C61×#2955 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #16840315 | C22 | 1 | 1 | yes | characteristic |
| 13 | #16839890 | — | 2 | 2 | no | — |
| 14 | C8×Dic122 | — | 2 | 2 | no | — |
| 15 | #16839790 | C22 | 1 | 1 | yes | characteristic |
| 16 | #16839789 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16839785 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14519704 | C22 | 1 | 2 | yes | — |
| 19 | #16839758 | C22 | 1 | 2 | yes | — |
| 20 | #16839746 | C22 | 1 | 2 | yes | — |
| 21 | #16839736 | C22 | 1 | 2 | yes | — |
| 22 | #16839717 | C22 | 1 | 2 | yes | — |
| 23 | #16839717 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C8×Dic61 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16839533 | C22 | 1 | 2 | yes | — |
| 26 | #16839533 | C22 | 1 | 2 | yes | — |
| 27 | #16839526 | C22 | 1 | 2 | yes | — |
| 28 | #16839523 | C22 | 1 | 2 | yes | — |
| 29 | #16839520 | C22 | 1 | 1 | yes | characteristic |
| 30 | #16839519 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16839518 | C22 | 1 | 2 | yes | — |
| 32 | C61×#575 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#131×C61 | C22 | 1 | 2 | yes | — |
| 34 | C61×#444 | — | 2 | 2 | no | — |
| 35 | C61×#443 | — | 2 | 2 | no | — |
| 36 | C61×#430 | C22 | 1 | 1 | yes | characteristic |
| 37 | C61×#421 | C22 | 1 | 2 | yes | — |
| 38 | C61×#405 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#11758194 | C23 | 1 | 1 | yes | characteristic |
| 40 | C2×#11758194 | C23 | 1 | 2 | yes | — |
| 41 | C22×#92418 | C23 | 1 | 1 | yes | characteristic |
| 42 | #14519776 | — | 2 | 1 | no | — |
| 43 | #14519768 | — | 2 | 1 | no | — |
| 44 | #14519754 | — | 2 | 2 | no | — |
| 45 | C4×Dic122 | — | 2 | 2 | no | — |
| 46 | #14519736 | C23 | 1 | 2 | yes | — |
| 47 | #14519736 | C23 | 1 | 1 | yes | characteristic |
| 48 | C2×C4×Dic61 | C23 | 1 | 1 | yes | characteristic |
| 49 | C4⋊#92418 | — | 2 | 2 | no | — |
| 50 | #14519706 | — | 2 | 2 | no | — |
| 51 | #14519706 | — | 2 | 2 | no | — |
| 52 | #14519704 | — | 2 | 2 | no | — |
| 53 | #14519704 | — | 2 | 2 | no | — |
| 54 | #14519701 | — | 2 | 2 | no | — |
| 55 | #14519698 | — | 2 | 2 | no | — |
| 56 | #14519696 | — | 2 | 2 | no | — |
| 57 | #14519694 | — | 2 | 2 | no | — |
| 58 | #14519692 | — | 2 | 4 | no | — |
| 59 | #14519687 | — | 2 | 1 | no | — |
| 60 | #14519687 | — | 2 | 2 | no | — |
| 61 | C8×Dic61 | — | 2 | 1 | no | — |
| 62 | C8×Dic61 | — | 2 | 1 | no | — |
| 63 | C8×Dic61 | — | 2 | 1 | no | — |
| 64 | C8×Dic61 | — | 2 | 2 | no | — |
| 65 | C2×#41×C61 | C23 | 1 | 2 | yes | — |
| 66 | #137×C61 | — | 2 | 2 | no | — |
| 67 | AGL(1,ℤ/8)×C61 | — | 2 | 2 | no | — |
| 68 | #135×C61 | — | 2 | 2 | no | — |
| 69 | #131×C61 | — | 2 | 2 | no | — |
| 70 | #131×C61 | — | 2 | 2 | no | — |
| 71 | #131×C61 | — | 2 | 2 | no | — |
| 72 | #131×C61 | — | 2 | 2 | no | — |
| 73 | C2×M16×C61 | — | 2 | 2 | no | — |
| 74 | C2×M16×C61 | C23 | 1 | 2 | yes | — |
| 75 | C2×M16×C61 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×C8×C61 | — | 2 | 2 | no | — |
| 77 | C22×C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 78 | #117×C61 | C23 | 1 | 1 | yes | characteristic |
| 79 | #108×C61 | — | 2 | 2 | no | — |
| 80 | #104×C61 | — | 2 | 4 | no | — |
| 81 | #97×C61 | D4 | 1 | 2 | yes | — |
| 82 | C4×C8×C61 | D4 | 1 | 2 | yes | — |
| 83 | #41×C61 | — | 2 | 2 | no | — |
| 84 | #41×C61 | — | 2 | 2 | no | — |
| 85 | #41×C61 | — | 2 | 2 | no | — |
| 86 | #41×C61 | — | 2 | 2 | no | — |
| 87 | C2×Q8×C61 | #41 | 1 | 2 | yes | — |
| 88 | C2×D4×C61 | — | 2 | 2 | no | — |
| 89 | C2×D4×C61 | #41 | 1 | 2 | yes | — |
| 90 | C22×C4×C61 | — | 2 | 2 | no | — |
| 91 | C22×C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 92 | C22×Dic61 | — | 2 | 1 | no | — |
| 93 | C2×Dic122 | — | 2 | 2 | no | — |
| 94 | Q16×C61 | — | 2 | 2 | no | — |
| 95 | SD16×C61 | — | 2 | 4 | no | — |
| 96 | D8×C61 | — | 2 | 2 | no | — |
| 97 | M16×C61 | — | 2 | 2 | no | — |
| 98 | M16×C61 | — | 2 | 2 | no | — |
| 99 | M16×C61 | — | 2 | 2 | no | — |
| 100 | M16×C61 | — | 4 | 2 | no | — |
| 101 | M16×C61 | — | 4 | 2 | no | — |
| 102 | C2×C8×C61 | — | 2 | 2 | no | — |
| 103 | C2×C8×C61 | — | 4 | 2 | no | — |
| 104 | C2×C8×C61 | — | 4 | 2 | no | — |
| 105 | C2×C8×C61 | C2×D4 | 1 | 2 | yes | — |
| 106 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C2×C8×C61 | #41 | 1 | 2 | yes | — |
| 109 | C2×C8×C61 | #41 | 1 | 2 | yes | — |
| 110 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 111 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 112 | C42×C61 | C2×D4 | 1 | 2 | yes | — |
| 113 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 114 | C22⋊Dic61 | #41 | 1 | 2 | yes | — |
| 115 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 116 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 117 | C4⋊Dic61 | — | 2 | 2 | no | — |
| 118 | #11758196 | — | 2 | 2 | no | — |
| 119 | #11758196 | — | 2 | 2 | no | — |
| 120 | C4×Dic61 | — | 2 | 1 | no | — |
| 121 | C4×Dic61 | — | 2 | 1 | no | — |
| 122 | C4×Dic61 | — | 2 | 2 | no | — |
| 123 | C4×Dic61 | #41 | 1 | 1 | yes | characteristic |
| 124 | C4×Dic61 | #41 | 1 | 1 | yes | characteristic |
| 125 | #11758194 | — | 2 | 2 | no | — |
| 126 | #11758194 | — | 2 | 2 | no | — |
| 127 | #11758194 | — | 2 | 2 | no | — |
| 128 | C2×#92418 | — | 2 | 1 | no | — |
| 129 | C2×#92418 | — | 2 | 1 | no | — |
| 130 | C2×#92418 | — | 2 | 2 | no | — |
| 131 | C2×#92418 | — | 2 | 2 | no | — |
| 132 | C23×C61 | — | 2 | 2 | no | — |
| 133 | C23×C61 | C2×#41 | 1 | 1 | yes | characteristic |
| 134 | Q8×C61 | — | 2 | 2 | no | — |
| 135 | Q8×C61 | — | 2 | 2 | no | — |
| 136 | D4×C61 | — | 2 | 2 | no | — |
| 137 | D4×C61 | — | 2 | 2 | no | — |
| 138 | D4×C61 | — | 4 | 2 | no | — |
| 139 | D4×C61 | — | 4 | 2 | no | — |
| 140 | C2×C4×C61 | — | 2 | 2 | no | — |
| 141 | C2×C4×C61 | — | 2 | 2 | no | — |
| 142 | C2×C4×C61 | — | 4 | 2 | no | — |
| 143 | C2×C4×C61 | — | 4 | 2 | no | — |
| 144 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 145 | C2×C4×C61 | C2×#41 | 1 | 2 | yes | — |
| 146 | C2×C4×C61 | C2×#41 | 1 | 2 | yes | — |
| 147 | C2×C4×C61 | C2×#41 | 1 | 1 | yes | characteristic |
| 148 | C2×Dic61 | — | 2 | 1 | no | — |
| 149 | C2×Dic61 | — | 2 | 1 | no | — |
| 150 | C2×Dic61 | — | 2 | 2 | no | — |
| 151 | C2×Dic61 | — | 4 | 2 | no | — |
| 152 | C2×Dic61 | — | 4 | 2 | no | — |
| 153 | Dic122 | — | 4 | 4 | no | — |
| 154 | C8×C61 | — | 2 | 2 | no | — |
| 155 | C8×C61 | — | 4 | 2 | no | — |
| 156 | C8×C61 | #124 | 1 | 2 | yes | — |
| 157 | C8×C61 | #124 | 1 | 1 | yes | characteristic |
| 158 | C8×C61 | #124 | 1 | 1 | yes | characteristic |
| 159 | #92418 | — | 4 | 1 | no | — |
| 160 | #92418 | — | 4 | 1 | no | — |
| 161 | #92418 | — | 4 | 2 | no | — |
| 162 | #23833 | — | 61 | 1 | no | maximal, Sylow |
| 163 | C22×C61 | — | 4 | 1 | no | — |
| 164 | C22×C61 | — | 4 | 2 | no | — |
| 165 | C22×C61 | — | 8 | 2 | no | — |
| 166 | C22×C61 | #525 | 1 | 1 | yes | characteristic |
| 167 | C22×C61 | #529 | 1 | 2 | yes | — |
| 168 | C4×C61 | — | 4 | 2 | no | — |
| 169 | C4×C61 | — | 4 | 2 | no | — |
| 170 | C4×C61 | #525 | 1 | 1 | yes | characteristic |
| 171 | C4×C61 | C2×#124 | 1 | 1 | yes | characteristic |
| 172 | C4×C61 | #529 | 1 | 2 | yes | — |
| 173 | Dic61 | — | 2 | 2 | no | — |
| 174 | Dic61 | — | 4 | 2 | no | — |
| 175 | Dic61 | — | 4 | 1 | no | — |
| 176 | Dic61 | — | 8 | 2 | no | — |
| 177 | #2960 | — | 61 | 1 | no | — |
| 178 | #2955 | D61 | 1 | 1 | yes | characteristic |
| 179 | #2103 | — | 61 | 1 | no | — |
| 180 | #2102 | — | 61 | 1 | no | — |
| 181 | #2080 | — | 61 | 2 | no | — |
| 182 | #2053 | — | 61 | 1 | no | — |
| 183 | #2050 | — | 61 | 1 | no | — |
| 184 | #2031 | — | 61 | 2 | no | — |
| 185 | #1764 | — | 61 | 2 | no | — |
| 186 | #1757 | — | 61 | 2 | no | — |
| 187 | #1747 | — | 61 | 1 | no | — |
| 188 | C2×C61 | — | 2 | 1 | no | — |
| 189 | C2×C61 | — | 2 | 2 | no | — |
| 190 | C2×C61 | — | 8 | 2 | no | — |
| 191 | C2×C61 | #2398 | 1 | 1 | yes | characteristic |
| 192 | #575 | C2×D61 | 1 | 1 | yes | characteristic |
| 193 | C2×#131 | C2×D61 | 1 | 2 | yes | — |
| 194 | #533 | — | 61 | 1 | no | — |
| 195 | #446 | — | 122 | 2 | no | — |
| 196 | C8×Q8 | — | 122 | 2 | no | — |
| 197 | #444 | — | 2 | 2 | no | — |
| 198 | #443 | — | 2 | 2 | no | — |
| 199 | #430 | C2×D61 | 1 | 1 | yes | characteristic |
| 200 | #424 | — | 61 | 1 | no | — |
| 201 | #424 | — | 61 | 1 | no | — |
| 202 | #423 | — | 61 | 1 | no | — |
| 203 | #421 | C2×D61 | 1 | 2 | yes | — |
| 204 | C2×#104 | — | 61 | 2 | no | — |
| 205 | #416 | — | 61 | 2 | no | — |
| 206 | #413 | — | 61 | 2 | no | — |
| 207 | #410 | — | 61 | 2 | no | — |
| 208 | #405 | — | 61 | 1 | no | — |
| 209 | #405 | — | 61 | 2 | no | — |
| 210 | #405 | C2×D61 | 1 | 1 | yes | characteristic |
| 211 | C2×C4×C8 | — | 61 | 1 | no | — |
| 212 | #344 | — | 61 | 2 | no | — |
| 213 | #344 | — | 61 | 2 | no | — |
| 214 | #341 | — | 61 | 2 | no | — |
| 215 | #339 | — | 61 | 2 | no | — |
| 216 | #338 | — | 61 | 1 | no | — |
| 217 | H(3,ℤ/4) | — | 61 | 1 | no | — |
| 218 | H(3,ℤ/4) | — | 61 | 2 | no | — |
| 219 | C61 | #23833 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 220 | C2×#41 | C22×D61 | 1 | 2 | yes | — |
| 221 | #137 | — | 2 | 2 | no | — |
| 222 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 223 | #135 | — | 2 | 2 | no | — |
| 224 | #131 | — | 2 | 2 | no | — |
| 225 | #131 | — | 2 | 2 | no | — |
| 226 | #131 | — | 2 | 2 | no | — |
| 227 | #131 | — | 2 | 2 | no | — |
| 228 | C2×M16 | — | 2 | 2 | no | — |
| 229 | C2×M16 | — | 61 | 2 | no | — |
| 230 | C2×M16 | — | 61 | 1 | no | — |
| 231 | C2×M16 | C22×D61 | 1 | 2 | yes | — |
| 232 | C2×M16 | C22×D61 | 1 | 1 | yes | characteristic |
| 233 | C22×C8 | — | 2 | 2 | no | — |
| 234 | C22×C8 | — | 61 | 1 | no | — |
| 235 | C22×C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 236 | C4⋊Q8 | — | 122 | 1 | no | — |
| 237 | #125 | — | 122 | 1 | no | — |
| 238 | C22⋊Q8 | — | 122 | 2 | no | — |
| 239 | C4×Q8 | — | 122 | 2 | no | — |
| 240 | #117 | — | 61 | 1 | no | — |
| 241 | #117 | — | 61 | 2 | no | — |
| 242 | #117 | C22×D61 | 1 | 1 | yes | characteristic |
| 243 | C2×C42 | — | 61 | 1 | no | — |
| 244 | #108 | — | 2 | 2 | no | — |
| 245 | C4⋊C8 | — | 122 | 2 | no | — |
| 246 | C4⋊C8 | — | 122 | 2 | no | — |
| 247 | C4⋊C8 | — | 122 | 2 | no | — |
| 248 | #104 | — | 2 | 4 | no | — |
| 249 | #104 | — | 122 | 2 | no | — |
| 250 | #104 | — | 122 | 2 | no | — |
| 251 | #103 | — | 122 | 2 | no | — |
| 252 | #102 | — | 122 | 2 | no | — |
| 253 | #101 | — | 122 | 2 | no | — |
| 254 | #100 | — | 122 | 2 | no | — |
| 255 | #99 | — | 122 | 4 | no | — |
| 256 | #97 | — | 122 | 2 | no | — |
| 257 | #97 | — | 122 | 1 | no | — |
| 258 | #97 | C22⋊D61 | 1 | 2 | yes | — |
| 259 | C4×C8 | — | 122 | 2 | no | — |
| 260 | C4×C8 | — | 122 | 1 | no | — |
| 261 | C4×C8 | — | 122 | 1 | no | — |
| 262 | C4×C8 | — | 122 | 1 | no | — |
| 263 | C4×C8 | C22⋊D61 | 1 | 2 | yes | — |
| 264 | #41 | — | 2 | 2 | no | — |
| 265 | #41 | — | 2 | 2 | no | — |
| 266 | #41 | — | 2 | 2 | no | — |
| 267 | #41 | — | 2 | 2 | no | — |
| 268 | C2×Q8 | — | 122 | 2 | no | — |
| 269 | C2×Q8 | #11758222 | 1 | 2 | yes | — |
| 270 | C2×D4 | — | 2 | 2 | no | — |
| 271 | C2×D4 | #11758222 | 1 | 2 | yes | — |
| 272 | C22×C4 | — | 2 | 2 | no | — |
| 273 | C22×C4 | — | 122 | 1 | no | — |
| 274 | C22×C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 275 | Q16 | — | 2 | 2 | no | — |
| 276 | SD16 | — | 2 | 4 | no | — |
| 277 | D8 | — | 2 | 2 | no | — |
| 278 | M16 | — | 2 | 2 | no | — |
| 279 | M16 | — | 2 | 2 | no | — |
| 280 | M16 | — | 2 | 2 | no | — |
| 281 | M16 | — | 4 | 2 | no | — |
| 282 | M16 | — | 4 | 2 | no | — |
| 283 | M16 | — | 122 | 2 | no | — |
| 284 | M16 | — | 122 | 2 | no | — |
| 285 | M16 | — | 122 | 2 | no | — |
| 286 | C2×C8 | — | 2 | 2 | no | — |
| 287 | C2×C8 | — | 4 | 2 | no | — |
| 288 | C2×C8 | — | 4 | 2 | no | — |
| 289 | C2×C8 | — | 122 | 1 | no | — |
| 290 | C2×C8 | — | 122 | 1 | no | — |
| 291 | C2×C8 | — | 122 | 2 | no | — |
| 292 | C2×C8 | — | 122 | 2 | no | — |
| 293 | C2×C8 | #11758224 | 1 | 2 | yes | — |
| 294 | C2×C8 | #11758224 | 1 | 2 | yes | — |
| 295 | C2×C8 | C2×C22⋊D61 | 1 | 2 | yes | — |
| 296 | C2×C8 | C2×C22⋊D61 | 1 | 1 | yes | characteristic |
| 297 | C2×C8 | C2×C22⋊D61 | 1 | 1 | yes | characteristic |
| 298 | C4⋊C4 | — | 2 | 1 | no | — |
| 299 | C4⋊C4 | — | 122 | 2 | no | — |
| 300 | C4⋊C4 | — | 122 | 2 | no | — |
| 301 | C4⋊C4 | — | 122 | 2 | no | — |
| 302 | C4⋊C4 | — | 122 | 1 | no | — |
| 303 | C4⋊C4 | — | 122 | 2 | no | — |
| 304 | C22⋊C4 | — | 2 | 1 | no | — |
| 305 | C22⋊C4 | — | 61 | 2 | no | — |
| 306 | C22⋊C4 | — | 122 | 2 | no | — |
| 307 | C42 | — | 61 | 1 | no | — |
| 308 | C42 | — | 61 | 1 | no | — |
| 309 | C42 | — | 122 | 1 | no | — |
| 310 | C42 | — | 122 | 1 | no | — |
| 311 | C42 | — | 122 | 2 | no | — |
| 312 | C42 | C2×C22⋊D61 | 1 | 2 | yes | — |
| 313 | C23 | — | 2 | 2 | no | — |
| 314 | C23 | #41×D61 | 1 | 1 | yes | characteristic |
| 315 | Q8 | — | 2 | 2 | no | — |
| 316 | Q8 | — | 2 | 2 | no | — |
| 317 | Q8 | — | 244 | 4 | no | — |
| 318 | D4 | — | 2 | 2 | no | — |
| 319 | D4 | — | 2 | 2 | no | — |
| 320 | D4 | — | 4 | 2 | no | — |
| 321 | D4 | — | 4 | 2 | no | — |
| 322 | C2×C4 | — | 2 | 2 | no | — |
| 323 | C2×C4 | — | 2 | 2 | no | — |
| 324 | C2×C4 | — | 4 | 2 | no | — |
| 325 | C2×C4 | — | 4 | 2 | no | — |
| 326 | C2×C4 | — | 122 | 1 | no | — |
| 327 | C2×C4 | — | 122 | 1 | no | — |
| 328 | C2×C4 | — | 122 | 2 | no | — |
| 329 | C2×C4 | — | 244 | 2 | no | — |
| 330 | C2×C4 | — | 244 | 2 | no | — |
| 331 | C2×C4 | C22×C22⋊D61 | 1 | 1 | yes | characteristic |
| 332 | C2×C4 | #41×D61 | 1 | 1 | yes | characteristic |
| 333 | C2×C4 | C2×#11758224 | 1 | 2 | yes | — |
| 334 | C2×C4 | C2×#11758222 | 1 | 2 | yes | — |
| 335 | C8 | — | 2 | 2 | no | — |
| 336 | C8 | — | 4 | 2 | no | — |
| 337 | C8 | — | 244 | 1 | no | — |
| 338 | C8 | — | 244 | 1 | no | — |
| 339 | C8 | — | 244 | 2 | no | — |
| 340 | C8 | #14519764 | 1 | 2 | yes | — |
| 341 | C8 | #14519764 | 1 | 1 | yes | characteristic |
| 342 | C8 | #14519764 | 1 | 1 | yes | characteristic |
| 343 | C22 | — | 4 | 1 | no | — |
| 344 | C22 | — | 4 | 2 | no | — |
| 345 | C22 | — | 8 | 2 | no | — |
| 346 | C22 | #16840269 | 1 | 1 | yes | characteristic |
| 347 | C22 | #16840292 | 1 | 2 | yes | — |
| 348 | C4 | — | 4 | 2 | no | — |
| 349 | C4 | — | 4 | 2 | no | — |
| 350 | C4 | — | 122 | 2 | no | — |
| 351 | C4 | — | 488 | 2 | no | — |
| 352 | C4 | — | 244 | 1 | no | — |
| 353 | C4 | — | 244 | 2 | no | — |
| 354 | C4 | #16840273 | 1 | 1 | yes | characteristic |
| 355 | C4 | C2×#14519764 | 1 | 1 | yes | characteristic |
| 356 | C4 | #16840292 | 1 | 2 | yes | — |
| 357 | C2 | — | 2 | 1 | no | — |
| 358 | C2 | — | 2 | 2 | no | — |
| 359 | C2 | — | 8 | 2 | no | — |
| 360 | C2 | #21449103 | 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