← #33112553
Subgroups — #33112553
Order 18688.
688 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #22620388 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22610425 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #22610423 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #22610407 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22610401 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #22610325 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22610313 | C2 | 1 | 2 | yes | maximal |
| 8 | #22610077 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C73×#1886 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#14556622 | C22 | 1 | 2 | yes | — |
| 11 | C2×#14556622 | C22 | 1 | 2 | yes | — |
| 12 | #17989353 | C22 | 1 | 2 | yes | — |
| 13 | #17989137 | C22 | 1 | 1 | yes | characteristic |
| 14 | #17989065 | C22 | 1 | 1 | yes | characteristic |
| 15 | #17988979 | C4 | 1 | 4 | yes | complemented |
| 16 | #17988966 | C4 | 1 | 2 | yes | complemented |
| 17 | #17988961 | C4 | 1 | 2 | yes | complemented |
| 18 | #17988605 | C22 | 1 | 2 | yes | — |
| 19 | #17988603 | C22 | 1 | 2 | yes | — |
| 20 | #17988596 | C22 | 1 | 2 | yes | — |
| 21 | C2×#14556510 | C22 | 1 | 1 | yes | characteristic |
| 22 | #17988560 | C22 | 1 | 2 | yes | — |
| 23 | C4×#11924012 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17988359 | C22 | 1 | 2 | yes | — |
| 25 | #17988357 | C22 | 1 | 2 | yes | — |
| 26 | #17988347 | C22 | 1 | 2 | yes | — |
| 27 | #17988345 | C22 | 1 | 2 | yes | — |
| 28 | #17988343 | C22 | 1 | 2 | yes | — |
| 29 | C2×C4⋊Q8×C73 | C22 | 1 | 1 | yes | characteristic |
| 30 | #519×C73 | C22 | 1 | 1 | yes | characteristic |
| 31 | #419×C73 | C22 | 1 | 2 | yes | — |
| 32 | C2×#101×C73 | C22 | 1 | 1 | yes | characteristic |
| 33 | #339×C73 | C22 | 1 | 2 | yes | — |
| 34 | C2×#11924028 | C23 | 1 | 2 | yes | — |
| 35 | #14556622 | — | 4 | 2 | no | — |
| 36 | #14556622 | — | 4 | 2 | no | — |
| 37 | #14556622 | — | 4 | 2 | no | — |
| 38 | #14556622 | — | 4 | 2 | no | — |
| 39 | C2×#11924018 | C2×C4 | 1 | 4 | yes | — |
| 40 | C2×#11924018 | C2×C4 | 1 | 4 | yes | — |
| 41 | C2×#11924015 | C2×C4 | 1 | 4 | yes | — |
| 42 | C2×#11924015 | C2×C4 | 1 | 4 | yes | — |
| 43 | #14556599 | — | 4 | 2 | no | — |
| 44 | #14556597 | — | 4 | 2 | no | — |
| 45 | C2×#11924012 | C23 | 1 | 2 | yes | — |
| 46 | C2×#11924012 | C23 | 1 | 2 | yes | — |
| 47 | M16×D73 | — | 4 | 2 | no | — |
| 48 | #14556591 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | #14556588 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | #14556579 | C2×C4 | 1 | 2 | yes | — |
| 51 | #14556565 | — | 4 | 1 | no | — |
| 52 | Q8×Dic73 | — | 4 | 2 | no | — |
| 53 | C4×D292 | — | 4 | 1 | no | — |
| 54 | #14556550 | — | 4 | 1 | no | — |
| 55 | #14556550 | C23 | 1 | 2 | yes | — |
| 56 | #14556519 | — | 4 | 2 | no | — |
| 57 | #14556517 | — | 4 | 2 | no | — |
| 58 | #14556515 | — | 4 | 2 | no | — |
| 59 | #14556510 | — | 4 | 1 | no | — |
| 60 | #14556505 | — | 4 | 2 | no | — |
| 61 | #14556502 | C2×C4 | 1 | 2 | yes | — |
| 62 | C4×#10596831 | C2×C4 | 1 | 2 | yes | — |
| 63 | C22×Q8×C73 | C23 | 1 | 1 | yes | characteristic |
| 64 | C22×Q8×C73 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×M16×C73 | C23 | 1 | 2 | yes | — |
| 66 | C4⋊Q8×C73 | — | 4 | 1 | no | — |
| 67 | C4⋊Q8×C73 | C2×C4 | 1 | 2 | yes | — |
| 68 | C4⋊Q8×C73 | C2×C4 | 1 | 2 | yes | — |
| 69 | C4×Q8×C73 | — | 4 | 2 | no | — |
| 70 | #117×C73 | — | 4 | 1 | no | — |
| 71 | #117×C73 | C23 | 1 | 2 | yes | — |
| 72 | C2×C4⋊C4×C73 | — | 4 | 1 | no | — |
| 73 | C2×C42×C73 | C23 | 1 | 1 | yes | characteristic |
| 74 | #103×C73 | — | 4 | 2 | no | — |
| 75 | #101×C73 | — | 4 | 1 | no | — |
| 76 | #11924028 | — | 2 | 2 | no | — |
| 77 | #11924028 | — | 2 | 2 | no | — |
| 78 | #11924028 | — | 2 | 2 | no | — |
| 79 | #11924028 | — | 2 | 2 | no | — |
| 80 | C2×Dic146 | C22×C4 | 1 | 2 | yes | — |
| 81 | C2×D292 | — | 4 | 1 | no | — |
| 82 | C2×D292 | C22×C4 | 1 | 2 | yes | — |
| 83 | C2×C22⋊D73 | — | 2 | 2 | no | — |
| 84 | C2×C4×D73 | — | 2 | 2 | no | — |
| 85 | #11924018 | — | 4 | 4 | no | — |
| 86 | #11924018 | — | 4 | 4 | no | — |
| 87 | #11924015 | — | 4 | 4 | no | — |
| 88 | #11924015 | — | 4 | 4 | no | — |
| 89 | #11924012 | — | 2 | 2 | no | — |
| 90 | #11924012 | — | 2 | 2 | no | — |
| 91 | #11924012 | — | 2 | 2 | no | — |
| 92 | #11924012 | — | 2 | 2 | no | — |
| 93 | #11924011 | — | 4 | 4 | no | — |
| 94 | C2×#10596831 | — | 2 | 2 | no | — |
| 95 | C2×#10596831 | C22×C4 | 1 | 4 | yes | — |
| 96 | C8×D73 | — | 4 | 4 | no | — |
| 97 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 98 | C4⋊Dic73 | — | 4 | 1 | no | — |
| 99 | C4⋊Dic73 | — | 4 | 2 | no | — |
| 100 | C22⋊Dic73 | — | 2 | 2 | no | — |
| 101 | #11924005 | — | 4 | 2 | no | — |
| 102 | C4×Dic73 | — | 2 | 2 | no | — |
| 103 | C4×Dic73 | — | 4 | 2 | no | — |
| 104 | C2×Q8×C73 | — | 2 | 1 | no | — |
| 105 | C2×Q8×C73 | — | 2 | 1 | no | — |
| 106 | C2×Q8×C73 | — | 2 | 2 | no | — |
| 107 | C2×Q8×C73 | — | 2 | 2 | no | — |
| 108 | C2×Q8×C73 | — | 2 | 2 | no | — |
| 109 | C2×Q8×C73 | — | 2 | 2 | no | — |
| 110 | C2×Q8×C73 | C22×C4 | 1 | 2 | yes | — |
| 111 | C2×Q8×C73 | C22×C4 | 1 | 2 | yes | — |
| 112 | C22×C4×C73 | — | 2 | 1 | no | — |
| 113 | C22×C4×C73 | — | 2 | 1 | no | — |
| 114 | C22×C4×C73 | — | 2 | 1 | no | — |
| 115 | C22×C4×C73 | C24 | 1 | 1 | yes | characteristic |
| 116 | M16×C73 | — | 2 | 2 | no | — |
| 117 | M16×C73 | — | 2 | 2 | no | — |
| 118 | C2×C8×C73 | — | 2 | 2 | no | — |
| 119 | C4⋊C4×C73 | — | 2 | 2 | no | — |
| 120 | C4⋊C4×C73 | — | 4 | 2 | no | — |
| 121 | C4⋊C4×C73 | — | 4 | 2 | no | — |
| 122 | C4⋊C4×C73 | — | 4 | 2 | no | — |
| 123 | C22⋊C4×C73 | — | 2 | 2 | no | — |
| 124 | C42×C73 | — | 2 | 1 | no | — |
| 125 | C42×C73 | — | 2 | 2 | no | — |
| 126 | C42×C73 | — | 4 | 2 | no | — |
| 127 | C42×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | C42×C73 | C22×C4 | 1 | 1 | yes | characteristic |
| 129 | C23×C73 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 130 | C22×D73 | — | 2 | 2 | no | — |
| 131 | Q8×C73 | — | 2 | 4 | no | — |
| 132 | Q8×C73 | — | 2 | 4 | no | — |
| 133 | Q8×C73 | — | 4 | 2 | no | — |
| 134 | Q8×C73 | — | 4 | 2 | no | — |
| 135 | C2×C4×C73 | — | 2 | 1 | no | — |
| 136 | C2×C4×C73 | — | 2 | 1 | no | — |
| 137 | C2×C4×C73 | — | 2 | 2 | no | — |
| 138 | C2×C4×C73 | — | 2 | 2 | no | — |
| 139 | C2×C4×C73 | — | 4 | 2 | no | — |
| 140 | C2×C4×C73 | — | 4 | 1 | no | — |
| 141 | C2×C4×C73 | — | 4 | 1 | no | — |
| 142 | C2×C4×C73 | — | 4 | 1 | no | — |
| 143 | C2×C4×C73 | — | 4 | 1 | no | — |
| 144 | C2×C4×C73 | — | 4 | 2 | no | — |
| 145 | C2×C4×C73 | C23×C4 | 1 | 1 | yes | characteristic |
| 146 | C2×C4×C73 | H(5,𝔽2) | 1 | 2 | yes | — |
| 147 | C2×C4×C73 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 148 | C2×C4×C73 | H(5,𝔽2) | 1 | 2 | yes | — |
| 149 | C22⋊D73 | — | 4 | 2 | no | — |
| 150 | C22⋊D73 | — | 4 | 2 | no | — |
| 151 | C2×Dic73 | — | 2 | 2 | no | — |
| 152 | C2×Dic73 | — | 4 | 2 | no | — |
| 153 | D292 | — | 2 | 2 | no | — |
| 154 | D292 | — | 2 | 2 | no | — |
| 155 | D292 | — | 8 | 2 | no | — |
| 156 | C4×D73 | — | 4 | 2 | no | — |
| 157 | C4×D73 | — | 4 | 2 | no | — |
| 158 | Dic146 | — | 2 | 2 | no | — |
| 159 | Dic146 | — | 2 | 2 | no | — |
| 160 | C8×C73 | — | 4 | 2 | no | — |
| 161 | #10596831 | — | 2 | 4 | no | — |
| 162 | #10596831 | — | 4 | 2 | no | — |
| 163 | C22×C73 | — | 4 | 1 | no | — |
| 164 | C22×C73 | #518 | 1 | 1 | yes | characteristic |
| 165 | C22×C73 | #560 | 1 | 1 | yes | characteristic |
| 166 | C22×C73 | #560 | 1 | 1 | yes | characteristic |
| 167 | C2×D73 | — | 4 | 2 | no | — |
| 168 | C2×D73 | — | 8 | 2 | no | — |
| 169 | C4×C73 | — | 2 | 2 | no | — |
| 170 | C4×C73 | — | 4 | 1 | no | — |
| 171 | C4×C73 | — | 4 | 2 | no | — |
| 172 | C4×C73 | — | 4 | 2 | no | — |
| 173 | C4×C73 | — | 8 | 2 | no | — |
| 174 | C4×C73 | #518 | 1 | 2 | yes | — |
| 175 | C4×C73 | #560 | 1 | 2 | yes | — |
| 176 | Dic73 | — | 4 | 2 | no | — |
| 177 | Dic73 | — | 8 | 2 | no | — |
| 178 | #23360 | — | 73 | 1 | no | maximal, Sylow |
| 179 | C2×C73 | — | 2 | 1 | no | — |
| 180 | C2×C73 | — | 2 | 1 | no | — |
| 181 | C2×C73 | — | 2 | 1 | no | — |
| 182 | C2×C73 | #2380 | 1 | 1 | yes | characteristic |
| 183 | D73 | — | 8 | 2 | no | — |
| 184 | #3152 | — | 73 | 1 | no | — |
| 185 | #1905 | — | 73 | 2 | no | — |
| 186 | #1905 | — | 73 | 2 | no | — |
| 187 | #1902 | — | 73 | 2 | no | — |
| 188 | #1902 | — | 73 | 2 | no | — |
| 189 | #1886 | — | 73 | 1 | no | — |
| 190 | #1886 | D73 | 1 | 1 | yes | characteristic, complemented |
| 191 | #1884 | — | 73 | 2 | no | — |
| 192 | #1841 | — | 73 | 2 | no | — |
| 193 | C73 | #23360 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 194 | C2×#137 | — | 73 | 2 | no | — |
| 195 | C2×#137 | — | 73 | 2 | no | — |
| 196 | #568 | — | 73 | 2 | no | — |
| 197 | #532 | — | 73 | 1 | no | — |
| 198 | C2×C4⋊Q8 | C2×D73 | 1 | 1 | yes | characteristic |
| 199 | #519 | — | 73 | 1 | no | — |
| 200 | #519 | C2×D73 | 1 | 1 | yes | characteristic |
| 201 | #497 | — | 73 | 4 | no | — |
| 202 | #494 | — | 73 | 2 | no | — |
| 203 | #492 | — | 73 | 2 | no | — |
| 204 | #421 | — | 73 | 2 | no | — |
| 205 | #421 | — | 73 | 2 | no | — |
| 206 | #419 | — | 73 | 2 | no | — |
| 207 | #419 | C2×D73 | 1 | 2 | yes | — |
| 208 | C2×#101 | — | 73 | 1 | no | — |
| 209 | C2×#101 | C2×D73 | 1 | 1 | yes | characteristic |
| 210 | #410 | — | 73 | 2 | no | — |
| 211 | C4×M16 | — | 73 | 1 | no | — |
| 212 | #344 | — | 73 | 2 | no | — |
| 213 | #344 | — | 73 | 2 | no | — |
| 214 | #339 | — | 73 | 2 | no | — |
| 215 | #339 | C2×D73 | 1 | 2 | yes | — |
| 216 | #338 | — | 73 | 2 | no | — |
| 217 | H(3,ℤ/4) | — | 73 | 2 | no | — |
| 218 | C2×#41 | — | 73 | 2 | no | — |
| 219 | C22×Q8 | C22×D73 | 1 | 1 | yes | characteristic |
| 220 | C22×Q8 | C22×D73 | 1 | 1 | yes | characteristic |
| 221 | #137 | — | 292 | 2 | no | — |
| 222 | #137 | — | 292 | 2 | no | — |
| 223 | #137 | — | 292 | 2 | no | — |
| 224 | #137 | — | 292 | 2 | no | — |
| 225 | C2×Q16 | — | 73 | 4 | no | — |
| 226 | C2×Q16 | — | 73 | 4 | no | — |
| 227 | C2×SD16 | — | 73 | 4 | no | — |
| 228 | C2×SD16 | — | 73 | 4 | no | — |
| 229 | #131 | — | 292 | 2 | no | — |
| 230 | #131 | — | 292 | 2 | no | — |
| 231 | C2×M16 | — | 292 | 2 | no | — |
| 232 | C2×M16 | — | 73 | 2 | no | — |
| 233 | C2×M16 | — | 73 | 2 | no | — |
| 234 | C2×M16 | C22×D73 | 1 | 2 | yes | — |
| 235 | C4⋊Q8 | — | 4 | 1 | no | — |
| 236 | C4⋊Q8 | — | 73 | 1 | no | — |
| 237 | C4⋊Q8 | C4×D73 | 1 | 2 | yes | — |
| 238 | C4⋊Q8 | C4×D73 | 1 | 2 | yes | — |
| 239 | #127 | — | 73 | 1 | no | — |
| 240 | #124 | — | 73 | 2 | no | — |
| 241 | #121 | — | 292 | 1 | no | — |
| 242 | C4×Q8 | — | 4 | 2 | no | — |
| 243 | C4×Q8 | — | 292 | 2 | no | — |
| 244 | C4×D4 | — | 292 | 1 | no | — |
| 245 | #117 | — | 4 | 1 | no | — |
| 246 | #117 | — | 292 | 1 | no | — |
| 247 | #117 | — | 73 | 2 | no | — |
| 248 | #117 | C22×D73 | 1 | 2 | yes | — |
| 249 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 250 | C2×C42 | C22×D73 | 1 | 1 | yes | characteristic |
| 251 | #104 | — | 292 | 2 | no | — |
| 252 | #104 | — | 292 | 2 | no | — |
| 253 | #103 | — | 4 | 2 | no | — |
| 254 | #103 | — | 292 | 2 | no | — |
| 255 | #101 | — | 4 | 1 | no | — |
| 256 | #101 | — | 292 | 1 | no | — |
| 257 | #99 | — | 292 | 2 | no | — |
| 258 | #97 | — | 73 | 2 | no | — |
| 259 | C4×C8 | — | 73 | 2 | no | — |
| 260 | #41 | — | 146 | 2 | no | — |
| 261 | #41 | — | 146 | 2 | no | — |
| 262 | #41 | — | 146 | 2 | no | — |
| 263 | #41 | — | 146 | 2 | no | — |
| 264 | C2×Q8 | — | 2 | 1 | no | — |
| 265 | C2×Q8 | — | 2 | 1 | no | — |
| 266 | C2×Q8 | — | 2 | 2 | no | — |
| 267 | C2×Q8 | — | 2 | 2 | no | — |
| 268 | C2×Q8 | — | 2 | 2 | no | — |
| 269 | C2×Q8 | — | 2 | 2 | no | — |
| 270 | C2×Q8 | — | 73 | 2 | no | — |
| 271 | C2×Q8 | C2×C4×D73 | 1 | 2 | yes | — |
| 272 | C2×Q8 | C2×C4×D73 | 1 | 2 | yes | — |
| 273 | C2×D4 | — | 292 | 1 | no | — |
| 274 | C2×D4 | — | 73 | 2 | no | — |
| 275 | C2×D4 | — | 146 | 2 | no | — |
| 276 | C22×C4 | — | 2 | 1 | no | — |
| 277 | C22×C4 | — | 2 | 1 | no | — |
| 278 | C22×C4 | — | 2 | 1 | no | — |
| 279 | C22×C4 | — | 146 | 2 | no | — |
| 280 | C22×C4 | C23×D73 | 1 | 1 | yes | characteristic |
| 281 | Q16 | — | 292 | 4 | no | — |
| 282 | Q16 | — | 292 | 4 | no | — |
| 283 | SD16 | — | 292 | 4 | no | — |
| 284 | SD16 | — | 292 | 4 | no | — |
| 285 | M16 | — | 2 | 2 | no | — |
| 286 | M16 | — | 2 | 2 | no | — |
| 287 | M16 | — | 292 | 4 | no | — |
| 288 | M16 | — | 146 | 2 | no | — |
| 289 | M16 | — | 146 | 2 | no | — |
| 290 | M16 | — | 146 | 2 | no | — |
| 291 | M16 | — | 146 | 2 | no | — |
| 292 | C2×C8 | — | 2 | 2 | no | — |
| 293 | C2×C8 | — | 292 | 4 | no | — |
| 294 | C2×C8 | — | 73 | 4 | no | — |
| 295 | C2×C8 | — | 146 | 2 | no | — |
| 296 | C4⋊C4 | — | 2 | 2 | no | — |
| 297 | C4⋊C4 | — | 4 | 2 | no | — |
| 298 | C4⋊C4 | — | 4 | 2 | no | — |
| 299 | C4⋊C4 | — | 4 | 2 | no | — |
| 300 | C4⋊C4 | — | 292 | 1 | no | — |
| 301 | C4⋊C4 | — | 292 | 2 | no | — |
| 302 | C4⋊C4 | — | 146 | 2 | no | — |
| 303 | C22⋊C4 | — | 2 | 2 | no | — |
| 304 | C22⋊C4 | — | 292 | 2 | no | — |
| 305 | C22⋊C4 | — | 146 | 2 | no | — |
| 306 | C42 | — | 2 | 1 | no | — |
| 307 | C42 | — | 2 | 2 | no | — |
| 308 | C42 | — | 4 | 2 | no | — |
| 309 | C42 | — | 292 | 2 | no | — |
| 310 | C42 | — | 146 | 2 | no | — |
| 311 | C42 | C2×C4×D73 | 1 | 1 | yes | characteristic |
| 312 | C42 | C2×C4×D73 | 1 | 1 | yes | characteristic |
| 313 | C23 | — | 146 | 2 | no | — |
| 314 | C23 | #14556636 | 1 | 1 | yes | characteristic |
| 315 | Q8 | — | 2 | 4 | no | — |
| 316 | Q8 | — | 2 | 4 | no | — |
| 317 | Q8 | — | 4 | 2 | no | — |
| 318 | Q8 | — | 4 | 2 | no | — |
| 319 | Q8 | — | 146 | 2 | no | — |
| 320 | Q8 | — | 146 | 2 | no | — |
| 321 | D4 | — | 292 | 2 | no | — |
| 322 | D4 | — | 292 | 2 | no | — |
| 323 | D4 | — | 584 | 2 | no | — |
| 324 | D4 | — | 146 | 2 | no | — |
| 325 | D4 | — | 146 | 2 | no | — |
| 326 | C2×C4 | — | 2 | 1 | no | — |
| 327 | C2×C4 | — | 2 | 1 | no | — |
| 328 | C2×C4 | — | 2 | 2 | no | — |
| 329 | C2×C4 | — | 2 | 2 | no | — |
| 330 | C2×C4 | — | 4 | 2 | no | — |
| 331 | C2×C4 | — | 4 | 1 | no | — |
| 332 | C2×C4 | — | 4 | 1 | no | — |
| 333 | C2×C4 | — | 4 | 1 | no | — |
| 334 | C2×C4 | — | 4 | 1 | no | — |
| 335 | C2×C4 | — | 4 | 2 | no | — |
| 336 | C2×C4 | — | 292 | 2 | no | — |
| 337 | C2×C4 | — | 292 | 2 | no | — |
| 338 | C2×C4 | — | 292 | 2 | no | — |
| 339 | C2×C4 | — | 146 | 2 | no | — |
| 340 | C2×C4 | C22×C4×D73 | 1 | 1 | yes | characteristic |
| 341 | C2×C4 | #14556636 | 1 | 2 | yes | — |
| 342 | C2×C4 | #14556636 | 1 | 1 | yes | characteristic |
| 343 | C2×C4 | #14556637 | 1 | 2 | yes | — |
| 344 | C8 | — | 4 | 2 | no | — |
| 345 | C8 | — | 292 | 2 | no | — |
| 346 | C8 | — | 146 | 4 | no | — |
| 347 | C22 | — | 4 | 1 | no | — |
| 348 | C22 | — | 292 | 2 | no | — |
| 349 | C22 | — | 584 | 2 | no | — |
| 350 | C22 | #17989060 | 1 | 1 | yes | characteristic |
| 351 | C22 | #17989326 | 1 | 1 | yes | characteristic |
| 352 | C22 | #17989327 | 1 | 1 | yes | characteristic |
| 353 | C4 | — | 2 | 2 | no | — |
| 354 | C4 | — | 4 | 1 | no | — |
| 355 | C4 | — | 4 | 2 | no | — |
| 356 | C4 | — | 4 | 2 | no | — |
| 357 | C4 | — | 8 | 2 | no | — |
| 358 | C4 | — | 292 | 2 | no | — |
| 359 | C4 | — | 584 | 2 | no | — |
| 360 | C4 | #17989059 | 1 | 2 | yes | — |
| 361 | C4 | #17989325 | 1 | 2 | yes | — |
| 362 | C2 | — | 2 | 1 | no | — |
| 363 | C2 | — | 2 | 1 | no | — |
| 364 | C2 | — | 2 | 1 | no | — |
| 365 | C2 | — | 584 | 2 | no | — |
| 366 | C2 | #22613106 | 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