Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
615 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 615 conjugacy classes of subgroups — too many to draw. Only its 104 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #62635 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13625 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#1418 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#1418 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13620 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13558 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #12843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #3584 | — | 2 | 1 | no | — |
| 9 | #3417 | — | 2 | 1 | no | — |
| 10 | #3417 | C4 | 1 | 2 | yes | complemented |
| 11 | #3416 | — | 2 | 2 | no | — |
| 12 | #3416 | — | 2 | 2 | no | — |
| 13 | #3415 | — | 2 | 1 | no | — |
| 14 | #3415 | C4 | 1 | 2 | yes | complemented |
| 15 | #3414 | — | 2 | 2 | no | — |
| 16 | #3414 | — | 2 | 1 | no | — |
| 17 | C2×#508 | — | 2 | 2 | no | — |
| 18 | C2×#508 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#508 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#504 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×M64 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×M64 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#368 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#367 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #1816 | — | 2 | 1 | no | — |
| 26 | #1420 | — | 2 | 1 | no | — |
| 27 | #1419 | — | 2 | 1 | no | — |
| 28 | #1418 | — | 2 | 2 | no | — |
| 29 | #1418 | — | 2 | 2 | no | — |
| 30 | #1417 | — | 2 | 2 | no | — |
| 31 | #1401 | — | 2 | 2 | no | — |
| 32 | #1387 | — | 2 | 1 | no | — |
| 33 | #585 | — | 4 | 1 | no | — |
| 34 | #578 | — | 2 | 2 | no | — |
| 35 | #578 | — | 2 | 2 | no | — |
| 36 | #577 | — | 4 | 2 | no | — |
| 37 | #577 | — | 4 | 2 | no | — |
| 38 | #576 | — | 2 | 2 | no | — |
| 39 | #576 | — | 2 | 2 | no | — |
| 40 | #575 | — | 4 | 2 | no | — |
| 41 | #575 | — | 4 | 1 | no | — |
| 42 | C2×#135 | — | 2 | 4 | no | — |
| 43 | C2×#135 | — | 2 | 1 | no | — |
| 44 | C2×#135 | — | 2 | 1 | no | — |
| 45 | C2×#131 | D4 | 1 | 1 | yes | characteristic |
| 46 | #510 | — | 2 | 2 | no | — |
| 47 | #510 | — | 2 | 4 | no | — |
| 48 | #510 | — | 2 | 4 | no | — |
| 49 | #510 | — | 2 | 2 | no | — |
| 50 | #509 | — | 2 | 2 | no | — |
| 51 | #509 | — | 2 | 4 | no | — |
| 52 | #509 | — | 2 | 4 | no | — |
| 53 | #509 | — | 2 | 2 | no | — |
| 54 | #508 | — | 2 | 4 | no | — |
| 55 | #508 | — | 2 | 4 | no | — |
| 56 | #508 | — | 2 | 2 | no | — |
| 57 | #508 | — | 2 | 2 | no | — |
| 58 | #508 | — | 2 | 1 | no | — |
| 59 | #508 | — | 2 | 1 | no | — |
| 60 | #508 | — | 2 | 1 | no | — |
| 61 | #508 | — | 2 | 1 | no | — |
| 62 | #508 | C2×C4 | 1 | 2 | yes | — |
| 63 | #508 | D4 | 1 | 2 | yes | — |
| 64 | #508 | D4 | 1 | 2 | yes | — |
| 65 | #508 | D4 | 1 | 2 | yes | — |
| 66 | C2×Q32 | — | 2 | 2 | no | — |
| 67 | C2×Q32 | C2×C4 | 1 | 1 | yes | characteristic |
| 68 | C2×Q32 | D4 | 1 | 1 | yes | characteristic |
| 69 | C2×SD32 | — | 2 | 4 | no | — |
| 70 | C2×SD32 | — | 2 | 1 | no | — |
| 71 | C2×SD32 | — | 2 | 1 | no | — |
| 72 | C2×D16 | — | 2 | 2 | no | — |
| 73 | C2×D16 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | C2×D16 | D4 | 1 | 1 | yes | characteristic |
| 75 | #504 | — | 2 | 1 | no | — |
| 76 | #504 | — | 2 | 1 | no | — |
| 77 | #504 | C2×C4 | 1 | 2 | yes | — |
| 78 | #504 | D4 | 1 | 2 | yes | — |
| 79 | C2×M32 | — | 2 | 1 | no | — |
| 80 | C2×M32 | D4 | 1 | 1 | yes | characteristic |
| 81 | C22×C16 | — | 2 | 1 | no | — |
| 82 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×#108 | — | 2 | 1 | no | — |
| 84 | C2×#107 | — | 2 | 1 | no | — |
| 85 | #417 | — | 4 | 1 | no | — |
| 86 | M64 | — | 2 | 1 | no | — |
| 87 | M64 | — | 2 | 1 | no | — |
| 88 | M64 | — | 2 | 1 | no | — |
| 89 | M64 | — | 2 | 1 | no | — |
| 90 | C2×C32 | — | 2 | 1 | no | — |
| 91 | C2×C32 | — | 2 | 1 | no | — |
| 92 | #368 | — | 2 | 1 | no | — |
| 93 | #368 | — | 2 | 1 | no | — |
| 94 | #367 | — | 2 | 1 | no | — |
| 95 | #367 | — | 2 | 1 | no | — |
| 96 | #343 | — | 4 | 1 | no | — |
| 97 | 2−1+4 | — | 4 | 2 | no | — |
| 98 | 2−1+4 | — | 4 | 2 | no | — |
| 99 | 2−1+4 | — | 8 | 1 | no | — |
| 100 | H(5,𝔽2) | — | 4 | 2 | no | — |
| 101 | H(5,𝔽2) | — | 4 | 2 | no | — |
| 102 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 103 | H(5,𝔽2) | — | 8 | 1 | no | — |
| 104 | C2×#41 | — | 4 | 4 | no | — |
| 105 | C2×#41 | — | 4 | 1 | no | — |
| 106 | C2×#41 | — | 4 | 1 | no | — |
| 107 | C2×#41 | — | 8 | 2 | no | — |
| 108 | C2×#41 | — | 8 | 2 | no | — |
| 109 | C2×#41 | D8 | 1 | 1 | yes | characteristic |
| 110 | #137 | — | 4 | 2 | no | — |
| 111 | #137 | — | 4 | 4 | no | — |
| 112 | #137 | — | 4 | 4 | no | — |
| 113 | #137 | — | 4 | 2 | no | — |
| 114 | AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 115 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 116 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 117 | AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 118 | #135 | — | 2 | 4 | no | — |
| 119 | #135 | — | 2 | 4 | no | — |
| 120 | #135 | — | 2 | 2 | no | — |
| 121 | #135 | — | 2 | 2 | no | — |
| 122 | #135 | — | 2 | 2 | no | — |
| 123 | #135 | — | 2 | 2 | no | — |
| 124 | #135 | — | 4 | 4 | no | — |
| 125 | #135 | — | 4 | 4 | no | — |
| 126 | #135 | — | 4 | 1 | no | — |
| 127 | #135 | — | 4 | 1 | no | — |
| 128 | #135 | — | 4 | 1 | no | — |
| 129 | #135 | — | 4 | 1 | no | — |
| 130 | C2×Q16 | — | 2 | 4 | no | — |
| 131 | C2×Q16 | — | 2 | 1 | no | — |
| 132 | C2×Q16 | — | 2 | 1 | no | — |
| 133 | C2×SD16 | — | 4 | 4 | no | — |
| 134 | C2×SD16 | — | 4 | 1 | no | — |
| 135 | C2×SD16 | — | 4 | 1 | no | — |
| 136 | C2×D8 | — | 2 | 4 | no | — |
| 137 | C2×D8 | — | 2 | 1 | no | — |
| 138 | C2×D8 | — | 2 | 1 | no | — |
| 139 | #131 | — | 2 | 1 | no | — |
| 140 | #131 | — | 2 | 1 | no | — |
| 141 | #131 | C22⋊C4 | 1 | 2 | yes | — |
| 142 | #131 | SD16 | 1 | 2 | yes | — |
| 143 | C2×M16 | — | 2 | 1 | no | — |
| 144 | C2×M16 | — | 4 | 1 | no | — |
| 145 | C2×M16 | D8 | 1 | 1 | yes | characteristic |
| 146 | C22×C8 | — | 2 | 1 | no | — |
| 147 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 149 | Q32 | — | 2 | 4 | no | — |
| 150 | Q32 | — | 2 | 1 | no | — |
| 151 | Q32 | — | 2 | 1 | no | — |
| 152 | Q32 | C22⋊C4 | 1 | 2 | yes | — |
| 153 | Q32 | C22⋊C4 | 1 | 2 | yes | — |
| 154 | SD32 | — | 2 | 4 | no | — |
| 155 | SD32 | — | 2 | 4 | no | — |
| 156 | SD32 | — | 2 | 2 | no | — |
| 157 | SD32 | — | 2 | 2 | no | — |
| 158 | SD32 | — | 2 | 2 | no | — |
| 159 | SD32 | — | 2 | 2 | no | — |
| 160 | D16 | — | 2 | 4 | no | — |
| 161 | D16 | — | 2 | 1 | no | — |
| 162 | D16 | — | 2 | 1 | no | — |
| 163 | D16 | C22⋊C4 | 1 | 2 | yes | — |
| 164 | D16 | C22⋊C4 | 1 | 2 | yes | — |
| 165 | M32 | — | 2 | 1 | no | — |
| 166 | M32 | — | 2 | 2 | no | — |
| 167 | M32 | — | 2 | 2 | no | — |
| 168 | M32 | C22⋊C4 | 1 | 2 | yes | — |
| 169 | C2×C16 | — | 2 | 1 | no | — |
| 170 | C2×C16 | — | 2 | 2 | no | — |
| 171 | C2×C16 | — | 2 | 2 | no | — |
| 172 | C2×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 173 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 177 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | #108 | — | 4 | 1 | no | — |
| 179 | #108 | — | 4 | 1 | no | — |
| 180 | #107 | — | 4 | 1 | no | — |
| 181 | #107 | — | 4 | 1 | no | — |
| 182 | #103 | — | 8 | 1 | no | — |
| 183 | #102 | — | 8 | 1 | no | — |
| 184 | C32 | — | 4 | 1 | no | — |
| 185 | C32 | — | 4 | 1 | no | — |
| 186 | #41 | — | 2 | 1 | no | — |
| 187 | #41 | — | 2 | 1 | no | — |
| 188 | #41 | — | 4 | 4 | no | — |
| 189 | #41 | — | 4 | 4 | no | — |
| 190 | #41 | — | 4 | 2 | no | — |
| 191 | #41 | — | 4 | 2 | no | — |
| 192 | #41 | — | 4 | 2 | no | — |
| 193 | #41 | — | 4 | 2 | no | — |
| 194 | #41 | — | 8 | 4 | no | — |
| 195 | #41 | — | 8 | 4 | no | — |
| 196 | #41 | — | 8 | 4 | no | — |
| 197 | #41 | — | 8 | 4 | no | — |
| 198 | #41 | — | 8 | 2 | no | — |
| 199 | #41 | — | 8 | 2 | no | — |
| 200 | #41 | — | 8 | 2 | no | — |
| 201 | #41 | — | 8 | 2 | no | — |
| 202 | #41 | — | 8 | 1 | no | — |
| 203 | #41 | — | 8 | 1 | no | — |
| 204 | #41 | — | 8 | 1 | no | — |
| 205 | #41 | — | 8 | 1 | no | — |
| 206 | #41 | #102 | 1 | 2 | yes | — |
| 207 | #41 | SD32 | 1 | 2 | yes | — |
| 208 | C2×Q8 | — | 4 | 4 | no | — |
| 209 | C2×Q8 | — | 4 | 1 | no | — |
| 210 | C2×Q8 | — | 4 | 1 | no | — |
| 211 | C2×Q8 | — | 8 | 2 | no | — |
| 212 | C2×Q8 | — | 8 | 2 | no | — |
| 213 | C2×Q8 | D16 | 1 | 1 | yes | characteristic |
| 214 | C2×D4 | — | 2 | 1 | no | — |
| 215 | C2×D4 | — | 4 | 4 | no | — |
| 216 | C2×D4 | — | 4 | 1 | no | — |
| 217 | C2×D4 | — | 4 | 1 | no | — |
| 218 | C2×D4 | — | 8 | 4 | no | — |
| 219 | C2×D4 | — | 8 | 4 | no | — |
| 220 | C2×D4 | — | 8 | 2 | no | — |
| 221 | C2×D4 | — | 8 | 4 | no | — |
| 222 | C2×D4 | — | 8 | 1 | no | — |
| 223 | C2×D4 | — | 8 | 1 | no | — |
| 224 | C2×D4 | — | 8 | 2 | no | — |
| 225 | C2×D4 | D16 | 1 | 1 | yes | characteristic |
| 226 | C22×C4 | — | 2 | 1 | no | — |
| 227 | C22×C4 | — | 8 | 4 | no | — |
| 228 | C22×C4 | — | 8 | 1 | no | — |
| 229 | C22×C4 | — | 8 | 1 | no | — |
| 230 | C22×C4 | — | 8 | 1 | no | — |
| 231 | C22×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 232 | Q16 | — | 2 | 2 | no | — |
| 233 | Q16 | — | 2 | 2 | no | — |
| 234 | Q16 | — | 4 | 4 | no | — |
| 235 | Q16 | — | 4 | 1 | no | — |
| 236 | Q16 | — | 4 | 1 | no | — |
| 237 | SD16 | — | 4 | 4 | no | — |
| 238 | SD16 | — | 4 | 4 | no | — |
| 239 | SD16 | — | 4 | 2 | no | — |
| 240 | SD16 | — | 4 | 2 | no | — |
| 241 | SD16 | — | 4 | 2 | no | — |
| 242 | SD16 | — | 4 | 2 | no | — |
| 243 | D8 | — | 2 | 2 | no | — |
| 244 | D8 | — | 2 | 2 | no | — |
| 245 | D8 | — | 4 | 4 | no | — |
| 246 | D8 | — | 4 | 1 | no | — |
| 247 | D8 | — | 4 | 1 | no | — |
| 248 | M16 | — | 2 | 1 | no | — |
| 249 | M16 | — | 2 | 2 | no | — |
| 250 | M16 | — | 2 | 2 | no | — |
| 251 | M16 | — | 8 | 1 | no | — |
| 252 | M16 | — | 8 | 1 | no | — |
| 253 | M16 | #102 | 1 | 2 | yes | — |
| 254 | C2×C8 | — | 2 | 1 | no | — |
| 255 | C2×C8 | — | 2 | 2 | no | — |
| 256 | C2×C8 | — | 2 | 2 | no | — |
| 257 | C2×C8 | — | 8 | 1 | no | — |
| 258 | C2×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 259 | C2×C8 | #120 | 1 | 1 | yes | characteristic |
| 260 | C2×C8 | #120 | 1 | 1 | yes | characteristic |
| 261 | C2×C8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 262 | C2×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 263 | C2×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 264 | C4⋊C4 | — | 8 | 1 | no | — |
| 265 | C4⋊C4 | — | 8 | 1 | no | — |
| 266 | C16 | — | 2 | 2 | no | — |
| 267 | C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 268 | C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 269 | C16 | #120 | 1 | 1 | yes | characteristic |
| 270 | C16 | #120 | 1 | 1 | yes | characteristic |
| 271 | C23 | — | 2 | 1 | no | — |
| 272 | C23 | — | 8 | 4 | no | — |
| 273 | C23 | — | 8 | 1 | no | — |
| 274 | C23 | — | 8 | 1 | no | — |
| 275 | C23 | #509 | 1 | 1 | yes | characteristic |
| 276 | Q8 | — | 2 | 1 | no | — |
| 277 | Q8 | — | 4 | 2 | no | — |
| 278 | Q8 | — | 4 | 2 | no | — |
| 279 | Q8 | — | 8 | 4 | no | — |
| 280 | Q8 | — | 8 | 1 | no | — |
| 281 | Q8 | — | 8 | 1 | no | — |
| 282 | Q8 | #357 | 1 | 2 | yes | — |
| 283 | D4 | — | 2 | 2 | no | — |
| 284 | D4 | — | 2 | 2 | no | — |
| 285 | D4 | — | 2 | 1 | no | — |
| 286 | D4 | — | 4 | 2 | no | — |
| 287 | D4 | — | 4 | 2 | no | — |
| 288 | D4 | — | 8 | 4 | no | — |
| 289 | D4 | — | 8 | 4 | no | — |
| 290 | D4 | — | 8 | 4 | no | — |
| 291 | D4 | — | 8 | 2 | no | — |
| 292 | D4 | — | 8 | 2 | no | — |
| 293 | D4 | — | 8 | 2 | no | — |
| 294 | D4 | — | 8 | 2 | no | — |
| 295 | D4 | — | 8 | 1 | no | — |
| 296 | D4 | — | 8 | 1 | no | — |
| 297 | D4 | #357 | 1 | 2 | yes | — |
| 298 | C2×C4 | — | 2 | 1 | no | — |
| 299 | C2×C4 | — | 2 | 2 | no | — |
| 300 | C2×C4 | — | 2 | 2 | no | — |
| 301 | C2×C4 | — | 8 | 4 | no | — |
| 302 | C2×C4 | — | 8 | 4 | no | — |
| 303 | C2×C4 | — | 8 | 4 | no | — |
| 304 | C2×C4 | — | 8 | 1 | no | — |
| 305 | C2×C4 | — | 8 | 1 | no | — |
| 306 | C2×C4 | — | 8 | 2 | no | — |
| 307 | C2×C4 | — | 8 | 2 | no | — |
| 308 | C2×C4 | — | 8 | 2 | no | — |
| 309 | C2×C4 | — | 8 | 2 | no | — |
| 310 | C2×C4 | — | 16 | 1 | no | — |
| 311 | C2×C4 | — | 32 | 1 | no | — |
| 312 | C2×C4 | C2×#102 | 1 | 1 | yes | characteristic |
| 313 | C2×C4 | #447 | 1 | 1 | yes | characteristic |
| 314 | C2×C4 | #447 | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | C2×D16 | 1 | 1 | yes | characteristic |
| 316 | C2×C4 | C2×SD32 | 1 | 1 | yes | characteristic |
| 317 | C2×C4 | #509 | 1 | 1 | yes | characteristic |
| 318 | C8 | — | 2 | 2 | no | — |
| 319 | C8 | — | 16 | 1 | no | — |
| 320 | C8 | #379 | 1 | 1 | yes | characteristic |
| 321 | C8 | #418 | 1 | 1 | yes | characteristic |
| 322 | C8 | #450 | 1 | 1 | yes | characteristic |
| 323 | C8 | #450 | 1 | 1 | yes | characteristic |
| 324 | C22 | — | 2 | 2 | no | — |
| 325 | C22 | — | 4 | 1 | no | — |
| 326 | C22 | — | 8 | 1 | no | — |
| 327 | C22 | — | 8 | 2 | no | — |
| 328 | C22 | — | 8 | 2 | no | — |
| 329 | C22 | — | 32 | 1 | no | — |
| 330 | C22 | — | 32 | 1 | no | — |
| 331 | C22 | — | 32 | 4 | no | — |
| 332 | C22 | #2140 | 1 | 1 | yes | characteristic |
| 333 | C22 | #2184 | 1 | 1 | yes | characteristic |
| 334 | C22 | #2187 | 1 | 1 | yes | characteristic |
| 335 | C4 | — | 2 | 2 | no | — |
| 336 | C4 | — | 8 | 2 | no | — |
| 337 | C4 | — | 8 | 2 | no | — |
| 338 | C4 | — | 32 | 1 | no | — |
| 339 | C4 | #1786 | 1 | 1 | yes | characteristic |
| 340 | C4 | C2×#357 | 1 | 1 | yes | characteristic |
| 341 | C4 | #2184 | 1 | 1 | yes | characteristic |
| 342 | C4 | #2187 | 1 | 1 | yes | characteristic |
| 343 | C2 | — | 2 | 1 | no | — |
| 344 | C2 | — | 2 | 1 | no | — |
| 345 | C2 | — | 2 | 1 | no | — |
| 346 | C2 | — | 4 | 2 | no | — |
| 347 | C2 | — | 16 | 2 | no | — |
| 348 | C2 | — | 16 | 2 | no | — |
| 349 | C2 | #12731 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #12731 |
| commutator | C2×C16 | C22×C4 |
| Frattini, cosocle | C22×C16 | C23 |
| prime radical | #62635 | C2 |
| LCS | G ▷ C2×C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C2×#131 ◁ C2×#504 ◁ G | |
| LECS | G ▷ C22×C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13625 | C2 | semidirect |
| 3. C2×#1418 | C2 | semidirect |
| 4. C2×#1418 | C2 | semidirect |
| 5. #13620 | C2 | semidirect |
| 6. #13558 | C2 | semidirect |
| 7. #12843 | C2 | semidirect |
| 10. #3417 | C4 | semidirect |
| 14. #3415 | C4 | semidirect |
| 21. C2×M64 | C22 | semidirect |
| 22. C2×M64 | C22 | semidirect |
| 23. C2×#368 | C22 | semidirect |
| 24. C2×#367 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #62635 | 2 |
| #13625 | 2 |
| C2×#1418 | 2 |
| #13620 | 2 |
| #13558 | 2 |
| #12843 | 2 |