← #72225333
Subgroups — #72225333
Order 2048.
507 conjugacy classes of subgroups.
The subgroup lattice has 359 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72225317 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #72225316 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #72225305 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #72223681 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C4×#7333 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #72216227 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #72216225 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C4×#1398 | C22 | 1 | 1 | yes | characteristic |
| 9 | C4×#1398 | C22 | 1 | 1 | yes | characteristic |
| 10 | #151040 | C4 | 1 | 1 | yes | characteristic |
| 11 | #151035 | C4 | 1 | 1 | yes | characteristic |
| 12 | #151024 | C4 | 1 | 2 | yes | — |
| 13 | C2×#7333 | C4 | 1 | 2 | yes | — |
| 14 | C2×#7333 | C4 | 1 | 2 | yes | — |
| 15 | #129101 | C22 | 1 | 1 | yes | characteristic |
| 16 | #129101 | C22 | 1 | 1 | yes | characteristic |
| 17 | #129090 | C22 | 1 | 1 | yes | characteristic |
| 18 | #129088 | C22 | 1 | 1 | yes | characteristic |
| 19 | #129063 | — | 2 | 1 | no | — |
| 20 | #129055 | — | 2 | 1 | no | — |
| 21 | C4×#1313 | C22 | 1 | 1 | yes | characteristic |
| 22 | #94031 | C4 | 1 | 2 | yes | — |
| 23 | #94029 | C4 | 1 | 1 | yes | characteristic |
| 24 | #94029 | C4 | 1 | 1 | yes | characteristic |
| 25 | #93273 | — | 2 | 1 | no | — |
| 26 | #93266 | — | 2 | 1 | no | — |
| 27 | C2×#1398 | — | 2 | 1 | no | — |
| 28 | C2×#1398 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | C2×#1398 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C2×#1398 | C2×C4 | 1 | 2 | yes | — |
| 31 | C2×#1398 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C2×#1398 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | C4×M64 | — | 2 | 1 | no | — |
| 34 | C4×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C4×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 36 | C4×#364 | — | 2 | 1 | no | — |
| 37 | C4×#364 | — | 2 | 1 | no | — |
| 38 | C4×#364 | — | 2 | 1 | no | — |
| 39 | C4×#346 | D4 | 1 | 1 | yes | characteristic |
| 40 | C4×#346 | C23 | 1 | 1 | yes | characteristic |
| 41 | C2×#1373 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C2×#1373 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C2×#1373 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×#1373 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C2×#1369 | C2×C4 | 1 | 2 | yes | — |
| 46 | #11999 | C2×C4 | 1 | 2 | yes | — |
| 47 | #11406 | — | 4 | 1 | no | — |
| 48 | #11404 | — | 4 | 1 | no | — |
| 49 | C2×#1313 | C2×C4 | 1 | 2 | yes | — |
| 50 | C2×#1313 | Q8 | 1 | 2 | yes | — |
| 51 | #8266 | — | 2 | 1 | no | — |
| 52 | C4×#322 | D4 | 1 | 1 | yes | characteristic |
| 53 | #7464 | C8 | 1 | 4 | yes | complemented |
| 54 | #7462 | C8 | 1 | 4 | yes | complemented |
| 55 | #7457 | — | 2 | 4 | no | — |
| 56 | #7333 | — | 2 | 4 | no | — |
| 57 | #7333 | — | 2 | 4 | no | — |
| 58 | #7161 | — | 2 | 1 | no | — |
| 59 | #7160 | — | 2 | 1 | no | — |
| 60 | #7160 | — | 2 | 1 | no | — |
| 61 | #7157 | — | 2 | 1 | no | — |
| 62 | #7140 | — | 4 | 1 | no | — |
| 63 | #7139 | — | 4 | 1 | no | — |
| 64 | C2×M64 | — | 2 | 2 | no | — |
| 65 | C2×M64 | C42 | 1 | 1 | yes | characteristic |
| 66 | C2×M64 | C42 | 1 | 1 | yes | characteristic |
| 67 | C2×M64 | C42 | 1 | 1 | yes | characteristic |
| 68 | C2×M64 | C42 | 1 | 1 | yes | characteristic |
| 69 | C2×#364 | — | 2 | 1 | no | — |
| 70 | C2×#364 | — | 2 | 1 | no | — |
| 71 | C2×#364 | — | 2 | 1 | no | — |
| 72 | C2×#364 | — | 2 | 1 | no | — |
| 73 | C2×#364 | — | 2 | 2 | no | — |
| 74 | C4×M32 | — | 4 | 1 | no | — |
| 75 | C4×M32 | — | 4 | 1 | no | — |
| 76 | C4×M32 | — | 4 | 1 | no | — |
| 77 | C2×#346 | — | 2 | 1 | no | — |
| 78 | C2×#346 | C4⋊C4 | 1 | 2 | yes | — |
| 79 | C2×#346 | C22×C4 | 1 | 1 | yes | characteristic |
| 80 | C2×#346 | C22×C4 | 1 | 1 | yes | characteristic |
| 81 | C2×#346 | C2×Q8 | 1 | 1 | yes | characteristic |
| 82 | C2×#346 | #41 | 1 | 1 | yes | characteristic |
| 83 | C2×C4×C16 | — | 2 | 1 | no | — |
| 84 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 85 | C2×C4×C16 | #41 | 1 | 1 | yes | characteristic |
| 86 | C42×C8 | — | 2 | 1 | no | — |
| 87 | C42×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 88 | #1564 | — | 2 | 2 | no | — |
| 89 | #1450 | — | 4 | 1 | no | — |
| 90 | C2×#322 | — | 2 | 1 | no | — |
| 91 | C2×#322 | C4⋊C4 | 1 | 2 | yes | — |
| 92 | #1398 | — | 2 | 2 | no | — |
| 93 | #1398 | — | 2 | 2 | no | — |
| 94 | #1398 | — | 2 | 2 | no | — |
| 95 | #1398 | — | 4 | 2 | no | — |
| 96 | #1398 | M16 | 1 | 4 | yes | — |
| 97 | #1398 | M16 | 1 | 4 | yes | — |
| 98 | #1398 | M16 | 1 | 4 | yes | — |
| 99 | #1397 | — | 2 | 1 | no | — |
| 100 | #1397 | — | 4 | 1 | no | — |
| 101 | #1397 | C2×C8 | 1 | 2 | yes | — |
| 102 | C4×C32 | — | 2 | 1 | no | — |
| 103 | C4×C32 | — | 4 | 1 | no | — |
| 104 | C4×C32 | C2×C8 | 1 | 2 | yes | — |
| 105 | #1376 | — | 4 | 1 | no | — |
| 106 | #1376 | — | 4 | 1 | no | — |
| 107 | #1376 | — | 4 | 1 | no | — |
| 108 | #1373 | — | 2 | 1 | no | — |
| 109 | #1373 | — | 2 | 1 | no | — |
| 110 | #1373 | — | 2 | 1 | no | — |
| 111 | #1373 | — | 2 | 1 | no | — |
| 112 | #1373 | C2×C8 | 1 | 2 | yes | — |
| 113 | #1373 | C2×C8 | 1 | 2 | yes | — |
| 114 | #1373 | C2×C8 | 1 | 2 | yes | — |
| 115 | #1373 | C2×C8 | 1 | 2 | yes | — |
| 116 | #1369 | — | 2 | 2 | no | — |
| 117 | #1369 | — | 2 | 2 | no | — |
| 118 | #1368 | — | 2 | 2 | no | — |
| 119 | #1368 | — | 2 | 2 | no | — |
| 120 | #1313 | — | 2 | 2 | no | — |
| 121 | #1313 | — | 2 | 2 | no | — |
| 122 | #1313 | — | 4 | 2 | no | — |
| 123 | #1313 | — | 8 | 2 | no | — |
| 124 | #1313 | — | 8 | 2 | no | — |
| 125 | #1276 | — | 4 | 1 | no | — |
| 126 | C2×M32 | — | 4 | 1 | no | — |
| 127 | C2×M32 | — | 4 | 1 | no | — |
| 128 | C2×M32 | — | 4 | 1 | no | — |
| 129 | C2×M32 | — | 4 | 1 | no | — |
| 130 | C2×M32 | — | 4 | 2 | no | — |
| 131 | C22×C16 | — | 2 | 2 | no | — |
| 132 | C22×C16 | C2×C42 | 1 | 1 | yes | characteristic |
| 133 | C22×C16 | #117 | 1 | 1 | yes | characteristic |
| 134 | C22×C16 | C4×Q8 | 1 | 1 | yes | characteristic |
| 135 | C22×C16 | C4×Q8 | 1 | 1 | yes | characteristic |
| 136 | #431 | — | 4 | 2 | no | — |
| 137 | C2×C4×C8 | — | 2 | 2 | no | — |
| 138 | C2×C4×C8 | — | 8 | 1 | no | — |
| 139 | C2×C4×C8 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 140 | C2×C4×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 141 | C2×C4×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 142 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 144 | C2×C4×C8 | #137 | 1 | 1 | yes | characteristic |
| 145 | C43 | #137 | 1 | 1 | yes | characteristic |
| 146 | M64 | — | 2 | 1 | no | — |
| 147 | M64 | — | 2 | 1 | no | — |
| 148 | M64 | — | 2 | 1 | no | — |
| 149 | M64 | — | 2 | 1 | no | — |
| 150 | M64 | — | 2 | 4 | no | — |
| 151 | M64 | — | 4 | 2 | no | — |
| 152 | M64 | #97 | 1 | 2 | yes | — |
| 153 | M64 | #97 | 1 | 2 | yes | — |
| 154 | M64 | #97 | 1 | 2 | yes | — |
| 155 | M64 | #97 | 1 | 2 | yes | — |
| 156 | C2×C32 | — | 2 | 1 | no | — |
| 157 | C2×C32 | — | 2 | 1 | no | — |
| 158 | C2×C32 | — | 4 | 2 | no | — |
| 159 | C2×C32 | C4×C8 | 1 | 2 | yes | — |
| 160 | C2×C32 | C4×C8 | 1 | 2 | yes | — |
| 161 | #364 | — | 2 | 2 | no | — |
| 162 | #364 | — | 2 | 2 | no | — |
| 163 | #364 | — | 2 | 2 | no | — |
| 164 | #364 | — | 2 | 2 | no | — |
| 165 | #364 | — | 4 | 2 | no | — |
| 166 | #364 | — | 4 | 1 | no | — |
| 167 | #364 | — | 4 | 1 | no | — |
| 168 | #364 | — | 4 | 1 | no | — |
| 169 | #364 | — | 4 | 1 | no | — |
| 170 | #364 | — | 4 | 2 | no | — |
| 171 | #346 | — | 2 | 2 | no | — |
| 172 | #346 | — | 2 | 2 | no | — |
| 173 | #346 | — | 2 | 2 | no | — |
| 174 | #346 | — | 2 | 2 | no | — |
| 175 | #346 | — | 4 | 1 | no | — |
| 176 | #346 | — | 4 | 1 | no | — |
| 177 | #346 | — | 8 | 1 | no | — |
| 178 | #346 | — | 8 | 1 | no | — |
| 179 | #346 | — | 8 | 1 | no | — |
| 180 | #346 | C2×M16 | 1 | 2 | yes | — |
| 181 | #346 | C2×M16 | 1 | 2 | yes | — |
| 182 | #346 | C2×M16 | 1 | 2 | yes | — |
| 183 | #346 | #131 | 1 | 2 | yes | — |
| 184 | C4×C16 | — | 2 | 1 | no | — |
| 185 | C4×C16 | — | 2 | 1 | no | — |
| 186 | C4×C16 | — | 8 | 1 | no | — |
| 187 | C4×C16 | — | 8 | 1 | no | — |
| 188 | C4×C16 | — | 8 | 1 | no | — |
| 189 | C4×C16 | — | 8 | 1 | no | — |
| 190 | C4×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 191 | C4×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 192 | C4×C16 | #131 | 1 | 1 | yes | characteristic |
| 193 | C4×C16 | #131 | 1 | 1 | yes | characteristic |
| 194 | #335 | — | 4 | 2 | no | — |
| 195 | #334 | — | 4 | 2 | no | — |
| 196 | #322 | — | 2 | 2 | no | — |
| 197 | #322 | — | 2 | 2 | no | — |
| 198 | #322 | — | 4 | 1 | no | — |
| 199 | #322 | — | 4 | 1 | no | — |
| 200 | #322 | — | 8 | 1 | no | — |
| 201 | C82 | — | 8 | 1 | no | — |
| 202 | C22×C8 | — | 4 | 2 | no | — |
| 203 | C22×C8 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 204 | C22×C8 | #428 | 1 | 1 | yes | characteristic |
| 205 | C22×C8 | #440 | 1 | 1 | yes | characteristic |
| 206 | C22×C8 | #442 | 1 | 1 | yes | characteristic |
| 207 | C2×C42 | — | 4 | 1 | no | — |
| 208 | C2×C42 | #428 | 1 | 1 | yes | characteristic |
| 209 | C2×C42 | #440 | 1 | 1 | yes | characteristic |
| 210 | C2×C42 | #441 | 1 | 1 | yes | characteristic |
| 211 | M32 | — | 4 | 2 | no | — |
| 212 | M32 | — | 4 | 2 | no | — |
| 213 | M32 | — | 4 | 2 | no | — |
| 214 | M32 | — | 4 | 2 | no | — |
| 215 | M32 | — | 8 | 1 | no | — |
| 216 | M32 | — | 8 | 1 | no | — |
| 217 | M32 | — | 8 | 1 | no | — |
| 218 | M32 | — | 8 | 1 | no | — |
| 219 | M32 | — | 8 | 2 | no | — |
| 220 | M32 | — | 8 | 2 | no | — |
| 221 | C2×C16 | — | 2 | 1 | no | — |
| 222 | C2×C16 | — | 2 | 1 | no | — |
| 223 | C2×C16 | — | 2 | 1 | no | — |
| 224 | C2×C16 | — | 2 | 1 | no | — |
| 225 | C2×C16 | — | 2 | 1 | no | — |
| 226 | C2×C16 | — | 2 | 1 | no | — |
| 227 | C2×C16 | — | 4 | 2 | no | — |
| 228 | C2×C16 | — | 4 | 2 | no | — |
| 229 | C2×C16 | — | 4 | 2 | no | — |
| 230 | C2×C16 | — | 8 | 1 | no | — |
| 231 | C2×C16 | — | 8 | 1 | no | — |
| 232 | C2×C16 | — | 8 | 1 | no | — |
| 233 | C2×C16 | — | 8 | 1 | no | — |
| 234 | C2×C16 | — | 8 | 2 | no | — |
| 235 | C2×C16 | C2×C4×C8 | 1 | 1 | yes | characteristic |
| 236 | C2×C16 | C2×#97 | 1 | 1 | yes | characteristic |
| 237 | C2×C16 | C2×#97 | 1 | 1 | yes | characteristic |
| 238 | C2×C16 | C4×M16 | 1 | 1 | yes | characteristic |
| 239 | C2×C16 | #405 | 1 | 1 | yes | characteristic |
| 240 | C2×C16 | #405 | 1 | 1 | yes | characteristic |
| 241 | C2×C16 | #432 | 1 | 2 | yes | — |
| 242 | C2×C16 | C8×Q8 | 1 | 1 | yes | characteristic |
| 243 | C2×C16 | C8×Q8 | 1 | 1 | yes | characteristic |
| 244 | C2×C16 | #446 | 1 | 2 | yes | — |
| 245 | C4⋊C8 | — | 8 | 2 | no | — |
| 246 | C22⋊C8 | — | 8 | 2 | no | — |
| 247 | C4×C8 | — | 2 | 1 | no | — |
| 248 | C4×C8 | — | 2 | 1 | no | — |
| 249 | C4×C8 | — | 2 | 1 | no | — |
| 250 | C4×C8 | — | 2 | 1 | no | — |
| 251 | C4×C8 | — | 4 | 1 | no | — |
| 252 | C4×C8 | — | 4 | 2 | no | — |
| 253 | C4×C8 | — | 4 | 2 | no | — |
| 254 | C4×C8 | — | 8 | 2 | no | — |
| 255 | C4×C8 | — | 16 | 2 | no | — |
| 256 | C4×C8 | #423 | 1 | 2 | yes | — |
| 257 | C4×C8 | #430 | 1 | 2 | yes | — |
| 258 | C4×C8 | C8×D4 | 1 | 1 | yes | characteristic |
| 259 | C4×C8 | C8×D4 | 1 | 1 | yes | characteristic |
| 260 | C4×C8 | #436 | 1 | 2 | yes | — |
| 261 | C4×C8 | #444 | 1 | 1 | yes | characteristic |
| 262 | C4×C8 | #444 | 1 | 1 | yes | characteristic |
| 263 | C4×C8 | #444 | 1 | 2 | yes | — |
| 264 | C32 | — | 2 | 2 | no | — |
| 265 | C32 | — | 2 | 2 | no | — |
| 266 | C32 | — | 2 | 2 | no | — |
| 267 | C32 | — | 4 | 4 | no | — |
| 268 | C32 | #322 | 1 | 4 | yes | — |
| 269 | C22×C4 | — | 2 | 1 | no | — |
| 270 | C22×C4 | — | 2 | 1 | no | — |
| 271 | C22×C4 | — | 2 | 1 | no | — |
| 272 | C22×C4 | #1776 | 1 | 1 | yes | characteristic |
| 273 | C2×C8 | — | 2 | 1 | no | — |
| 274 | C2×C8 | — | 2 | 1 | no | — |
| 275 | C2×C8 | — | 2 | 1 | no | — |
| 276 | C2×C8 | — | 2 | 1 | no | — |
| 277 | C2×C8 | — | 8 | 2 | no | — |
| 278 | C2×C8 | — | 16 | 2 | no | — |
| 279 | C2×C8 | — | 16 | 2 | no | — |
| 280 | C2×C8 | #1569 | 1 | 2 | yes | — |
| 281 | C2×C8 | #1580 | 1 | 1 | yes | characteristic |
| 282 | C2×C8 | #1580 | 1 | 1 | yes | characteristic |
| 283 | C2×C8 | #1592 | 1 | 2 | yes | — |
| 284 | C2×C8 | #1767 | 1 | 1 | yes | characteristic |
| 285 | C2×C8 | C8×C4⋊C4 | 1 | 1 | yes | characteristic |
| 286 | C2×C8 | #1770 | 1 | 1 | yes | characteristic |
| 287 | C2×C8 | #1773 | 1 | 1 | yes | characteristic |
| 288 | C2×C8 | #1773 | 1 | 1 | yes | characteristic |
| 289 | C2×C8 | #1778 | 1 | 1 | yes | characteristic |
| 290 | C2×C8 | #2180 | 1 | 1 | yes | characteristic |
| 291 | C2×C8 | #2180 | 1 | 1 | yes | characteristic |
| 292 | C2×C8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 293 | C2×C8 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 294 | C42 | — | 2 | 1 | no | — |
| 295 | C42 | — | 2 | 1 | no | — |
| 296 | C42 | — | 2 | 1 | no | — |
| 297 | C42 | — | 8 | 2 | no | — |
| 298 | C42 | #1569 | 1 | 2 | yes | — |
| 299 | C42 | #1579 | 1 | 1 | yes | characteristic |
| 300 | C42 | #1579 | 1 | 1 | yes | characteristic |
| 301 | C42 | #1592 | 1 | 2 | yes | — |
| 302 | C16 | — | 2 | 2 | no | — |
| 303 | C16 | — | 2 | 1 | no | — |
| 304 | C16 | — | 2 | 1 | no | — |
| 305 | C16 | — | 2 | 2 | no | — |
| 306 | C16 | — | 8 | 2 | no | — |
| 307 | C16 | — | 8 | 2 | no | — |
| 308 | C16 | — | 8 | 2 | no | — |
| 309 | C16 | — | 8 | 2 | no | — |
| 310 | C16 | — | 8 | 2 | no | — |
| 311 | C16 | — | 16 | 2 | no | — |
| 312 | C16 | C2×#322 | 1 | 1 | yes | characteristic |
| 313 | C16 | C8×M16 | 1 | 1 | yes | characteristic |
| 314 | C16 | #1451 | 1 | 1 | yes | characteristic |
| 315 | C16 | #1452 | 1 | 1 | yes | characteristic |
| 316 | C23 | #12678 | 1 | 1 | yes | characteristic |
| 317 | C2×C4 | — | 2 | 1 | no | — |
| 318 | C2×C4 | — | 2 | 2 | no | — |
| 319 | C2×C4 | — | 2 | 1 | no | — |
| 320 | C2×C4 | — | 2 | 2 | no | — |
| 321 | C2×C4 | — | 4 | 2 | no | — |
| 322 | C2×C4 | — | 8 | 1 | no | — |
| 323 | C2×C4 | — | 8 | 1 | no | — |
| 324 | C2×C4 | #8276 | 1 | 1 | yes | characteristic |
| 325 | C2×C4 | #8284 | 1 | 1 | yes | characteristic |
| 326 | C2×C4 | #8286 | 1 | 1 | yes | characteristic |
| 327 | C2×C4 | #12677 | 1 | 1 | yes | characteristic |
| 328 | C2×C4 | #12677 | 1 | 1 | yes | characteristic |
| 329 | C2×C4 | #12678 | 1 | 1 | yes | characteristic |
| 330 | C8 | — | 2 | 2 | no | — |
| 331 | C8 | — | 2 | 2 | no | — |
| 332 | C8 | — | 16 | 2 | no | — |
| 333 | C8 | — | 32 | 2 | no | — |
| 334 | C8 | #8261 | 1 | 1 | yes | characteristic |
| 335 | C8 | #8269 | 1 | 1 | yes | characteristic |
| 336 | C8 | #8294 | 1 | 1 | yes | characteristic |
| 337 | C8 | #8295 | 1 | 1 | yes | characteristic |
| 338 | C8 | #12065 | 1 | 1 | yes | characteristic |
| 339 | C8 | #12065 | 1 | 1 | yes | characteristic |
| 340 | C8 | #12066 | 1 | 1 | yes | characteristic |
| 341 | C8 | #12067 | 1 | 1 | yes | characteristic |
| 342 | C22 | — | 4 | 1 | no | — |
| 343 | C22 | #129124 | 1 | 1 | yes | characteristic |
| 344 | C22 | #129166 | 1 | 1 | yes | characteristic |
| 345 | C22 | #129174 | 1 | 1 | yes | characteristic |
| 346 | C4 | — | 2 | 2 | no | — |
| 347 | C4 | — | 4 | 2 | no | — |
| 348 | C4 | — | 4 | 2 | no | — |
| 349 | C4 | — | 4 | 1 | no | — |
| 350 | C4 | #96894 | 1 | 1 | yes | characteristic |
| 351 | C4 | #129124 | 1 | 1 | yes | characteristic |
| 352 | C4 | #129165 | 1 | 1 | yes | characteristic |
| 353 | C4 | #129174 | 1 | 1 | yes | characteristic |
| 354 | C2 | — | 2 | 1 | no | — |
| 355 | C2 | — | 2 | 1 | no | — |
| 356 | C2 | — | 2 | 1 | no | — |
| 357 | C2 | #72225332 | 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