← #72226073
Subgroups — #72226073
Order 1536.
950 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10765753 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #10707212 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #10707072 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #10706823 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10705315 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10704187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#33748 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #483961 | — | 3 | 1 | no | maximal, Sylow |
| 9 | C3×#3169 | C22 | 1 | 2 | yes | — |
| 10 | #83275 | — | 2 | 2 | no | — |
| 11 | C3×#2254 | C4 | 1 | 1 | yes | characteristic |
| 12 | C3×#2246 | C4 | 1 | 1 | yes | characteristic |
| 13 | C3×#2240 | C4 | 1 | 2 | yes | — |
| 14 | C3×#2218 | C4 | 1 | 4 | yes | — |
| 15 | C3×#2177 | C22 | 1 | 4 | yes | — |
| 16 | C3×C4×M32 | C22 | 1 | 1 | yes | characteristic |
| 17 | #71802 | — | 2 | 2 | no | — |
| 18 | #70882 | — | 2 | 2 | no | — |
| 19 | #70882 | C22 | 1 | 4 | yes | — |
| 20 | #70878 | — | 2 | 2 | no | — |
| 21 | #70878 | C22 | 1 | 4 | yes | — |
| 22 | C4×#812 | C22 | 1 | 1 | yes | characteristic |
| 23 | #69730 | C22 | 1 | 2 | yes | — |
| 24 | C2×#4455 | C22 | 1 | 1 | yes | characteristic |
| 25 | #67762 | C22 | 1 | 8 | yes | — |
| 26 | #67513 | C22 | 1 | 4 | yes | — |
| 27 | #67511 | C22 | 1 | 2 | yes | — |
| 28 | #67511 | C22 | 1 | 2 | yes | — |
| 29 | #33748 | D3 | 1 | 1 | yes | characteristic |
| 30 | #17962 | — | 3 | 2 | no | — |
| 31 | #12089 | — | 3 | 4 | no | — |
| 32 | #12067 | — | 3 | 4 | no | — |
| 33 | #12020 | — | 3 | 1 | no | — |
| 34 | #11680 | — | 3 | 2 | no | — |
| 35 | #11404 | — | 3 | 1 | no | — |
| 36 | C3×#532 | — | 2 | 2 | no | — |
| 37 | C2×#948 | — | 4 | 2 | no | — |
| 38 | C2×C3×D16 | C2×C4 | 1 | 4 | yes | — |
| 39 | C2×C3×M32 | C2×C4 | 1 | 2 | yes | — |
| 40 | C3×#500 | C2×C4 | 1 | 2 | yes | — |
| 41 | C3×#493 | C2×C4 | 1 | 2 | yes | — |
| 42 | C3×#486 | — | 2 | 2 | no | — |
| 43 | C3×#466 | — | 2 | 2 | no | — |
| 44 | C3×#466 | C2×C4 | 1 | 4 | yes | — |
| 45 | C3×C4×D8 | — | 2 | 2 | no | — |
| 46 | C3×C4×D8 | C23 | 1 | 4 | yes | — |
| 47 | C2×C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 48 | #5234 | — | 4 | 2 | no | — |
| 49 | C2×#812 | — | 2 | 1 | no | — |
| 50 | #5012 | — | 2 | 4 | no | — |
| 51 | #5012 | — | 4 | 2 | no | — |
| 52 | D4×C3⋊C8 | — | 2 | 4 | no | — |
| 53 | D4×C3⋊C8 | — | 4 | 2 | no | — |
| 54 | #4924 | — | 2 | 2 | no | — |
| 55 | C2×C4×C3⋊C8 | D4 | 1 | 2 | yes | — |
| 56 | C3×#367 | C2×C4 | 1 | 4 | yes | — |
| 57 | C3×#357 | C2×C4 | 1 | 8 | yes | — |
| 58 | C3×#346 | C23 | 1 | 2 | yes | — |
| 59 | C3×C4×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | C3×C4×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | D4⋊(C3⋊C8) | — | 2 | 4 | no | — |
| 62 | D4⋊(C3⋊C8) | — | 2 | 4 | no | — |
| 63 | #4461 | C23 | 1 | 2 | yes | — |
| 64 | C4×C3⋊C16 | — | 2 | 1 | no | — |
| 65 | #4457 | — | 2 | 2 | no | — |
| 66 | #4457 | C23 | 1 | 4 | yes | — |
| 67 | #4455 | D4 | 1 | 2 | yes | — |
| 68 | #4455 | C23 | 1 | 1 | yes | characteristic |
| 69 | #4455 | C23 | 1 | 1 | yes | characteristic |
| 70 | #3169 | C2×D3 | 1 | 2 | yes | — |
| 71 | #2931 | — | 6 | 2 | no | — |
| 72 | #2254 | Dic3 | 1 | 1 | yes | characteristic |
| 73 | #2246 | Dic3 | 1 | 1 | yes | characteristic |
| 74 | #2240 | Dic3 | 1 | 2 | yes | — |
| 75 | #2218 | Dic3 | 1 | 4 | yes | — |
| 76 | #2177 | C2×D3 | 1 | 4 | yes | — |
| 77 | C4×M32 | — | 3 | 1 | no | — |
| 78 | C4×M32 | C2×D3 | 1 | 1 | yes | characteristic |
| 79 | #1594 | — | 3 | 4 | no | — |
| 80 | #1594 | — | 6 | 2 | no | — |
| 81 | #1580 | — | 3 | 4 | no | — |
| 82 | #1580 | — | 6 | 2 | no | — |
| 83 | #1566 | — | 3 | 2 | no | — |
| 84 | #1492 | — | 6 | 2 | no | — |
| 85 | C2×#322 | — | 3 | 1 | no | — |
| 86 | #1368 | — | 3 | 4 | no | — |
| 87 | #1333 | — | 3 | 8 | no | — |
| 88 | #1313 | — | 3 | 2 | no | — |
| 89 | #1313 | — | 3 | 2 | no | — |
| 90 | C2×C3×#41 | — | 4 | 2 | no | — |
| 91 | C2×C3×D8 | — | 2 | 2 | no | — |
| 92 | C2×C3×D8 | C22×C4 | 1 | 4 | yes | — |
| 93 | C22×C3×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 94 | C22×C3×C8 | #41 | 1 | 1 | yes | characteristic |
| 95 | C3×C4⋊Q8 | — | 2 | 2 | no | — |
| 96 | C3×#127 | — | 2 | 2 | no | — |
| 97 | C3×#124 | — | 4 | 2 | no | — |
| 98 | C3×#121 | — | 2 | 4 | no | — |
| 99 | C3×#121 | — | 4 | 2 | no | — |
| 100 | C3×C4×D4 | — | 2 | 4 | no | — |
| 101 | C3×C4×D4 | — | 4 | 2 | no | — |
| 102 | C2×C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | #948 | — | 8 | 8 | no | — |
| 104 | C2×#208 | — | 4 | 4 | no | — |
| 105 | C2×#208 | — | 4 | 2 | no | — |
| 106 | C22×C3⋊C8 | — | 2 | 2 | no | — |
| 107 | C22×C3⋊C8 | — | 4 | 4 | no | — |
| 108 | C3×D16 | — | 2 | 8 | no | — |
| 109 | C3×M32 | — | 2 | 4 | no | — |
| 110 | C2×C3×C16 | C22×C4 | 1 | 2 | yes | — |
| 111 | C2×C3×C16 | C22×C4 | 1 | 2 | yes | — |
| 112 | C3×#107 | — | 2 | 2 | no | — |
| 113 | C3×#107 | C22×C4 | 1 | 4 | yes | — |
| 114 | C3×#102 | — | 2 | 4 | no | — |
| 115 | C3×#102 | — | 2 | 4 | no | — |
| 116 | C3×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 117 | C3×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C3×C4×C8 | #41 | 1 | 1 | yes | characteristic |
| 119 | C3×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 120 | #830 | — | 4 | 4 | no | — |
| 121 | #830 | — | 4 | 4 | no | — |
| 122 | #812 | — | 4 | 2 | no | — |
| 123 | C2×C3⋊C16 | — | 2 | 2 | no | — |
| 124 | C4⋊(C3⋊C8) | — | 2 | 4 | no | — |
| 125 | C4⋊(C3⋊C8) | — | 4 | 2 | no | — |
| 126 | C4×C3⋊C8 | — | 2 | 2 | no | — |
| 127 | C4×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 128 | C4×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 129 | C2×#131 | — | 12 | 2 | no | — |
| 130 | #532 | — | 2 | 2 | no | — |
| 131 | C2×D16 | C2×Dic3 | 1 | 4 | yes | — |
| 132 | C2×M32 | — | 6 | 1 | no | — |
| 133 | C2×M32 | C2×Dic3 | 1 | 2 | yes | — |
| 134 | #500 | C2×Dic3 | 1 | 2 | yes | — |
| 135 | #493 | C2×Dic3 | 1 | 2 | yes | — |
| 136 | #486 | — | 2 | 2 | no | — |
| 137 | #466 | — | 2 | 2 | no | — |
| 138 | #466 | C2×Dic3 | 1 | 4 | yes | — |
| 139 | C4×D8 | — | 2 | 2 | no | — |
| 140 | C4×D8 | C22×D3 | 1 | 4 | yes | — |
| 141 | #436 | — | 6 | 4 | no | — |
| 142 | #436 | — | 12 | 2 | no | — |
| 143 | C8×D4 | — | 6 | 4 | no | — |
| 144 | C8×D4 | — | 12 | 2 | no | — |
| 145 | #423 | — | 6 | 2 | no | — |
| 146 | #408 | — | 12 | 2 | no | — |
| 147 | C2×C4×C8 | — | 3 | 2 | no | — |
| 148 | C2×C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 149 | #367 | C2×Dic3 | 1 | 4 | yes | — |
| 150 | #357 | C2×Dic3 | 1 | 8 | yes | — |
| 151 | #346 | — | 3 | 2 | no | — |
| 152 | #346 | C22×D3 | 1 | 2 | yes | — |
| 153 | C4×C16 | — | 6 | 1 | no | — |
| 154 | C4×C16 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 155 | C4×C16 | C2×Dic3 | 1 | 1 | yes | characteristic |
| 156 | #334 | — | 3 | 4 | no | — |
| 157 | #334 | — | 6 | 2 | no | — |
| 158 | D4⋊C8 | — | 6 | 4 | no | — |
| 159 | D4⋊C8 | — | 6 | 4 | no | — |
| 160 | #322 | — | 3 | 2 | no | — |
| 161 | #322 | — | 3 | 1 | no | — |
| 162 | #322 | — | 3 | 1 | no | — |
| 163 | C3×#41 | — | 8 | 4 | no | — |
| 164 | C3×#41 | — | 8 | 4 | no | — |
| 165 | C2×C3×Q8 | — | 4 | 2 | no | — |
| 166 | C2×C3×D4 | — | 2 | 4 | no | — |
| 167 | C2×C3×D4 | — | 4 | 4 | no | — |
| 168 | C2×C3×D4 | — | 4 | 2 | no | — |
| 169 | C2×C3×D4 | — | 4 | 2 | no | — |
| 170 | C22×C3×C4 | — | 4 | 4 | no | — |
| 171 | C22×C3×C4 | C4×D4 | 1 | 1 | yes | characteristic |
| 172 | C22×C3×C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 173 | C3×D8 | — | 2 | 8 | no | — |
| 174 | C3×D8 | — | 4 | 4 | no | — |
| 175 | C2×C3×C8 | — | 2 | 2 | no | — |
| 176 | C2×C3×C8 | — | 2 | 2 | no | — |
| 177 | C2×C3×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 178 | C2×C3×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×C3×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 180 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 181 | C3×C4⋊C4 | — | 2 | 4 | no | — |
| 182 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 183 | C3×C22⋊C4 | — | 4 | 4 | no | — |
| 184 | C3×C22⋊C4 | — | 4 | 4 | no | — |
| 185 | C3×C42 | C4×D4 | 1 | 1 | yes | characteristic |
| 186 | C3×C42 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 187 | C3×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 188 | #208 | — | 8 | 8 | no | — |
| 189 | #208 | — | 8 | 4 | no | — |
| 190 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 191 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 192 | C2×C3⋊C8 | — | 4 | 4 | no | — |
| 193 | C2×C3⋊C8 | — | 4 | 4 | no | — |
| 194 | C2×C3⋊C8 | — | 8 | 8 | no | — |
| 195 | C3×C16 | — | 2 | 2 | no | — |
| 196 | C3×C16 | #131 | 1 | 4 | yes | complemented |
| 197 | C3⋊C16 | — | 4 | 2 | no | — |
| 198 | C2×#41 | — | 4 | 2 | no | — |
| 199 | C2×D8 | — | 2 | 2 | no | — |
| 200 | C2×D8 | C22×Dic3 | 1 | 4 | yes | — |
| 201 | #131 | — | 24 | 8 | no | — |
| 202 | C2×M16 | — | 12 | 4 | no | — |
| 203 | C2×M16 | — | 12 | 2 | no | — |
| 204 | C22×C8 | — | 6 | 2 | no | — |
| 205 | C22×C8 | — | 12 | 4 | no | — |
| 206 | C22×C8 | #237 | 1 | 1 | yes | characteristic |
| 207 | C22×C8 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 208 | C4⋊Q8 | — | 2 | 2 | no | — |
| 209 | #127 | — | 2 | 2 | no | — |
| 210 | #124 | — | 4 | 2 | no | — |
| 211 | #121 | — | 2 | 4 | no | — |
| 212 | #121 | — | 4 | 2 | no | — |
| 213 | C4×D4 | — | 2 | 4 | no | — |
| 214 | C4×D4 | — | 4 | 2 | no | — |
| 215 | C2×C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 216 | D16 | — | 2 | 8 | no | — |
| 217 | M32 | — | 2 | 4 | no | — |
| 218 | M32 | — | 12 | 2 | no | — |
| 219 | C2×C16 | — | 6 | 2 | no | — |
| 220 | C2×C16 | C22×Dic3 | 1 | 2 | yes | — |
| 221 | C2×C16 | C22×Dic3 | 1 | 2 | yes | — |
| 222 | #107 | — | 2 | 2 | no | — |
| 223 | #107 | C22×Dic3 | 1 | 4 | yes | — |
| 224 | C4⋊C8 | — | 6 | 4 | no | — |
| 225 | C4⋊C8 | — | 12 | 2 | no | — |
| 226 | #102 | — | 2 | 4 | no | — |
| 227 | #102 | — | 2 | 4 | no | — |
| 228 | C22⋊C8 | — | 12 | 4 | no | — |
| 229 | C22⋊C8 | — | 12 | 4 | no | — |
| 230 | C4×C8 | — | 3 | 2 | no | — |
| 231 | C4×C8 | — | 3 | 2 | no | — |
| 232 | C4×C8 | — | 6 | 2 | no | — |
| 233 | C4×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 234 | C4×C8 | #237 | 1 | 1 | yes | characteristic |
| 235 | C4×C8 | C22×Dic3 | 1 | 1 | yes | characteristic |
| 236 | C4×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 237 | C23×C3 | — | 4 | 4 | no | — |
| 238 | C23×C3 | #442 | 1 | 1 | yes | characteristic |
| 239 | C3×Q8 | — | 8 | 4 | no | — |
| 240 | C3×D4 | — | 4 | 4 | no | — |
| 241 | C3×D4 | — | 4 | 4 | no | — |
| 242 | C3×D4 | — | 8 | 8 | no | — |
| 243 | C3×D4 | — | 8 | 4 | no | — |
| 244 | C3×D4 | — | 8 | 4 | no | — |
| 245 | C2×C3×C4 | — | 2 | 1 | no | — |
| 246 | C2×C3×C4 | — | 2 | 4 | no | — |
| 247 | C2×C3×C4 | — | 2 | 1 | no | — |
| 248 | C2×C3×C4 | — | 4 | 4 | no | — |
| 249 | C2×C3×C4 | — | 8 | 4 | no | — |
| 250 | C2×C3×C4 | — | 8 | 4 | no | — |
| 251 | C2×C3×C4 | #442 | 1 | 1 | yes | characteristic |
| 252 | C2×C3×C4 | #442 | 1 | 2 | yes | — |
| 253 | C2×C3×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×C3×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 255 | C3×C8 | — | 2 | 1 | no | — |
| 256 | C3×C8 | — | 2 | 1 | no | — |
| 257 | C3×C8 | #444 | 1 | 2 | yes | — |
| 258 | C3×C8 | C2×#131 | 1 | 2 | yes | — |
| 259 | C3⋊C8 | — | 4 | 2 | no | — |
| 260 | C3⋊C8 | — | 4 | 2 | no | — |
| 261 | C3⋊C8 | — | 8 | 4 | no | — |
| 262 | #41 | — | 8 | 4 | no | — |
| 263 | #41 | — | 8 | 4 | no | — |
| 264 | C2×Q8 | — | 4 | 2 | no | — |
| 265 | C2×D4 | — | 2 | 4 | no | — |
| 266 | C2×D4 | — | 4 | 4 | no | — |
| 267 | C2×D4 | — | 4 | 2 | no | — |
| 268 | C2×D4 | — | 4 | 2 | no | — |
| 269 | C22×C4 | — | 4 | 4 | no | — |
| 270 | C22×C4 | #911 | 1 | 2 | yes | — |
| 271 | C22×C4 | D4×Dic3 | 1 | 1 | yes | characteristic |
| 272 | D8 | — | 2 | 8 | no | — |
| 273 | D8 | — | 4 | 4 | no | — |
| 274 | M16 | — | 24 | 8 | no | — |
| 275 | M16 | — | 24 | 4 | no | — |
| 276 | C2×C8 | — | 2 | 2 | no | — |
| 277 | C2×C8 | — | 2 | 2 | no | — |
| 278 | C2×C8 | — | 6 | 2 | no | — |
| 279 | C2×C8 | — | 6 | 2 | no | — |
| 280 | C2×C8 | — | 12 | 4 | no | — |
| 281 | C2×C8 | — | 12 | 4 | no | — |
| 282 | C2×C8 | — | 24 | 8 | no | — |
| 283 | C2×C8 | D4×Dic3 | 1 | 1 | yes | characteristic |
| 284 | C2×C8 | D4×Dic3 | 1 | 1 | yes | characteristic |
| 285 | C2×C8 | C2×#237 | 1 | 1 | yes | characteristic |
| 286 | C2×C8 | C23×Dic3 | 1 | 1 | yes | characteristic |
| 287 | C4⋊C4 | — | 2 | 4 | no | — |
| 288 | C4⋊C4 | — | 4 | 2 | no | — |
| 289 | C22⋊C4 | — | 4 | 4 | no | — |
| 290 | C22⋊C4 | — | 4 | 4 | no | — |
| 291 | C42 | #911 | 1 | 2 | yes | — |
| 292 | C42 | D4×Dic3 | 1 | 1 | yes | characteristic |
| 293 | C42 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 294 | C16 | — | 2 | 2 | no | — |
| 295 | C16 | — | 12 | 2 | no | — |
| 296 | C16 | #948 | 1 | 4 | yes | complemented |
| 297 | C22×C3 | — | 2 | 1 | no | — |
| 298 | C22×C3 | — | 2 | 2 | no | — |
| 299 | C22×C3 | — | 8 | 4 | no | — |
| 300 | C22×C3 | — | 8 | 4 | no | — |
| 301 | C22×C3 | — | 8 | 4 | no | — |
| 302 | C22×C3 | C2×#442 | 1 | 1 | yes | characteristic |
| 303 | C3×C4 | — | 2 | 1 | no | — |
| 304 | C3×C4 | — | 2 | 2 | no | — |
| 305 | C3×C4 | — | 8 | 4 | no | — |
| 306 | C3×C4 | AGL(1,ℤ/16) | 1 | 4 | yes | — |
| 307 | C3×C4 | #2931 | 1 | 1 | yes | characteristic |
| 308 | C3×C4 | C2×#444 | 1 | 1 | yes | characteristic |
| 309 | C23 | — | 4 | 4 | no | — |
| 310 | C23 | #5152 | 1 | 1 | yes | characteristic |
| 311 | Q8 | — | 8 | 4 | no | — |
| 312 | D4 | — | 4 | 4 | no | — |
| 313 | D4 | — | 4 | 4 | no | — |
| 314 | D4 | — | 8 | 8 | no | — |
| 315 | D4 | — | 8 | 4 | no | — |
| 316 | D4 | — | 8 | 4 | no | — |
| 317 | C2×C4 | — | 2 | 1 | no | — |
| 318 | C2×C4 | — | 2 | 4 | no | — |
| 319 | C2×C4 | — | 2 | 1 | no | — |
| 320 | C2×C4 | — | 4 | 4 | no | — |
| 321 | C2×C4 | — | 8 | 4 | no | — |
| 322 | C2×C4 | — | 8 | 4 | no | — |
| 323 | C2×C4 | #5152 | 1 | 1 | yes | characteristic |
| 324 | C2×C4 | #5152 | 1 | 2 | yes | — |
| 325 | C2×C4 | C2×#911 | 1 | 2 | yes | — |
| 326 | C2×C4 | C2×D4×Dic3 | 1 | 1 | yes | characteristic |
| 327 | C8 | — | 2 | 1 | no | — |
| 328 | C8 | — | 2 | 1 | no | — |
| 329 | C8 | — | 12 | 2 | no | — |
| 330 | C8 | — | 12 | 2 | no | — |
| 331 | C8 | — | 24 | 4 | no | — |
| 332 | C8 | #5197 | 1 | 2 | yes | — |
| 333 | C8 | C2×#948 | 1 | 2 | yes | — |
| 334 | C2×C3 | — | 4 | 1 | no | — |
| 335 | C2×C3 | — | 16 | 4 | no | — |
| 336 | C2×C3 | #17962 | 1 | 1 | yes | characteristic |
| 337 | C2×C3 | C2×AGL(1,ℤ/16) | 1 | 2 | yes | — |
| 338 | C22 | — | 2 | 2 | no | — |
| 339 | C22 | — | 2 | 1 | no | — |
| 340 | C22 | — | 8 | 4 | no | — |
| 341 | C22 | — | 8 | 4 | no | — |
| 342 | C22 | — | 8 | 4 | no | — |
| 343 | C22 | C2×#5152 | 1 | 1 | yes | characteristic |
| 344 | C4 | — | 2 | 2 | no | — |
| 345 | C4 | — | 2 | 1 | no | — |
| 346 | C4 | — | 8 | 4 | no | — |
| 347 | C4 | #71515 | 1 | 4 | yes | — |
| 348 | C4 | #83275 | 1 | 1 | yes | characteristic |
| 349 | C4 | C2×#5197 | 1 | 1 | yes | characteristic |
| 350 | C3 | #483961 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 351 | C2 | — | 4 | 1 | no | — |
| 352 | C2 | — | 16 | 4 | no | — |
| 353 | C2 | #10765753 | 1 | 1 | yes | characteristic |
| 354 | C2 | C2×#71515 | 1 | 2 | yes | — |
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