← #30597727
Subgroups — #30597727
Order 15616.
474 conjugacy classes of subgroups.
The subgroup lattice has 372 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C8×C4⋊#6923 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C4×#14519840 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | D61⋊(Q8⋊C8) | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #21461015 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #21460653 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #21460648 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #446×D61 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | D61⋊(C4⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#14519840 | C4 | 1 | 2 | yes | — |
| 10 | C4×D61⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 11 | C4×D61⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C8×#6923 | — | 2 | 1 | no | — |
| 13 | C4×C4⋊#6923 | C22 | 1 | 1 | yes | characteristic |
| 14 | #16840635 | C4 | 1 | 2 | yes | — |
| 15 | (C2×#6923)⋊C8 | — | 2 | 1 | no | — |
| 16 | #16840612 | C4 | 1 | 2 | yes | complemented |
| 17 | Q8⋊#92420 | C4 | 1 | 2 | yes | complemented |
| 18 | #92420⋊C8 | — | 2 | 1 | no | — |
| 19 | #92420⋊C8 | — | 2 | 1 | no | — |
| 20 | C4×Q8×D61 | C22 | 1 | 1 | yes | characteristic |
| 21 | #16839893 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | #16839892 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | #16839891 | — | 2 | 1 | no | — |
| 24 | #16839890 | — | 2 | 1 | no | — |
| 25 | #16839889 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | C4⋊C8×D61 | — | 2 | 1 | no | — |
| 27 | C4⋊C8×D61 | C22 | 1 | 1 | yes | characteristic |
| 28 | #97×D61 | — | 2 | 1 | no | — |
| 29 | C4×C8×D61 | C22 | 1 | 1 | yes | characteristic |
| 30 | C61×#446 | C4 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×D61⋊C8 | — | 2 | 1 | no | — |
| 32 | C2×D61⋊C8 | — | 2 | 1 | no | — |
| 33 | C2×D61⋊C8 | C2×C4 | 1 | 2 | yes | — |
| 34 | C2×C4⋊#6923 | C2×C4 | 1 | 2 | yes | — |
| 35 | C2×C4×#6923 | — | 2 | 1 | no | — |
| 36 | #14519844 | — | 2 | 1 | no | — |
| 37 | C4⋊#92420 | C2×C4 | 1 | 2 | yes | — |
| 38 | #14519840 | — | 2 | 4 | no | — |
| 39 | C4×#92420 | — | 2 | 1 | no | — |
| 40 | C4×#92420 | — | 2 | 1 | no | — |
| 41 | C4×#92420 | — | 2 | 1 | no | — |
| 42 | C4×#92420 | C2×C4 | 1 | 2 | yes | — |
| 43 | C8×#6923 | — | 4 | 2 | no | — |
| 44 | (C2×#6923)⋊C4 | — | 2 | 1 | no | — |
| 45 | C2×Q8×D61 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | C2×C8×D61 | — | 2 | 1 | no | — |
| 47 | C2×C8×D61 | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×C8×D61 | D4 | 1 | 1 | yes | characteristic |
| 49 | Q8×Dic61 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | C4×Dic122 | — | 2 | 1 | no | — |
| 51 | C4×Dic122 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | #14519742 | — | 2 | 1 | no | — |
| 53 | #14519742 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | C4⋊C4×D61 | — | 2 | 1 | no | — |
| 55 | C4⋊C4×D61 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C42×D61 | — | 2 | 1 | no | — |
| 57 | C42×D61 | C23 | 1 | 1 | yes | characteristic |
| 58 | C4⋊#92418 | — | 2 | 1 | no | — |
| 59 | C4⋊#92418 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | #14519706 | — | 2 | 1 | no | — |
| 61 | #14519706 | — | 2 | 1 | no | — |
| 62 | #14519706 | — | 2 | 1 | no | — |
| 63 | #14519688 | — | 2 | 1 | no | — |
| 64 | #14519687 | — | 2 | 1 | no | — |
| 65 | #14519687 | — | 2 | 1 | no | — |
| 66 | C4×#92418 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | C8×Dic61 | D4 | 1 | 1 | yes | characteristic |
| 68 | C8×Dic61 | D4 | 1 | 1 | yes | characteristic |
| 69 | C4×Q8×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C4⋊C8×C61 | — | 2 | 1 | no | — |
| 71 | C4⋊C8×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 72 | #97×C61 | — | 2 | 1 | no | — |
| 73 | C4×C8×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | C22×#6923 | — | 2 | 2 | no | — |
| 75 | C2×Q8×C61 | C42 | 1 | 1 | yes | characteristic |
| 76 | Q8×D61 | — | 2 | 2 | no | — |
| 77 | Q8×D61 | — | 2 | 2 | no | — |
| 78 | C2×C4×D61 | — | 2 | 1 | no | — |
| 79 | C2×C4×D61 | — | 2 | 1 | no | — |
| 80 | C2×C4×D61 | C22×C4 | 1 | 1 | yes | characteristic |
| 81 | C2×C4×D61 | C2×D4 | 1 | 1 | yes | characteristic |
| 82 | C2×C4×D61 | #41 | 1 | 1 | yes | characteristic |
| 83 | C2×Dic122 | — | 2 | 1 | no | — |
| 84 | C2×Dic122 | C42 | 1 | 1 | yes | characteristic |
| 85 | C2×#92420 | — | 2 | 2 | no | — |
| 86 | C2×#92420 | — | 2 | 2 | no | — |
| 87 | C2×#92420 | — | 2 | 2 | no | — |
| 88 | C4⋊#6923 | — | 2 | 2 | no | — |
| 89 | C4⋊#6923 | M16 | 1 | 4 | yes | — |
| 90 | C4×#6923 | — | 4 | 1 | no | — |
| 91 | C4×#6923 | — | 4 | 1 | no | — |
| 92 | D61⋊C8 | — | 2 | 4 | no | — |
| 93 | D61⋊C8 | — | 2 | 2 | no | — |
| 94 | D61⋊C8 | — | 2 | 2 | no | — |
| 95 | D61⋊C8 | — | 4 | 1 | no | — |
| 96 | D61⋊C8 | — | 4 | 1 | no | — |
| 97 | C2×C8×C61 | — | 2 | 1 | no | — |
| 98 | C2×C8×C61 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 99 | C2×C8×C61 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 100 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 101 | C4⋊C4×C61 | C42 | 1 | 1 | yes | characteristic |
| 102 | C42×C61 | — | 2 | 1 | no | — |
| 103 | C42×C61 | C22×C4 | 1 | 1 | yes | characteristic |
| 104 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 105 | C4⋊Dic61 | C42 | 1 | 1 | yes | characteristic |
| 106 | #11758196 | — | 2 | 1 | no | — |
| 107 | #11758196 | — | 2 | 1 | no | — |
| 108 | #11758196 | — | 2 | 1 | no | — |
| 109 | C4×Dic61 | — | 2 | 1 | no | — |
| 110 | C4×Dic61 | — | 2 | 1 | no | — |
| 111 | C4×Dic61 | — | 2 | 1 | no | — |
| 112 | C4×Dic61 | C22×C4 | 1 | 1 | yes | characteristic |
| 113 | C4×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C4×Dic61 | #41 | 1 | 1 | yes | characteristic |
| 115 | C2×#92418 | — | 2 | 1 | no | — |
| 116 | C2×#92418 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 117 | C2×#92418 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 118 | C8×D61 | — | 2 | 1 | no | — |
| 119 | C8×D61 | — | 2 | 1 | no | — |
| 120 | C8×D61 | — | 2 | 1 | no | — |
| 121 | C8×D61 | — | 2 | 1 | no | — |
| 122 | C8×D61 | — | 4 | 1 | no | — |
| 123 | C8×D61 | — | 4 | 1 | no | — |
| 124 | C22×D61 | C4×D4 | 1 | 1 | yes | characteristic |
| 125 | C2×#6923 | — | 2 | 4 | no | — |
| 126 | C2×#6923 | — | 4 | 2 | no | — |
| 127 | C2×#6923 | — | 4 | 2 | no | — |
| 128 | Q8×C61 | — | 2 | 1 | no | — |
| 129 | Q8×C61 | — | 2 | 1 | no | — |
| 130 | C2×C4×C61 | — | 2 | 1 | no | — |
| 131 | C2×C4×C61 | — | 2 | 1 | no | — |
| 132 | C2×C4×C61 | C2×C42 | 1 | 1 | yes | characteristic |
| 133 | C2×C4×C61 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 134 | C2×C4×C61 | #117 | 1 | 1 | yes | characteristic |
| 135 | C2×Dic61 | — | 2 | 1 | no | — |
| 136 | C2×Dic61 | — | 2 | 1 | no | — |
| 137 | C2×Dic61 | C4×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×Dic61 | C4×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×Dic61 | C4×D4 | 1 | 1 | yes | characteristic |
| 140 | C4×D61 | — | 2 | 2 | no | — |
| 141 | C4×D61 | — | 4 | 2 | no | — |
| 142 | C4×D61 | — | 4 | 2 | no | — |
| 143 | C4×D61 | C2×M16 | 1 | 2 | yes | — |
| 144 | C4×D61 | #131 | 1 | 2 | yes | — |
| 145 | C4×D61 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 146 | C4×D61 | #137 | 1 | 1 | yes | characteristic |
| 147 | C4×D61 | #137 | 1 | 1 | yes | characteristic |
| 148 | C4×D61 | #137 | 1 | 1 | yes | characteristic |
| 149 | Dic122 | — | 2 | 1 | no | — |
| 150 | Dic122 | — | 2 | 1 | no | — |
| 151 | Dic122 | — | 4 | 2 | no | — |
| 152 | #92420 | — | 2 | 4 | no | — |
| 153 | #92420 | — | 4 | 2 | no | — |
| 154 | #92420 | — | 4 | 2 | no | — |
| 155 | C8×C61 | — | 2 | 1 | no | — |
| 156 | C8×C61 | — | 2 | 1 | no | — |
| 157 | C8×C61 | — | 4 | 1 | no | — |
| 158 | #92418 | — | 2 | 1 | no | — |
| 159 | #92418 | — | 2 | 1 | no | — |
| 160 | #92418 | — | 4 | 1 | no | — |
| 161 | #8213 | — | 61 | 1 | no | maximal, Sylow |
| 162 | C22×C61 | C4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 163 | C2×D61 | #435 | 1 | 2 | yes | — |
| 164 | C2×D61 | #440 | 1 | 1 | yes | characteristic |
| 165 | C2×D61 | #441 | 1 | 1 | yes | characteristic |
| 166 | C2×D61 | #443 | 1 | 2 | yes | — |
| 167 | #6923 | — | 4 | 4 | no | — |
| 168 | C4×C61 | — | 2 | 1 | no | — |
| 169 | C4×C61 | — | 4 | 1 | no | — |
| 170 | C4×C61 | — | 4 | 1 | no | — |
| 171 | C4×C61 | C4×M16 | 1 | 1 | yes | characteristic |
| 172 | C4×C61 | #405 | 1 | 1 | yes | characteristic |
| 173 | C4×C61 | #417 | 1 | 1 | yes | characteristic |
| 174 | C4×C61 | #419 | 1 | 1 | yes | characteristic |
| 175 | Dic61 | — | 2 | 1 | no | — |
| 176 | Dic61 | — | 4 | 1 | no | — |
| 177 | Dic61 | — | 4 | 1 | no | — |
| 178 | Dic61 | #436 | 1 | 2 | yes | — |
| 179 | Dic61 | #440 | 1 | 1 | yes | characteristic |
| 180 | Dic61 | #441 | 1 | 1 | yes | characteristic |
| 181 | C2×#446 | — | 61 | 1 | no | — |
| 182 | C8×C4⋊C4 | — | 61 | 1 | no | — |
| 183 | C4×#103 | — | 61 | 1 | no | — |
| 184 | C2×Q8⋊C8 | — | 61 | 1 | no | — |
| 185 | C2×#322 | — | 61 | 1 | no | — |
| 186 | #1279 | — | 61 | 1 | no | — |
| 187 | #1277 | — | 61 | 1 | no | — |
| 188 | C2×C61 | #1753 | 1 | 1 | yes | characteristic |
| 189 | C2×C61 | #1763 | 1 | 1 | yes | characteristic |
| 190 | C2×C61 | #1764 | 1 | 1 | yes | characteristic |
| 191 | D61 | #1585 | 1 | 2 | yes | — |
| 192 | D61 | #1587 | 1 | 2 | yes | — |
| 193 | C2×C4×Q8 | — | 61 | 1 | no | — |
| 194 | #446 | — | 61 | 1 | no | — |
| 195 | #446 | — | 61 | 1 | no | — |
| 196 | #446 | — | 61 | 1 | no | — |
| 197 | #446 | — | 122 | 1 | no | — |
| 198 | #446 | — | 122 | 1 | no | — |
| 199 | #446 | #6923 | 1 | 1 | yes | characteristic, complemented |
| 200 | C2×C4⋊C8 | — | 61 | 1 | no | — |
| 201 | C2×C4⋊C8 | — | 61 | 1 | no | — |
| 202 | C2×C4⋊C8 | — | 122 | 1 | no | — |
| 203 | C2×#103 | — | 61 | 2 | no | — |
| 204 | C2×#97 | — | 122 | 1 | no | — |
| 205 | C2×C4×C8 | — | 61 | 1 | no | — |
| 206 | C2×C4×C8 | — | 61 | 1 | no | — |
| 207 | C2×C4×C8 | — | 61 | 1 | no | — |
| 208 | C2×C4×C8 | — | 122 | 1 | no | — |
| 209 | C4×C4⋊C4 | — | 61 | 1 | no | — |
| 210 | #340 | — | 61 | 2 | no | — |
| 211 | #336 | — | 122 | 1 | no | — |
| 212 | Q8⋊C8 | — | 61 | 2 | no | — |
| 213 | Q8⋊C8 | — | 61 | 2 | no | — |
| 214 | #322 | — | 122 | 1 | no | — |
| 215 | #322 | — | 122 | 1 | no | — |
| 216 | C61 | #8213 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 217 | C22×Q8 | — | 61 | 1 | no | — |
| 218 | C22×C8 | — | 61 | 1 | no | — |
| 219 | C22×C8 | — | 61 | 1 | no | — |
| 220 | C22×C8 | — | 61 | 2 | no | — |
| 221 | C22×C8 | — | 122 | 1 | no | — |
| 222 | C22×C8 | — | 122 | 1 | no | — |
| 223 | C22×C8 | — | 122 | 1 | no | — |
| 224 | C4×Q8 | — | 61 | 1 | no | — |
| 225 | C4×Q8 | — | 61 | 1 | no | — |
| 226 | C4×Q8 | — | 61 | 1 | no | — |
| 227 | C4×Q8 | — | 122 | 1 | no | — |
| 228 | C4×Q8 | — | 122 | 1 | no | — |
| 229 | C4×Q8 | C2×#6923 | 1 | 1 | yes | characteristic |
| 230 | C2×C4⋊C4 | — | 61 | 2 | no | — |
| 231 | C2×C4⋊C4 | — | 61 | 1 | no | — |
| 232 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 233 | C2×C42 | — | 61 | 1 | no | — |
| 234 | C2×C42 | — | 122 | 1 | no | — |
| 235 | C2×C42 | — | 122 | 1 | no | — |
| 236 | C4⋊C8 | — | 2 | 1 | no | — |
| 237 | C4⋊C8 | — | 61 | 2 | no | — |
| 238 | C4⋊C8 | — | 61 | 1 | no | — |
| 239 | C4⋊C8 | — | 122 | 1 | no | — |
| 240 | C4⋊C8 | — | 122 | 1 | no | — |
| 241 | C4⋊C8 | — | 122 | 1 | no | — |
| 242 | C4⋊C8 | — | 122 | 1 | no | — |
| 243 | C4⋊C8 | — | 122 | 1 | no | — |
| 244 | C4⋊C8 | C2×#6923 | 1 | 1 | yes | characteristic |
| 245 | #103 | — | 122 | 4 | no | — |
| 246 | #97 | — | 2 | 1 | no | — |
| 247 | #97 | — | 122 | 1 | no | — |
| 248 | #97 | — | 122 | 1 | no | — |
| 249 | #97 | — | 122 | 1 | no | — |
| 250 | C4×C8 | — | 61 | 1 | no | — |
| 251 | C4×C8 | — | 61 | 1 | no | — |
| 252 | C4×C8 | — | 61 | 2 | no | — |
| 253 | C4×C8 | — | 61 | 1 | no | — |
| 254 | C4×C8 | — | 122 | 1 | no | — |
| 255 | C4×C8 | — | 122 | 1 | no | — |
| 256 | C4×C8 | — | 122 | 1 | no | — |
| 257 | C4×C8 | — | 244 | 2 | no | — |
| 258 | C4×C8 | C2×#6923 | 1 | 1 | yes | characteristic |
| 259 | #95 | — | 122 | 1 | no | — |
| 260 | C2×Q8 | — | 61 | 1 | no | — |
| 261 | C2×Q8 | — | 122 | 1 | no | — |
| 262 | C2×Q8 | — | 122 | 2 | no | — |
| 263 | C2×Q8 | — | 122 | 2 | no | — |
| 264 | C2×Q8 | C4×#6923 | 1 | 1 | yes | characteristic |
| 265 | C22×C4 | — | 61 | 1 | no | — |
| 266 | C22×C4 | — | 61 | 1 | no | — |
| 267 | C22×C4 | — | 61 | 1 | no | — |
| 268 | C22×C4 | — | 122 | 1 | no | — |
| 269 | C22×C4 | — | 122 | 1 | no | — |
| 270 | C22×C4 | — | 122 | 2 | no | — |
| 271 | C2×C8 | — | 2 | 1 | no | — |
| 272 | C2×C8 | — | 61 | 1 | no | — |
| 273 | C2×C8 | — | 61 | 1 | no | — |
| 274 | C2×C8 | — | 122 | 1 | no | — |
| 275 | C2×C8 | — | 122 | 1 | no | — |
| 276 | C2×C8 | — | 122 | 1 | no | — |
| 277 | C2×C8 | — | 122 | 1 | no | — |
| 278 | C2×C8 | — | 122 | 2 | no | — |
| 279 | C2×C8 | — | 122 | 4 | no | — |
| 280 | C2×C8 | — | 122 | 2 | no | — |
| 281 | C2×C8 | — | 122 | 2 | no | — |
| 282 | C2×C8 | — | 122 | 2 | no | — |
| 283 | C2×C8 | — | 122 | 2 | no | — |
| 284 | C2×C8 | — | 122 | 1 | no | — |
| 285 | C2×C8 | — | 244 | 1 | no | — |
| 286 | C2×C8 | — | 244 | 1 | no | — |
| 287 | C2×C8 | — | 244 | 1 | no | — |
| 288 | C2×C8 | — | 244 | 1 | no | — |
| 289 | C2×C8 | C22⋊#6923 | 1 | 1 | yes | characteristic |
| 290 | C2×C8 | C22⋊#6923 | 1 | 1 | yes | characteristic |
| 291 | C4⋊C4 | — | 2 | 1 | no | — |
| 292 | C4⋊C4 | — | 61 | 4 | no | — |
| 293 | C4⋊C4 | — | 61 | 1 | no | — |
| 294 | C4⋊C4 | — | 122 | 1 | no | — |
| 295 | C4⋊C4 | — | 122 | 1 | no | — |
| 296 | C4⋊C4 | — | 122 | 1 | no | — |
| 297 | C4⋊C4 | — | 122 | 2 | no | — |
| 298 | C4⋊C4 | — | 122 | 1 | no | — |
| 299 | C4⋊C4 | C4×#6923 | 1 | 1 | yes | characteristic |
| 300 | C42 | — | 2 | 1 | no | — |
| 301 | C42 | — | 61 | 1 | no | — |
| 302 | C42 | — | 61 | 1 | no | — |
| 303 | C42 | — | 61 | 1 | no | — |
| 304 | C42 | — | 122 | 1 | no | — |
| 305 | C42 | — | 122 | 1 | no | — |
| 306 | C42 | — | 122 | 1 | no | — |
| 307 | C42 | — | 244 | 1 | no | — |
| 308 | C42 | — | 244 | 1 | no | — |
| 309 | C42 | C22×#6923 | 1 | 1 | yes | characteristic |
| 310 | C23 | — | 61 | 1 | no | — |
| 311 | Q8 | — | 2 | 1 | no | — |
| 312 | Q8 | — | 2 | 1 | no | — |
| 313 | Q8 | — | 122 | 1 | no | — |
| 314 | Q8 | — | 122 | 1 | no | — |
| 315 | Q8 | — | 244 | 2 | no | — |
| 316 | C2×C4 | — | 2 | 1 | no | — |
| 317 | C2×C4 | — | 2 | 1 | no | — |
| 318 | C2×C4 | — | 61 | 1 | no | — |
| 319 | C2×C4 | — | 61 | 1 | no | — |
| 320 | C2×C4 | — | 61 | 2 | no | — |
| 321 | C2×C4 | — | 61 | 2 | no | — |
| 322 | C2×C4 | — | 61 | 1 | no | — |
| 323 | C2×C4 | — | 61 | 1 | no | — |
| 324 | C2×C4 | — | 61 | 1 | no | — |
| 325 | C2×C4 | — | 61 | 1 | no | — |
| 326 | C2×C4 | — | 61 | 1 | no | — |
| 327 | C2×C4 | — | 122 | 2 | no | — |
| 328 | C2×C4 | — | 122 | 4 | no | — |
| 329 | C2×C4 | — | 122 | 1 | no | — |
| 330 | C2×C4 | — | 122 | 1 | no | — |
| 331 | C2×C4 | — | 244 | 2 | no | — |
| 332 | C2×C4 | — | 244 | 2 | no | — |
| 333 | C2×C4 | — | 244 | 2 | no | — |
| 334 | C2×C4 | — | 244 | 2 | no | — |
| 335 | C2×C4 | C2×C4×#6923 | 1 | 1 | yes | characteristic |
| 336 | C2×C4 | C2×C22⋊#6923 | 1 | 1 | yes | characteristic |
| 337 | C2×C4 | #14519856 | 1 | 1 | yes | characteristic |
| 338 | C8 | — | 2 | 1 | no | — |
| 339 | C8 | — | 2 | 1 | no | — |
| 340 | C8 | — | 4 | 1 | no | — |
| 341 | C8 | — | 122 | 4 | no | — |
| 342 | C8 | — | 122 | 1 | no | — |
| 343 | C8 | — | 122 | 1 | no | — |
| 344 | C8 | — | 244 | 2 | no | — |
| 345 | C8 | — | 244 | 2 | no | — |
| 346 | C8 | — | 244 | 1 | no | — |
| 347 | C22 | — | 61 | 2 | no | — |
| 348 | C22 | — | 61 | 1 | no | — |
| 349 | C22 | — | 61 | 1 | no | — |
| 350 | C22 | — | 61 | 2 | no | — |
| 351 | C22 | C4×C22⋊#6923 | 1 | 1 | yes | characteristic |
| 352 | C4 | — | 2 | 1 | no | — |
| 353 | C4 | — | 4 | 1 | no | — |
| 354 | C4 | — | 4 | 1 | no | — |
| 355 | C4 | — | 61 | 2 | no | — |
| 356 | C4 | — | 61 | 1 | no | — |
| 357 | C4 | — | 61 | 1 | no | — |
| 358 | C4 | — | 122 | 1 | no | — |
| 359 | C4 | — | 244 | 4 | no | — |
| 360 | C4 | — | 244 | 1 | no | — |
| 361 | C4 | — | 244 | 1 | no | — |
| 362 | C4 | M16×#6923 | 1 | 1 | yes | characteristic |
| 363 | C4 | #16840728 | 1 | 1 | yes | characteristic |
| 364 | C4 | #16840753 | 1 | 1 | yes | characteristic |
| 365 | C4 | #16840755 | 1 | 1 | yes | characteristic |
| 366 | C2 | — | 61 | 2 | no | — |
| 367 | C2 | — | 61 | 2 | no | — |
| 368 | C2 | #21461559 | 1 | 1 | yes | characteristic |
| 369 | C2 | #21461591 | 1 | 1 | yes | characteristic |
| 370 | C2 | #21461593 | 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