← #34254447
Subgroups — #34254447
Order 20224.
848 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 | C2×#19099171 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #23772484 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #23761768 | C2 | 1 | 4 | yes | maximal |
| 4 | #23761754 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #23761744 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #23761732 | C2 | 1 | 2 | yes | maximal |
| 7 | C79×#1467 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #19099171 | — | 2 | 4 | no | — |
| 9 | #19099171 | — | 2 | 4 | no | — |
| 10 | C2×#14579159 | C4 | 1 | 1 | yes | characteristic |
| 11 | C2×#14579156 | C22 | 1 | 2 | yes | — |
| 12 | C2×#14579155 | C4 | 1 | 2 | yes | — |
| 13 | C2×#14579153 | C4 | 1 | 2 | yes | — |
| 14 | C2×#14579152 | C4 | 1 | 1 | yes | characteristic |
| 15 | C2×#14579151 | C22 | 1 | 2 | yes | — |
| 16 | C2×#14579141 | C4 | 1 | 1 | yes | characteristic |
| 17 | C2×#14579137 | C4 | 1 | 1 | yes | characteristic |
| 18 | C2×C4×Dic158 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#14579118 | C22 | 1 | 1 | yes | characteristic |
| 20 | #19098692 | — | 2 | 4 | no | — |
| 21 | #19098691 | — | 2 | 4 | no | — |
| 22 | #19098620 | C22 | 1 | 2 | yes | — |
| 23 | #19098617 | C22 | 1 | 4 | yes | — |
| 24 | #19098613 | C22 | 1 | 4 | yes | — |
| 25 | #19098289 | C22 | 1 | 4 | yes | — |
| 26 | #19098288 | C22 | 1 | 4 | yes | — |
| 27 | #19098286 | C22 | 1 | 4 | yes | — |
| 28 | C2×C4×Q8×C79 | C22 | 1 | 1 | yes | characteristic |
| 29 | #432×C79 | C22 | 1 | 2 | yes | — |
| 30 | #324×C79 | C22 | 1 | 4 | yes | — |
| 31 | C22×Dic158 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C22×C4×D79 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | #14579159 | — | 2 | 4 | no | — |
| 34 | #14579156 | — | 2 | 4 | no | — |
| 35 | #14579156 | — | 2 | 4 | no | — |
| 36 | #14579155 | — | 2 | 4 | no | — |
| 37 | #14579155 | — | 2 | 4 | no | — |
| 38 | #14579153 | — | 2 | 4 | no | — |
| 39 | #14579153 | — | 2 | 4 | no | — |
| 40 | #14579152 | — | 2 | 4 | no | — |
| 41 | #14579151 | — | 2 | 4 | no | — |
| 42 | #14579151 | — | 2 | 4 | no | — |
| 43 | #14579141 | — | 2 | 4 | no | — |
| 44 | #14579137 | — | 2 | 4 | no | — |
| 45 | C4×Dic158 | D4 | 1 | 4 | yes | — |
| 46 | C4×Dic158 | D4 | 1 | 4 | yes | — |
| 47 | #14579118 | — | 2 | 2 | no | — |
| 48 | #14579118 | — | 2 | 2 | no | — |
| 49 | C2×C4⋊Dic79 | C2×C4 | 1 | 2 | yes | — |
| 50 | C2×C4⋊Dic79 | C2×C4 | 1 | 2 | yes | — |
| 51 | C2×C4⋊Dic79 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C2×Dic79⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | C2×Dic79⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 54 | C2×Dic79⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 55 | C2×Dic79⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 56 | C2×Dic79⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 57 | C2×Dic79⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 58 | C2×Dic79⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 59 | C2×(C2×D79)⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | C2×(C2×D79)⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 61 | C2×(C2×D79)⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 62 | C2×(C2×D79)⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×C4×Dic79 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | C2×C4×Dic79 | C23 | 1 | 2 | yes | — |
| 65 | C4⋊(C79⋊C8) | — | 2 | 2 | no | — |
| 66 | Dic79⋊C8 | — | 2 | 4 | no | — |
| 67 | Dic79⋊C8 | — | 2 | 4 | no | — |
| 68 | C22⋊(C79⋊C8) | C23 | 1 | 4 | yes | — |
| 69 | #14579072 | — | 2 | 2 | no | — |
| 70 | #14579071 | — | 2 | 4 | no | — |
| 71 | C8×Dic79 | — | 2 | 4 | no | — |
| 72 | C22×Q8×C79 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | C4×Q8×C79 | — | 2 | 2 | no | — |
| 74 | C4×Q8×C79 | — | 2 | 2 | no | — |
| 75 | C2×C4⋊C4×C79 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | C2×C4⋊C4×C79 | C23 | 1 | 2 | yes | — |
| 77 | C2×C42×C79 | C2×C4 | 1 | 2 | yes | — |
| 78 | C2×C42×C79 | C23 | 1 | 1 | yes | characteristic |
| 79 | C4⋊C8×C79 | — | 2 | 2 | no | — |
| 80 | C22⋊C8×C79 | C23 | 1 | 4 | yes | — |
| 81 | #97×C79 | — | 2 | 2 | no | — |
| 82 | C23×D79 | C22×C4 | 1 | 1 | yes | characteristic |
| 83 | C2×Dic158 | — | 4 | 2 | no | — |
| 84 | C2×Dic158 | C22⋊C4 | 1 | 4 | yes | — |
| 85 | C22×Dic79 | C22×C4 | 1 | 1 | yes | characteristic |
| 86 | C22×Dic79 | C22×C4 | 1 | 2 | yes | — |
| 87 | C22×Dic79 | C22×C4 | 1 | 1 | yes | characteristic |
| 88 | C22×Dic79 | C22×C4 | 1 | 1 | yes | characteristic |
| 89 | C22×Dic79 | C22×C4 | 1 | 2 | yes | — |
| 90 | C2×C4×D79 | — | 2 | 2 | no | — |
| 91 | C2×C4×D79 | — | 4 | 2 | no | — |
| 92 | C2×C79⋊C8 | — | 2 | 4 | no | — |
| 93 | C4⋊Dic79 | — | 2 | 4 | no | — |
| 94 | C4⋊Dic79 | — | 2 | 4 | no | — |
| 95 | C4⋊Dic79 | C22⋊C4 | 1 | 4 | yes | — |
| 96 | Dic79⋊C4 | — | 2 | 4 | no | — |
| 97 | Dic79⋊C4 | — | 2 | 4 | no | — |
| 98 | Dic79⋊C4 | — | 2 | 4 | no | — |
| 99 | Dic79⋊C4 | — | 2 | 4 | no | — |
| 100 | Dic79⋊C4 | — | 2 | 1 | no | — |
| 101 | Dic79⋊C4 | — | 2 | 1 | no | — |
| 102 | Dic79⋊C4 | — | 2 | 2 | no | — |
| 103 | Dic79⋊C4 | C22⋊C4 | 1 | 4 | yes | — |
| 104 | Dic79⋊C4 | C22⋊C4 | 1 | 4 | yes | — |
| 105 | (C2×D79)⋊C4 | — | 2 | 4 | no | — |
| 106 | (C2×D79)⋊C4 | — | 2 | 4 | no | — |
| 107 | (C2×D79)⋊C4 | — | 2 | 1 | no | — |
| 108 | (C2×D79)⋊C4 | — | 2 | 1 | no | — |
| 109 | (C2×D79)⋊C4 | — | 2 | 2 | no | — |
| 110 | C4×Dic79 | — | 2 | 2 | no | — |
| 111 | C4×Dic79 | C2×D4 | 1 | 4 | yes | — |
| 112 | C4×Dic79 | C2×D4 | 1 | 4 | yes | — |
| 113 | C2×Q8×C79 | — | 2 | 2 | no | — |
| 114 | C2×Q8×C79 | — | 4 | 2 | no | — |
| 115 | C22×C4×C79 | C22×C4 | 1 | 2 | yes | — |
| 116 | C22×C4×C79 | C22×C4 | 1 | 1 | yes | characteristic |
| 117 | C22×C4×C79 | C22×C4 | 1 | 2 | yes | — |
| 118 | C22×C4×C79 | C22×C4 | 1 | 1 | yes | characteristic |
| 119 | C22×C4×C79 | C24 | 1 | 1 | yes | characteristic |
| 120 | C2×C8×C79 | — | 2 | 4 | no | — |
| 121 | C4⋊C4×C79 | — | 2 | 2 | no | — |
| 122 | C4⋊C4×C79 | — | 2 | 2 | no | — |
| 123 | C4⋊C4×C79 | — | 2 | 2 | no | — |
| 124 | C42×C79 | — | 2 | 2 | no | — |
| 125 | C42×C79 | — | 2 | 2 | no | — |
| 126 | C42×C79 | C2×D4 | 1 | 2 | yes | — |
| 127 | C42×C79 | C2×D4 | 1 | 2 | yes | — |
| 128 | C23×C79 | C23×C4 | 1 | 1 | yes | characteristic |
| 129 | C22×D79 | — | 2 | 1 | no | — |
| 130 | C22×D79 | — | 2 | 2 | no | — |
| 131 | C22×D79 | — | 4 | 1 | no | — |
| 132 | C22×D79 | — | 4 | 1 | no | — |
| 133 | Q8×C79 | — | 4 | 4 | no | — |
| 134 | C2×C4×C79 | — | 2 | 2 | no | — |
| 135 | C2×C4×C79 | — | 2 | 2 | no | — |
| 136 | C2×C4×C79 | — | 2 | 2 | no | — |
| 137 | C2×C4×C79 | — | 2 | 4 | no | — |
| 138 | C2×C4×C79 | — | 4 | 1 | no | — |
| 139 | C2×C4×C79 | — | 4 | 1 | no | — |
| 140 | C2×C4×C79 | — | 4 | 2 | no | — |
| 141 | C2×C4×C79 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 142 | C2×C4×C79 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C79 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 144 | C2×C4×C79 | C22×D4 | 1 | 2 | yes | — |
| 145 | C2×Dic79 | — | 2 | 4 | no | — |
| 146 | C2×Dic79 | — | 2 | 1 | no | — |
| 147 | C2×Dic79 | — | 2 | 1 | no | — |
| 148 | C2×Dic79 | — | 2 | 1 | no | — |
| 149 | C2×Dic79 | — | 2 | 2 | no | — |
| 150 | C2×Dic79 | — | 4 | 2 | no | — |
| 151 | C2×Dic79 | — | 4 | 1 | no | — |
| 152 | C2×Dic79 | — | 4 | 1 | no | — |
| 153 | C2×Dic79 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 154 | C2×Dic79 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 155 | C4×D79 | — | 4 | 4 | no | — |
| 156 | Dic158 | — | 4 | 4 | no | — |
| 157 | C8×C79 | — | 4 | 4 | no | — |
| 158 | C79⋊C8 | — | 4 | 4 | no | — |
| 159 | C22×C79 | — | 2 | 1 | no | — |
| 160 | C22×C79 | — | 2 | 1 | no | — |
| 161 | C22×C79 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 162 | C22×C79 | #568 | 1 | 2 | yes | — |
| 163 | C2×D79 | — | 4 | 1 | no | — |
| 164 | C2×D79 | — | 4 | 1 | no | — |
| 165 | C2×D79 | — | 4 | 1 | no | — |
| 166 | C2×D79 | — | 8 | 2 | no | — |
| 167 | C4×C79 | — | 2 | 2 | no | — |
| 168 | C4×C79 | — | 2 | 2 | no | — |
| 169 | C4×C79 | — | 2 | 1 | no | — |
| 170 | C4×C79 | — | 2 | 1 | no | — |
| 171 | C4×C79 | — | 4 | 2 | no | — |
| 172 | C4×C79 | — | 4 | 2 | no | — |
| 173 | Dic79 | — | 2 | 4 | no | — |
| 174 | Dic79 | — | 2 | 4 | no | — |
| 175 | Dic79 | — | 4 | 1 | no | — |
| 176 | Dic79 | — | 4 | 1 | no | — |
| 177 | Dic79 | — | 4 | 1 | no | — |
| 178 | #17410 | — | 79 | 1 | no | maximal, Sylow |
| 179 | C2×C79 | — | 2 | 2 | no | — |
| 180 | C2×C79 | #2879 | 1 | 1 | yes | characteristic |
| 181 | C2×C79 | #2884 | 1 | 1 | yes | characteristic |
| 182 | C2×C79 | #2889 | 1 | 1 | yes | characteristic |
| 183 | D79 | — | 8 | 1 | no | — |
| 184 | C2×#541 | — | 79 | 1 | no | — |
| 185 | #2983 | — | 79 | 2 | no | — |
| 186 | #1473 | — | 79 | 4 | no | — |
| 187 | #1470 | — | 79 | 4 | no | — |
| 188 | #1467 | — | 79 | 1 | no | — |
| 189 | #1467 | D79 | 1 | 1 | yes | characteristic, complemented |
| 190 | #1464 | — | 79 | 2 | no | — |
| 191 | C79 | #17410 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 192 | #541 | — | 158 | 4 | no | — |
| 193 | #541 | — | 158 | 4 | no | — |
| 194 | C2×C4⋊Q8 | — | 79 | 1 | no | — |
| 195 | C2×#126 | — | 79 | 2 | no | — |
| 196 | C2×#126 | — | 79 | 2 | no | — |
| 197 | C2×#125 | — | 79 | 2 | no | — |
| 198 | C2×#125 | — | 79 | 1 | no | — |
| 199 | C2×#125 | — | 79 | 2 | no | — |
| 200 | C2×C22⋊Q8 | — | 79 | 1 | no | — |
| 201 | C2×C22⋊Q8 | — | 79 | 1 | no | — |
| 202 | C2×C4×Q8 | — | 79 | 1 | no | — |
| 203 | C2×C4×Q8 | C2×D79 | 1 | 1 | yes | characteristic |
| 204 | C2×#117 | — | 79 | 1 | no | — |
| 205 | #446 | — | 158 | 4 | no | — |
| 206 | #446 | — | 158 | 4 | no | — |
| 207 | #432 | — | 79 | 2 | no | — |
| 208 | #432 | — | 79 | 4 | no | — |
| 209 | #432 | C2×D79 | 1 | 2 | yes | — |
| 210 | #431 | — | 79 | 4 | no | — |
| 211 | #324 | — | 79 | 4 | no | — |
| 212 | #324 | — | 79 | 4 | no | — |
| 213 | #324 | C2×D79 | 1 | 4 | yes | — |
| 214 | #323 | — | 79 | 4 | no | — |
| 215 | C22×Q8 | — | 79 | 1 | no | — |
| 216 | C22×Q8 | C4×D79 | 1 | 1 | yes | characteristic |
| 217 | C23×C4 | — | 79 | 1 | no | — |
| 218 | C4⋊Q8 | — | 158 | 4 | no | — |
| 219 | #126 | — | 158 | 4 | no | — |
| 220 | #126 | — | 158 | 4 | no | — |
| 221 | #126 | — | 158 | 4 | no | — |
| 222 | #126 | — | 158 | 4 | no | — |
| 223 | #125 | — | 158 | 4 | no | — |
| 224 | #125 | — | 158 | 4 | no | — |
| 225 | #125 | — | 158 | 4 | no | — |
| 226 | #125 | — | 158 | 4 | no | — |
| 227 | #125 | — | 158 | 4 | no | — |
| 228 | C22⋊Q8 | — | 158 | 4 | no | — |
| 229 | C22⋊Q8 | — | 158 | 4 | no | — |
| 230 | C4×Q8 | — | 2 | 2 | no | — |
| 231 | C4×Q8 | — | 2 | 2 | no | — |
| 232 | C4×Q8 | — | 79 | 4 | no | — |
| 233 | C4×Q8 | — | 79 | 4 | no | — |
| 234 | #117 | — | 158 | 2 | no | — |
| 235 | #117 | — | 158 | 2 | no | — |
| 236 | C2×C4⋊C4 | — | 79 | 1 | no | — |
| 237 | C2×C4⋊C4 | — | 79 | 2 | no | — |
| 238 | C2×C4⋊C4 | — | 79 | 1 | no | — |
| 239 | C2×C4⋊C4 | — | 79 | 2 | no | — |
| 240 | C2×C4⋊C4 | — | 79 | 2 | no | — |
| 241 | C2×C4⋊C4 | — | 79 | 2 | no | — |
| 242 | C2×C4⋊C4 | — | 79 | 2 | no | — |
| 243 | C2×C4⋊C4 | — | 79 | 2 | no | — |
| 244 | C2×C4⋊C4 | — | 79 | 2 | no | — |
| 245 | C2×C4⋊C4 | — | 79 | 1 | no | — |
| 246 | C2×C4⋊C4 | C4×D79 | 1 | 1 | yes | characteristic |
| 247 | C2×C4⋊C4 | C22×D79 | 1 | 2 | yes | — |
| 248 | C2×C22⋊C4 | — | 79 | 1 | no | — |
| 249 | C2×C22⋊C4 | — | 79 | 2 | no | — |
| 250 | C2×C22⋊C4 | — | 79 | 2 | no | — |
| 251 | C2×C22⋊C4 | — | 79 | 1 | no | — |
| 252 | C2×C42 | — | 79 | 2 | no | — |
| 253 | C2×C42 | — | 79 | 1 | no | — |
| 254 | C2×C42 | C4×D79 | 1 | 2 | yes | — |
| 255 | C2×C42 | C22×D79 | 1 | 1 | yes | characteristic |
| 256 | C4⋊C8 | — | 2 | 2 | no | — |
| 257 | C4⋊C8 | — | 158 | 4 | no | — |
| 258 | C4⋊C8 | — | 158 | 4 | no | — |
| 259 | C4⋊C8 | — | 158 | 2 | no | — |
| 260 | C22⋊C8 | — | 79 | 4 | no | — |
| 261 | C22⋊C8 | C22×D79 | 1 | 4 | yes | — |
| 262 | #97 | — | 2 | 2 | no | — |
| 263 | #97 | — | 158 | 4 | no | — |
| 264 | #97 | — | 158 | 2 | no | — |
| 265 | C4×C8 | — | 158 | 4 | no | — |
| 266 | C24 | — | 79 | 1 | no | — |
| 267 | C2×Q8 | — | 2 | 2 | no | — |
| 268 | C2×Q8 | — | 4 | 2 | no | — |
| 269 | C2×Q8 | — | 316 | 2 | no | — |
| 270 | C2×Q8 | — | 79 | 4 | no | — |
| 271 | C22×C4 | — | 316 | 2 | no | — |
| 272 | C22×C4 | — | 79 | 2 | no | — |
| 273 | C22×C4 | — | 79 | 1 | no | — |
| 274 | C22×C4 | — | 79 | 1 | no | — |
| 275 | C22×C4 | — | 79 | 2 | no | — |
| 276 | C22×C4 | — | 79 | 1 | no | — |
| 277 | C22×C4 | — | 158 | 2 | no | — |
| 278 | C22×C4 | C2×C4×D79 | 1 | 2 | yes | — |
| 279 | C22×C4 | C2×C4×D79 | 1 | 1 | yes | characteristic |
| 280 | C22×C4 | C2×C4×D79 | 1 | 2 | yes | — |
| 281 | C22×C4 | C2×C4×D79 | 1 | 1 | yes | characteristic |
| 282 | C22×C4 | C23×D79 | 1 | 1 | yes | characteristic |
| 283 | C2×C8 | — | 2 | 4 | no | — |
| 284 | C2×C8 | — | 158 | 4 | no | — |
| 285 | C4⋊C4 | — | 2 | 2 | no | — |
| 286 | C4⋊C4 | — | 2 | 2 | no | — |
| 287 | C4⋊C4 | — | 2 | 2 | no | — |
| 288 | C4⋊C4 | — | 79 | 4 | no | — |
| 289 | C4⋊C4 | — | 79 | 4 | no | — |
| 290 | C4⋊C4 | — | 79 | 4 | no | — |
| 291 | C4⋊C4 | — | 158 | 4 | no | — |
| 292 | C4⋊C4 | — | 158 | 4 | no | — |
| 293 | C4⋊C4 | — | 158 | 4 | no | — |
| 294 | C4⋊C4 | — | 158 | 4 | no | — |
| 295 | C4⋊C4 | — | 158 | 4 | no | — |
| 296 | C4⋊C4 | — | 158 | 4 | no | — |
| 297 | C4⋊C4 | — | 158 | 1 | no | — |
| 298 | C4⋊C4 | — | 158 | 1 | no | — |
| 299 | C4⋊C4 | — | 158 | 2 | no | — |
| 300 | C22⋊C4 | — | 158 | 4 | no | — |
| 301 | C22⋊C4 | — | 158 | 4 | no | — |
| 302 | C22⋊C4 | — | 158 | 1 | no | — |
| 303 | C22⋊C4 | — | 158 | 1 | no | — |
| 304 | C22⋊C4 | — | 158 | 2 | no | — |
| 305 | C42 | — | 2 | 2 | no | — |
| 306 | C42 | — | 2 | 2 | no | — |
| 307 | C42 | — | 79 | 4 | no | — |
| 308 | C42 | — | 79 | 4 | no | — |
| 309 | C42 | — | 158 | 2 | no | — |
| 310 | C42 | D4×D79 | 1 | 2 | yes | — |
| 311 | C42 | D4×D79 | 1 | 2 | yes | — |
| 312 | C23 | — | 316 | 1 | no | — |
| 313 | C23 | — | 316 | 1 | no | — |
| 314 | C23 | — | 158 | 1 | no | — |
| 315 | C23 | — | 158 | 2 | no | — |
| 316 | C23 | C22×C4×D79 | 1 | 1 | yes | characteristic |
| 317 | Q8 | — | 4 | 4 | no | — |
| 318 | Q8 | — | 316 | 4 | no | — |
| 319 | C2×C4 | — | 2 | 2 | no | — |
| 320 | C2×C4 | — | 2 | 2 | no | — |
| 321 | C2×C4 | — | 2 | 2 | no | — |
| 322 | C2×C4 | — | 2 | 4 | no | — |
| 323 | C2×C4 | — | 4 | 1 | no | — |
| 324 | C2×C4 | — | 4 | 1 | no | — |
| 325 | C2×C4 | — | 4 | 2 | no | — |
| 326 | C2×C4 | — | 316 | 4 | no | — |
| 327 | C2×C4 | — | 316 | 1 | no | — |
| 328 | C2×C4 | — | 316 | 1 | no | — |
| 329 | C2×C4 | — | 316 | 2 | no | — |
| 330 | C2×C4 | — | 79 | 4 | no | — |
| 331 | C2×C4 | — | 79 | 4 | no | — |
| 332 | C2×C4 | — | 158 | 1 | no | — |
| 333 | C2×C4 | — | 158 | 1 | no | — |
| 334 | C2×C4 | — | 158 | 1 | no | — |
| 335 | C2×C4 | — | 158 | 2 | no | — |
| 336 | C2×C4 | — | 158 | 4 | no | — |
| 337 | C2×C4 | C22⋊C4×D79 | 1 | 1 | yes | characteristic |
| 338 | C2×C4 | C22⋊C4×D79 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | C22⋊C4×D79 | 1 | 2 | yes | — |
| 340 | C2×C4 | C2×D4×D79 | 1 | 2 | yes | — |
| 341 | C8 | — | 4 | 4 | no | — |
| 342 | C8 | — | 316 | 4 | no | — |
| 343 | C22 | — | 2 | 1 | no | — |
| 344 | C22 | — | 2 | 1 | no | — |
| 345 | C22 | — | 316 | 1 | no | — |
| 346 | C22 | — | 316 | 1 | no | — |
| 347 | C22 | — | 316 | 1 | no | — |
| 348 | C22 | — | 632 | 2 | no | — |
| 349 | C22 | C2×C22⋊C4×D79 | 1 | 1 | yes | characteristic |
| 350 | C22 | #19099329 | 1 | 2 | yes | — |
| 351 | C4 | — | 2 | 2 | no | — |
| 352 | C4 | — | 2 | 2 | no | — |
| 353 | C4 | — | 2 | 1 | no | — |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 4 | 2 | no | — |
| 356 | C4 | — | 4 | 2 | no | — |
| 357 | C4 | — | 316 | 1 | no | — |
| 358 | C4 | — | 316 | 1 | no | — |
| 359 | C4 | — | 316 | 1 | no | — |
| 360 | C4 | — | 158 | 4 | no | — |
| 361 | C4 | — | 158 | 4 | no | — |
| 362 | C2 | — | 2 | 2 | no | — |
| 363 | C2 | — | 632 | 1 | no | — |
| 364 | C2 | #23771843 | 1 | 1 | yes | characteristic |
| 365 | C2 | #23771862 | 1 | 1 | yes | characteristic |
| 366 | C2 | #23771880 | 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