← #34347150
Subgroups — #34347150
Order 20224.
674 conjugacy classes of subgroups.
The subgroup lattice has 410 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #23773932 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #23773251 | C2 | 1 | 2 | yes | maximal |
| 3 | #23764908 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #23764748 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #23764178 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #23764149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #23763633 | C2 | 1 | 2 | yes | maximal |
| 8 | #23763561 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #23763459 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #23763235 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | C79×#2912 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #19099191 | C22 | 1 | 2 | yes | — |
| 13 | #19098971 | — | 2 | 2 | no | — |
| 14 | #19098963 | — | 2 | 1 | no | — |
| 15 | #19098960 | — | 2 | 1 | no | — |
| 16 | #19098870 | — | 2 | 2 | no | — |
| 17 | #19098863 | — | 2 | 2 | no | — |
| 18 | #19098858 | — | 2 | 2 | no | — |
| 19 | #19098843 | — | 2 | 2 | no | — |
| 20 | C2×#14579097 | C22 | 1 | 1 | yes | characteristic |
| 21 | #19098606 | C22 | 1 | 2 | yes | — |
| 22 | #19098603 | C22 | 1 | 2 | yes | — |
| 23 | C2×#14579094 | C22 | 1 | 2 | yes | — |
| 24 | C2×#14579093 | C22 | 1 | 1 | yes | characteristic |
| 25 | #19098590 | C22 | 1 | 2 | yes | — |
| 26 | C2×#14579088 | C22 | 1 | 1 | yes | characteristic |
| 27 | #19098564 | C22 | 1 | 2 | yes | — |
| 28 | #19098559 | C22 | 1 | 1 | yes | characteristic |
| 29 | #19098518 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×C8×Dic79 | C22 | 1 | 1 | yes | characteristic |
| 31 | #19098428 | C22 | 1 | 2 | yes | — |
| 32 | #19098332 | C22 | 1 | 2 | yes | — |
| 33 | #19098331 | C22 | 1 | 2 | yes | — |
| 34 | #19098327 | C22 | 1 | 1 | yes | characteristic |
| 35 | #19098324 | C22 | 1 | 1 | yes | characteristic |
| 36 | #19098322 | C22 | 1 | 2 | yes | — |
| 37 | C2×#131×C79 | C22 | 1 | 1 | yes | characteristic |
| 38 | #520×C79 | C22 | 1 | 2 | yes | — |
| 39 | #428×C79 | — | 2 | 2 | no | — |
| 40 | #428×C79 | C22 | 1 | 2 | yes | — |
| 41 | #427×C79 | — | 2 | 1 | no | — |
| 42 | #427×C79 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#106×C79 | — | 2 | 1 | no | — |
| 44 | C2×#106×C79 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#11929608 | C23 | 1 | 2 | yes | — |
| 46 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 47 | C22×C79⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 48 | #14579161 | — | 2 | 2 | no | — |
| 49 | #14579160 | — | 2 | 2 | no | — |
| 50 | #14579153 | — | 2 | 2 | no | — |
| 51 | #14579152 | — | 2 | 2 | no | — |
| 52 | #14579138 | — | 4 | 2 | no | — |
| 53 | #14579120 | C23 | 1 | 1 | yes | characteristic |
| 54 | C2×C4⋊Dic79 | C23 | 1 | 2 | yes | — |
| 55 | C2×C4×Dic79 | C23 | 1 | 1 | yes | characteristic |
| 56 | #14579097 | — | 2 | 2 | no | — |
| 57 | #14579094 | — | 2 | 2 | no | — |
| 58 | #14579094 | — | 2 | 2 | no | — |
| 59 | #14579094 | — | 2 | 2 | no | — |
| 60 | #14579094 | — | 2 | 2 | no | — |
| 61 | #14579093 | — | 2 | 1 | no | — |
| 62 | #14579093 | — | 2 | 1 | no | — |
| 63 | #14579092 | — | 2 | 2 | no | — |
| 64 | #14579092 | — | 2 | 2 | no | — |
| 65 | C4⋊(C79⋊C8) | — | 2 | 2 | no | — |
| 66 | C4⋊(C79⋊C8) | — | 2 | 2 | no | — |
| 67 | #14579088 | Q8 | 1 | 4 | yes | complemented |
| 68 | #14579085 | — | 2 | 2 | no | — |
| 69 | #14579085 | D4 | 1 | 2 | yes | — |
| 70 | #14579082 | — | 2 | 2 | no | — |
| 71 | #14579082 | D4 | 1 | 2 | yes | — |
| 72 | #14579071 | — | 2 | 1 | no | — |
| 73 | C8×Dic79 | — | 2 | 1 | no | — |
| 74 | C8×Dic79 | — | 2 | 2 | no | — |
| 75 | C79⋊#95 | — | 4 | 2 | no | — |
| 76 | C2×#41×C79 | C23 | 1 | 1 | yes | characteristic |
| 77 | #131×C79 | — | 2 | 2 | no | — |
| 78 | #131×C79 | Q8 | 1 | 4 | yes | complemented |
| 79 | C2×M16×C79 | — | 2 | 1 | no | — |
| 80 | C2×M16×C79 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×C8×C79 | — | 2 | 1 | no | — |
| 82 | C22×C8×C79 | C23 | 1 | 1 | yes | characteristic |
| 83 | C4×Q8×C79 | — | 2 | 2 | no | — |
| 84 | C4×D4×C79 | — | 2 | 2 | no | — |
| 85 | C4×D4×C79 | — | 4 | 2 | no | — |
| 86 | #117×C79 | — | 2 | 2 | no | — |
| 87 | #117×C79 | C23 | 1 | 2 | yes | — |
| 88 | C2×C4⋊C4×C79 | — | 2 | 2 | no | — |
| 89 | C2×C4⋊C4×C79 | C23 | 1 | 2 | yes | — |
| 90 | #107×C79 | — | 2 | 2 | no | — |
| 91 | #107×C79 | D4 | 1 | 2 | yes | — |
| 92 | #106×C79 | — | 2 | 1 | no | — |
| 93 | #106×C79 | — | 2 | 1 | no | — |
| 94 | #106×C79 | — | 2 | 2 | no | — |
| 95 | #106×C79 | D4 | 1 | 1 | yes | characteristic |
| 96 | #106×C79 | D4 | 1 | 1 | yes | characteristic |
| 97 | C2×Dic158 | — | 4 | 2 | no | — |
| 98 | C22×Dic79 | — | 2 | 1 | no | — |
| 99 | C22×Dic79 | — | 2 | 2 | no | — |
| 100 | #11929608 | — | 2 | 2 | no | — |
| 101 | #11929608 | — | 2 | 1 | no | — |
| 102 | #11929608 | — | 2 | 2 | no | — |
| 103 | #11929608 | C2×Q8 | 1 | 2 | yes | — |
| 104 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 105 | C2×C79⋊C8 | — | 2 | 2 | no | — |
| 106 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 107 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 108 | C2×C79⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 109 | C4⋊Dic79 | — | 2 | 2 | no | — |
| 110 | C4⋊Dic79 | — | 2 | 2 | no | — |
| 111 | C4⋊Dic79 | — | 4 | 2 | no | — |
| 112 | C4⋊Dic79 | C2×D4 | 1 | 2 | yes | — |
| 113 | Dic79⋊C4 | — | 4 | 2 | no | — |
| 114 | Dic79⋊C4 | — | 4 | 2 | no | — |
| 115 | C22⋊Dic79 | — | 2 | 1 | no | — |
| 116 | C4×Dic79 | — | 2 | 1 | no | — |
| 117 | C4×Dic79 | — | 2 | 1 | no | — |
| 118 | C4×Dic79 | C2×Q8 | 1 | 2 | yes | — |
| 119 | #41×C79 | — | 2 | 1 | no | — |
| 120 | #41×C79 | — | 2 | 1 | no | — |
| 121 | #41×C79 | C2×Q8 | 1 | 2 | yes | — |
| 122 | #41×C79 | C2×Q8 | 1 | 2 | yes | — |
| 123 | C2×Q8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C2×D4×C79 | — | 2 | 1 | no | — |
| 125 | C2×D4×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C22×C4×C79 | — | 2 | 1 | no | — |
| 127 | C22×C4×C79 | — | 2 | 2 | no | — |
| 128 | C22×C4×C79 | — | 4 | 2 | no | — |
| 129 | C22×C4×C79 | C24 | 1 | 1 | yes | characteristic |
| 130 | M16×C79 | — | 2 | 4 | no | — |
| 131 | M16×C79 | — | 2 | 1 | no | — |
| 132 | M16×C79 | C2×Q8 | 1 | 2 | yes | — |
| 133 | C2×C8×C79 | — | 2 | 4 | no | — |
| 134 | C2×C8×C79 | — | 2 | 1 | no | — |
| 135 | C2×C8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C2×C8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C2×C8×C79 | C2×Q8 | 1 | 2 | yes | — |
| 138 | C2×C8×C79 | #41 | 1 | 2 | yes | — |
| 139 | C4⋊C4×C79 | — | 2 | 2 | no | — |
| 140 | C4⋊C4×C79 | — | 2 | 2 | no | — |
| 141 | C4⋊C4×C79 | — | 4 | 2 | no | — |
| 142 | C4⋊C4×C79 | C2×D4 | 1 | 2 | yes | — |
| 143 | C4⋊C4×C79 | C2×D4 | 1 | 2 | yes | — |
| 144 | C22⋊C4×C79 | — | 2 | 2 | no | — |
| 145 | C22⋊C4×C79 | — | 4 | 2 | no | — |
| 146 | C42×C79 | — | 2 | 2 | no | — |
| 147 | C42×C79 | — | 4 | 2 | no | — |
| 148 | C23×C79 | — | 2 | 1 | no | — |
| 149 | C23×C79 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 150 | Q8×C79 | — | 2 | 1 | no | — |
| 151 | Q8×C79 | C4⋊Q8 | 1 | 2 | yes | — |
| 152 | D4×C79 | — | 2 | 2 | no | — |
| 153 | D4×C79 | — | 2 | 2 | no | — |
| 154 | D4×C79 | — | 2 | 1 | no | — |
| 155 | D4×C79 | C4⋊Q8 | 1 | 2 | yes | — |
| 156 | C2×C4×C79 | — | 2 | 1 | no | — |
| 157 | C2×C4×C79 | — | 2 | 2 | no | — |
| 158 | C2×C4×C79 | — | 2 | 2 | no | — |
| 159 | C2×C4×C79 | — | 2 | 2 | no | — |
| 160 | C2×C4×C79 | — | 2 | 2 | no | — |
| 161 | C2×C4×C79 | — | 4 | 2 | no | — |
| 162 | C2×C4×C79 | — | 8 | 2 | no | — |
| 163 | C2×C4×C79 | — | 16 | 2 | no | — |
| 164 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 166 | C2×C4×C79 | C22×Q8 | 1 | 1 | yes | characteristic |
| 167 | C2×C4×C79 | C22×Q8 | 1 | 1 | yes | characteristic |
| 168 | C2×C4×C79 | C2×#41 | 1 | 1 | yes | characteristic |
| 169 | C2×C4×C79 | 2−1+4 | 1 | 1 | yes | characteristic |
| 170 | C2×Dic79 | — | 2 | 2 | no | — |
| 171 | C2×Dic79 | — | 2 | 2 | no | — |
| 172 | C2×Dic79 | — | 4 | 2 | no | — |
| 173 | C2×Dic79 | — | 4 | 2 | no | — |
| 174 | C2×Dic79 | — | 8 | 2 | no | — |
| 175 | Dic158 | — | 16 | 2 | no | — |
| 176 | C8×C79 | — | 2 | 2 | no | — |
| 177 | C8×C79 | C22⋊Q8 | 1 | 2 | yes | — |
| 178 | C8×C79 | C22⋊Q8 | 1 | 2 | yes | — |
| 179 | C79⋊C8 | — | 2 | 2 | no | — |
| 180 | C79⋊C8 | — | 2 | 2 | no | — |
| 181 | C79⋊C8 | — | 4 | 2 | no | — |
| 182 | C22×C79 | — | 2 | 2 | no | — |
| 183 | C22×C79 | — | 2 | 2 | no | — |
| 184 | C22×C79 | — | 4 | 2 | no | — |
| 185 | C22×C79 | #544 | 1 | 1 | yes | characteristic |
| 186 | C22×C79 | D42 | 1 | 1 | yes | characteristic |
| 187 | C22×C79 | #554 | 1 | 1 | yes | characteristic |
| 188 | C4×C79 | — | 2 | 2 | no | — |
| 189 | C4×C79 | — | 4 | 2 | no | — |
| 190 | C4×C79 | — | 4 | 2 | no | — |
| 191 | C4×C79 | — | 8 | 2 | no | — |
| 192 | C4×C79 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 193 | C4×C79 | C2×C4⋊Q8 | 1 | 1 | yes | characteristic |
| 194 | C4×C79 | #547 | 1 | 1 | yes | characteristic |
| 195 | C4×C79 | D4×Q8 | 1 | 1 | yes | characteristic |
| 196 | Dic79 | — | 4 | 2 | no | — |
| 197 | Dic79 | — | 4 | 2 | no | — |
| 198 | Dic79 | — | 8 | 2 | no | — |
| 199 | #26080 | — | 79 | 1 | no | maximal, Sylow |
| 200 | C2×C79 | — | 2 | 1 | no | — |
| 201 | C2×C79 | — | 2 | 1 | no | — |
| 202 | C2×C79 | — | 4 | 2 | no | — |
| 203 | C2×C79 | #2440 | 1 | 1 | yes | characteristic |
| 204 | C2×C79 | #3290 | 1 | 2 | yes | — |
| 205 | #3163 | — | 79 | 1 | no | — |
| 206 | #3083 | — | 79 | 2 | no | — |
| 207 | #2912 | D79 | 1 | 1 | yes | characteristic |
| 208 | #2089 | — | 79 | 2 | no | — |
| 209 | #2061 | — | 79 | 2 | no | — |
| 210 | #1951 | — | 79 | 1 | no | — |
| 211 | #1945 | — | 79 | 1 | no | — |
| 212 | #1860 | — | 79 | 2 | no | — |
| 213 | #1846 | — | 79 | 1 | no | — |
| 214 | #1815 | — | 79 | 1 | no | — |
| 215 | #1764 | — | 79 | 1 | no | — |
| 216 | C79 | #26080 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 217 | C2×#131 | C2×D79 | 1 | 1 | yes | characteristic |
| 218 | #544 | — | 79 | 2 | no | — |
| 219 | #520 | C2×D79 | 1 | 2 | yes | — |
| 220 | #501 | — | 158 | 2 | no | — |
| 221 | #499 | — | 158 | 1 | no | — |
| 222 | #498 | — | 158 | 1 | no | — |
| 223 | #479 | — | 158 | 2 | no | — |
| 224 | #478 | — | 158 | 2 | no | — |
| 225 | #477 | — | 158 | 2 | no | — |
| 226 | #474 | — | 158 | 2 | no | — |
| 227 | C2×#108 | — | 79 | 1 | no | — |
| 228 | #428 | — | 2 | 2 | no | — |
| 229 | #428 | — | 79 | 2 | no | — |
| 230 | #428 | — | 79 | 2 | no | — |
| 231 | #428 | C2×D79 | 1 | 2 | yes | — |
| 232 | #427 | — | 2 | 1 | no | — |
| 233 | #427 | C2×D79 | 1 | 1 | yes | characteristic |
| 234 | C2×#107 | — | 79 | 2 | no | — |
| 235 | C2×#106 | — | 2 | 1 | no | — |
| 236 | C2×#106 | — | 79 | 1 | no | — |
| 237 | C2×#106 | C2×D79 | 1 | 1 | yes | characteristic |
| 238 | #424 | — | 79 | 2 | no | — |
| 239 | C2×#104 | — | 79 | 1 | no | — |
| 240 | #417 | — | 79 | 2 | no | — |
| 241 | #416 | — | 79 | 1 | no | — |
| 242 | #405 | — | 79 | 1 | no | — |
| 243 | C2×C4×C8 | — | 79 | 1 | no | — |
| 244 | #382 | — | 79 | 2 | no | — |
| 245 | #343 | — | 79 | 2 | no | — |
| 246 | #343 | — | 79 | 2 | no | — |
| 247 | #341 | — | 79 | 1 | no | — |
| 248 | #339 | — | 79 | 1 | no | — |
| 249 | #339 | — | 79 | 2 | no | — |
| 250 | C2×#41 | C22×D79 | 1 | 1 | yes | characteristic |
| 251 | #131 | — | 2 | 2 | no | — |
| 252 | #131 | Dic158 | 1 | 4 | yes | complemented |
| 253 | C2×M16 | — | 2 | 1 | no | — |
| 254 | C2×M16 | — | 79 | 1 | no | — |
| 255 | C2×M16 | — | 79 | 2 | no | — |
| 256 | C2×M16 | C22×D79 | 1 | 1 | yes | characteristic |
| 257 | C22×C8 | — | 2 | 1 | no | — |
| 258 | C22×C8 | — | 79 | 1 | no | — |
| 259 | C22×C8 | C22×D79 | 1 | 1 | yes | characteristic |
| 260 | C4⋊Q8 | — | 158 | 2 | no | — |
| 261 | C4⋊Q8 | — | 158 | 2 | no | — |
| 262 | #125 | — | 158 | 2 | no | — |
| 263 | #125 | — | 158 | 2 | no | — |
| 264 | C22⋊Q8 | — | 316 | 2 | no | — |
| 265 | C4×Q8 | — | 2 | 2 | no | — |
| 266 | C4×D4 | — | 2 | 2 | no | — |
| 267 | C4×D4 | — | 4 | 2 | no | — |
| 268 | #117 | — | 2 | 2 | no | — |
| 269 | #117 | — | 79 | 1 | no | — |
| 270 | #117 | C22×D79 | 1 | 2 | yes | — |
| 271 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 272 | C2×C4⋊C4 | — | 79 | 2 | no | — |
| 273 | C2×C4⋊C4 | C22×D79 | 1 | 2 | yes | — |
| 274 | C2×C42 | — | 79 | 1 | no | — |
| 275 | #108 | — | 158 | 2 | no | — |
| 276 | #107 | — | 2 | 2 | no | — |
| 277 | #107 | — | 158 | 2 | no | — |
| 278 | #107 | — | 158 | 2 | no | — |
| 279 | #107 | — | 158 | 2 | no | — |
| 280 | #107 | — | 158 | 2 | no | — |
| 281 | #107 | C22⋊D79 | 1 | 2 | yes | — |
| 282 | #106 | — | 2 | 1 | no | — |
| 283 | #106 | — | 2 | 1 | no | — |
| 284 | #106 | — | 2 | 2 | no | — |
| 285 | #106 | — | 158 | 2 | no | — |
| 286 | #106 | — | 158 | 1 | no | — |
| 287 | #106 | — | 158 | 1 | no | — |
| 288 | #106 | — | 158 | 2 | no | — |
| 289 | #106 | C22⋊D79 | 1 | 1 | yes | characteristic |
| 290 | #106 | C22⋊D79 | 1 | 1 | yes | characteristic |
| 291 | C4⋊C8 | — | 158 | 2 | no | — |
| 292 | C4⋊C8 | — | 158 | 2 | no | — |
| 293 | #104 | — | 79 | 4 | no | — |
| 294 | #103 | — | 79 | 2 | no | — |
| 295 | #103 | — | 158 | 2 | no | — |
| 296 | #102 | — | 79 | 2 | no | — |
| 297 | #102 | — | 158 | 2 | no | — |
| 298 | #97 | — | 158 | 1 | no | — |
| 299 | C4×C8 | — | 158 | 1 | no | — |
| 300 | C4×C8 | — | 158 | 2 | no | — |
| 301 | #95 | — | 316 | 2 | no | — |
| 302 | #41 | — | 2 | 1 | no | — |
| 303 | #41 | — | 2 | 1 | no | — |
| 304 | #41 | Q8×D79 | 1 | 2 | yes | — |
| 305 | #41 | C2×Dic158 | 1 | 2 | yes | — |
| 306 | C2×Q8 | — | 316 | 2 | no | — |
| 307 | C2×Q8 | D4×D79 | 1 | 1 | yes | characteristic |
| 308 | C2×D4 | — | 2 | 1 | no | — |
| 309 | C2×D4 | D4×D79 | 1 | 1 | yes | characteristic |
| 310 | C22×C4 | — | 2 | 1 | no | — |
| 311 | C22×C4 | — | 2 | 2 | no | — |
| 312 | C22×C4 | — | 4 | 2 | no | — |
| 313 | C22×C4 | — | 158 | 1 | no | — |
| 314 | C22×C4 | — | 158 | 2 | no | — |
| 315 | C22×C4 | C23×D79 | 1 | 1 | yes | characteristic |
| 316 | M16 | — | 2 | 1 | no | — |
| 317 | M16 | — | 2 | 4 | no | — |
| 318 | M16 | — | 79 | 2 | no | — |
| 319 | M16 | — | 158 | 2 | no | — |
| 320 | M16 | — | 158 | 2 | no | — |
| 321 | M16 | — | 158 | 1 | no | — |
| 322 | M16 | C2×Dic158 | 1 | 2 | yes | — |
| 323 | C2×C8 | — | 2 | 1 | no | — |
| 324 | C2×C8 | — | 2 | 4 | no | — |
| 325 | C2×C8 | — | 79 | 2 | no | — |
| 326 | C2×C8 | — | 158 | 2 | no | — |
| 327 | C2×C8 | — | 158 | 1 | no | — |
| 328 | C2×C8 | — | 158 | 1 | no | — |
| 329 | C2×C8 | — | 158 | 1 | no | — |
| 330 | C2×C8 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 331 | C2×C8 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 332 | C2×C8 | C2×Dic158 | 1 | 2 | yes | — |
| 333 | C2×C8 | #11929624 | 1 | 2 | yes | — |
| 334 | C4⋊C4 | — | 2 | 2 | no | — |
| 335 | C4⋊C4 | — | 2 | 2 | no | — |
| 336 | C4⋊C4 | — | 4 | 2 | no | — |
| 337 | C4⋊C4 | — | 316 | 2 | no | — |
| 338 | C4⋊C4 | — | 316 | 2 | no | — |
| 339 | C4⋊C4 | — | 316 | 2 | no | — |
| 340 | C4⋊C4 | — | 79 | 2 | no | — |
| 341 | C4⋊C4 | — | 158 | 2 | no | — |
| 342 | C4⋊C4 | — | 158 | 2 | no | — |
| 343 | C4⋊C4 | C2×C22⋊D79 | 1 | 2 | yes | — |
| 344 | C4⋊C4 | C2×C22⋊D79 | 1 | 2 | yes | — |
| 345 | C22⋊C4 | — | 2 | 2 | no | — |
| 346 | C22⋊C4 | — | 4 | 2 | no | — |
| 347 | C22⋊C4 | — | 158 | 1 | no | — |
| 348 | C42 | — | 2 | 2 | no | — |
| 349 | C42 | — | 4 | 2 | no | — |
| 350 | C42 | — | 79 | 2 | no | — |
| 351 | C42 | — | 158 | 1 | no | — |
| 352 | C42 | — | 158 | 1 | no | — |
| 353 | C23 | — | 2 | 1 | no | — |
| 354 | C23 | #14579206 | 1 | 1 | yes | characteristic |
| 355 | Q8 | — | 2 | 1 | no | — |
| 356 | Q8 | — | 1264 | 2 | no | — |
| 357 | Q8 | #14579160 | 1 | 2 | yes | — |
| 358 | D4 | — | 2 | 2 | no | — |
| 359 | D4 | — | 2 | 2 | no | — |
| 360 | D4 | — | 2 | 1 | no | — |
| 361 | D4 | #14579160 | 1 | 2 | yes | — |
| 362 | C2×C4 | — | 2 | 1 | no | — |
| 363 | C2×C4 | — | 2 | 2 | no | — |
| 364 | C2×C4 | — | 2 | 2 | no | — |
| 365 | C2×C4 | — | 2 | 2 | no | — |
| 366 | C2×C4 | — | 2 | 2 | no | — |
| 367 | C2×C4 | — | 4 | 2 | no | — |
| 368 | C2×C4 | — | 8 | 2 | no | — |
| 369 | C2×C4 | — | 16 | 2 | no | — |
| 370 | C2×C4 | — | 316 | 2 | no | — |
| 371 | C2×C4 | — | 316 | 2 | no | — |
| 372 | C2×C4 | — | 632 | 2 | no | — |
| 373 | C2×C4 | — | 158 | 2 | no | — |
| 374 | C2×C4 | — | 158 | 2 | no | — |
| 375 | C2×C4 | C2×D4×D79 | 1 | 1 | yes | characteristic |
| 376 | C2×C4 | C22×C22⋊D79 | 1 | 1 | yes | characteristic |
| 377 | C2×C4 | C2×Q8×D79 | 1 | 1 | yes | characteristic |
| 378 | C2×C4 | C22×Dic158 | 1 | 1 | yes | characteristic |
| 379 | C2×C4 | C2×#11929624 | 1 | 1 | yes | characteristic |
| 380 | C2×C4 | #14579209 | 1 | 1 | yes | characteristic |
| 381 | C8 | — | 2 | 2 | no | — |
| 382 | C8 | — | 316 | 2 | no | — |
| 383 | C8 | — | 158 | 2 | no | — |
| 384 | C8 | — | 158 | 2 | no | — |
| 385 | C8 | #14579140 | 1 | 2 | yes | — |
| 386 | C8 | #14579140 | 1 | 2 | yes | — |
| 387 | C22 | — | 2 | 2 | no | — |
| 388 | C22 | — | 2 | 2 | no | — |
| 389 | C22 | — | 4 | 2 | no | — |
| 390 | C22 | #19099194 | 1 | 1 | yes | characteristic |
| 391 | C22 | D4×C22⋊D79 | 1 | 1 | yes | characteristic |
| 392 | C22 | #19099268 | 1 | 1 | yes | characteristic |
| 393 | C4 | — | 2 | 2 | no | — |
| 394 | C4 | — | 4 | 2 | no | — |
| 395 | C4 | — | 4 | 2 | no | — |
| 396 | C4 | — | 8 | 2 | no | — |
| 397 | C4 | — | 316 | 2 | no | — |
| 398 | C4 | — | 316 | 2 | no | — |
| 399 | C4 | — | 632 | 2 | no | — |
| 400 | C4 | C2×#14579140 | 1 | 1 | yes | characteristic |
| 401 | C4 | C2×#14579160 | 1 | 1 | yes | characteristic |
| 402 | C4 | #19099214 | 1 | 1 | yes | characteristic |
| 403 | C4 | Q8×C22⋊D79 | 1 | 1 | yes | characteristic |
| 404 | C2 | — | 2 | 1 | no | — |
| 405 | C2 | — | 2 | 1 | no | — |
| 406 | C2 | — | 4 | 2 | no | — |
| 407 | C2 | #23767096 | 1 | 1 | yes | characteristic |
| 408 | C2 | #23775180 | 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