← #35157932
Subgroups — #35157932
Order 20224.
1890 conjugacy classes of subgroups.
The subgroup lattice has 370 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #533×D79 | C2 | 1 | 2 | yes | maximal |
| 2 | #23773951 | C2 | 1 | 8 | yes | maximal, complemented |
| 3 | #23773945 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #23773924 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #23773922 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #23773912 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #23771988 | C2 | 1 | 4 | yes | maximal |
| 8 | C2×#19098515 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | C79×#3162 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C22×#11929607 | C22 | 1 | 2 | yes | — |
| 11 | #19099120 | C22 | 1 | 2 | yes | — |
| 12 | #19099119 | C22 | 1 | 4 | yes | — |
| 13 | #19099118 | C22 | 1 | 4 | yes | — |
| 14 | #19099117 | — | 2 | 4 | no | — |
| 15 | #19099116 | C22 | 1 | 4 | yes | — |
| 16 | #19099115 | — | 2 | 4 | no | — |
| 17 | C4⋊Q8×D79 | C22 | 1 | 4 | yes | — |
| 18 | #125×D79 | C22 | 1 | 4 | yes | — |
| 19 | C22⋊Q8×D79 | — | 2 | 4 | no | — |
| 20 | C4×Q8×D79 | — | 2 | 4 | no | — |
| 21 | #117×D79 | C22 | 1 | 4 | yes | — |
| 22 | C2×C42×D79 | C22 | 1 | 1 | yes | characteristic |
| 23 | #19098973 | C22 | 1 | 8 | yes | complemented |
| 24 | #19098972 | C22 | 1 | 8 | yes | complemented |
| 25 | #19098969 | C22 | 1 | 8 | yes | complemented |
| 26 | #19098967 | C22 | 1 | 8 | yes | complemented |
| 27 | #19098964 | C22 | 1 | 8 | yes | complemented |
| 28 | #19098963 | C22 | 1 | 8 | yes | complemented |
| 29 | #19098960 | C22 | 1 | 8 | yes | complemented |
| 30 | #19098604 | C22 | 1 | 16 | yes | — |
| 31 | #19098602 | C22 | 1 | 16 | yes | — |
| 32 | #19098601 | C22 | 1 | 4 | yes | — |
| 33 | #19098599 | C22 | 1 | 8 | yes | — |
| 34 | #19098515 | C22 | 1 | 4 | yes | — |
| 35 | #19098515 | C22 | 1 | 4 | yes | — |
| 36 | C2×#14579072 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×C8×Dic79 | C22 | 1 | 2 | yes | — |
| 38 | #533×C79 | C22 | 1 | 2 | yes | — |
| 39 | #501×C79 | C22 | 1 | 8 | yes | complemented |
| 40 | #427×C79 | C22 | 1 | 4 | yes | — |
| 41 | C2×#97×C79 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×Q8×D79 | — | 2 | 4 | no | — |
| 43 | C22×C4×D79 | D4 | 1 | 2 | yes | — |
| 44 | C22×C4×D79 | C23 | 1 | 1 | yes | characteristic |
| 45 | C2×#11929607 | Q8 | 1 | 16 | yes | complemented |
| 46 | C2×#11929607 | C23 | 1 | 8 | yes | — |
| 47 | C22×C79⋊C8 | C23 | 1 | 2 | yes | — |
| 48 | #14579161 | C23 | 1 | 4 | yes | — |
| 49 | #14579160 | — | 2 | 4 | no | — |
| 50 | #14579160 | C23 | 1 | 8 | yes | — |
| 51 | #14579159 | — | 2 | 4 | no | — |
| 52 | #14579153 | C23 | 1 | 4 | yes | — |
| 53 | #14579152 | C23 | 1 | 8 | yes | — |
| 54 | #14579151 | — | 2 | 8 | no | — |
| 55 | #14579141 | — | 2 | 4 | no | — |
| 56 | #14579140 | — | 2 | 4 | no | — |
| 57 | #14579139 | — | 2 | 8 | no | — |
| 58 | #14579138 | — | 2 | 8 | no | — |
| 59 | #14579137 | — | 2 | 4 | no | — |
| 60 | Q8×Dic79 | — | 2 | 4 | no | — |
| 61 | C4×Dic158 | — | 2 | 4 | no | — |
| 62 | C4×Dic158 | — | 2 | 8 | no | — |
| 63 | #14579126 | — | 2 | 4 | no | — |
| 64 | #14579126 | — | 2 | 8 | no | — |
| 65 | #14579120 | C23 | 1 | 4 | yes | — |
| 66 | #14579119 | C23 | 1 | 8 | yes | — |
| 67 | #14579118 | — | 2 | 4 | no | — |
| 68 | #14579117 | — | 2 | 4 | no | — |
| 69 | C4⋊C4×D79 | — | 2 | 8 | no | — |
| 70 | C4⋊C4×D79 | — | 2 | 4 | no | — |
| 71 | C4⋊C4×D79 | C23 | 1 | 8 | yes | — |
| 72 | C22⋊C4×D79 | — | 2 | 4 | no | — |
| 73 | C2×C4×Dic79 | D4 | 1 | 2 | yes | — |
| 74 | C2×C4×Dic79 | C23 | 1 | 1 | yes | characteristic |
| 75 | C42×D79 | — | 2 | 4 | no | — |
| 76 | C42×D79 | D4 | 1 | 4 | yes | — |
| 77 | C42×D79 | C23 | 1 | 2 | yes | — |
| 78 | C42×D79 | C23 | 1 | 2 | yes | — |
| 79 | #14579095 | C23 | 1 | 8 | yes | — |
| 80 | #14579094 | C23 | 1 | 16 | yes | — |
| 81 | #14579093 | C23 | 1 | 8 | yes | — |
| 82 | #14579092 | C23 | 1 | 16 | yes | — |
| 83 | #14579072 | C23 | 1 | 4 | yes | — |
| 84 | C8×Dic79 | C23 | 1 | 4 | yes | — |
| 85 | C8×Dic79 | C23 | 1 | 4 | yes | — |
| 86 | C22×C8×C79 | C23 | 1 | 2 | yes | — |
| 87 | C4⋊Q8×C79 | C23 | 1 | 4 | yes | — |
| 88 | #125×C79 | C23 | 1 | 4 | yes | — |
| 89 | C22⋊Q8×C79 | — | 2 | 4 | no | — |
| 90 | C4×Q8×C79 | — | 2 | 4 | no | — |
| 91 | #117×C79 | C23 | 1 | 4 | yes | — |
| 92 | C2×C42×C79 | C23 | 1 | 1 | yes | characteristic |
| 93 | #107×C79 | C23 | 1 | 8 | yes | — |
| 94 | #106×C79 | C23 | 1 | 8 | yes | — |
| 95 | #97×C79 | C23 | 1 | 4 | yes | — |
| 96 | C23×D79 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C2×Dic158 | — | 2 | 8 | no | — |
| 98 | C2×Dic158 | — | 2 | 4 | no | — |
| 99 | Q8×D79 | — | 4 | 16 | no | — |
| 100 | C22×Dic79 | C2×D4 | 1 | 2 | yes | — |
| 101 | C22×Dic79 | C2×D4 | 1 | 1 | yes | characteristic |
| 102 | C2×C4×D79 | — | 2 | 8 | no | — |
| 103 | C2×C4×D79 | — | 4 | 4 | no | — |
| 104 | C2×C4×D79 | C2×D4 | 1 | 4 | yes | — |
| 105 | C2×C4×D79 | C2×D4 | 1 | 4 | yes | — |
| 106 | C2×C4×D79 | C2×D4 | 1 | 2 | yes | — |
| 107 | C2×C4×D79 | C2×Q8 | 1 | 8 | yes | — |
| 108 | C2×C4×D79 | C24 | 1 | 2 | yes | — |
| 109 | #11929607 | C2×Q8 | 1 | 32 | yes | complemented |
| 110 | C2×C79⋊C8 | C2×Q8 | 1 | 8 | yes | complemented |
| 111 | C2×C79⋊C8 | C24 | 1 | 4 | yes | — |
| 112 | C4⋊Dic79 | — | 2 | 8 | no | — |
| 113 | C4⋊Dic79 | — | 2 | 4 | no | — |
| 114 | C4⋊Dic79 | C24 | 1 | 8 | yes | — |
| 115 | Dic79⋊C4 | — | 2 | 8 | no | — |
| 116 | Dic79⋊C4 | — | 2 | 8 | no | — |
| 117 | Dic79⋊C4 | — | 2 | 8 | no | — |
| 118 | Dic79⋊C4 | — | 2 | 8 | no | — |
| 119 | C22⋊Dic79 | — | 2 | 4 | no | — |
| 120 | (C2×D79)⋊C4 | — | 2 | 8 | no | — |
| 121 | C4×Dic79 | — | 2 | 8 | no | — |
| 122 | C4×Dic79 | — | 2 | 4 | no | — |
| 123 | C4×Dic79 | C2×D4 | 1 | 2 | yes | — |
| 124 | C4×Dic79 | C2×D4 | 1 | 4 | yes | — |
| 125 | C4×Dic79 | C2×D4 | 1 | 4 | yes | — |
| 126 | C4×Dic79 | C24 | 1 | 1 | yes | characteristic |
| 127 | C4×Dic79 | C24 | 1 | 1 | yes | characteristic |
| 128 | C2×Q8×C79 | — | 2 | 4 | no | — |
| 129 | C22×C4×C79 | C2×D4 | 1 | 2 | yes | — |
| 130 | C22×C4×C79 | C24 | 1 | 1 | yes | characteristic |
| 131 | C2×C8×C79 | C2×Q8 | 1 | 8 | yes | complemented |
| 132 | C2×C8×C79 | C24 | 1 | 4 | yes | — |
| 133 | C4⋊C4×C79 | — | 2 | 8 | no | — |
| 134 | C4⋊C4×C79 | — | 2 | 4 | no | — |
| 135 | C4⋊C4×C79 | C24 | 1 | 8 | yes | — |
| 136 | C22⋊C4×C79 | — | 2 | 4 | no | — |
| 137 | C42×C79 | — | 2 | 4 | no | — |
| 138 | C42×C79 | C2×D4 | 1 | 2 | yes | — |
| 139 | C42×C79 | C24 | 1 | 2 | yes | — |
| 140 | C23×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 141 | C22×D79 | — | 4 | 2 | no | — |
| 142 | C22×D79 | C4⋊Q8 | 1 | 4 | yes | — |
| 143 | C22×D79 | C22×D4 | 1 | 2 | yes | — |
| 144 | Q8×C79 | — | 4 | 8 | no | — |
| 145 | C2×C4×C79 | — | 2 | 8 | no | — |
| 146 | C2×C4×C79 | — | 4 | 2 | no | — |
| 147 | C2×C4×C79 | C22×D4 | 1 | 4 | yes | — |
| 148 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 149 | C2×C4×C79 | C22×Q8 | 1 | 4 | yes | — |
| 150 | C2×C4×C79 | C25 | 1 | 1 | yes | characteristic |
| 151 | C2×Dic79 | — | 2 | 4 | no | — |
| 152 | C2×Dic79 | — | 2 | 8 | no | — |
| 153 | C2×Dic79 | C4⋊Q8 | 1 | 4 | yes | — |
| 154 | C2×Dic79 | C22×D4 | 1 | 2 | yes | — |
| 155 | C2×Dic79 | C22×D4 | 1 | 2 | yes | — |
| 156 | C2×Dic79 | C22×D4 | 1 | 2 | yes | — |
| 157 | C4×D79 | — | 2 | 8 | no | — |
| 158 | C4×D79 | — | 4 | 4 | no | — |
| 159 | C4×D79 | — | 4 | 16 | no | — |
| 160 | C4×D79 | C4⋊Q8 | 1 | 8 | yes | — |
| 161 | C4×D79 | C22×Q8 | 1 | 8 | yes | — |
| 162 | Dic158 | — | 4 | 8 | no | — |
| 163 | Dic158 | — | 4 | 16 | no | — |
| 164 | C8×C79 | C22×Q8 | 1 | 8 | yes | — |
| 165 | C79⋊C8 | C22×Q8 | 1 | 8 | yes | — |
| 166 | C22×C79 | — | 2 | 2 | no | — |
| 167 | C22×C79 | C2×C4⋊Q8 | 1 | 2 | yes | — |
| 168 | C22×C79 | C23×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×D79 | — | 2 | 4 | no | — |
| 170 | C2×D79 | — | 4 | 4 | no | — |
| 171 | C2×D79 | C2×C4⋊Q8 | 1 | 4 | yes | — |
| 172 | C4×C79 | — | 2 | 4 | no | — |
| 173 | C4×C79 | — | 4 | 8 | no | — |
| 174 | C4×C79 | C2×C4⋊Q8 | 1 | 2 | yes | — |
| 175 | C4×C79 | C23×Q8 | 1 | 2 | yes | — |
| 176 | Dic79 | — | 2 | 2 | no | — |
| 177 | Dic79 | — | 4 | 8 | no | — |
| 178 | Dic79 | C2×C4⋊Q8 | 1 | 4 | yes | — |
| 179 | Dic79 | #575 | 1 | 4 | yes | — |
| 180 | #60663 | — | 79 | 1 | no | maximal, Sylow |
| 181 | C2×C79 | — | 2 | 2 | no | — |
| 182 | C2×C79 | C22×C4⋊Q8 | 1 | 1 | yes | characteristic |
| 183 | C2×C79 | C2×#575 | 1 | 2 | yes | — |
| 184 | D79 | — | 2 | 4 | no | — |
| 185 | C2×#533 | — | 79 | 2 | no | — |
| 186 | #3166 | — | 79 | 8 | no | — |
| 187 | #3165 | — | 79 | 8 | no | — |
| 188 | #3162 | — | 79 | 1 | no | — |
| 189 | #3162 | — | 79 | 2 | no | — |
| 190 | #3162 | D79 | 1 | 1 | yes | characteristic, complemented |
| 191 | #3160 | — | 79 | 4 | no | — |
| 192 | #2911 | — | 79 | 4 | no | — |
| 193 | C2×C4×M16 | — | 79 | 1 | no | — |
| 194 | C79 | #60663 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 195 | C22×M16 | — | 79 | 2 | no | — |
| 196 | #533 | — | 79 | 4 | no | — |
| 197 | #533 | — | 79 | 4 | no | — |
| 198 | #533 | — | 79 | 4 | no | — |
| 199 | #533 | — | 79 | 2 | no | — |
| 200 | #533 | — | 158 | 4 | no | — |
| 201 | #533 | — | 158 | 4 | no | — |
| 202 | #533 | C2×D79 | 1 | 2 | yes | — |
| 203 | C2×C4⋊Q8 | — | 79 | 4 | no | — |
| 204 | C2×#125 | — | 79 | 4 | no | — |
| 205 | C2×C22⋊Q8 | — | 158 | 4 | no | — |
| 206 | C2×C4×Q8 | — | 158 | 4 | no | — |
| 207 | C2×#117 | — | 79 | 4 | no | — |
| 208 | C22×C42 | — | 79 | 1 | no | — |
| 209 | #501 | — | 79 | 8 | no | — |
| 210 | #501 | — | 79 | 8 | no | — |
| 211 | #501 | — | 79 | 8 | no | — |
| 212 | #501 | C2×D79 | 1 | 8 | yes | complemented |
| 213 | #500 | — | 79 | 8 | no | — |
| 214 | #499 | — | 79 | 8 | no | — |
| 215 | #499 | — | 79 | 8 | no | — |
| 216 | #498 | — | 79 | 8 | no | — |
| 217 | #428 | — | 79 | 16 | no | — |
| 218 | #428 | — | 79 | 16 | no | — |
| 219 | #427 | — | 79 | 4 | no | — |
| 220 | #427 | — | 79 | 8 | no | — |
| 221 | #427 | C2×D79 | 1 | 4 | yes | — |
| 222 | C4×M16 | — | 79 | 4 | no | — |
| 223 | C4×M16 | — | 79 | 4 | no | — |
| 224 | C2×#97 | — | 79 | 1 | no | — |
| 225 | C2×#97 | C2×D79 | 1 | 1 | yes | characteristic |
| 226 | C2×C4×C8 | — | 79 | 2 | no | — |
| 227 | C22×Q8 | — | 158 | 4 | no | — |
| 228 | C23×C4 | — | 79 | 2 | no | — |
| 229 | C23×C4 | — | 79 | 1 | no | — |
| 230 | C2×M16 | — | 79 | 16 | no | — |
| 231 | C2×M16 | — | 79 | 8 | no | — |
| 232 | C22×C8 | — | 79 | 2 | no | — |
| 233 | C22×C8 | C22×D79 | 1 | 2 | yes | — |
| 234 | C4⋊Q8 | — | 79 | 8 | no | — |
| 235 | C4⋊Q8 | — | 79 | 4 | no | — |
| 236 | C4⋊Q8 | — | 158 | 4 | no | — |
| 237 | C4⋊Q8 | — | 158 | 4 | no | — |
| 238 | C4⋊Q8 | C22×D79 | 1 | 4 | yes | — |
| 239 | #125 | — | 79 | 8 | no | — |
| 240 | #125 | — | 79 | 4 | no | — |
| 241 | #125 | — | 158 | 8 | no | — |
| 242 | #125 | C22×D79 | 1 | 4 | yes | — |
| 243 | C22⋊Q8 | — | 2 | 4 | no | — |
| 244 | C22⋊Q8 | — | 158 | 8 | no | — |
| 245 | C22⋊Q8 | — | 158 | 8 | no | — |
| 246 | C22⋊Q8 | — | 158 | 4 | no | — |
| 247 | C22⋊Q8 | — | 158 | 4 | no | — |
| 248 | C22⋊Q8 | — | 158 | 4 | no | — |
| 249 | C4×Q8 | — | 2 | 4 | no | — |
| 250 | C4×Q8 | — | 158 | 8 | no | — |
| 251 | C4×Q8 | — | 158 | 4 | no | — |
| 252 | C4×Q8 | — | 158 | 8 | no | — |
| 253 | C4×Q8 | — | 158 | 4 | no | — |
| 254 | C4×Q8 | — | 158 | 4 | no | — |
| 255 | #117 | — | 79 | 4 | no | — |
| 256 | #117 | — | 79 | 8 | no | — |
| 257 | #117 | — | 158 | 4 | no | — |
| 258 | #117 | — | 158 | 4 | no | — |
| 259 | #117 | C22×D79 | 1 | 4 | yes | — |
| 260 | C2×C4⋊C4 | — | 79 | 8 | no | — |
| 261 | C2×C4⋊C4 | — | 158 | 8 | no | — |
| 262 | C2×C4⋊C4 | — | 158 | 4 | no | — |
| 263 | C2×C22⋊C4 | — | 158 | 4 | no | — |
| 264 | C2×C42 | — | 79 | 2 | no | — |
| 265 | C2×C42 | — | 79 | 1 | no | — |
| 266 | C2×C42 | — | 79 | 4 | no | — |
| 267 | C2×C42 | — | 79 | 2 | no | — |
| 268 | C2×C42 | — | 79 | 2 | no | — |
| 269 | C2×C42 | — | 158 | 4 | no | — |
| 270 | C2×C42 | C22×D79 | 1 | 1 | yes | characteristic |
| 271 | #107 | — | 79 | 8 | no | — |
| 272 | #107 | — | 79 | 16 | no | — |
| 273 | #107 | C22×D79 | 1 | 8 | yes | — |
| 274 | #106 | — | 79 | 8 | no | — |
| 275 | #106 | — | 79 | 16 | no | — |
| 276 | #106 | C22×D79 | 1 | 8 | yes | — |
| 277 | #97 | — | 79 | 4 | no | — |
| 278 | #97 | C22×D79 | 1 | 4 | yes | — |
| 279 | C4×C8 | — | 79 | 4 | no | — |
| 280 | C4×C8 | — | 79 | 4 | no | — |
| 281 | C24 | — | 79 | 1 | no | — |
| 282 | C2×Q8 | — | 2 | 4 | no | — |
| 283 | C2×Q8 | — | 316 | 16 | no | — |
| 284 | C2×Q8 | — | 158 | 8 | no | — |
| 285 | C2×Q8 | — | 158 | 4 | no | — |
| 286 | C22×C4 | — | 316 | 4 | no | — |
| 287 | C22×C4 | — | 79 | 4 | no | — |
| 288 | C22×C4 | — | 79 | 1 | no | — |
| 289 | C22×C4 | — | 79 | 8 | no | — |
| 290 | C22×C4 | — | 79 | 2 | no | — |
| 291 | C22×C4 | — | 79 | 2 | no | — |
| 292 | C22×C4 | — | 79 | 2 | no | — |
| 293 | C22×C4 | — | 79 | 4 | no | — |
| 294 | C22×C4 | — | 158 | 8 | no | — |
| 295 | C22×C4 | D4×D79 | 1 | 2 | yes | — |
| 296 | C22×C4 | C23×D79 | 1 | 1 | yes | characteristic |
| 297 | M16 | — | 79 | 32 | no | — |
| 298 | C2×C8 | — | 79 | 8 | no | — |
| 299 | C2×C8 | — | 79 | 4 | no | — |
| 300 | C2×C8 | Q8×D79 | 1 | 8 | yes | complemented |
| 301 | C2×C8 | C23×D79 | 1 | 4 | yes | — |
| 302 | C4⋊C4 | — | 2 | 8 | no | — |
| 303 | C4⋊C4 | — | 2 | 4 | no | — |
| 304 | C4⋊C4 | — | 79 | 8 | no | — |
| 305 | C4⋊C4 | — | 158 | 8 | no | — |
| 306 | C4⋊C4 | — | 158 | 8 | no | — |
| 307 | C4⋊C4 | — | 158 | 8 | no | — |
| 308 | C4⋊C4 | — | 158 | 8 | no | — |
| 309 | C4⋊C4 | — | 158 | 8 | no | — |
| 310 | C4⋊C4 | — | 158 | 4 | no | — |
| 311 | C4⋊C4 | C23×D79 | 1 | 8 | yes | — |
| 312 | C22⋊C4 | — | 2 | 4 | no | — |
| 313 | C22⋊C4 | — | 158 | 8 | no | — |
| 314 | C22⋊C4 | — | 158 | 4 | no | — |
| 315 | C42 | — | 2 | 4 | no | — |
| 316 | C42 | — | 79 | 1 | no | — |
| 317 | C42 | — | 79 | 1 | no | — |
| 318 | C42 | — | 79 | 4 | no | — |
| 319 | C42 | — | 79 | 4 | no | — |
| 320 | C42 | — | 79 | 2 | no | — |
| 321 | C42 | — | 158 | 8 | no | — |
| 322 | C42 | — | 158 | 4 | no | — |
| 323 | C42 | D4×D79 | 1 | 2 | yes | — |
| 324 | C42 | C23×D79 | 1 | 2 | yes | — |
| 325 | C23 | — | 316 | 2 | no | — |
| 326 | C23 | — | 79 | 4 | no | — |
| 327 | C23 | — | 79 | 2 | no | — |
| 328 | C23 | C2×D4×D79 | 1 | 1 | yes | characteristic |
| 329 | Q8 | — | 4 | 8 | no | — |
| 330 | Q8 | — | 316 | 8 | no | — |
| 331 | Q8 | — | 316 | 16 | no | — |
| 332 | C2×C4 | — | 2 | 8 | no | — |
| 333 | C2×C4 | — | 4 | 2 | no | — |
| 334 | C2×C4 | — | 316 | 4 | no | — |
| 335 | C2×C4 | — | 316 | 16 | no | — |
| 336 | C2×C4 | — | 79 | 4 | no | — |
| 337 | C2×C4 | — | 79 | 2 | no | — |
| 338 | C2×C4 | — | 79 | 2 | no | — |
| 339 | C2×C4 | — | 79 | 8 | no | — |
| 340 | C2×C4 | — | 79 | 8 | no | — |
| 341 | C2×C4 | — | 79 | 2 | no | — |
| 342 | C2×C4 | — | 158 | 8 | no | — |
| 343 | C2×C4 | — | 158 | 8 | no | — |
| 344 | C2×C4 | — | 158 | 4 | no | — |
| 345 | C2×C4 | C2×D4×D79 | 1 | 4 | yes | — |
| 346 | C2×C4 | C2×D4×D79 | 1 | 1 | yes | characteristic |
| 347 | C2×C4 | C2×Q8×D79 | 1 | 4 | yes | — |
| 348 | C2×C4 | C24×D79 | 1 | 1 | yes | characteristic |
| 349 | C8 | — | 79 | 8 | no | — |
| 350 | C8 | C2×Q8×D79 | 1 | 8 | yes | — |
| 351 | C22 | — | 2 | 2 | no | — |
| 352 | C22 | — | 316 | 4 | no | — |
| 353 | C22 | — | 79 | 4 | no | — |
| 354 | C22 | — | 158 | 4 | no | — |
| 355 | C22 | C4⋊Q8×D79 | 1 | 2 | yes | — |
| 356 | C22 | C22×D4×D79 | 1 | 1 | yes | characteristic |
| 357 | C4 | — | 2 | 4 | no | — |
| 358 | C4 | — | 4 | 8 | no | — |
| 359 | C4 | — | 316 | 8 | no | — |
| 360 | C4 | — | 79 | 4 | no | — |
| 361 | C4 | — | 79 | 4 | no | — |
| 362 | C4 | — | 158 | 2 | no | — |
| 363 | C4 | C4⋊Q8×D79 | 1 | 2 | yes | — |
| 364 | C4 | C22×Q8×D79 | 1 | 2 | yes | — |
| 365 | C2 | — | 2 | 2 | no | — |
| 366 | C2 | — | 158 | 4 | no | — |
| 367 | C2 | C2×C4⋊Q8×D79 | 1 | 1 | yes | characteristic |
| 368 | C2 | #575×D79 | 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