← #12130180
Subgroups — #12130180
Order 1280.
616 conjugacy classes of subgroups.
The subgroup lattice has 362 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C5×#2955 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10610273 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10602910 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10602908 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #10602804 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10602801 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10601521 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10601519 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10601197 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10601187 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10600688 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C5×#575 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C5×#131 | C22 | 1 | 2 | yes | — |
| 14 | #65851 | C22 | 1 | 1 | yes | characteristic |
| 15 | C5×#444 | — | 2 | 2 | no | — |
| 16 | C5×#443 | — | 2 | 2 | no | — |
| 17 | C5×#430 | C22 | 1 | 1 | yes | characteristic |
| 18 | C5×#421 | C22 | 1 | 2 | yes | — |
| 19 | C5×#405 | C22 | 1 | 1 | yes | characteristic |
| 20 | #65529 | C22 | 1 | 2 | yes | — |
| 21 | #65526 | C22 | 1 | 2 | yes | — |
| 22 | C2×#3969 | C22 | 1 | 2 | yes | — |
| 23 | #65522 | C22 | 1 | 2 | yes | — |
| 24 | #65408 | C22 | 1 | 1 | yes | characteristic |
| 25 | #65407 | C22 | 1 | 1 | yes | characteristic |
| 26 | #65390 | C22 | 1 | 2 | yes | — |
| 27 | #65390 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×C8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 29 | #65288 | C22 | 1 | 1 | yes | characteristic |
| 30 | #64990 | — | 2 | 2 | no | — |
| 31 | C8×Dic10 | — | 2 | 2 | no | — |
| 32 | #64780 | C22 | 1 | 1 | yes | characteristic |
| 33 | #64778 | C22 | 1 | 2 | yes | — |
| 34 | #64777 | C22 | 1 | 1 | yes | characteristic |
| 35 | #64776 | C22 | 1 | 2 | yes | — |
| 36 | #64776 | C22 | 1 | 2 | yes | — |
| 37 | #64775 | C22 | 1 | 2 | yes | — |
| 38 | #64751 | C22 | 1 | 2 | yes | — |
| 39 | #23833 | — | 5 | 1 | no | maximal, Sylow |
| 40 | C2×C5×#41 | C23 | 1 | 2 | yes | — |
| 41 | C5×#137 | — | 2 | 2 | no | — |
| 42 | C5×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 43 | C5×#135 | — | 2 | 2 | no | — |
| 44 | C5×#131 | — | 2 | 2 | no | — |
| 45 | C5×#131 | — | 2 | 2 | no | — |
| 46 | C5×#131 | — | 2 | 2 | no | — |
| 47 | C5×#131 | — | 2 | 2 | no | — |
| 48 | C2×C5×M16 | — | 2 | 2 | no | — |
| 49 | C2×C5×M16 | C23 | 1 | 2 | yes | — |
| 50 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 51 | C22×C5×C8 | — | 2 | 2 | no | — |
| 52 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 53 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 54 | #4072 | C23 | 1 | 2 | yes | — |
| 55 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 56 | C2×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 58 | C2×#681 | C23 | 1 | 2 | yes | — |
| 59 | C22×#168 | C23 | 1 | 1 | yes | characteristic |
| 60 | #4036 | — | 2 | 1 | no | — |
| 61 | #4034 | — | 2 | 1 | no | — |
| 62 | #4024 | — | 2 | 2 | no | — |
| 63 | C4×Dic10 | — | 2 | 2 | no | — |
| 64 | C5×#108 | — | 2 | 2 | no | — |
| 65 | C5×#104 | — | 2 | 4 | no | — |
| 66 | C5×#97 | D4 | 1 | 2 | yes | — |
| 67 | C4×C5×C8 | D4 | 1 | 2 | yes | — |
| 68 | #3969 | — | 2 | 2 | no | — |
| 69 | #3969 | — | 2 | 2 | no | — |
| 70 | #3968 | — | 2 | 2 | no | — |
| 71 | #3967 | — | 2 | 2 | no | — |
| 72 | #3966 | — | 2 | 4 | no | — |
| 73 | #3965 | — | 2 | 2 | no | — |
| 74 | #3964 | — | 2 | 2 | no | — |
| 75 | #3947 | — | 2 | 1 | no | — |
| 76 | #3947 | — | 2 | 2 | no | — |
| 77 | #3946 | — | 2 | 2 | no | — |
| 78 | #3946 | — | 2 | 2 | no | — |
| 79 | C8×Dic5 | — | 2 | 1 | no | — |
| 80 | C8×Dic5 | — | 2 | 1 | no | — |
| 81 | C8×Dic5 | — | 2 | 1 | no | — |
| 82 | C8×Dic5 | — | 2 | 2 | no | — |
| 83 | C4⋊#168 | — | 2 | 2 | no | — |
| 84 | #2960 | — | 5 | 1 | no | — |
| 85 | #2955 | D5 | 1 | 1 | yes | characteristic |
| 86 | #2103 | — | 5 | 1 | no | — |
| 87 | #2102 | — | 5 | 1 | no | — |
| 88 | #2080 | — | 5 | 2 | no | — |
| 89 | #2053 | — | 5 | 1 | no | — |
| 90 | #2050 | — | 5 | 1 | no | — |
| 91 | #2031 | — | 5 | 2 | no | — |
| 92 | #1764 | — | 5 | 2 | no | — |
| 93 | #1757 | — | 5 | 2 | no | — |
| 94 | #1747 | — | 5 | 1 | no | — |
| 95 | C5×#41 | — | 2 | 2 | no | — |
| 96 | C5×#41 | — | 2 | 2 | no | — |
| 97 | C5×#41 | — | 2 | 2 | no | — |
| 98 | C5×#41 | — | 2 | 2 | no | — |
| 99 | C2×C5×Q8 | #41 | 1 | 2 | yes | — |
| 100 | C2×C5×D4 | — | 2 | 2 | no | — |
| 101 | C2×C5×D4 | #41 | 1 | 2 | yes | — |
| 102 | C22×C4×C5 | — | 2 | 2 | no | — |
| 103 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 104 | C22×Dic5 | — | 2 | 1 | no | — |
| 105 | C2×Dic10 | — | 2 | 2 | no | — |
| 106 | C5×Q16 | — | 2 | 2 | no | — |
| 107 | C5×SD16 | — | 2 | 4 | no | — |
| 108 | C5×D8 | — | 2 | 2 | no | — |
| 109 | C5×M16 | — | 2 | 2 | no | — |
| 110 | C5×M16 | — | 2 | 2 | no | — |
| 111 | C5×M16 | — | 2 | 2 | no | — |
| 112 | C5×M16 | — | 4 | 2 | no | — |
| 113 | C5×M16 | — | 4 | 2 | no | — |
| 114 | C2×C5×C8 | — | 2 | 2 | no | — |
| 115 | C2×C5×C8 | — | 4 | 2 | no | — |
| 116 | C2×C5×C8 | — | 4 | 2 | no | — |
| 117 | C2×C5×C8 | C2×D4 | 1 | 2 | yes | — |
| 118 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C2×C5×C8 | #41 | 1 | 2 | yes | — |
| 121 | C2×C5×C8 | #41 | 1 | 2 | yes | — |
| 122 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 123 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 124 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 125 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 126 | C22⋊Dic5 | #41 | 1 | 2 | yes | — |
| 127 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 128 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 129 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 130 | #683 | — | 2 | 2 | no | — |
| 131 | #683 | — | 2 | 2 | no | — |
| 132 | C4×Dic5 | — | 2 | 1 | no | — |
| 133 | C4×Dic5 | — | 2 | 1 | no | — |
| 134 | C4×Dic5 | — | 2 | 2 | no | — |
| 135 | C4×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 136 | C4×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 137 | #681 | — | 2 | 2 | no | — |
| 138 | #681 | — | 2 | 2 | no | — |
| 139 | #681 | — | 2 | 2 | no | — |
| 140 | C2×#168 | — | 2 | 1 | no | — |
| 141 | C2×#168 | — | 2 | 1 | no | — |
| 142 | C2×#168 | — | 2 | 2 | no | — |
| 143 | C2×#168 | — | 2 | 2 | no | — |
| 144 | #575 | C2×D5 | 1 | 1 | yes | characteristic |
| 145 | C2×#131 | C2×D5 | 1 | 2 | yes | — |
| 146 | #533 | — | 5 | 1 | no | — |
| 147 | #446 | — | 10 | 2 | no | — |
| 148 | C8×Q8 | — | 10 | 2 | no | — |
| 149 | #444 | — | 2 | 2 | no | — |
| 150 | #443 | — | 2 | 2 | no | — |
| 151 | #430 | C2×D5 | 1 | 1 | yes | characteristic |
| 152 | #424 | — | 5 | 1 | no | — |
| 153 | #424 | — | 5 | 1 | no | — |
| 154 | #423 | — | 5 | 1 | no | — |
| 155 | #421 | C2×D5 | 1 | 2 | yes | — |
| 156 | C2×#104 | — | 5 | 2 | no | — |
| 157 | #416 | — | 5 | 2 | no | — |
| 158 | #413 | — | 5 | 2 | no | — |
| 159 | #410 | — | 5 | 2 | no | — |
| 160 | #405 | — | 5 | 1 | no | — |
| 161 | #405 | — | 5 | 2 | no | — |
| 162 | #405 | C2×D5 | 1 | 1 | yes | characteristic |
| 163 | C2×C4×C8 | — | 5 | 1 | no | — |
| 164 | #344 | — | 5 | 2 | no | — |
| 165 | #344 | — | 5 | 2 | no | — |
| 166 | #341 | — | 5 | 2 | no | — |
| 167 | #339 | — | 5 | 2 | no | — |
| 168 | #338 | — | 5 | 1 | no | — |
| 169 | H(3,ℤ/4) | — | 5 | 1 | no | — |
| 170 | H(3,ℤ/4) | — | 5 | 2 | no | — |
| 171 | C23×C5 | — | 2 | 2 | no | — |
| 172 | C23×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 173 | C5×Q8 | — | 2 | 2 | no | — |
| 174 | C5×Q8 | — | 2 | 2 | no | — |
| 175 | C5×D4 | — | 2 | 2 | no | — |
| 176 | C5×D4 | — | 2 | 2 | no | — |
| 177 | C5×D4 | — | 4 | 2 | no | — |
| 178 | C5×D4 | — | 4 | 2 | no | — |
| 179 | C2×C4×C5 | — | 2 | 2 | no | — |
| 180 | C2×C4×C5 | — | 2 | 2 | no | — |
| 181 | C2×C4×C5 | — | 4 | 2 | no | — |
| 182 | C2×C4×C5 | — | 4 | 2 | no | — |
| 183 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C4×C5 | C2×#41 | 1 | 2 | yes | — |
| 185 | C2×C4×C5 | C2×#41 | 1 | 2 | yes | — |
| 186 | C2×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 187 | C2×Dic5 | — | 2 | 1 | no | — |
| 188 | C2×Dic5 | — | 2 | 1 | no | — |
| 189 | C2×Dic5 | — | 2 | 2 | no | — |
| 190 | C2×Dic5 | — | 4 | 2 | no | — |
| 191 | C2×Dic5 | — | 4 | 2 | no | — |
| 192 | Dic10 | — | 4 | 4 | no | — |
| 193 | C5×C8 | — | 2 | 2 | no | — |
| 194 | C5×C8 | — | 4 | 2 | no | — |
| 195 | C5×C8 | #124 | 1 | 2 | yes | — |
| 196 | C5×C8 | #124 | 1 | 1 | yes | characteristic |
| 197 | C5×C8 | #124 | 1 | 1 | yes | characteristic |
| 198 | #168 | — | 4 | 1 | no | — |
| 199 | #168 | — | 4 | 1 | no | — |
| 200 | #168 | — | 4 | 2 | no | — |
| 201 | C2×#41 | C22×D5 | 1 | 2 | yes | — |
| 202 | #137 | — | 2 | 2 | no | — |
| 203 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 204 | #135 | — | 2 | 2 | no | — |
| 205 | #131 | — | 2 | 2 | no | — |
| 206 | #131 | — | 2 | 2 | no | — |
| 207 | #131 | — | 2 | 2 | no | — |
| 208 | #131 | — | 2 | 2 | no | — |
| 209 | C2×M16 | — | 2 | 2 | no | — |
| 210 | C2×M16 | — | 5 | 2 | no | — |
| 211 | C2×M16 | — | 5 | 1 | no | — |
| 212 | C2×M16 | C22×D5 | 1 | 2 | yes | — |
| 213 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 214 | C22×C8 | — | 2 | 2 | no | — |
| 215 | C22×C8 | — | 5 | 1 | no | — |
| 216 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 217 | C4⋊Q8 | — | 10 | 1 | no | — |
| 218 | #125 | — | 10 | 1 | no | — |
| 219 | C22⋊Q8 | — | 10 | 2 | no | — |
| 220 | C4×Q8 | — | 10 | 2 | no | — |
| 221 | #117 | — | 5 | 1 | no | — |
| 222 | #117 | — | 5 | 2 | no | — |
| 223 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 224 | C2×C42 | — | 5 | 1 | no | — |
| 225 | #108 | — | 2 | 2 | no | — |
| 226 | C4⋊C8 | — | 10 | 2 | no | — |
| 227 | C4⋊C8 | — | 10 | 2 | no | — |
| 228 | C4⋊C8 | — | 10 | 2 | no | — |
| 229 | #104 | — | 2 | 4 | no | — |
| 230 | #104 | — | 10 | 2 | no | — |
| 231 | #104 | — | 10 | 2 | no | — |
| 232 | #103 | — | 10 | 2 | no | — |
| 233 | #102 | — | 10 | 2 | no | — |
| 234 | #101 | — | 10 | 2 | no | — |
| 235 | #100 | — | 10 | 2 | no | — |
| 236 | #99 | — | 10 | 4 | no | — |
| 237 | #97 | — | 10 | 2 | no | — |
| 238 | #97 | — | 10 | 1 | no | — |
| 239 | #97 | C22⋊D5 | 1 | 2 | yes | — |
| 240 | C4×C8 | — | 10 | 2 | no | — |
| 241 | C4×C8 | — | 10 | 1 | no | — |
| 242 | C4×C8 | — | 10 | 1 | no | — |
| 243 | C4×C8 | — | 10 | 1 | no | — |
| 244 | C4×C8 | C22⋊D5 | 1 | 2 | yes | — |
| 245 | C22×C5 | — | 4 | 1 | no | — |
| 246 | C22×C5 | — | 4 | 2 | no | — |
| 247 | C22×C5 | — | 8 | 2 | no | — |
| 248 | C22×C5 | #525 | 1 | 1 | yes | characteristic |
| 249 | C22×C5 | #529 | 1 | 2 | yes | — |
| 250 | C4×C5 | — | 4 | 2 | no | — |
| 251 | C4×C5 | — | 4 | 2 | no | — |
| 252 | C4×C5 | #525 | 1 | 1 | yes | characteristic |
| 253 | C4×C5 | C2×#124 | 1 | 1 | yes | characteristic |
| 254 | C4×C5 | #529 | 1 | 2 | yes | — |
| 255 | Dic5 | — | 2 | 2 | no | — |
| 256 | Dic5 | — | 4 | 2 | no | — |
| 257 | Dic5 | — | 4 | 1 | no | — |
| 258 | Dic5 | — | 8 | 2 | no | — |
| 259 | #41 | — | 2 | 2 | no | — |
| 260 | #41 | — | 2 | 2 | no | — |
| 261 | #41 | — | 2 | 2 | no | — |
| 262 | #41 | — | 2 | 2 | no | — |
| 263 | C2×Q8 | — | 10 | 2 | no | — |
| 264 | C2×Q8 | #709 | 1 | 2 | yes | — |
| 265 | C2×D4 | — | 2 | 2 | no | — |
| 266 | C2×D4 | #709 | 1 | 2 | yes | — |
| 267 | C22×C4 | — | 2 | 2 | no | — |
| 268 | C22×C4 | — | 10 | 1 | no | — |
| 269 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 270 | Q16 | — | 2 | 2 | no | — |
| 271 | SD16 | — | 2 | 4 | no | — |
| 272 | D8 | — | 2 | 2 | no | — |
| 273 | M16 | — | 2 | 2 | no | — |
| 274 | M16 | — | 2 | 2 | no | — |
| 275 | M16 | — | 2 | 2 | no | — |
| 276 | M16 | — | 4 | 2 | no | — |
| 277 | M16 | — | 4 | 2 | no | — |
| 278 | M16 | — | 10 | 2 | no | — |
| 279 | M16 | — | 10 | 2 | no | — |
| 280 | M16 | — | 10 | 2 | no | — |
| 281 | C2×C8 | — | 2 | 2 | no | — |
| 282 | C2×C8 | — | 4 | 2 | no | — |
| 283 | C2×C8 | — | 4 | 2 | no | — |
| 284 | C2×C8 | — | 10 | 2 | no | — |
| 285 | C2×C8 | — | 10 | 2 | no | — |
| 286 | C2×C8 | — | 10 | 1 | no | — |
| 287 | C2×C8 | — | 10 | 1 | no | — |
| 288 | C2×C8 | #711 | 1 | 2 | yes | — |
| 289 | C2×C8 | #711 | 1 | 2 | yes | — |
| 290 | C2×C8 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 291 | C2×C8 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 292 | C2×C8 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 293 | C4⋊C4 | — | 2 | 1 | no | — |
| 294 | C4⋊C4 | — | 10 | 2 | no | — |
| 295 | C4⋊C4 | — | 10 | 2 | no | — |
| 296 | C4⋊C4 | — | 10 | 2 | no | — |
| 297 | C4⋊C4 | — | 10 | 1 | no | — |
| 298 | C4⋊C4 | — | 10 | 2 | no | — |
| 299 | C22⋊C4 | — | 2 | 1 | no | — |
| 300 | C22⋊C4 | — | 5 | 2 | no | — |
| 301 | C22⋊C4 | — | 10 | 2 | no | — |
| 302 | C42 | — | 5 | 1 | no | — |
| 303 | C42 | — | 5 | 1 | no | — |
| 304 | C42 | — | 10 | 1 | no | — |
| 305 | C42 | — | 10 | 1 | no | — |
| 306 | C42 | — | 10 | 2 | no | — |
| 307 | C42 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 308 | C2×C5 | — | 2 | 1 | no | — |
| 309 | C2×C5 | — | 2 | 2 | no | — |
| 310 | C2×C5 | — | 8 | 2 | no | — |
| 311 | C2×C5 | #2398 | 1 | 1 | yes | characteristic |
| 312 | C23 | — | 2 | 2 | no | — |
| 313 | C23 | D5×#41 | 1 | 1 | yes | characteristic |
| 314 | Q8 | — | 2 | 2 | no | — |
| 315 | Q8 | — | 2 | 2 | no | — |
| 316 | Q8 | — | 20 | 4 | no | — |
| 317 | D4 | — | 2 | 2 | no | — |
| 318 | D4 | — | 2 | 2 | no | — |
| 319 | D4 | — | 4 | 2 | no | — |
| 320 | D4 | — | 4 | 2 | no | — |
| 321 | C2×C4 | — | 2 | 2 | no | — |
| 322 | C2×C4 | — | 2 | 2 | no | — |
| 323 | C2×C4 | — | 4 | 2 | no | — |
| 324 | C2×C4 | — | 4 | 2 | no | — |
| 325 | C2×C4 | — | 10 | 1 | no | — |
| 326 | C2×C4 | — | 10 | 1 | no | — |
| 327 | C2×C4 | — | 10 | 2 | no | — |
| 328 | C2×C4 | — | 20 | 2 | no | — |
| 329 | C2×C4 | — | 20 | 2 | no | — |
| 330 | C2×C4 | C2×#709 | 1 | 2 | yes | — |
| 331 | C2×C4 | C2×#711 | 1 | 2 | yes | — |
| 332 | C2×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 333 | C2×C4 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 334 | C8 | — | 2 | 2 | no | — |
| 335 | C8 | — | 4 | 2 | no | — |
| 336 | C8 | — | 20 | 1 | no | — |
| 337 | C8 | — | 20 | 1 | no | — |
| 338 | C8 | — | 20 | 2 | no | — |
| 339 | C8 | #4082 | 1 | 2 | yes | — |
| 340 | C8 | #4082 | 1 | 1 | yes | characteristic |
| 341 | C8 | #4082 | 1 | 1 | yes | characteristic |
| 342 | C5 | #23833 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 343 | C22 | — | 4 | 1 | no | — |
| 344 | C22 | — | 4 | 2 | no | — |
| 345 | C22 | — | 8 | 2 | no | — |
| 346 | C22 | #65872 | 1 | 2 | yes | — |
| 347 | C22 | #66162 | 1 | 1 | yes | characteristic |
| 348 | C4 | — | 4 | 2 | no | — |
| 349 | C4 | — | 4 | 2 | no | — |
| 350 | C4 | — | 10 | 2 | no | — |
| 351 | C4 | — | 20 | 1 | no | — |
| 352 | C4 | — | 20 | 2 | no | — |
| 353 | C4 | — | 40 | 2 | no | — |
| 354 | C4 | #65872 | 1 | 2 | yes | — |
| 355 | C4 | #66125 | 1 | 1 | yes | characteristic |
| 356 | C4 | C2×#4082 | 1 | 1 | yes | characteristic |
| 357 | C2 | — | 2 | 1 | no | — |
| 358 | C2 | — | 2 | 2 | no | — |
| 359 | C2 | — | 8 | 2 | no | — |
| 360 | C2 | #10614079 | 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