Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1502 conjugacy classes of subgroups; only the 212 normal subgroups are shown.
This group has 1502 conjugacy classes of subgroups — too many to draw. Only its 212 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#11718285 | C2 | semidirect |
| 19. C23×C4×C13 | C8 | semidirect |
| 114. C2×C4×C13 | C22⋊C8 | semidirect |
| 151. C22×C13 | #324 | semidirect |
| 177. C23×C4 | #1057 | semidirect |
| 239. C13 | #8299 | semidirect |
| 280. C2×C4 | C22⋊#1057 | semidirect |
| 295. C22 | #11718285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130658 | 2 |
| C2×#11718285 | 2 |
| C23×C4⋊Dic13 | 2 |
| #8299 | 13 |