Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 37. C13×#101 | Q8 | semidirect |
| 40. #88076 | Q8 | semidirect |
| 167. #101 | Dic26 | semidirect |
| 213. C13 | #13464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13122829 | 2 |
| #13115051 | 2 |
| #13112963 | 2 |
| #13112962 | 2 |
| C13×#1857 | 2 |
| #13464 | 13 |