Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. #13125359 | C2 | semidirect |
| 4. #13112942 | C2 | semidirect |
| 5. #13112941 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 29. C2×C13×D8 | Q8 | semidirect |
| 172. C2×D8 | Dic26 | semidirect |
| 246. C13 | #13367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125359 | 2 |
| #13116552 | 2 |
| #13115713 | 2 |
| #13112942 | 2 |
| #13112941 | 2 |
| #13112919 | 2 |
| C13×#2140 | 2 |
| #13367 | 13 |