Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13123704 | C2 | semidirect |
| 3. #13116556 | C2 | semidirect |
| 5. #13112938 | C2 | semidirect |
| 6. #13112921 | C2 | semidirect |
| 13. C2×C13×Q32 | C4 | semidirect |
| 14. C2×C13×SD32 | C4 | semidirect |
| 160. C2×Q32 | Dic13 | semidirect |
| 161. C2×SD32 | Dic13 | semidirect |
| 282. C13 | #13034 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123704 | 2 |
| #13116572 | 2 |
| #13116556 | 2 |
| #13115735 | 2 |
| #13112938 | 2 |
| #13112921 | 2 |
| C2×C13×#510 | 2 |
| #13034 | 13 |