Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
376 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13116457 | C2 | semidirect |
| 2. #13114882 | C2 | semidirect |
| 3. #13112824 | C2 | semidirect |
| 4. #13112821 | C2 | semidirect |
| 6. C2×C13×#135 | C4 | semidirect |
| 9. C13×#470 | C4 | semidirect |
| 11. C13×#469 | C4 | semidirect |
| 15. C2×C13×#106 | C4 | semidirect |
| 152. C2×#135 | Dic13 | semidirect |
| 156. #470 | Dic13 | semidirect |
| 158. #469 | Dic13 | semidirect |
| 163. C2×#106 | Dic13 | semidirect |
| 281. C13 | #11867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116457 | 2 |
| #13114882 | 2 |
| #13112824 | 2 |
| #13112821 | 2 |
| C13×#3060 | 2 |
| #11867 | 13 |