Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #13113517 | C2 | semidirect |
| 5. #13112694 | C2 | semidirect |
| 6. #13112667 | C2 | semidirect |
| 7. C13×#1993 | C2 | semidirect |
| 14. #11718749 | C4 | semidirect |
| 16. #11718740 | C4 | semidirect |
| 114. #1993 | D13 | semidirect |
| 284. C13 | #9287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125964 | 2 |
| #13123555 | 2 |
| #13113517 | 2 |
| #13113395 | 2 |
| #13112694 | 2 |
| #13112667 | 2 |
| C13×#1993 | 2 |
| #9287 | 13 |