Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
422 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #13113309 | C2 | semidirect |
| 5. #13112699 | C2 | semidirect |
| 6. #13112665 | C2 | semidirect |
| 7. C13×#1506 | C2 | semidirect |
| 12. #11718749 | C4 | semidirect |
| 13. #11718749 | C4 | semidirect |
| 14. #11718740 | C4 | semidirect |
| 15. #11718739 | C4 | semidirect |
| 113. #1506 | D13 | semidirect |
| 278. C13 | #9279 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125972 | 2 |
| #13123914 | 2 |
| #13113343 | 2 |
| #13113309 | 2 |
| #13112699 | 2 |
| #13112665 | 2 |
| C13×#1506 | 2 |
| #9279 | 13 |