Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 452 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 |
|---|---|---|
| 2. #13124008 | C2 | semidirect |
| 3. #13115669 | C2 | semidirect |
| 4. #13113323 | C2 | semidirect |
| 5. #13112728 | C2 | semidirect |
| 6. #13112727 | C2 | semidirect |
| 7. C13×#1496 | C2 | semidirect |
| 14. #11718750 | C4 | semidirect |
| 15. #11718741 | C4 | semidirect |
| 16. #11718735 | C4 | semidirect |
| 17. #11718732 | C4 | semidirect |
| 149. #1496 | D13 | semidirect |
| 359. C13 | #8997 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125425 | 2 |
| #13124008 | 2 |
| #13115669 | 2 |
| #13113323 | 2 |
| #13112728 | 2 |
| #13112727 | 2 |
| C13×#1496 | 2 |
| #8997 | 13 |