Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
954 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13126219 | C2 | semidirect |
| 3. #13113976 | C2 | semidirect |
| 4. #13113957 | C2 | semidirect |
| 5. #13113914 | C2 | semidirect |
| 6. #13113895 | C2 | semidirect |
| 7. #13113571 | C2 | semidirect |
| 8. #13113291 | C2 | semidirect |
| 9. C13×#3550 | C2 | semidirect |
| 136. #3550 | D13 | semidirect |
| 325. C13 | #18688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126219 | 2 |
| #13125262 | 2 |
| #13113976 | 2 |
| #13113957 | 2 |
| #13113914 | 2 |
| #13113895 | 2 |
| #13113571 | 2 |
| #13113291 | 2 |
| C13×#3550 | 2 |
| #18688 | 13 |