Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 20. C13×#477 | C4 | semidirect |
| 21. #11718752 | C4 | semidirect |
| 22. #11718681 | C4 | semidirect |
| 25. #11718512 | C4 | semidirect |
| 184. #477 | #261 | semidirect |
| 328. C13 | #9308 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131733 | 2 |
| #13130707 | 2 |
| #13130268 | 2 |
| #13130145 | 2 |
| #13129726 | 2 |
| #13129691 | 2 |
| #13124642 | 2 |
| #9308 | 13 |