Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 64 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. #13131205 | C2 | semidirect |
| 2. #13129847 | C2 | semidirect |
| 3. #13129844 | C2 | semidirect |
| 15. #11718233 | C22 | semidirect |
| 187. C13 | #11992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131205 | 2 |
| #13129847 | 2 |
| #13129844 | 2 |
| #13125289 | 2 |
| #11992 | 13 |