Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
768 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 768 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13125584 | C2 | semidirect |
| 2. #13124088 | C2 | semidirect |
| 3. #13114748 | C2 | semidirect |
| 4. #13113197 | C2 | semidirect |
| 5. #13113196 | C2 | semidirect |
| 6. #13112712 | C2 | semidirect |
| 7. C13×#3006 | C2 | semidirect |
| 158. #3006 | D13 | semidirect |
| 410. C13 | #9974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125584 | 2 |
| #13124088 | 2 |
| #13114748 | 2 |
| #13113197 | 2 |
| #13113196 | 2 |
| #13112712 | 2 |
| C13×#3006 | 2 |
| #9974 | 13 |