Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
590 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13125964 | C2 | semidirect |
| 3. #13113521 | C2 | semidirect |
| 4. #13113330 | C2 | semidirect |
| 5. #13113227 | C2 | semidirect |
| 6. #13112739 | C2 | semidirect |
| 7. C13×#2563 | C2 | semidirect |
| 136. #2563 | D13 | semidirect |
| 346. C13 | #10241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125964 | 2 |
| #13124300 | 2 |
| #13113521 | 2 |
| #13113330 | 2 |
| #13113227 | 2 |
| #13112739 | 2 |
| C13×#2563 | 2 |
| #10241 | 13 |