Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 2. D13×#494 | C2 | semidirect |
| 3. #13117093 | C2 | semidirect |
| 4. #13117092 | C2 | semidirect |
| 5. #13117065 | C2 | semidirect |
| 6. #13116880 | C2 | semidirect |
| 7. #13116754 | C2 | semidirect |
| 8. #13116633 | C2 | semidirect |
| 9. C13×#2241 | C2 | semidirect |
| 128. #2241 | D13 | semidirect |
| 156. C4×D13 | SD32 | semidirect |
| 298. C13 | #33772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125416 | 2 |
| D13×#494 | 2 |
| #13117093 | 2 |
| #13117092 | 2 |
| #13117065 | 2 |
| #13116880 | 2 |
| #13116754 | 2 |
| #13116633 | 2 |
| C13×#2241 | 2 |
| #33772 | 13 |