Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
748 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 748 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13115669 | C2 | semidirect |
| 3. #13113567 | C2 | semidirect |
| 4. #13113559 | C2 | semidirect |
| 5. #13113349 | C2 | semidirect |
| 6. #13113345 | C2 | semidirect |
| 7. C13×#1536 | C2 | semidirect |
| 10. #11719435 | C4 | semidirect |
| 11. #11719423 | C4 | semidirect |
| 154. #1536 | D13 | semidirect |
| 370. C13 | #8493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129234 | 2 |
| #13115669 | 2 |
| #13113567 | 2 |
| #13113559 | 2 |
| #13113349 | 2 |
| #13113345 | 2 |
| C13×#1536 | 2 |
| #8493 | 13 |