Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
586 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 586 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13125487 | C2 | semidirect |
| 2. #13125324 | C2 | semidirect |
| 3. #13117102 | C2 | semidirect |
| 4. #13117093 | C2 | semidirect |
| 5. #13117070 | C2 | semidirect |
| 6. #13116894 | C2 | semidirect |
| 7. #13116880 | C2 | semidirect |
| 8. #13116762 | C2 | semidirect |
| 9. #13116754 | C2 | semidirect |
| 10. #13116644 | C2 | semidirect |
| 11. C13×#2245 | C2 | semidirect |
| 144. #2245 | D13 | semidirect |
| 334. C13 | #33787 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125487 | 2 |
| #13125324 | 2 |
| #13117102 | 2 |
| #13117093 | 2 |
| #13117070 | 2 |
| #13116894 | 2 |
| #13116880 | 2 |
| #13116762 | 2 |
| #13116754 | 2 |
| #13116644 | 2 |
| C13×#2245 | 2 |
| #33787 | 13 |