Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
814 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 814 conjugacy classes of subgroups — too many to draw. Only its 159 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. #13125572 | C2 | semidirect |
| 2. #13125572 | C2 | semidirect |
| 3. #13125290 | C2 | semidirect |
| 4. #13125226 | C2 | semidirect |
| 5. #13114498 | C2 | semidirect |
| 6. #13114474 | C2 | semidirect |
| 7. #13114469 | C2 | semidirect |
| 8. #13114441 | C2 | semidirect |
| 9. #13114435 | C2 | semidirect |
| 10. #13113140 | C2 | semidirect |
| 11. C13×#1721 | C2 | semidirect |
| 137. #1721 | D13 | semidirect |
| 317. C13 | #19750 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125572 | 2 |
| #13125290 | 2 |
| #13125226 | 2 |
| #13114498 | 2 |
| #13114474 | 2 |
| #13114469 | 2 |
| #13114441 | 2 |
| #13114435 | 2 |
| #13113140 | 2 |
| C13×#1721 | 2 |
| #19750 | 13 |