Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
624 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 142 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 |
|---|---|---|
| 13. C13×#423 | C4 | semidirect |
| 14. #11718779 | C4 | semidirect |
| 15. #11718779 | C4 | semidirect |
| 16. #11718585 | C4 | semidirect |
| 165. #423 | #261 | semidirect |
| 284. C13 | #11246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#430 | 2 |
| #13130540 | 2 |
| #13130508 | 2 |
| C2×#11718235 | 2 |
| #13123398 | 2 |
| #11246 | 13 |