Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1234 conjugacy classes of subgroups; only the 224 normal subgroups are shown.
This group has 1234 conjugacy classes of subgroups — too many to draw. Only its 224 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. D13⋊#432 | C2 | semidirect |
| 2. #13130315 | C2 | semidirect |
| 3. #13130306 | C2 | semidirect |
| 20. #11719054 | C22 | semidirect |
| 22. #11719047 | C22 | semidirect |
| 23. #11718293 | C22 | semidirect |
| 284. C13 | #17675 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#432 | 2 |
| #13130315 | 2 |
| #13130306 | 2 |
| C2×#11719421 | 2 |
| #17675 | 13 |