Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
360 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13115794 | C2 | semidirect |
| 2. #13113622 | C2 | semidirect |
| 5. #13113192 | C2 | semidirect |
| 6. #13112693 | C2 | semidirect |
| 278. C13 | #10509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115794 | 2 |
| #13113622 | 2 |
| #13113531 | 2 |
| #13113331 | 2 |
| #13113192 | 2 |
| #13112693 | 2 |
| C13×#3234 | 2 |
| #10509 | 13 |