Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
556 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13126224 | C2 | semidirect |
| 3. #13125211 | C2 | semidirect |
| 4. #13115675 | C2 | semidirect |
| 5. #13113427 | C2 | semidirect |
| 6. #13113256 | C2 | semidirect |
| 7. C13×#1299 | C2 | semidirect |
| 132. #1299 | D13 | semidirect |
| 317. C13 | #10112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126224 | 2 |
| #13125756 | 2 |
| #13125211 | 2 |
| #13115675 | 2 |
| #13113427 | 2 |
| #13113256 | 2 |
| C13×#1299 | 2 |
| #10112 | 13 |