Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
520 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13126178 | C2 | semidirect |
| 4. #13113452 | C2 | semidirect |
| 5. #13113451 | C2 | semidirect |
| 6. #13112705 | C2 | semidirect |
| 331. C13 | #10030 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126178 | 2 |
| #13124935 | 2 |
| #13115635 | 2 |
| #13113452 | 2 |
| #13113451 | 2 |
| #13112705 | 2 |
| C13×#3110 | 2 |
| #10030 | 13 |