Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13115992 | C2 | semidirect |
| 2. #13113877 | C2 | semidirect |
| 3. #13113775 | C2 | semidirect |
| 4. #13112863 | C2 | semidirect |
| 5. #13112839 | C2 | semidirect |
| 6. #13112768 | C2 | semidirect |
| 308. C13 | #12274 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115992 | 2 |
| #13113877 | 2 |
| #13113775 | 2 |
| #13112863 | 2 |
| #13112839 | 2 |
| #13112768 | 2 |
| C13×#2828 | 2 |
| #12274 | 13 |