Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
554 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 554 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. #13126219 | C2 | semidirect |
| 3. #13115814 | C2 | semidirect |
| 4. #13115665 | C2 | semidirect |
| 5. #13115663 | C2 | semidirect |
| 6. #13112749 | C2 | semidirect |
| 7. C13×#3254 | C2 | semidirect |
| 143. #3254 | D13 | semidirect |
| 359. C13 | #10301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126219 | 2 |
| #13126214 | 2 |
| #13115814 | 2 |
| #13115665 | 2 |
| #13115663 | 2 |
| #13112749 | 2 |
| C13×#3254 | 2 |
| #10301 | 13 |