Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13117079 | C2 | semidirect |
| 2. #13116876 | C2 | semidirect |
| 4. #13112888 | C2 | semidirect |
| 5. #13112806 | C2 | semidirect |
| 6. #13112794 | C2 | semidirect |
| 7. C13×#3352 | C2 | semidirect |
| 100. #3352 | D13 | semidirect |
| 245. C13 | #12349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117079 | 2 |
| #13116876 | 2 |
| #13114315 | 2 |
| #13112888 | 2 |
| #13112806 | 2 |
| #13112794 | 2 |
| C13×#3352 | 2 |
| #12349 | 13 |