Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
196 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 55 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. #13117009 | C2 | semidirect |
| 3. #13116679 | C2 | semidirect |
| 4. #13112904 | C2 | semidirect |
| 5. #13112897 | C2 | semidirect |
| 6. #13112873 | C2 | semidirect |
| 7. C13×#2244 | C2 | semidirect |
| 67. #2244 | D13 | semidirect |
| 161. C13 | #12465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117009 | 2 |
| #13116909 | 2 |
| #13116679 | 2 |
| #13112904 | 2 |
| #13112897 | 2 |
| #13112873 | 2 |
| C13×#2244 | 2 |
| #12465 | 13 |