Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13125479 | C2 | semidirect |
| 2. #13116996 | C2 | semidirect |
| 3. #13116991 | C2 | semidirect |
| 4. #13116937 | C2 | semidirect |
| 5. #13116922 | C2 | semidirect |
| 6. #13116870 | C2 | semidirect |
| 7. #13116869 | C2 | semidirect |
| 8. #13116594 | C2 | semidirect |
| 9. C13×#2215 | C2 | semidirect |
| 109. #2215 | D13 | semidirect |
| 254. C13 | #33825 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125479 | 2 |
| #13116996 | 2 |
| #13116991 | 2 |
| #13116937 | 2 |
| #13116922 | 2 |
| #13116870 | 2 |
| #13116869 | 2 |
| #13116594 | 2 |
| C13×#2215 | 2 |
| #33825 | 13 |