Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
636 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 636 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13127986 | C2 | semidirect |
| 2. #13126641 | C2 | semidirect |
| 3. #13117089 | C2 | semidirect |
| 4. #13116962 | C2 | semidirect |
| 5. #13116917 | C2 | semidirect |
| 6. #13116815 | C2 | semidirect |
| 7. #13116674 | C2 | semidirect |
| 8. C13×#2178 | C2 | semidirect |
| 109. #2178 | D13 | semidirect |
| 240. C13 | #33860 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127986 | 2 |
| #13126641 | 2 |
| #13117089 | 2 |
| #13116962 | 2 |
| #13116917 | 2 |
| #13116815 | 2 |
| #13116674 | 2 |
| C13×#2178 | 2 |
| #33860 | 13 |