Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
336 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. #20298941 | C2 | semidirect |
| 3. #20298935 | C2 | semidirect |
| 4. #20298902 | C2 | semidirect |
| 5. #20298857 | C2 | semidirect |
| 6. C4×Dic452 | C2 | semidirect |
| 8. #20298637 | C2 | semidirect |
| 9. #499×C113 | C2 | semidirect |
| 97. C113 | #3352 | semidirect |
| 99. #499 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299286 | 2 |
| #20298941 | 2 |
| #20298935 | 2 |
| #20298902 | 2 |
| #20298857 | 2 |
| C4×Dic452 | 2 |
| #20298677 | 2 |
| #20298637 | 2 |
| #499×C113 | 2 |
| #3352 | 113 |