Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20299226 | C2 | semidirect |
| 2. #20298966 | C2 | semidirect |
| 3. #20298957 | C2 | semidirect |
| 4. #20298952 | C2 | semidirect |
| 5. #20298948 | C2 | semidirect |
| 6. #20298607 | C2 | semidirect |
| 9. C2×#16813546 | C2 | semidirect |
| 10. #20298554 | C2 | semidirect |
| 128. C113 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299226 | 2 |
| #20298966 | 2 |
| #20298957 | 2 |
| #20298952 | 2 |
| #20298948 | 2 |
| #20298607 | 2 |
| #20298599 | 2 |
| #20298594 | 2 |
| C2×#16813546 | 2 |
| #20298554 | 2 |
| #536×C113 | 2 |
| #3137 | 113 |