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 |
|---|---|---|
| 2. #20298968 | C2 | semidirect |
| 3. #20298960 | C2 | semidirect |
| 4. #20298955 | C2 | semidirect |
| 5. #20298950 | C2 | semidirect |
| 6. #20298606 | C2 | semidirect |
| 9. C2×#16813545 | C2 | semidirect |
| 10. #20298554 | C2 | semidirect |
| 11. #544×C113 | C2 | semidirect |
| 128. C113 | #3137 | semidirect |
| 129. #544 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299174 | 2 |
| #20298968 | 2 |
| #20298960 | 2 |
| #20298955 | 2 |
| #20298950 | 2 |
| #20298606 | 2 |
| #20298597 | 2 |
| #20298592 | 2 |
| C2×#16813545 | 2 |
| #20298554 | 2 |
| #544×C113 | 2 |
| #3137 | 113 |