Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
434 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 111 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. #20299147 | C2 | semidirect |
| 2. #20299146 | C2 | semidirect |
| 3. #20298985 | C2 | semidirect |
| 4. #20298958 | C2 | semidirect |
| 5. #20298957 | C2 | semidirect |
| 6. #20298801 | C2 | semidirect |
| 7. #20298791 | C2 | semidirect |
| 8. #20298742 | C2 | semidirect |
| 9. #20298740 | C2 | semidirect |
| 10. #20298653 | C2 | semidirect |
| 11. #496×C113 | C2 | semidirect |
| 150. C113 | #3214 | semidirect |
| 154. #496 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299147 | 2 |
| #20299146 | 2 |
| #20298985 | 2 |
| #20298958 | 2 |
| #20298957 | 2 |
| #20298801 | 2 |
| #20298791 | 2 |
| #20298742 | 2 |
| #20298740 | 2 |
| #20298653 | 2 |
| #496×C113 | 2 |
| #3214 | 113 |