Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20299153 | C2 | semidirect |
| 3. #20298938 | C2 | semidirect |
| 4. #20298894 | C2 | semidirect |
| 5. #20298888 | C2 | semidirect |
| 6. #20298805 | C2 | semidirect |
| 8. #20298702 | C2 | semidirect |
| 9. #20298699 | C2 | semidirect |
| 10. #20298654 | C2 | semidirect |
| 11. #461×C113 | C2 | semidirect |
| 137. C113 | #3116 | semidirect |
| 144. #461 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299153 | 2 |
| C4×#14268646 | 2 |
| #20298938 | 2 |
| #20298894 | 2 |
| #20298888 | 2 |
| #20298805 | 2 |
| #20298757 | 2 |
| #20298702 | 2 |
| #20298699 | 2 |
| #20298654 | 2 |
| #461×C113 | 2 |
| #3116 | 113 |