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. #20298937 | C2 | semidirect |
| 4. #20298893 | C2 | semidirect |
| 5. #20298889 | C2 | semidirect |
| 6. #20298800 | C2 | semidirect |
| 8. #20298705 | C2 | semidirect |
| 9. #20298701 | C2 | semidirect |
| 10. #20298654 | C2 | semidirect |
| 11. #462×C113 | C2 | semidirect |
| 137. C113 | #3116 | semidirect |
| 143. #462 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299153 | 2 |
| C4×#14268648 | 2 |
| #20298937 | 2 |
| #20298893 | 2 |
| #20298889 | 2 |
| #20298800 | 2 |
| #20298759 | 2 |
| #20298705 | 2 |
| #20298701 | 2 |
| #20298654 | 2 |
| #462×C113 | 2 |
| #3116 | 113 |