Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#16813654 | C2 | semidirect |
| 3. #20299263 | C2 | semidirect |
| 4. #20298972 | C2 | semidirect |
| 5. #20298847 | C2 | semidirect |
| 6. #20298799 | C2 | semidirect |
| 7. #20298759 | C2 | semidirect |
| 8. #20298738 | C2 | semidirect |
| 9. C4×#14268637 | C2 | semidirect |
| 10. #20298675 | C2 | semidirect |
| 11. #462×C113 | C2 | semidirect |
| 57. #14268637 | D4 | semidirect |
| 125. C4×C113 | #137 | semidirect |
| 137. C113 | #3278 | semidirect |
| 143. #462 | D113 | semidirect |
| 265. C4 | #16813654 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813654 | 2 |
| #20299270 | 2 |
| #20299263 | 2 |
| #20298972 | 2 |
| #20298847 | 2 |
| #20298799 | 2 |
| #20298759 | 2 |
| #20298738 | 2 |
| C4×#14268637 | 2 |
| #20298675 | 2 |
| #462×C113 | 2 |
| #3278 | 113 |