Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
200 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 8. #16813676 | C4 | semidirect |
| 9. C8×#90673 | C4 | semidirect |
| 13. #16813533 | C4 | semidirect |
| 14. #16813532 | C4 | semidirect |
| 15. C8×Dic113 | C4 | semidirect |
| 16. C4×C8×C113 | C4 | semidirect |
| 62. C113 | #1747 | semidirect |
| 78. C4×C8 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299561 | 2 |
| #20299467 | 2 |
| #20299466 | 2 |
| #20299465 | 2 |
| #20298552 | 2 |
| #1747 | 113 |