Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
300 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 4. C2×C8×Dic113 | C2 | semidirect |
| 5. #20298362 | C2 | semidirect |
| 6. #20298357 | C2 | semidirect |
| 7. #405×C113 | C2 | semidirect |
| 10. #16813628 | C4 | semidirect |
| 16. #16813548 | C4 | semidirect |
| 17. #16813545 | C4 | semidirect |
| 18. #16813542 | C4 | semidirect |
| 99. C113 | #1764 | semidirect |
| 103. #405 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813628 | 2 |
| C2×#16813548 | 2 |
| #20298592 | 2 |
| C2×C8×Dic113 | 2 |
| #20298362 | 2 |
| #20298357 | 2 |
| #405×C113 | 2 |
| #1764 | 113 |