Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
300 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 300 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 |
|---|---|---|
| 3. #20298553 | C2 | semidirect |
| 4. C2×C8×Dic113 | C2 | semidirect |
| 5. #20298362 | C2 | semidirect |
| 6. #20298359 | C2 | semidirect |
| 12. #16813549 | C4 | semidirect |
| 13. #16813546 | C4 | semidirect |
| 14. #16813543 | C4 | semidirect |
| 20. #131×C113 | C4 | semidirect |
| 99. C113 | #1764 | semidirect |
| 109. #131 | Dic113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813549 | 2 |
| #20298594 | 2 |
| #20298553 | 2 |
| C2×C8×Dic113 | 2 |
| #20298362 | 2 |
| #20298359 | 2 |
| C2×#131×C113 | 2 |
| #1764 | 113 |