Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
292 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 105 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. #20298554 | C2 | semidirect |
| 5. C2×#16813533 | C2 | semidirect |
| 6. #20298362 | C2 | semidirect |
| 7. #339×C113 | C2 | semidirect |
| 10. #16813630 | C4 | semidirect |
| 16. #16813550 | C4 | semidirect |
| 17. #16813545 | C4 | semidirect |
| 18. #16813542 | C4 | semidirect |
| 99. C113 | #1765 | semidirect |
| 106. #339 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813630 | 2 |
| C2×#16813550 | 2 |
| #20298592 | 2 |
| #20298554 | 2 |
| C2×#16813533 | 2 |
| #20298362 | 2 |
| #339×C113 | 2 |
| #1765 | 113 |