Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
222 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 75 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×#16813532 | C2 | semidirect |
| 5. #20298362 | C2 | semidirect |
| 6. #20298357 | C2 | semidirect |
| 7. #424×C113 | C2 | semidirect |
| 13. #16813545 | C4 | semidirect |
| 14. #16813542 | C4 | semidirect |
| 91. C113 | #1938 | semidirect |
| 92. #424 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813548 | 2 |
| #20298592 | 2 |
| #20298564 | 2 |
| C2×#16813532 | 2 |
| #20298362 | 2 |
| #20298357 | 2 |
| #424×C113 | 2 |
| #1938 | 113 |