Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 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. #20298950 | C2 | semidirect |
| 4. #20298935 | C2 | semidirect |
| 5. #20298840 | C2 | semidirect |
| 6. #20298809 | C2 | semidirect |
| 7. #20298755 | C2 | semidirect |
| 8. C4×#14268637 | C2 | semidirect |
| 10. #103×D113 | C2 | semidirect |
| 11. #477×C113 | C2 | semidirect |
| 90. D452 | Q16 | semidirect |
| 123. C113 | #3299 | semidirect |
| 128. #477 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299309 | 2 |
| Q8×D452 | 2 |
| #20298950 | 2 |
| #20298935 | 2 |
| #20298840 | 2 |
| #20298809 | 2 |
| #20298755 | 2 |
| C4×#14268637 | 2 |
| #20298663 | 2 |
| #103×D113 | 2 |
| #477×C113 | 2 |
| #3299 | 113 |