Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. Q8×Dic226 | C2 | semidirect |
| 4. #20298948 | C2 | semidirect |
| 6. #20298881 | C2 | semidirect |
| 8. #20298725 | C2 | semidirect |
| 9. #20298705 | C2 | semidirect |
| 11. #462×C113 | C2 | semidirect |
| 117. C113 | #3369 | semidirect |
| 125. #462 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic226 | 2 |
| #20299322 | 2 |
| #20298959 | 2 |
| #20298948 | 2 |
| #20298889 | 2 |
| #20298881 | 2 |
| #20298822 | 2 |
| #20298725 | 2 |
| #20298705 | 2 |
| C4×#14268634 | 2 |
| #462×C113 | 2 |
| #3369 | 113 |