Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
126 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 47 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. #20298996 | C2 | semidirect |
| 3. #20298421 | C2 | semidirect |
| 5. #364×C113 | C2 | semidirect |
| 17. Dic452 | Q8 | semidirect |
| 19. D904 | Q8 | semidirect |
| 53. C113 | #2230 | semidirect |
| 57. #364 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298996 | 2 |
| #20298716 | 2 |
| #20298421 | 2 |
| #20298409 | 2 |
| #364×C113 | 2 |
| #2230 | 113 |