Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
108 conjugacy classes of subgroups; only the 29 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 29 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. #20299693 | C2 | semidirect |
| 2. #20299687 | C2 | semidirect |
| 19. D904 | C8 | semidirect |
| 22. D8×C113 | C8 | semidirect |
| 52. C113 | #1333 | semidirect |
| 67. D8 | #11744762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299693 | 2 |
| #20299687 | 2 |
| D8×#90673 | 2 |
| #1333 | 113 |