Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
436 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 98 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. C2×#16813684 | C2 | semidirect |
| 2. C4×#14268655 | C2 | semidirect |
| 3. #20299544 | C2 | semidirect |
| 12. #16813619 | C4 | semidirect |
| 14. #16813618 | C4 | semidirect |
| 16. #127×C113 | C4 | semidirect |
| 19. #14268655 | D4 | semidirect |
| 76. C4×C113 | #102 | semidirect |
| 78. Dic113 | #102 | semidirect |
| 88. C113 | #1957 | semidirect |
| 99. #127 | #90673 | semidirect |
| 166. C4 | #16813684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813684 | 2 |
| C4×#14268655 | 2 |
| #20299544 | 2 |
| #127×D113 | 2 |
| #1957 | 113 |