Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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×#16813644 | C2 | semidirect |
| 2. #20299041 | C2 | semidirect |
| 3. #20299036 | C2 | semidirect |
| 4. #20299030 | C2 | semidirect |
| 5. C2×M32×C113 | C2 | semidirect |
| 10. #16813644 | C22 | semidirect |
| 11. C2×Dic452 | C22 | semidirect |
| 13. C2×D904 | C22 | semidirect |
| 14. Dic904 | C22 | semidirect |
| 15. #16813567 | C22 | semidirect |
| 16. D1808 | C22 | semidirect |
| 18. M32×C113 | C22 | semidirect |
| 19. C2×C16×C113 | C22 | semidirect |
| 72. C113 | #3414 | semidirect |
| 77. C2×M32 | D113 | semidirect |
| 90. M32 | C2×D113 | semidirect |
| 91. C2×C16 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813644 | 2 |
| #20299041 | 2 |
| #20299036 | 2 |
| #20299030 | 2 |
| C2×M32×C113 | 2 |
| #3414 | 113 |