Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#16813641 | C2 | semidirect |
| 3. #20299266 | C2 | semidirect |
| 4. #20298973 | C2 | semidirect |
| 5. #20298835 | C2 | semidirect |
| 6. #20298797 | C2 | semidirect |
| 7. #20298744 | C2 | semidirect |
| 8. #20298741 | C2 | semidirect |
| 9. #20298692 | C2 | semidirect |
| 10. C8×C22⋊D113 | C2 | semidirect |
| 11. #466×C113 | C2 | semidirect |
| 56. Dic452 | D4 | semidirect |
| 134. Dic113 | #135 | semidirect |
| 143. C113 | #3287 | semidirect |
| 149. #466 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813644 | 2 |
| C2×#16813641 | 2 |
| #20299266 | 2 |
| #20298973 | 2 |
| #20298835 | 2 |
| #20298797 | 2 |
| #20298744 | 2 |
| #20298741 | 2 |
| #20298692 | 2 |
| C8×C22⋊D113 | 2 |
| #466×C113 | 2 |
| #3287 | 113 |