Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
1424 conjugacy classes of subgroups; only the 750 normal subgroups are shown.
This group has 1424 conjugacy classes of subgroups — too many to draw. Only its 750 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. #20299678 | C2 | semidirect |
| 2. #20299677 | C2 | semidirect |
| 3. C2×#16813710 | C2 | semidirect |
| 4. D113⋊#131 | C2 | semidirect |
| 6. #16813710 | C22 | semidirect |
| 7. #16813710 | C22 | semidirect |
| 8. #16813710 | C22 | semidirect |
| 9. #16813709 | C22 | semidirect |
| 10. #16813709 | C22 | semidirect |
| 11. C2×#14268657 | C22 | semidirect |
| 12. D113⋊M16 | C22 | semidirect |
| 13. C2×#14268655 | C22 | semidirect |
| 59. C113 | #3573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299678 | 2 |
| #20299677 | 2 |
| C2×#16813710 | 2 |
| D113⋊#131 | 2 |
| #20299435 | 2 |
| #3573 | 113 |