Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
756 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 198 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. #20299676 | C2 | semidirect |
| 2. #20299585 | C2 | semidirect |
| 3. #20299584 | C2 | semidirect |
| 4. D113⋊#100 | C2 | semidirect |
| 5. C2×#16813682 | C2 | semidirect |
| 8. D113⋊M16 | C22 | semidirect |
| 9. C2×#14268656 | C22 | semidirect |
| 10. #16813683 | C22 | semidirect |
| 11. #16813682 | C22 | semidirect |
| 12. #16813682 | C22 | semidirect |
| 132. C113 | #2888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299676 | 2 |
| #20299585 | 2 |
| #20299584 | 2 |
| D113⋊#100 | 2 |
| C2×#16813682 | 2 |
| C2×#16813667 | 2 |
| #2888 | 113 |