Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20299312 | C2 | semidirect |
| 2. #20299002 | C2 | semidirect |
| 3. #20298921 | C2 | semidirect |
| 4. #20298919 | C2 | semidirect |
| 5. #20298886 | C2 | semidirect |
| 6. #20298831 | C2 | semidirect |
| 7. D8×Dic113 | C2 | semidirect |
| 8. C8×C22⋊D113 | C2 | semidirect |
| 9. #20298636 | C2 | semidirect |
| 10. #20298635 | C2 | semidirect |
| 11. #466×C113 | C2 | semidirect |
| 121. C113 | #3341 | semidirect |
| 128. #466 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299312 | 2 |
| #20299002 | 2 |
| #20298921 | 2 |
| #20298919 | 2 |
| #20298886 | 2 |
| #20298831 | 2 |
| D8×Dic113 | 2 |
| C8×C22⋊D113 | 2 |
| #20298636 | 2 |
| #20298635 | 2 |
| #466×C113 | 2 |
| #3341 | 113 |