Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20299217 | C2 | semidirect |
| 2. #20299003 | C2 | semidirect |
| 3. #20298957 | C2 | semidirect |
| 4. #20298841 | C2 | semidirect |
| 5. #20298836 | C2 | semidirect |
| 7. #20298699 | C2 | semidirect |
| 8. Q16×Dic113 | C2 | semidirect |
| 9. D8×Dic113 | C2 | semidirect |
| 10. #20298552 | C2 | semidirect |
| 11. #495×C113 | C2 | semidirect |
| 118. C113 | #3175 | semidirect |
| 121. #495 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299217 | 2 |
| #20299003 | 2 |
| #20298957 | 2 |
| #20298841 | 2 |
| #20298836 | 2 |
| #20298831 | 2 |
| #20298699 | 2 |
| Q16×Dic113 | 2 |
| D8×Dic113 | 2 |
| #20298552 | 2 |
| #495×C113 | 2 |
| #3175 | 113 |