Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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. #20299132 | C2 | semidirect |
| 2. #20298990 | C2 | semidirect |
| 3. #20298985 | C2 | semidirect |
| 4. #20298966 | C2 | semidirect |
| 5. #20298962 | C2 | semidirect |
| 6. #20298817 | C2 | semidirect |
| 7. #20298810 | C2 | semidirect |
| 8. #20298760 | C2 | semidirect |
| 9. #20298743 | C2 | semidirect |
| 10. #20298655 | C2 | semidirect |
| 11. #532×C113 | C2 | semidirect |
| 141. C113 | #3219 | semidirect |
| 142. #532 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299132 | 2 |
| #20298990 | 2 |
| #20298985 | 2 |
| #20298966 | 2 |
| #20298962 | 2 |
| #20298817 | 2 |
| #20298810 | 2 |
| #20298760 | 2 |
| #20298743 | 2 |
| #20298655 | 2 |
| #532×C113 | 2 |
| #3219 | 113 |