Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 2. #20299326 | C2 | semidirect |
| 3. #20298989 | C2 | semidirect |
| 5. #20298819 | C2 | semidirect |
| 6. #20298809 | C2 | semidirect |
| 7. #20298801 | C2 | semidirect |
| 8. #20298725 | C2 | semidirect |
| 9. #20298695 | C2 | semidirect |
| 10. C4×#14268637 | C2 | semidirect |
| 122. C113 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299334 | 2 |
| #20299326 | 2 |
| #20298989 | 2 |
| #20298970 | 2 |
| #20298819 | 2 |
| #20298809 | 2 |
| #20298801 | 2 |
| #20298725 | 2 |
| #20298695 | 2 |
| C4×#14268637 | 2 |
| #460×C113 | 2 |
| #3400 | 113 |