Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 3. #20298706 | C2 | semidirect |
| 4. #20298421 | C2 | semidirect |
| 5. #20298415 | C2 | semidirect |
| 7. #347×C113 | C2 | semidirect |
| 12. Dic904 | C4 | semidirect |
| 13. #16813567 | C4 | semidirect |
| 65. C113 | #2180 | semidirect |
| 72. #347 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299041 | 2 |
| #20298721 | 2 |
| #20298706 | 2 |
| #20298421 | 2 |
| #20298415 | 2 |
| #20298409 | 2 |
| #347×C113 | 2 |
| #2180 | 113 |