Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
396 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20299146 | C2 | semidirect |
| 2. #20299127 | C2 | semidirect |
| 3. #20298993 | C2 | semidirect |
| 4. #20298967 | C2 | semidirect |
| 5. #20298962 | C2 | semidirect |
| 6. #20298818 | C2 | semidirect |
| 7. #20298811 | C2 | semidirect |
| 8. #20298757 | C2 | semidirect |
| 9. #20298740 | C2 | semidirect |
| 10. #20298653 | C2 | semidirect |
| 11. #496×C113 | C2 | semidirect |
| 141. C113 | #3219 | semidirect |
| 145. #496 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299146 | 2 |
| #20299127 | 2 |
| #20298993 | 2 |
| #20298967 | 2 |
| #20298962 | 2 |
| #20298818 | 2 |
| #20298811 | 2 |
| #20298757 | 2 |
| #20298740 | 2 |
| #20298653 | 2 |
| #496×C113 | 2 |
| #3219 | 113 |