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 |
|---|---|---|
| 1. #20299220 | C2 | semidirect |
| 2. #20298995 | C2 | semidirect |
| 3. #20298983 | C2 | semidirect |
| 4. #20298959 | C2 | semidirect |
| 5. #20298853 | C2 | semidirect |
| 7. #20298830 | C2 | semidirect |
| 8. #20298711 | C2 | semidirect |
| 9. C4×#14268634 | C2 | semidirect |
| 10. #20298555 | C2 | semidirect |
| 11. #441×C113 | C2 | semidirect |
| 110. C113 | #3173 | semidirect |
| 119. #441 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299220 | 2 |
| #20298995 | 2 |
| #20298983 | 2 |
| #20298959 | 2 |
| #20298853 | 2 |
| #20298852 | 2 |
| #20298830 | 2 |
| #20298711 | 2 |
| C4×#14268634 | 2 |
| #20298555 | 2 |
| #441×C113 | 2 |
| #3173 | 113 |