Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 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. #20299130 | C2 | semidirect |
| 2. #20298998 | C2 | semidirect |
| 3. #20298981 | C2 | semidirect |
| 4. #20298951 | C2 | semidirect |
| 5. #20298857 | C2 | semidirect |
| 7. #20298843 | C2 | semidirect |
| 8. #20298706 | C2 | semidirect |
| 9. #20298698 | C2 | semidirect |
| 10. #20298550 | C2 | semidirect |
| 11. #442×C113 | C2 | semidirect |
| 110. C113 | #3183 | semidirect |
| 118. #442 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299130 | 2 |
| #20298998 | 2 |
| #20298981 | 2 |
| #20298951 | 2 |
| #20298857 | 2 |
| #20298848 | 2 |
| #20298843 | 2 |
| #20298706 | 2 |
| #20298698 | 2 |
| #20298550 | 2 |
| #442×C113 | 2 |
| #3183 | 113 |