Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
438 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20299149 | C2 | semidirect |
| 2. #20299146 | C2 | semidirect |
| 3. #20298974 | C2 | semidirect |
| 4. #20298948 | C2 | semidirect |
| 5. #20298945 | C2 | semidirect |
| 6. #20298815 | C2 | semidirect |
| 7. #20298742 | C2 | semidirect |
| 8. #20298649 | C2 | semidirect |
| 9. #492×C113 | C2 | semidirect |
| 121. C113 | #3207 | semidirect |
| 125. #492 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299149 | 2 |
| #20299146 | 2 |
| #20298974 | 2 |
| #20298948 | 2 |
| #20298945 | 2 |
| #20298815 | 2 |
| #20298742 | 2 |
| #20298649 | 2 |
| #492×C113 | 2 |
| #3207 | 113 |