Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20298902 | C2 | semidirect |
| 4. #20298805 | C2 | semidirect |
| 6. #20298703 | C2 | semidirect |
| 7. C4×#14268637 | C2 | semidirect |
| 96. C113 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299075 | 2 |
| #20298936 | 2 |
| #20298902 | 2 |
| #20298805 | 2 |
| #20298753 | 2 |
| #20298703 | 2 |
| C4×#14268637 | 2 |
| #20298659 | 2 |
| #541×C113 | 2 |
| #3127 | 113 |