Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
196 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #20299693 | C2 | semidirect |
| 3. #20299691 | C2 | semidirect |
| 5. #16813719 | C4 | semidirect |
| 6. #16813718 | C4 | semidirect |
| 15. #14268659 | C2×C4 | semidirect |
| 52. #90673 | M32 | semidirect |
| 62. C113 | C4×M32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299717 | 2 |
| #20299693 | 2 |
| #20299691 | 2 |
| C2×C8×#90673 | 2 |
| C4×M32 | 113 |