Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
172 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 172 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 |
|---|---|---|
| 3. #20298416 | C2 | semidirect |
| 46. Dic113 | M32 | semidirect |
| 51. C113 | #2150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813562 | 2 |
| C2×C8×Dic113 | 2 |
| #20298416 | 2 |
| C2×M32×C113 | 2 |
| #2150 | 113 |