Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
312 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 312 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 |
|---|---|---|
| 9. C2×Dic452 | C4 | semidirect |
| 42. C2×C4×C113 | Q16 | semidirect |
| 78. C113 | #1969 | semidirect |
| 129. C2×C4 | Dic452 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic452 | 2 |
| C2×#16813556 | 2 |
| C2×#16813547 | 2 |
| #20298504 | 2 |
| C2×C4×C8×C113 | 2 |
| #1969 | 113 |