Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
110 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 32 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. C4⋊#14268661 | C2 | semidirect |
| 2. C4×#14268661 | C2 | semidirect |
| 33. D4×C113 | C16 | semidirect |
| 35. D452 | C16 | semidirect |
| 54. C113 | D4⋊C16 | semidirect |
| 80. D4 | #14268661 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊#14268661 | 2 |
| C4×#14268661 | 2 |
| D4×#11744762 | 2 |
| D4⋊C16 | 113 |