Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
176 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 64 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. #20299647 | C2 | semidirect |
| 3. #20299462 | C2 | semidirect |
| 4. #20299448 | C2 | semidirect |
| 6. #20299439 | C2 | semidirect |
| 31. #14268635 | C8 | semidirect |
| 53. Dic226 | C2×C8 | semidirect |
| 60. #11744751 | C2×C8 | semidirect |
| 78. C113 | SD16⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299647 | 2 |
| D4×#11744753 | 2 |
| #20299462 | 2 |
| #20299448 | 2 |
| D4⋊#11744753 | 2 |
| #20299439 | 2 |
| #20298689 | 2 |
| SD16⋊C8 | 113 |