Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
194 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 51. Q8×C113 | Q16 | semidirect |
| 84. C113 | #1648 | semidirect |
| 139. Q8 | #14268637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299327 | 2 |
| #20299001 | 2 |
| #20298805 | 2 |
| #20298343 | 2 |
| Q8⋊#11744751 | 2 |
| #20298328 | 2 |
| #475×C113 | 2 |
| #1648 | 113 |