Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
244 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 83 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. #16813621 | C4 | semidirect |
| 10. #16813613 | C4 | semidirect |
| 37. C4×Dic113 | Q8 | semidirect |
| 47. C42×C113 | Q8 | semidirect |
| 86. C113 | #1995 | semidirect |
| 133. C42 | Dic226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299151 | 2 |
| #20298621 | 2 |
| #20298444 | 2 |
| #20298359 | 2 |
| #20298358 | 2 |
| #20298357 | 2 |
| #339×C113 | 2 |
| #1995 | 113 |