Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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. #16812698 | C4 | semidirect |
| 10. #16812698 | C4 | semidirect |
| 11. #16812690 | C4 | semidirect |
| 12. #16812690 | C4 | semidirect |
| 33. #13182013 | Q8 | semidirect |
| 55. M16×C109 | Q8 | semidirect |
| 115. C109 | #1986 | semidirect |
| 152. M16 | Dic218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295579 | 2 |
| M16×Dic109 | 2 |
| C4×#13182008 | 2 |
| #20294787 | 2 |
| #20294786 | 2 |
| #20294785 | 2 |
| #339×C109 | 2 |
| #1986 | 109 |