Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #20295036 | C2 | semidirect |
| 4. #20294787 | C2 | semidirect |
| 8. #16812686 | C4 | semidirect |
| 21. C2×Dic218 | C2×C4 | semidirect |
| 31. C4×Dic109 | C2×C4 | semidirect |
| 81. C109 | #1885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812686 | 2 |
| #20295501 | 2 |
| #20295036 | 2 |
| #20294787 | 2 |
| C2×#100×C109 | 2 |
| #1885 | 109 |