Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
222 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 2. #20295080 | C2 | semidirect |
| 3. #20294890 | C2 | semidirect |
| 4. #20294764 | C2 | semidirect |
| 5. #20294762 | C2 | semidirect |
| 9. #16812690 | C4 | semidirect |
| 10. #16812686 | C4 | semidirect |
| 13. #16812664 | C4 | semidirect |
| 15. D4×Dic109 | C4 | semidirect |
| 109. C109 | #1512 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295557 | 2 |
| #20295080 | 2 |
| #20294890 | 2 |
| #20294764 | 2 |
| #20294762 | 2 |
| #20294760 | 2 |
| #327×C109 | 2 |
| #1512 | 109 |