Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
232 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 12. #16812634 | C4 | semidirect |
| 13. #16812632 | C4 | semidirect |
| 14. #16812630 | C4 | semidirect |
| 17. C8×Dic109 | C4 | semidirect |
| 80. C109 | #1772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812634 | 2 |
| #20295062 | 2 |
| #20294981 | 2 |
| C2×C8×Dic109 | 2 |
| #20294787 | 2 |
| #20294785 | 2 |
| #405×C109 | 2 |
| #1772 | 109 |