Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
114 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 26 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 |
|---|---|---|
| 1. #20295923 | C2 | semidirect |
| 2. #20295894 | C2 | semidirect |
| 8. #16812631 | C4 | semidirect |
| 10. C2×D8×C109 | C4 | semidirect |
| 53. C109 | #1339 | semidirect |
| 57. C2×D8 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295923 | 2 |
| #20295894 | 2 |
| #20295276 | 2 |
| #1339 | 109 |