Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
332 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 1. #20295793 | C2 | semidirect |
| 3. #20295044 | C2 | semidirect |
| 4. #20294785 | C2 | semidirect |
| 5. #410×C109 | C2 | semidirect |
| 10. #16812697 | C4 | semidirect |
| 11. #16812695 | C4 | semidirect |
| 12. #16812688 | C4 | semidirect |
| 13. #16812686 | C4 | semidirect |
| 31. #13182013 | D4 | semidirect |
| 96. C109 | #1884 | semidirect |
| 100. #410 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295793 | 2 |
| #20295572 | 2 |
| #20295044 | 2 |
| #20294785 | 2 |
| #410×C109 | 2 |
| #1884 | 109 |