Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152323 | C2 | semidirect |
| 3. #19151989 | C2 | semidirect |
| 4. #19151818 | C2 | semidirect |
| 5. #19151805 | C2 | semidirect |
| 6. #19151801 | C2 | semidirect |
| 8. #19151728 | C2 | semidirect |
| 9. #19151699 | C2 | semidirect |
| 10. C4×Dic356 | C2 | semidirect |
| 122. C89 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152334 | 2 |
| #19152323 | 2 |
| #19151989 | 2 |
| #19151818 | 2 |
| #19151805 | 2 |
| #19151801 | 2 |
| #19151795 | 2 |
| #19151728 | 2 |
| #19151699 | 2 |
| C4×Dic356 | 2 |
| #492×C89 | 2 |
| #3400 | 89 |