Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #19151882 | C2 | semidirect |
| 4. #19151880 | C2 | semidirect |
| 7. #19151809 | C2 | semidirect |
| 8. #19151808 | C2 | semidirect |
| 9. #19151807 | C2 | semidirect |
| 11. #475×C89 | C2 | semidirect |
| 130. C89 | #3255 | semidirect |
| 135. #475 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152152 | 2 |
| #19151882 | 2 |
| #19151880 | 2 |
| #19151857 | 2 |
| #19151855 | 2 |
| #19151809 | 2 |
| #19151808 | 2 |
| #19151807 | 2 |
| #19151620 | 2 |
| #475×C89 | 2 |
| #3255 | 89 |