Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #19151880 | C2 | semidirect |
| 5. #19151809 | C2 | semidirect |
| 6. #19151808 | C2 | semidirect |
| 8. #19151704 | C2 | semidirect |
| 9. #19151702 | C2 | semidirect |
| 11. #475×C89 | C2 | semidirect |
| 133. C89 | #3113 | semidirect |
| 138. #475 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| C4×Q8×D89 | 2 |
| #19151930 | 2 |
| #19151880 | 2 |
| #19151809 | 2 |
| #19151808 | 2 |
| #19151755 | 2 |
| #19151704 | 2 |
| #19151702 | 2 |
| #19151654 | 2 |
| #475×C89 | 2 |
| #3113 | 89 |