Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152146 | C2 | semidirect |
| 2. #19152135 | C2 | semidirect |
| 3. #19151979 | C2 | semidirect |
| 4. #19151951 | C2 | semidirect |
| 5. #19151808 | C2 | semidirect |
| 6. #19151804 | C2 | semidirect |
| 7. #19151790 | C2 | semidirect |
| 8. #19151757 | C2 | semidirect |
| 9. #19151744 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #460×C89 | C2 | semidirect |
| 145. C89 | #3212 | semidirect |
| 152. #460 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| #19152135 | 2 |
| #19151979 | 2 |
| #19151951 | 2 |
| #19151808 | 2 |
| #19151804 | 2 |
| #19151790 | 2 |
| #19151757 | 2 |
| #19151744 | 2 |
| #19151650 | 2 |
| #460×C89 | 2 |
| #3212 | 89 |