Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 362 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. #19152209 | C2 | semidirect |
| 3. #19151997 | C2 | semidirect |
| 4. #19151972 | C2 | semidirect |
| 5. #19151963 | C2 | semidirect |
| 6. #19151847 | C2 | semidirect |
| 7. #19151830 | C2 | semidirect |
| 8. #19151701 | C2 | semidirect |
| 9. #19151683 | C2 | semidirect |
| 10. #19151555 | C2 | semidirect |
| 11. #491×C89 | C2 | semidirect |
| 109. C89 | #3174 | semidirect |
| 114. #491 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152209 | 2 |
| #19152204 | 2 |
| #19151997 | 2 |
| #19151972 | 2 |
| #19151963 | 2 |
| #19151847 | 2 |
| #19151830 | 2 |
| #19151701 | 2 |
| #19151683 | 2 |
| #19151555 | 2 |
| #491×C89 | 2 |
| #3174 | 89 |