Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
430 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 430 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. #19152143 | C2 | semidirect |
| 2. #19151887 | C2 | semidirect |
| 3. #19151886 | C2 | semidirect |
| 4. #19151851 | C2 | semidirect |
| 5. #19151849 | C2 | semidirect |
| 6. #19151792 | C2 | semidirect |
| 7. #19151791 | C2 | semidirect |
| 8. #19151621 | C2 | semidirect |
| 9. #469×C89 | C2 | semidirect |
| 113. C89 | #3253 | semidirect |
| 119. #469 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| #19151887 | 2 |
| #19151886 | 2 |
| #19151851 | 2 |
| #19151849 | 2 |
| #19151792 | 2 |
| #19151791 | 2 |
| #19151621 | 2 |
| #469×C89 | 2 |
| #3253 | 89 |