Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
396 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152127 | C2 | semidirect |
| 3. #19151993 | C2 | semidirect |
| 4. #19151967 | C2 | semidirect |
| 5. #19151962 | C2 | semidirect |
| 6. #19151818 | C2 | semidirect |
| 7. #19151811 | C2 | semidirect |
| 8. #19151757 | C2 | semidirect |
| 9. #19151740 | C2 | semidirect |
| 10. #19151653 | C2 | semidirect |
| 11. #496×C89 | C2 | semidirect |
| 141. C89 | #3219 | semidirect |
| 145. #496 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| #19152127 | 2 |
| #19151993 | 2 |
| #19151967 | 2 |
| #19151962 | 2 |
| #19151818 | 2 |
| #19151811 | 2 |
| #19151757 | 2 |
| #19151740 | 2 |
| #19151653 | 2 |
| #496×C89 | 2 |
| #3219 | 89 |