Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152203 | C2 | semidirect |
| 2. #19151988 | C2 | semidirect |
| 3. #19151972 | C2 | semidirect |
| 4. #19151966 | C2 | semidirect |
| 5. #19151952 | C2 | semidirect |
| 6. #19151810 | C2 | semidirect |
| 7. #19151800 | C2 | semidirect |
| 8. #19151743 | C2 | semidirect |
| 9. #19151737 | C2 | semidirect |
| 10. #19151659 | C2 | semidirect |
| 11. #536×C89 | C2 | semidirect |
| 121. C89 | #3221 | semidirect |
| 123. #536 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152203 | 2 |
| #19151988 | 2 |
| #19151972 | 2 |
| #19151966 | 2 |
| #19151952 | 2 |
| #19151810 | 2 |
| #19151800 | 2 |
| #19151743 | 2 |
| #19151737 | 2 |
| #19151659 | 2 |
| #536×C89 | 2 |
| #3221 | 89 |