Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152132 | C2 | semidirect |
| 2. #19151980 | C2 | semidirect |
| 3. #19151952 | C2 | semidirect |
| 4. #19151805 | C2 | semidirect |
| 5. #19151800 | C2 | semidirect |
| 6. #19151795 | C2 | semidirect |
| 7. #19151790 | C2 | semidirect |
| 8. #19151760 | C2 | semidirect |
| 9. #19151743 | C2 | semidirect |
| 10. #19151651 | C2 | semidirect |
| 11. #532×C89 | C2 | semidirect |
| 145. C89 | #3212 | semidirect |
| 146. #532 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151980 | 2 |
| #19151952 | 2 |
| #19151805 | 2 |
| #19151800 | 2 |
| #19151795 | 2 |
| #19151790 | 2 |
| #19151760 | 2 |
| #19151743 | 2 |
| #19151651 | 2 |
| #532×C89 | 2 |
| #3212 | 89 |