Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152328 | C2 | semidirect |
| 5. #19151881 | C2 | semidirect |
| 7. #19151805 | C2 | semidirect |
| 8. #19151728 | C2 | semidirect |
| 9. #19151702 | C2 | semidirect |
| 11. #487×C89 | C2 | semidirect |
| 117. C89 | #3369 | semidirect |
| 121. #487 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152328 | 2 |
| #19152322 | 2 |
| #19151959 | 2 |
| #19151885 | 2 |
| #19151881 | 2 |
| #19151823 | 2 |
| #19151805 | 2 |
| #19151728 | 2 |
| #19151702 | 2 |
| C4×#13083563 | 2 |
| #487×C89 | 2 |
| #3369 | 89 |