Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #19151977 | C2 | semidirect |
| 5. #19151808 | C2 | semidirect |
| 6. #19151805 | C2 | semidirect |
| 8. #19151729 | C2 | semidirect |
| 9. #19151703 | C2 | semidirect |
| 11. #557×C89 | C2 | semidirect |
| 120. C89 | #3398 | semidirect |
| 121. #557 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152321 | 2 |
| #19151990 | 2 |
| #19151977 | 2 |
| #19151820 | 2 |
| #19151808 | 2 |
| #19151805 | 2 |
| #19151800 | 2 |
| #19151729 | 2 |
| #19151703 | 2 |
| C4×#13083561 | 2 |
| #557×C89 | 2 |
| #3398 | 89 |