Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 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. #19151995 | C2 | semidirect |
| 4. #19151947 | C2 | semidirect |
| 7. #19151884 | C2 | semidirect |
| 8. #19151883 | C2 | semidirect |
| 9. #19151880 | C2 | semidirect |
| 11. #475×C89 | C2 | semidirect |
| 129. C89 | #3229 | semidirect |
| 139. #475 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152152 | 2 |
| C4⋊Q8×D89 | 2 |
| #19151995 | 2 |
| #19151947 | 2 |
| #19151930 | 2 |
| #19151927 | 2 |
| #19151884 | 2 |
| #19151883 | 2 |
| #19151880 | 2 |
| #19151650 | 2 |
| #475×C89 | 2 |
| #3229 | 89 |