Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
326 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 45. #13083564 | Q8 | semidirect |
| 111. C89 | #3387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic178 | 2 |
| #19152323 | 2 |
| #19152005 | 2 |
| #19151994 | 2 |
| #19151907 | 2 |
| #19151894 | 2 |
| #19151882 | 2 |
| #19151725 | 2 |
| #19151702 | 2 |
| C4×#13083564 | 2 |
| #475×C89 | 2 |
| #3387 | 89 |