Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
326 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 62. Q16×C89 | Q8 | semidirect |
| 111. C89 | #3387 | semidirect |
| 158. Q16 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic178 | 2 |
| #19152327 | 2 |
| #19152006 | 2 |
| #19151996 | 2 |
| #19151903 | 2 |
| #19151893 | 2 |
| #19151883 | 2 |
| #19151881 | 2 |
| #19151728 | 2 |
| #19151705 | 2 |
| C4×Q16×C89 | 2 |
| #3387 | 89 |