Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
230 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 29. #13083558 | Q8 | semidirect |
| 41. C4×Dic89 | Q8 | semidirect |
| 45. M16×C89 | Q8 | semidirect |
| 96. C89 | #2061 | semidirect |
| 129. M16 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152226 | 2 |
| #19151638 | 2 |
| #19151463 | 2 |
| #19151366 | 2 |
| #19151359 | 2 |
| #19151357 | 2 |
| #428×C89 | 2 |
| #2061 | 89 |