Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 2. C4⋊Q8×D89 | C2 | semidirect |
| 3. #19151995 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151918 | C2 | semidirect |
| 6. #19151915 | C2 | semidirect |
| 7. #19151889 | C2 | semidirect |
| 8. #19151888 | C2 | semidirect |
| 9. #19151885 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #476×C89 | C2 | semidirect |
| 142. C89 | #3227 | semidirect |
| 152. #476 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152145 | 2 |
| C4⋊Q8×D89 | 2 |
| #19151995 | 2 |
| #19151943 | 2 |
| #19151918 | 2 |
| #19151915 | 2 |
| #19151889 | 2 |
| #19151888 | 2 |
| #19151885 | 2 |
| #19151650 | 2 |
| #476×C89 | 2 |
| #3227 | 89 |