Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
354 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152308 | C2 | semidirect |
| 3. #19152001 | C2 | semidirect |
| 4. #19151937 | C2 | semidirect |
| 5. #19151913 | C2 | semidirect |
| 6. #19151889 | C2 | semidirect |
| 7. #19151847 | C2 | semidirect |
| 8. C4×#13083561 | C2 | semidirect |
| 9. #19151675 | C2 | semidirect |
| 10. #19151639 | C2 | semidirect |
| 11. #477×C89 | C2 | semidirect |
| 122. C89 | #3357 | semidirect |
| 128. #477 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152314 | 2 |
| #19152308 | 2 |
| #19152001 | 2 |
| #19151937 | 2 |
| #19151913 | 2 |
| #19151889 | 2 |
| #19151847 | 2 |
| C4×#13083561 | 2 |
| #19151675 | 2 |
| #19151639 | 2 |
| #477×C89 | 2 |
| #3357 | 89 |