Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
390 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. #19152153 | C2 | semidirect |
| 3. #19151937 | C2 | semidirect |
| 4. #19151884 | C2 | semidirect |
| 5. #19151878 | C2 | semidirect |
| 6. #19151805 | C2 | semidirect |
| 8. #19151690 | C2 | semidirect |
| 9. SD16×Dic89 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #461×C89 | C2 | semidirect |
| 137. C89 | #3107 | semidirect |
| 144. #461 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| C4×#13083573 | 2 |
| #19151937 | 2 |
| #19151884 | 2 |
| #19151878 | 2 |
| #19151805 | 2 |
| #19151757 | 2 |
| #19151690 | 2 |
| SD16×Dic89 | 2 |
| #19151650 | 2 |
| #461×C89 | 2 |
| #3107 | 89 |