Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152132 | C2 | semidirect |
| 2. #19152004 | C2 | semidirect |
| 3. #19151985 | C2 | semidirect |
| 4. #19151962 | C2 | semidirect |
| 5. #19151960 | C2 | semidirect |
| 6. #19151832 | C2 | semidirect |
| 7. #19151825 | C2 | semidirect |
| 8. #19151708 | C2 | semidirect |
| 9. #19151698 | C2 | semidirect |
| 10. C2×#15667923 | C2 | semidirect |
| 11. #532×C89 | C2 | semidirect |
| 110. #10623494 | #41 | semidirect |
| 138. C89 | #3180 | semidirect |
| 139. #532 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19152004 | 2 |
| #19151985 | 2 |
| #19151962 | 2 |
| #19151960 | 2 |
| #19151832 | 2 |
| #19151825 | 2 |
| #19151708 | 2 |
| #19151698 | 2 |
| C2×#15667923 | 2 |
| #532×C89 | 2 |
| #3180 | 89 |