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. #19152148 | C2 | semidirect |
| 2. #19152008 | C2 | semidirect |
| 3. #19151988 | C2 | semidirect |
| 4. #19151964 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151832 | C2 | semidirect |
| 7. #19151829 | C2 | semidirect |
| 8. #19151708 | C2 | semidirect |
| 9. #19151696 | C2 | semidirect |
| 10. C2×#15667923 | C2 | semidirect |
| 11. #529×C89 | C2 | semidirect |
| 110. #10623494 | #41 | semidirect |
| 138. C89 | #3180 | semidirect |
| 140. #529 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152148 | 2 |
| #19152008 | 2 |
| #19151988 | 2 |
| #19151964 | 2 |
| #19151957 | 2 |
| #19151832 | 2 |
| #19151829 | 2 |
| #19151708 | 2 |
| #19151696 | 2 |
| C2×#15667923 | 2 |
| #529×C89 | 2 |
| #3180 | 89 |