Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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. #19152210 | C2 | semidirect |
| 3. #19152000 | C2 | semidirect |
| 4. #19151971 | C2 | semidirect |
| 5. #19151967 | C2 | semidirect |
| 6. #19151963 | C2 | semidirect |
| 7. #19151844 | C2 | semidirect |
| 8. #19151827 | C2 | semidirect |
| 9. #19151700 | C2 | semidirect |
| 10. C4×#13083563 | C2 | semidirect |
| 11. #405×C89 | C2 | semidirect |
| 109. C89 | #3174 | semidirect |
| 120. #405 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152210 | 2 |
| #19152203 | 2 |
| #19152000 | 2 |
| #19151971 | 2 |
| #19151967 | 2 |
| #19151963 | 2 |
| #19151844 | 2 |
| #19151827 | 2 |
| #19151700 | 2 |
| C4×#13083563 | 2 |
| #405×C89 | 2 |
| #3174 | 89 |