Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 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 |
|---|---|---|
| 2. #19152305 | C2 | semidirect |
| 3. #19152003 | C2 | semidirect |
| 4. #19151940 | C2 | semidirect |
| 5. #19151912 | C2 | semidirect |
| 6. #19151894 | C2 | semidirect |
| 7. #19151889 | C2 | semidirect |
| 8. #19151844 | C2 | semidirect |
| 9. C4×#13083563 | C2 | semidirect |
| 10. #19151640 | C2 | semidirect |
| 11. #436×C89 | C2 | semidirect |
| 122. C89 | #3357 | semidirect |
| 132. #436 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152313 | 2 |
| #19152305 | 2 |
| #19152003 | 2 |
| #19151940 | 2 |
| #19151912 | 2 |
| #19151894 | 2 |
| #19151889 | 2 |
| #19151844 | 2 |
| C4×#13083563 | 2 |
| #19151640 | 2 |
| #436×C89 | 2 |
| #3357 | 89 |