Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152152 | C2 | semidirect |
| 3. #19151894 | C2 | semidirect |
| 4. #19151893 | C2 | semidirect |
| 5. #19151876 | C2 | semidirect |
| 6. #19151843 | C2 | semidirect |
| 7. #19151841 | C2 | semidirect |
| 8. #19151801 | C2 | semidirect |
| 9. #19151795 | C2 | semidirect |
| 10. #19151620 | C2 | semidirect |
| 11. #460×C89 | C2 | semidirect |
| 138. C89 | #3254 | semidirect |
| 148. #460 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152152 | 2 |
| #19152146 | 2 |
| #19151894 | 2 |
| #19151893 | 2 |
| #19151876 | 2 |
| #19151843 | 2 |
| #19151841 | 2 |
| #19151801 | 2 |
| #19151795 | 2 |
| #19151620 | 2 |
| #460×C89 | 2 |
| #3254 | 89 |