Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
252 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19151652 | C2 | semidirect |
| 3. #19151465 | C2 | semidirect |
| 4. #19151333 | C2 | semidirect |
| 5. #19151332 | C2 | semidirect |
| 6. #19151331 | C2 | semidirect |
| 7. #327×C89 | C2 | semidirect |
| 9. #15668011 | C4 | semidirect |
| 10. #15668008 | C4 | semidirect |
| 14. D4×Dic89 | C4 | semidirect |
| 15. #15667974 | C4 | semidirect |
| 119. C89 | #1514 | semidirect |
| 126. #327 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| #19151652 | 2 |
| #19151465 | 2 |
| #19151333 | 2 |
| #19151332 | 2 |
| #19151331 | 2 |
| #327×C89 | 2 |
| #1514 | 89 |