Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
336 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152327 | C2 | semidirect |
| 4. #19151949 | C2 | semidirect |
| 5. #19151908 | C2 | semidirect |
| 8. #19151808 | C2 | semidirect |
| 9. C8×Dic178 | C2 | semidirect |
| 10. #19151690 | C2 | semidirect |
| 116. C89 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152327 | 2 |
| #19152318 | 2 |
| #19151951 | 2 |
| #19151949 | 2 |
| #19151908 | 2 |
| #19151878 | 2 |
| #19151818 | 2 |
| #19151808 | 2 |
| C8×Dic178 | 2 |
| #19151690 | 2 |
| C4×SD16×C89 | 2 |
| #3364 | 89 |