Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 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. #19152308 | C2 | semidirect |
| 3. #19151949 | C2 | semidirect |
| 4. #19151930 | C2 | semidirect |
| 5. #19151888 | C2 | semidirect |
| 6. #19151855 | C2 | semidirect |
| 7. #19151808 | C2 | semidirect |
| 8. #19151757 | C2 | semidirect |
| 9. #19151677 | C2 | semidirect |
| 10. #19151596 | C2 | semidirect |
| 11. C4×SD16×C89 | C2 | semidirect |
| 127. C89 | #3331 | semidirect |
| 136. C4×SD16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152308 | 2 |
| #19152252 | 2 |
| #19151949 | 2 |
| #19151930 | 2 |
| #19151888 | 2 |
| #19151855 | 2 |
| #19151808 | 2 |
| #19151757 | 2 |
| #19151677 | 2 |
| #19151596 | 2 |
| C4×SD16×C89 | 2 |
| #3331 | 89 |