Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
366 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19152154 | C2 | semidirect |
| 3. #19152004 | C2 | semidirect |
| 4. #19151964 | C2 | semidirect |
| 5. #19151963 | C2 | semidirect |
| 6. #19151925 | C2 | semidirect |
| 7. #19151924 | C2 | semidirect |
| 8. #19151887 | C2 | semidirect |
| 9. #19151877 | C2 | semidirect |
| 10. #19151653 | C2 | semidirect |
| 11. #501×C89 | C2 | semidirect |
| 129. C89 | #3235 | semidirect |
| 133. #501 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152154 | 2 |
| #19152149 | 2 |
| #19152004 | 2 |
| #19151964 | 2 |
| #19151963 | 2 |
| #19151925 | 2 |
| #19151924 | 2 |
| #19151887 | 2 |
| #19151877 | 2 |
| #19151653 | 2 |
| #501×C89 | 2 |
| #3235 | 89 |