Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19151955 | C2 | semidirect |
| 4. #19151953 | C2 | semidirect |
| 5. #19151952 | C2 | semidirect |
| 6. #19151947 | C2 | semidirect |
| 7. #19151943 | C2 | semidirect |
| 8. #19151593 | C2 | semidirect |
| 9. #19151591 | C2 | semidirect |
| 10. C4×C8×D89 | C2 | semidirect |
| 11. #488×C89 | C2 | semidirect |
| 115. C89 | #3131 | semidirect |
| 121. #488 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152154 | 2 |
| #19152147 | 2 |
| #19151955 | 2 |
| #19151953 | 2 |
| #19151952 | 2 |
| #19151947 | 2 |
| #19151943 | 2 |
| #19151593 | 2 |
| #19151591 | 2 |
| C4×C8×D89 | 2 |
| #488×C89 | 2 |
| #3131 | 89 |