Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
400 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152151 | C2 | semidirect |
| 3. #19151954 | C2 | semidirect |
| 4. #19151951 | C2 | semidirect |
| 5. #19151947 | C2 | semidirect |
| 6. #19151943 | C2 | semidirect |
| 7. #19151595 | C2 | semidirect |
| 8. #19151594 | C2 | semidirect |
| 9. #19151592 | C2 | semidirect |
| 10. C2×C8×Dic89 | C2 | semidirect |
| 11. #416×C89 | C2 | semidirect |
| 126. C89 | #3131 | semidirect |
| 136. #416 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| #19152144 | 2 |
| #19151954 | 2 |
| #19151951 | 2 |
| #19151947 | 2 |
| #19151943 | 2 |
| #19151595 | 2 |
| #19151594 | 2 |
| #19151592 | 2 |
| C2×C8×Dic89 | 2 |
| #416×C89 | 2 |
| #3131 | 89 |