Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#15668034 | C2 | semidirect |
| 2. C2×#15668031 | C2 | semidirect |
| 3. #19152266 | C2 | semidirect |
| 4. #19151973 | C2 | semidirect |
| 5. #19151835 | C2 | semidirect |
| 6. #19151797 | C2 | semidirect |
| 7. #19151744 | C2 | semidirect |
| 8. #19151741 | C2 | semidirect |
| 9. #19151692 | C2 | semidirect |
| 10. C8×C22⋊D89 | C2 | semidirect |
| 11. #466×C89 | C2 | semidirect |
| 56. Dic356 | D4 | semidirect |
| 134. Dic89 | #135 | semidirect |
| 143. C89 | #3287 | semidirect |
| 149. #466 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668034 | 2 |
| C2×#15668031 | 2 |
| #19152266 | 2 |
| #19151973 | 2 |
| #19151835 | 2 |
| #19151797 | 2 |
| #19151744 | 2 |
| #19151741 | 2 |
| #19151692 | 2 |
| C8×C22⋊D89 | 2 |
| #466×C89 | 2 |
| #3287 | 89 |