Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
488 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 488 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. #19152152 | C2 | semidirect |
| 3. #19151969 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151799 | C2 | semidirect |
| 6. #19151798 | C2 | semidirect |
| 7. #19151795 | C2 | semidirect |
| 8. #19151750 | C2 | semidirect |
| 9. #19151747 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #460×C89 | C2 | semidirect |
| 15. C2×#13083563 | C22 | semidirect |
| 16. C2×#13083562 | C22 | semidirect |
| 17. C2×#13083561 | C22 | semidirect |
| 18. #15668011 | C22 | semidirect |
| 19. #15668010 | C22 | semidirect |
| 29. C4×Dic178 | C22 | semidirect |
| 32. C4⋊#10623494 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 34. #15667933 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 37. C8×Dic89 | C22 | semidirect |
| 38. C2×SD16×C89 | C22 | semidirect |
| 40. C4×Q8×C89 | C22 | semidirect |
| 41. C4⋊C8×C89 | C22 | semidirect |
| 42. #102×C89 | C22 | semidirect |
| 118. C4×D89 | SD16 | semidirect |
| 153. C89 | #3208 | semidirect |
| 161. #460 | D89 | semidirect |
| 171. C2×SD16 | C2×D89 | semidirect |
| 185. C4×Q8 | C2×D89 | semidirect |
| 189. C4⋊C8 | C2×D89 | semidirect |
| 193. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152152 | 2 |
| #127×D89 | 2 |
| #19151969 | 2 |
| #19151943 | 2 |
| #19151799 | 2 |
| #19151798 | 2 |
| #19151795 | 2 |
| #19151750 | 2 |
| #19151747 | 2 |
| #19151650 | 2 |
| #460×C89 | 2 |
| #3208 | 89 |