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. #19152150 | C2 | semidirect |
| 3. #19151969 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151797 | C2 | semidirect |
| 6. #19151796 | C2 | semidirect |
| 7. #19151751 | C2 | semidirect |
| 8. #19151749 | C2 | semidirect |
| 9. #19151748 | C2 | semidirect |
| 10. #19151648 | C2 | semidirect |
| 11. #450×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 |
| 27. Q8×Dic89 | C22 | semidirect |
| 29. #15667977 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 34. #15667933 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 37. C8×Dic89 | C22 | semidirect |
| 39. C2×SD16×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 111. C2×Dic89 | SD16 | semidirect |
| 152. C89 | #3208 | semidirect |
| 162. #450 | D89 | semidirect |
| 171. C2×SD16 | C2×D89 | semidirect |
| 191. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| C2×#15668008 | 2 |
| #19151969 | 2 |
| #19151943 | 2 |
| #19151797 | 2 |
| #19151796 | 2 |
| #19151751 | 2 |
| #19151749 | 2 |
| #19151748 | 2 |
| #19151648 | 2 |
| #450×C89 | 2 |
| #3208 | 89 |