Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
396 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152209 | C2 | semidirect |
| 3. #19151972 | C2 | semidirect |
| 4. #19151963 | C2 | semidirect |
| 5. #19151952 | C2 | semidirect |
| 6. #19151822 | C2 | semidirect |
| 7. #19151796 | C2 | semidirect |
| 8. #19151759 | C2 | semidirect |
| 9. #19151747 | C2 | semidirect |
| 10. #19151660 | C2 | semidirect |
| 11. #497×C89 | C2 | semidirect |
| 15. C2×#13083561 | C22 | semidirect |
| 19. #15668004 | C22 | semidirect |
| 25. Q8×Dic89 | C22 | semidirect |
| 27. #15667941 | C22 | semidirect |
| 28. #15667936 | C22 | semidirect |
| 30. #15667934 | C22 | semidirect |
| 33. C4×#10623494 | C22 | semidirect |
| 34. C2×Q16×C89 | C22 | semidirect |
| 36. C4⋊Q8×C89 | C22 | semidirect |
| 38. #97×C89 | C22 | semidirect |
| 123. C89 | #3222 | semidirect |
| 126. #497 | D89 | semidirect |
| 137. C2×Q16 | C2×D89 | semidirect |
| 141. C4⋊Q8 | C2×D89 | semidirect |
| 160. #97 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152209 | 2 |
| #19152166 | 2 |
| #19151972 | 2 |
| #19151963 | 2 |
| #19151952 | 2 |
| #19151822 | 2 |
| #19151796 | 2 |
| #19151759 | 2 |
| #19151747 | 2 |
| #19151660 | 2 |
| #497×C89 | 2 |
| #3222 | 89 |