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. #19151990 | C2 | semidirect |
| 4. #19151962 | C2 | semidirect |
| 5. #19151953 | C2 | semidirect |
| 6. #19151818 | C2 | semidirect |
| 7. #19151796 | C2 | semidirect |
| 8. #19151757 | C2 | semidirect |
| 9. #19151747 | C2 | semidirect |
| 10. #19151657 | C2 | semidirect |
| 11. #492×C89 | C2 | semidirect |
| 14. C2×#13083564 | C22 | semidirect |
| 18. #15668004 | C22 | semidirect |
| 25. Q8×Dic89 | C22 | semidirect |
| 27. #15667941 | C22 | semidirect |
| 28. #15667937 | C22 | semidirect |
| 31. #15667933 | C22 | semidirect |
| 33. #15667923 | C22 | semidirect |
| 35. C2×SD16×C89 | C22 | semidirect |
| 36. C4⋊Q8×C89 | C22 | semidirect |
| 38. C4×C8×C89 | C22 | semidirect |
| 123. C89 | #3222 | semidirect |
| 127. #492 | D89 | semidirect |
| 140. C2×SD16 | C2×D89 | semidirect |
| 141. C4⋊Q8 | C2×D89 | semidirect |
| 161. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152209 | 2 |
| #19152161 | 2 |
| #19151990 | 2 |
| #19151962 | 2 |
| #19151953 | 2 |
| #19151818 | 2 |
| #19151796 | 2 |
| #19151757 | 2 |
| #19151747 | 2 |
| #19151657 | 2 |
| #492×C89 | 2 |
| #3222 | 89 |