Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152229 | C2 | semidirect |
| 3. #19151961 | C2 | semidirect |
| 4. #19151956 | C2 | semidirect |
| 5. #19151951 | C2 | semidirect |
| 6. #19151943 | C2 | semidirect |
| 7. #19151603 | C2 | semidirect |
| 8. #19151597 | C2 | semidirect |
| 9. #19151595 | C2 | semidirect |
| 10. #19151553 | C2 | semidirect |
| 11. C2×#102×C89 | C2 | semidirect |
| 15. #15668011 | C22 | semidirect |
| 18. #15668003 | C22 | semidirect |
| 26. #15667937 | C22 | semidirect |
| 27. #15667937 | C22 | semidirect |
| 28. #15667935 | C22 | semidirect |
| 29. #15667934 | C22 | semidirect |
| 30. #15667934 | C22 | semidirect |
| 33. #15667932 | C22 | semidirect |
| 34. #15667922 | C22 | semidirect |
| 35. C8×Dic89 | C22 | semidirect |
| 136. C89 | #3136 | semidirect |
| 146. C2×#102 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152229 | 2 |
| #19152165 | 2 |
| #19151961 | 2 |
| #19151956 | 2 |
| #19151951 | 2 |
| #19151943 | 2 |
| #19151603 | 2 |
| #19151597 | 2 |
| #19151595 | 2 |
| #19151553 | 2 |
| C2×#102×C89 | 2 |
| #3136 | 89 |