Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #19152079 | C2 | semidirect |
| 3. #19151925 | C2 | semidirect |
| 4. #19151924 | C2 | semidirect |
| 5. #19151918 | C2 | semidirect |
| 6. #19151913 | C2 | semidirect |
| 7. #19151634 | C2 | semidirect |
| 8. #19151604 | C2 | semidirect |
| 9. C2×#15667932 | C2 | semidirect |
| 10. #19151566 | C2 | semidirect |
| 11. #428×C89 | C2 | semidirect |
| 24. #15667970 | C22 | semidirect |
| 25. C4⋊C4×D89 | C22 | semidirect |
| 26. #15667945 | C22 | semidirect |
| 27. #15667945 | C22 | semidirect |
| 28. #15667943 | C22 | semidirect |
| 29. #15667943 | C22 | semidirect |
| 34. #15667924 | C22 | semidirect |
| 35. #15667924 | C22 | semidirect |
| 39. #107×C89 | C22 | semidirect |
| 40. #106×C89 | C22 | semidirect |
| 135. C89 | #3096 | semidirect |
| 142. #428 | D89 | semidirect |
| 166. #107 | C2×D89 | semidirect |
| 169. #106 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152167 | 2 |
| #19152079 | 2 |
| #19151925 | 2 |
| #19151924 | 2 |
| #19151918 | 2 |
| #19151913 | 2 |
| #19151634 | 2 |
| #19151604 | 2 |
| C2×#15667932 | 2 |
| #19151566 | 2 |
| #428×C89 | 2 |
| #3096 | 89 |