Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 127 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. #117×D89 | C2 | semidirect |
| 3. #19151925 | C2 | semidirect |
| 4. #19151924 | C2 | semidirect |
| 5. #19151918 | C2 | semidirect |
| 6. #19151913 | C2 | semidirect |
| 7. #19151638 | C2 | semidirect |
| 8. #19151604 | C2 | semidirect |
| 9. #19151602 | C2 | semidirect |
| 10. #19151561 | C2 | semidirect |
| 11. #428×C89 | C2 | semidirect |
| 21. #15667970 | C22 | semidirect |
| 22. #15667970 | C22 | semidirect |
| 25. C4⋊C4×D89 | C22 | semidirect |
| 26. C4⋊C4×D89 | C22 | semidirect |
| 30. #15667945 | C22 | semidirect |
| 31. #15667943 | C22 | semidirect |
| 32. #15667934 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 34. #15667932 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 36. #15667924 | C22 | semidirect |
| 37. #15667924 | C22 | semidirect |
| 41. #107×C89 | C22 | semidirect |
| 42. #106×C89 | C22 | semidirect |
| 156. C89 | #3094 | semidirect |
| 164. #428 | D89 | semidirect |
| 190. #107 | C2×D89 | semidirect |
| 192. #106 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667987 | 2 |
| #117×D89 | 2 |
| #19151925 | 2 |
| #19151924 | 2 |
| #19151918 | 2 |
| #19151913 | 2 |
| #19151638 | 2 |
| #19151604 | 2 |
| #19151602 | 2 |
| #19151561 | 2 |
| #428×C89 | 2 |
| #3094 | 89 |