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. #19152211 | C2 | semidirect |
| 3. #19151993 | C2 | semidirect |
| 4. #19151971 | C2 | semidirect |
| 5. #19151964 | C2 | semidirect |
| 6. #19151823 | C2 | semidirect |
| 7. #19151797 | C2 | semidirect |
| 8. #19151763 | C2 | semidirect |
| 9. #19151750 | C2 | semidirect |
| 10. #19151657 | C2 | semidirect |
| 11. #488×C89 | C2 | semidirect |
| 14. C2×#13083564 | C22 | semidirect |
| 16. C2×#13083563 | C22 | semidirect |
| 18. #15668012 | C22 | semidirect |
| 27. #15667977 | C22 | semidirect |
| 29. #15667941 | C22 | semidirect |
| 31. #15667932 | C22 | semidirect |
| 33. #15667923 | C22 | semidirect |
| 34. #125×C89 | C22 | semidirect |
| 36. #103×C89 | C22 | semidirect |
| 38. C4×C8×C89 | C22 | semidirect |
| 123. C89 | #3222 | semidirect |
| 129. #488 | D89 | semidirect |
| 146. #125 | C2×D89 | semidirect |
| 155. #103 | 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 |
|---|---|
| #19152211 | 2 |
| #19152166 | 2 |
| #19151993 | 2 |
| #19151971 | 2 |
| #19151964 | 2 |
| #19151823 | 2 |
| #19151797 | 2 |
| #19151763 | 2 |
| #19151750 | 2 |
| #19151657 | 2 |
| #488×C89 | 2 |
| #3222 | 89 |