Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
412 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 412 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. #125×D89 | C2 | semidirect |
| 3. #19151955 | C2 | semidirect |
| 4. #19151954 | C2 | semidirect |
| 5. #19151953 | C2 | semidirect |
| 6. #19151952 | C2 | semidirect |
| 7. #19151951 | C2 | semidirect |
| 8. #103×D89 | C2 | semidirect |
| 10. C4×C8×D89 | C2 | semidirect |
| 11. #488×C89 | C2 | semidirect |
| 15. #15668004 | C22 | semidirect |
| 16. #15668003 | C22 | semidirect |
| 26. #15667937 | C22 | semidirect |
| 27. #15667936 | C22 | semidirect |
| 28. #15667935 | C22 | semidirect |
| 32. C4×#10623494 | C22 | semidirect |
| 33. C8×Dic89 | C22 | semidirect |
| 34. #125×C89 | C22 | semidirect |
| 36. #103×C89 | C22 | semidirect |
| 38. C4×C8×C89 | C22 | semidirect |
| 114. D89 | #488 | direct (N × H) |
| 116. C89 | C2×#488 | semidirect |
| 124. #488 | D89 | direct (N × H) |
| 134. #125 | C2×D89 | semidirect |
| 147. #103 | C2×D89 | semidirect |
| 154. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #125×D89 | 2 |
| #124×D89 | 2 |
| #19151955 | 2 |
| #19151954 | 2 |
| #19151953 | 2 |
| #19151952 | 2 |
| #19151951 | 2 |
| #103×D89 | 2 |
| #102×D89 | 2 |
| C4×C8×D89 | 2 |
| #488×C89 | 2 |
| C2×#488 | 89 |