Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
442 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 442 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. #19152164 | C2 | semidirect |
| 2. #19151924 | C2 | semidirect |
| 3. #19151921 | C2 | semidirect |
| 4. #19151851 | C2 | semidirect |
| 5. #19151832 | C2 | semidirect |
| 6. #19151733 | C2 | semidirect |
| 7. #19151730 | C2 | semidirect |
| 8. #19151566 | C2 | semidirect |
| 9. #469×C89 | C2 | semidirect |
| 11. C2×D4×D89 | C22 | semidirect |
| 14. C22×#10623494 | C22 | semidirect |
| 18. #15667986 | C22 | semidirect |
| 22. #15667970 | C22 | semidirect |
| 23. #15667945 | C22 | semidirect |
| 24. #15667944 | C22 | semidirect |
| 25. #15667934 | C22 | semidirect |
| 26. #15667933 | C22 | semidirect |
| 27. #15667932 | C22 | semidirect |
| 28. #15667924 | C22 | semidirect |
| 29. #15667924 | C22 | semidirect |
| 31. C2×M16×C89 | C22 | semidirect |
| 32. #121×C89 | C22 | semidirect |
| 33. #106×C89 | C22 | semidirect |
| 34. #102×C89 | C22 | semidirect |
| 125. C89 | #3199 | semidirect |
| 130. #469 | D89 | semidirect |
| 140. C2×M16 | C2×D89 | semidirect |
| 147. #121 | C2×D89 | semidirect |
| 153. #106 | C2×D89 | semidirect |
| 157. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152164 | 2 |
| #19151924 | 2 |
| #19151921 | 2 |
| #19151851 | 2 |
| #19151832 | 2 |
| #19151733 | 2 |
| #19151730 | 2 |
| #19151566 | 2 |
| #469×C89 | 2 |
| #3199 | 89 |