Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 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. #19152309 | C2 | semidirect |
| 3. #19151946 | C2 | semidirect |
| 4. #19151918 | C2 | semidirect |
| 5. #19151828 | C2 | semidirect |
| 6. #19151799 | C2 | semidirect |
| 7. #19151750 | C2 | semidirect |
| 8. C4×#13083562 | C2 | semidirect |
| 9. #19151663 | C2 | semidirect |
| 10. #102×D89 | C2 | semidirect |
| 11. #476×C89 | C2 | semidirect |
| 14. C2×#13083563 | C22 | semidirect |
| 16. C2×C8×D89 | C22 | semidirect |
| 19. #15667992 | C22 | semidirect |
| 24. C4×Dic178 | C22 | semidirect |
| 27. C4⋊C4×D89 | C22 | semidirect |
| 28. #15667943 | C22 | semidirect |
| 29. #15667935 | C22 | semidirect |
| 30. #15667934 | C22 | semidirect |
| 32. #15667932 | C22 | semidirect |
| 33. #15667932 | C22 | semidirect |
| 34. #15667924 | C22 | semidirect |
| 35. C4×#10623494 | C22 | semidirect |
| 36. C4⋊Q8×C89 | C22 | semidirect |
| 38. #106×C89 | C22 | semidirect |
| 39. C4⋊C8×C89 | C22 | semidirect |
| 101. D356 | SD16 | semidirect |
| 137. C89 | #3295 | semidirect |
| 142. #476 | D89 | semidirect |
| 154. C4⋊Q8 | C2×D89 | semidirect |
| 168. #106 | C2×D89 | semidirect |
| 169. C4⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152309 | 2 |
| D4×D356 | 2 |
| #19151946 | 2 |
| #19151918 | 2 |
| #19151828 | 2 |
| #19151799 | 2 |
| #19151750 | 2 |
| C4×#13083562 | 2 |
| #19151663 | 2 |
| #102×D89 | 2 |
| #476×C89 | 2 |
| #3295 | 89 |