Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
444 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19152149 | C2 | semidirect |
| 2. #124×D89 | C2 | semidirect |
| 3. #19151988 | C2 | semidirect |
| 4. #19151987 | C2 | semidirect |
| 5. #19151960 | C2 | semidirect |
| 6. #19151816 | C2 | semidirect |
| 7. #19151812 | C2 | semidirect |
| 8. #19151738 | C2 | semidirect |
| 9. #19151733 | C2 | semidirect |
| 10. #19151653 | C2 | semidirect |
| 11. #489×C89 | C2 | semidirect |
| 15. C2×#13083563 | C22 | semidirect |
| 16. C2×#13083561 | C22 | semidirect |
| 19. #15668009 | C22 | semidirect |
| 29. #15667974 | C22 | semidirect |
| 33. #15667941 | C22 | semidirect |
| 34. #15667935 | C22 | semidirect |
| 37. #15667923 | C22 | semidirect |
| 38. C4⋊Q8×C89 | C22 | semidirect |
| 40. #103×C89 | C22 | semidirect |
| 42. #97×C89 | C22 | semidirect |
| 151. C89 | #3213 | semidirect |
| 157. #489 | D89 | semidirect |
| 170. C4⋊Q8 | C2×D89 | semidirect |
| 188. #103 | C2×D89 | semidirect |
| 193. #97 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| #124×D89 | 2 |
| #19151988 | 2 |
| #19151987 | 2 |
| #19151960 | 2 |
| #19151816 | 2 |
| #19151812 | 2 |
| #19151738 | 2 |
| #19151733 | 2 |
| #19151653 | 2 |
| #489×C89 | 2 |
| #3213 | 89 |