Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 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. #19152132 | C2 | semidirect |
| 2. #19151985 | C2 | semidirect |
| 3. #19151962 | C2 | semidirect |
| 4. #19151795 | C2 | semidirect |
| 5. #19151790 | C2 | semidirect |
| 6. #19151749 | C2 | semidirect |
| 7. #19151732 | C2 | semidirect |
| 8. #19151655 | C2 | semidirect |
| 9. C2×#127×C89 | C2 | semidirect |
| 10. C2×#13083562 | C22 | semidirect |
| 11. C2×#13083559 | C22 | semidirect |
| 13. #15668004 | C22 | semidirect |
| 14. #15668000 | C22 | semidirect |
| 18. C4×Dic178 | C22 | semidirect |
| 19. C4×D356 | C22 | semidirect |
| 22. C4⋊#10623494 | C22 | semidirect |
| 23. #15667933 | C22 | semidirect |
| 24. #15667933 | C22 | semidirect |
| 26. #15667923 | C22 | semidirect |
| 128. C89 | #3217 | semidirect |
| 129. C2×#127 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151985 | 2 |
| #19151962 | 2 |
| #19151795 | 2 |
| #19151790 | 2 |
| #19151749 | 2 |
| #19151732 | 2 |
| #19151655 | 2 |
| C2×#127×C89 | 2 |
| #3217 | 89 |