Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
514 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 514 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. C2×#15667986 | C2 | semidirect |
| 2. #19151916 | C2 | semidirect |
| 3. #19151914 | C2 | semidirect |
| 4. #19151849 | C2 | semidirect |
| 5. #19151732 | C2 | semidirect |
| 6. #19151731 | C2 | semidirect |
| 7. #19151562 | C2 | semidirect |
| 8. C2×#121×C89 | C2 | semidirect |
| 9. C22×D356 | C22 | semidirect |
| 11. C2×#13083559 | C22 | semidirect |
| 12. C2×#13083558 | C22 | semidirect |
| 16. #15667986 | C22 | semidirect |
| 17. C2×C4⋊Dic89 | C22 | semidirect |
| 19. #15667943 | C22 | semidirect |
| 20. #15667933 | C22 | semidirect |
| 21. #15667932 | C22 | semidirect |
| 22. C22⋊#10623494 | C22 | semidirect |
| 23. C22⋊#10623494 | C22 | semidirect |
| 25. C22×D4×C89 | C22 | semidirect |
| 30. #121×C89 | C22 | semidirect |
| 31. C2×C4⋊C4×C89 | C22 | semidirect |
| 139. C89 | #3192 | semidirect |
| 141. C2×#121 | D89 | semidirect |
| 151. C22×D4 | C2×D89 | semidirect |
| 162. #121 | C2×D89 | semidirect |
| 164. C2×C4⋊C4 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667986 | 2 |
| #19151916 | 2 |
| #19151914 | 2 |
| #19151849 | 2 |
| #19151732 | 2 |
| #19151731 | 2 |
| #19151562 | 2 |
| C2×#121×C89 | 2 |
| #3192 | 89 |