Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152167 | C2 | semidirect |
| 2. #19151985 | C2 | semidirect |
| 3. #19151974 | C2 | semidirect |
| 4. #19151964 | C2 | semidirect |
| 5. #19151955 | C2 | semidirect |
| 6. #19151813 | C2 | semidirect |
| 7. #19151793 | C2 | semidirect |
| 8. #19151741 | C2 | semidirect |
| 9. #19151731 | C2 | semidirect |
| 10. #19151659 | C2 | semidirect |
| 11. #540×C89 | C2 | semidirect |
| 14. C2×#13083562 | C22 | semidirect |
| 17. C2×#13083559 | C22 | semidirect |
| 24. C4⋊#10623494 | C22 | semidirect |
| 25. #15667935 | C22 | semidirect |
| 28. #15667932 | C22 | semidirect |
| 30. #15667923 | C22 | semidirect |
| 31. C4×#10623494 | C22 | semidirect |
| 32. #127×C89 | C22 | semidirect |
| 33. #125×C89 | C22 | semidirect |
| 37. C4×D4×C89 | C22 | semidirect |
| 129. C89 | #3220 | semidirect |
| 130. #540 | D89 | semidirect |
| 149. #127 | C2×D89 | semidirect |
| 150. #125 | C2×D89 | semidirect |
| 158. C4×D4 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152167 | 2 |
| #19151985 | 2 |
| #19151974 | 2 |
| #19151964 | 2 |
| #19151955 | 2 |
| #19151813 | 2 |
| #19151793 | 2 |
| #19151741 | 2 |
| #19151731 | 2 |
| #19151659 | 2 |
| #540×C89 | 2 |
| #3220 | 89 |