Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
440 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 135 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. #19152151 | C2 | semidirect |
| 3. #19151901 | C2 | semidirect |
| 4. #19151897 | C2 | semidirect |
| 5. #19151887 | C2 | semidirect |
| 6. #19151877 | C2 | semidirect |
| 7. #19151638 | C2 | semidirect |
| 8. #19151621 | C2 | semidirect |
| 11. #428×C89 | C2 | semidirect |
| 15. #15668011 | C22 | semidirect |
| 16. #15668011 | C22 | semidirect |
| 17. #15668003 | C22 | semidirect |
| 18. #15668003 | C22 | semidirect |
| 30. #15667945 | C22 | semidirect |
| 31. #15667943 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667941 | C22 | semidirect |
| 41. #107×C89 | C22 | semidirect |
| 42. #106×C89 | C22 | semidirect |
| 48. C2×D356 | Q8 | semidirect |
| 139. C89 | #3077 | semidirect |
| 147. #428 | D89 | semidirect |
| 173. #107 | C2×D89 | semidirect |
| 175. #106 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| C2×#15667974 | 2 |
| #19151901 | 2 |
| #19151897 | 2 |
| #19151887 | 2 |
| #19151877 | 2 |
| #19151638 | 2 |
| #19151621 | 2 |
| #19151604 | 2 |
| #19151602 | 2 |
| #428×C89 | 2 |
| #3077 | 89 |