Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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×#15668038 | C2 | semidirect |
| 2. #19152144 | C2 | semidirect |
| 3. C2×D4×Dic89 | C2 | semidirect |
| 4. #19151815 | C2 | semidirect |
| 5. #19151811 | C2 | semidirect |
| 6. #19151801 | C2 | semidirect |
| 7. #19151791 | C2 | semidirect |
| 8. #19151621 | C2 | semidirect |
| 9. #19151600 | C2 | semidirect |
| 10. #19151599 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C89 | C2 | semidirect |
| 18. #15668010 | C22 | semidirect |
| 19. #15668008 | C22 | semidirect |
| 20. #15668001 | C22 | semidirect |
| 21. #15667999 | C22 | semidirect |
| 33. #15667941 | C22 | semidirect |
| 34. #15667941 | C22 | semidirect |
| 35. #15667937 | C22 | semidirect |
| 36. #15667936 | C22 | semidirect |
| 37. #15667934 | C22 | semidirect |
| 38. #15667933 | C22 | semidirect |
| 84. C2×D4×C89 | D4 | semidirect |
| 158. Dic89 | AGL(1,ℤ/8) | semidirect |
| 167. C89 | #3036 | semidirect |
| 169. C2×AGL(1,ℤ/8) | D89 | semidirect |
| 226. C2×D4 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| #19152144 | 2 |
| C2×D4×Dic89 | 2 |
| #19151815 | 2 |
| #19151811 | 2 |
| #19151801 | 2 |
| #19151791 | 2 |
| #19151621 | 2 |
| #19151600 | 2 |
| #19151599 | 2 |
| C2×AGL(1,ℤ/8)×C89 | 2 |
| #3036 | 89 |