Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
572 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 137 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×#15668041 | C2 | semidirect |
| 2. C2×#15668036 | C2 | semidirect |
| 3. #19152146 | C2 | semidirect |
| 4. #124×D89 | C2 | semidirect |
| 5. #19151993 | C2 | semidirect |
| 6. #19151992 | C2 | semidirect |
| 7. #19151985 | C2 | semidirect |
| 8. #19151981 | C2 | semidirect |
| 9. #19151979 | C2 | semidirect |
| 10. #19151550 | C2 | semidirect |
| 11. #496×C89 | C2 | semidirect |
| 17. C2×Dic356 | C22 | semidirect |
| 18. C2×#13083564 | C22 | semidirect |
| 21. C2×#13083562 | C22 | semidirect |
| 24. #15668012 | C22 | semidirect |
| 28. #15667999 | C22 | semidirect |
| 34. #15667923 | C22 | semidirect |
| 35. C8×Dic89 | C22 | semidirect |
| 36. C2×SD16×C89 | C22 | semidirect |
| 38. #127×C89 | C22 | semidirect |
| 40. #97×C89 | C22 | semidirect |
| 62. #13083557 | D4 | semidirect |
| 135. C89 | #3153 | semidirect |
| 143. #496 | D89 | semidirect |
| 157. C2×SD16 | C2×D89 | semidirect |
| 162. #127 | C2×D89 | semidirect |
| 174. #97 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668041 | 2 |
| C2×#15668036 | 2 |
| #19152146 | 2 |
| #124×D89 | 2 |
| #19151993 | 2 |
| #19151992 | 2 |
| #19151985 | 2 |
| #19151981 | 2 |
| #19151979 | 2 |
| #19151550 | 2 |
| #496×C89 | 2 |
| #3153 | 89 |