Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152202 | C2 | semidirect |
| 2. #19152161 | C2 | semidirect |
| 3. #19151985 | C2 | semidirect |
| 4. #19151962 | C2 | semidirect |
| 5. #19151953 | C2 | semidirect |
| 6. #19151811 | C2 | semidirect |
| 7. #19151791 | C2 | semidirect |
| 8. #19151740 | C2 | semidirect |
| 9. #19151730 | C2 | semidirect |
| 10. #19151657 | C2 | semidirect |
| 11. #493×C89 | C2 | semidirect |
| 14. C2×#13083562 | C22 | semidirect |
| 17. #15668004 | C22 | semidirect |
| 25. D4×Dic89 | C22 | semidirect |
| 27. #15667941 | C22 | semidirect |
| 28. #15667937 | C22 | semidirect |
| 31. #15667933 | C22 | semidirect |
| 33. #15667923 | C22 | semidirect |
| 35. C2×D8×C89 | C22 | semidirect |
| 37. #127×C89 | C22 | semidirect |
| 38. C4×C8×C89 | C22 | semidirect |
| 129. C89 | #3220 | semidirect |
| 133. #493 | D89 | semidirect |
| 146. C2×D8 | C2×D89 | semidirect |
| 149. #127 | C2×D89 | semidirect |
| 167. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152202 | 2 |
| #19152161 | 2 |
| #19151985 | 2 |
| #19151962 | 2 |
| #19151953 | 2 |
| #19151811 | 2 |
| #19151791 | 2 |
| #19151740 | 2 |
| #19151730 | 2 |
| #19151657 | 2 |
| #493×C89 | 2 |
| #3220 | 89 |