Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#15668034 | C2 | semidirect |
| 3. #19152165 | C2 | semidirect |
| 4. #19152079 | C2 | semidirect |
| 5. #19151819 | C2 | semidirect |
| 6. #19151812 | C2 | semidirect |
| 7. #19151797 | C2 | semidirect |
| 8. #19151792 | C2 | semidirect |
| 9. #19151624 | C2 | semidirect |
| 10. #19151597 | C2 | semidirect |
| 11. C2×#102×C89 | C2 | semidirect |
| 16. C2×Dic356 | C22 | semidirect |
| 17. C2×#13083563 | C22 | semidirect |
| 18. C2×#13083563 | C22 | semidirect |
| 20. C2×D712 | C22 | semidirect |
| 28. #15667977 | C22 | semidirect |
| 29. #15667974 | C22 | semidirect |
| 34. #15667941 | C22 | semidirect |
| 35. #15667941 | C22 | semidirect |
| 36. #15667935 | C22 | semidirect |
| 37. #15667932 | C22 | semidirect |
| 46. #13083574 | D4 | semidirect |
| 155. C89 | #3045 | semidirect |
| 166. C2×#102 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| C2×#15668034 | 2 |
| #19152165 | 2 |
| #19152079 | 2 |
| #19151819 | 2 |
| #19151812 | 2 |
| #19151797 | 2 |
| #19151792 | 2 |
| #19151624 | 2 |
| #19151597 | 2 |
| C2×#102×C89 | 2 |
| #3045 | 89 |