Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
444 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152143 | C2 | semidirect |
| 2. C2×#15667999 | C2 | semidirect |
| 3. #19151986 | C2 | semidirect |
| 4. #19151956 | C2 | semidirect |
| 5. #19151812 | C2 | semidirect |
| 6. #19151811 | C2 | semidirect |
| 7. #19151739 | C2 | semidirect |
| 8. #19151736 | C2 | semidirect |
| 9. #19151732 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #447×C89 | C2 | semidirect |
| 14. C2×#13083563 | C22 | semidirect |
| 15. C2×#13083562 | C22 | semidirect |
| 17. #15668011 | C22 | semidirect |
| 18. #15668008 | C22 | semidirect |
| 26. D4×Dic89 | C22 | semidirect |
| 27. #15667974 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 34. #15667935 | C22 | semidirect |
| 37. #15667922 | C22 | semidirect |
| 153. C89 | #3213 | semidirect |
| 163. #447 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| C2×#15667999 | 2 |
| #19151986 | 2 |
| #19151956 | 2 |
| #19151812 | 2 |
| #19151811 | 2 |
| #19151739 | 2 |
| #19151736 | 2 |
| #19151732 | 2 |
| #19151652 | 2 |
| #447×C89 | 2 |
| #3213 | 89 |