Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152129 | C2 | semidirect |
| 2. C2×D4×Dic89 | C2 | semidirect |
| 3. #19151929 | C2 | semidirect |
| 4. #19151909 | C2 | semidirect |
| 5. #19151900 | C2 | semidirect |
| 6. #19151811 | C2 | semidirect |
| 7. #19151749 | C2 | semidirect |
| 8. #19151710 | C2 | semidirect |
| 9. #19151695 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 15. #15668003 | C22 | semidirect |
| 16. #15667999 | C22 | semidirect |
| 19. #15667977 | C22 | semidirect |
| 25. D4×Dic89 | C22 | semidirect |
| 30. #15667945 | C22 | semidirect |
| 31. #15667944 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667937 | C22 | semidirect |
| 35. #15667933 | C22 | semidirect |
| 37. #15667922 | C22 | semidirect |
| 141. C89 | #3114 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152129 | 2 |
| C2×D4×Dic89 | 2 |
| #19151929 | 2 |
| #19151909 | 2 |
| #19151900 | 2 |
| #19151811 | 2 |
| #19151749 | 2 |
| #19151710 | 2 |
| #19151695 | 2 |
| #19151652 | 2 |
| #447×C89 | 2 |
| #3114 | 89 |