Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19152305 | C2 | semidirect |
| 3. #19151945 | C2 | semidirect |
| 4. #19151917 | C2 | semidirect |
| 5. #19151889 | C2 | semidirect |
| 6. #19151827 | C2 | semidirect |
| 7. #19151799 | C2 | semidirect |
| 8. #19151751 | C2 | semidirect |
| 9. C4×#13083563 | C2 | semidirect |
| 10. C2×#15667934 | C2 | semidirect |
| 11. C8×D4×C89 | C2 | semidirect |
| 15. C2×#13083563 | C22 | semidirect |
| 16. #15668012 | C22 | semidirect |
| 19. #15667991 | C22 | semidirect |
| 24. C4×Dic178 | C22 | semidirect |
| 27. C2×C4⋊Dic89 | C22 | semidirect |
| 28. #15667944 | C22 | semidirect |
| 29. #15667944 | C22 | semidirect |
| 30. #15667937 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 34. #15667934 | C22 | semidirect |
| 35. #15667934 | C22 | semidirect |
| 36. C22×C8×C89 | C22 | semidirect |
| 38. C4⋊C8×C89 | C22 | semidirect |
| 39. C22⋊C8×C89 | C22 | semidirect |
| 40. C4×C8×C89 | C22 | semidirect |
| 83. D4×C89 | SD16 | semidirect |
| 137. C89 | #3295 | semidirect |
| 147. C8×D4 | D89 | semidirect |
| 153. C22×C8 | C2×D89 | semidirect |
| 169. C4⋊C8 | C2×D89 | semidirect |
| 176. C22⋊C8 | C2×D89 | semidirect |
| 177. C4×C8 | C2×D89 | semidirect |
| 231. D4 | #13083563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152305 | 2 |
| D4×D356 | 2 |
| #19151945 | 2 |
| #19151917 | 2 |
| #19151889 | 2 |
| #19151827 | 2 |
| #19151799 | 2 |
| #19151751 | 2 |
| C4×#13083563 | 2 |
| C2×#15667934 | 2 |
| C8×D4×C89 | 2 |
| #3295 | 89 |