Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152308 | C2 | semidirect |
| 3. #19151945 | C2 | semidirect |
| 4. #19151918 | C2 | semidirect |
| 5. #19151888 | C2 | semidirect |
| 6. #19151830 | C2 | semidirect |
| 7. #19151798 | C2 | semidirect |
| 8. #19151747 | C2 | semidirect |
| 9. C8×D356 | C2 | semidirect |
| 10. #102×D89 | C2 | semidirect |
| 11. C4×SD16×C89 | C2 | semidirect |
| 14. C2×#13083561 | C22 | semidirect |
| 15. C2×C8×D89 | C22 | semidirect |
| 16. #15668012 | C22 | semidirect |
| 20. #15667988 | C22 | semidirect |
| 26. C4⋊C4×D89 | C22 | semidirect |
| 27. #15667943 | C22 | semidirect |
| 28. C4⋊#10623494 | C22 | semidirect |
| 29. #15667934 | C22 | semidirect |
| 30. #15667934 | C22 | semidirect |
| 32. #15667932 | C22 | semidirect |
| 33. #15667924 | C22 | semidirect |
| 35. C4×Q8×C89 | C22 | semidirect |
| 37. #106×C89 | C22 | semidirect |
| 38. #103×C89 | C22 | semidirect |
| 40. C4×C8×C89 | C22 | semidirect |
| 102. D356 | SD16 | semidirect |
| 137. C89 | #3295 | semidirect |
| 146. C4×SD16 | D89 | semidirect |
| 162. C4×Q8 | C2×D89 | semidirect |
| 168. #106 | C2×D89 | semidirect |
| 170. #103 | C2×D89 | semidirect |
| 177. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152308 | 2 |
| D4×D356 | 2 |
| #19151945 | 2 |
| #19151918 | 2 |
| #19151888 | 2 |
| #19151830 | 2 |
| #19151798 | 2 |
| #19151747 | 2 |
| C8×D356 | 2 |
| #102×D89 | 2 |
| C4×SD16×C89 | 2 |
| #3295 | 89 |