Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
460 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152313 | C2 | semidirect |
| 2. #19152233 | C2 | semidirect |
| 3. #19151944 | C2 | semidirect |
| 4. #19151921 | C2 | semidirect |
| 5. #19151889 | C2 | semidirect |
| 6. #19151848 | C2 | semidirect |
| 7. #19151730 | C2 | semidirect |
| 8. C4×#13083559 | C2 | semidirect |
| 9. #19151675 | C2 | semidirect |
| 10. #19151601 | C2 | semidirect |
| 11. #459×C89 | C2 | semidirect |
| 15. C2×#13083557 | C22 | semidirect |
| 16. #15668012 | C22 | semidirect |
| 21. #15667983 | C22 | semidirect |
| 26. #15667970 | C22 | semidirect |
| 27. #15667945 | C22 | semidirect |
| 28. #15667944 | C22 | semidirect |
| 30. #15667933 | C22 | semidirect |
| 31. #15667933 | C22 | semidirect |
| 32. #15667933 | C22 | semidirect |
| 34. #15667924 | C22 | semidirect |
| 35. C4×#10623494 | C22 | semidirect |
| 36. C2×D8×C89 | C22 | semidirect |
| 38. C4×D4×C89 | C22 | semidirect |
| 39. C4⋊C8×C89 | C22 | semidirect |
| 40. #102×C89 | C22 | semidirect |
| 141. C89 | #3325 | semidirect |
| 148. #459 | D89 | semidirect |
| 156. C2×D8 | C2×D89 | semidirect |
| 168. C4×D4 | C2×D89 | semidirect |
| 173. C4⋊C8 | C2×D89 | semidirect |
| 179. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152313 | 2 |
| #19152233 | 2 |
| #19151944 | 2 |
| #19151921 | 2 |
| #19151889 | 2 |
| #19151848 | 2 |
| #19151730 | 2 |
| C4×#13083559 | 2 |
| #19151675 | 2 |
| #19151601 | 2 |
| #459×C89 | 2 |
| #3325 | 89 |