Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 129 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×D4×Dic89 | C2 | semidirect |
| 3. #19151912 | C2 | semidirect |
| 4. #19151909 | C2 | semidirect |
| 5. #19151876 | C2 | semidirect |
| 6. #19151791 | C2 | semidirect |
| 7. #19151732 | C2 | semidirect |
| 8. D8×Dic89 | C2 | semidirect |
| 9. #19151678 | C2 | semidirect |
| 10. #19151648 | C2 | semidirect |
| 11. #447×C89 | C2 | semidirect |
| 15. #15668011 | C22 | semidirect |
| 16. #15668008 | C22 | semidirect |
| 24. D4×Dic89 | C22 | semidirect |
| 25. #15667974 | C22 | semidirect |
| 30. #15667946 | C22 | semidirect |
| 31. #15667945 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 35. #15667933 | C22 | semidirect |
| 37. C8×Dic89 | C22 | semidirect |
| 94. D4×C89 | #41 | semidirect |
| 109. C2×Dic89 | D8 | semidirect |
| 150. C89 | #3100 | semidirect |
| 158. #447 | D89 | semidirect |
| 249. D4 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| C2×D4×Dic89 | 2 |
| #19151912 | 2 |
| #19151909 | 2 |
| #19151876 | 2 |
| #19151791 | 2 |
| #19151732 | 2 |
| D8×Dic89 | 2 |
| #19151678 | 2 |
| #19151648 | 2 |
| #447×C89 | 2 |
| #3100 | 89 |