Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
532 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 532 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. #19152146 | C2 | semidirect |
| 2. #127×D89 | C2 | semidirect |
| 3. #19151974 | C2 | semidirect |
| 4. #19151945 | C2 | semidirect |
| 5. #19151944 | C2 | semidirect |
| 6. #19151791 | C2 | semidirect |
| 7. #19151730 | C2 | semidirect |
| 8. #19151649 | C2 | semidirect |
| 9. #493×C89 | C2 | semidirect |
| 14. C2×#13083559 | C22 | semidirect |
| 15. #15668012 | C22 | semidirect |
| 24. D4×Dic89 | C22 | semidirect |
| 26. #15667941 | C22 | semidirect |
| 27. #15667934 | C22 | semidirect |
| 28. #15667933 | C22 | semidirect |
| 30. C4×#10623494 | C22 | semidirect |
| 31. C2×D8×C89 | C22 | semidirect |
| 33. #127×C89 | C22 | semidirect |
| 34. C4×C8×C89 | C22 | semidirect |
| 100. C4×D89 | D8 | semidirect |
| 133. C89 | #3205 | semidirect |
| 137. #493 | D89 | semidirect |
| 148. C2×D8 | C2×D89 | semidirect |
| 155. #127 | C2×D89 | semidirect |
| 167. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| #127×D89 | 2 |
| #19151974 | 2 |
| #19151945 | 2 |
| #19151944 | 2 |
| #19151791 | 2 |
| #19151730 | 2 |
| #19151649 | 2 |
| #493×C89 | 2 |
| #3205 | 89 |