Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
724 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 724 conjugacy classes of subgroups — too many to draw. Only its 161 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. #19152396 | C2 | semidirect |
| 2. #19152144 | C2 | semidirect |
| 3. #19151781 | C2 | semidirect |
| 4. #19151776 | C2 | semidirect |
| 5. #19151771 | C2 | semidirect |
| 6. #19151766 | C2 | semidirect |
| 7. C2×#15667939 | C2 | semidirect |
| 8. #19151582 | C2 | semidirect |
| 9. #585×C89 | C2 | semidirect |
| 10. C2×#13083574 | C22 | semidirect |
| 12. #15668042 | C22 | semidirect |
| 14. #15668037 | C22 | semidirect |
| 16. C2×#13083558 | C22 | semidirect |
| 17. #15668010 | C22 | semidirect |
| 18. #15668008 | C22 | semidirect |
| 19. #15668001 | C22 | semidirect |
| 20. #15667999 | C22 | semidirect |
| 23. C2×C4×Dic89 | C22 | semidirect |
| 24. #15667939 | C22 | semidirect |
| 25. #15667939 | C22 | semidirect |
| 26. #15667931 | C22 | semidirect |
| 27. #15667929 | C22 | semidirect |
| 68. #41×C89 | D4 | semidirect |
| 72. C2×Q8×C89 | D4 | semidirect |
| 80. C2×D4×C89 | D4 | semidirect |
| 151. C89 | #3018 | semidirect |
| 152. #585 | D89 | semidirect |
| 200. #41 | C22⋊D89 | semidirect |
| 205. C2×Q8 | C22⋊D89 | semidirect |
| 216. C2×D4 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| #19152144 | 2 |
| #19151781 | 2 |
| #19151776 | 2 |
| #19151771 | 2 |
| #19151766 | 2 |
| C2×#15667939 | 2 |
| #19151582 | 2 |
| #585×C89 | 2 |
| #3018 | 89 |