Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#15668040 | C2 | semidirect |
| 2. C22×D712 | C2 | semidirect |
| 3. #19152167 | C2 | semidirect |
| 4. #19152072 | C2 | semidirect |
| 5. #19151814 | C2 | semidirect |
| 6. #19151794 | C2 | semidirect |
| 7. #19151604 | C2 | semidirect |
| 8. #19151595 | C2 | semidirect |
| 9. #424×C89 | C2 | semidirect |
| 14. C2×#13083563 | C22 | semidirect |
| 17. C2×D712 | C22 | semidirect |
| 18. #15668009 | C22 | semidirect |
| 19. #15668000 | C22 | semidirect |
| 22. C4×D356 | C22 | semidirect |
| 26. #15667937 | C22 | semidirect |
| 27. #15667934 | C22 | semidirect |
| 28. #15667934 | C22 | semidirect |
| 32. C4⋊C8×C89 | C22 | semidirect |
| 44. C2×D356 | D4 | semidirect |
| 122. C89 | #3041 | semidirect |
| 129. #424 | D89 | semidirect |
| 151. C4⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668040 | 2 |
| C22×D712 | 2 |
| #19152167 | 2 |
| #19152072 | 2 |
| #19151814 | 2 |
| #19151794 | 2 |
| #19151604 | 2 |
| #19151595 | 2 |
| #424×C89 | 2 |
| #3041 | 89 |