Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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×#15668018 | C2 | semidirect |
| 2. #19152172 | C2 | semidirect |
| 4. #19151841 | C2 | semidirect |
| 5. #19151824 | C2 | semidirect |
| 6. #19151636 | C2 | semidirect |
| 7. #19151607 | C2 | semidirect |
| 8. #19151603 | C2 | semidirect |
| 9. C22×SD16×C89 | C2 | semidirect |
| 13. C2×#13083557 | C22 | semidirect |
| 14. C2×C8×D89 | C22 | semidirect |
| 20. #15667988 | C22 | semidirect |
| 25. #15667946 | C22 | semidirect |
| 26. #15667944 | C22 | semidirect |
| 27. #15667936 | C22 | semidirect |
| 68. C2×C8×C89 | D4 | semidirect |
| 121. C89 | #3057 | semidirect |
| 122. C22×SD16 | D89 | semidirect |
| 180. C2×C8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668018 | 2 |
| #19152172 | 2 |
| #19152165 | 2 |
| #19151841 | 2 |
| #19151824 | 2 |
| #19151636 | 2 |
| #19151607 | 2 |
| #19151603 | 2 |
| C22×SD16×C89 | 2 |
| #3057 | 89 |