Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
688 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 2. #19151498 | C2 | semidirect |
| 3. #19151492 | C2 | semidirect |
| 4. #19151486 | C2 | semidirect |
| 5. #19151474 | C2 | semidirect |
| 6. #19151454 | C2 | semidirect |
| 7. #379×C89 | C2 | semidirect |
| 9. C22×C4×D89 | C22 | semidirect |
| 10. #15667981 | C4 | semidirect |
| 11. C2×#13083553 | C22 | semidirect |
| 15. C2×#13083551 | C22 | semidirect |
| 16. C2×C4×Dic89 | C22 | semidirect |
| 17. #15667919 | C22 | semidirect |
| 18. #15667919 | C22 | semidirect |
| 33. C22⋊Dic89 | C2×C4 | semidirect |
| 38. C24×C89 | C2×C4 | semidirect |
| 96. C89 | #2375 | semidirect |
| 103. #379 | D89 | semidirect |
| 121. C24 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667981 | 2 |
| #19151498 | 2 |
| #19151492 | 2 |
| #19151486 | 2 |
| #19151474 | 2 |
| #19151454 | 2 |
| #379×C89 | 2 |
| #2375 | 89 |