Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 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×#15667991 | C2 | semidirect |
| 2. #19151534 | C2 | semidirect |
| 3. #19151521 | C2 | semidirect |
| 4. #19151510 | C2 | semidirect |
| 5. #19151471 | C2 | semidirect |
| 6. #19151458 | C2 | semidirect |
| 9. C22×Dic178 | C22 | semidirect |
| 11. C2×C4⋊Dic89 | C22 | semidirect |
| 12. C2×C4⋊Dic89 | C22 | semidirect |
| 13. C2×#13083553 | C22 | semidirect |
| 14. C2×#13083553 | C22 | semidirect |
| 19. #15667919 | C22 | semidirect |
| 20. #15667919 | C22 | semidirect |
| 44. C24×C89 | Q8 | semidirect |
| 118. C89 | #2626 | semidirect |
| 149. C24 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667991 | 2 |
| #19151534 | 2 |
| #19151521 | 2 |
| #19151510 | 2 |
| #19151471 | 2 |
| #19151458 | 2 |
| #19151454 | 2 |
| C22×C22⋊C4×C89 | 2 |
| #2626 | 89 |