Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152155 | C2 | semidirect |
| 2. #19151993 | C2 | semidirect |
| 3. #19151957 | C2 | semidirect |
| 4. #19151817 | C2 | semidirect |
| 5. #19151754 | C2 | semidirect |
| 7. #19151655 | C2 | semidirect |
| 9. C2×#13083564 | C22 | semidirect |
| 11. #15668012 | C22 | semidirect |
| 12. #15668012 | C22 | semidirect |
| 17. C4×Dic178 | C22 | semidirect |
| 19. C4⋊#10623494 | C22 | semidirect |
| 20. #15667936 | C22 | semidirect |
| 23. #15667923 | C22 | semidirect |
| 113. C89 | #3215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19151993 | 2 |
| #19151957 | 2 |
| #19151817 | 2 |
| #19151754 | 2 |
| #19151749 | 2 |
| #19151655 | 2 |
| C2×#124×C89 | 2 |
| #3215 | 89 |