Finite Group DatabasebetaFinite Group DatabasebetaOrder 13851.
944 conjugacy classes of subgroups; only the 429 normal subgroups are shown.
This group has 944 conjugacy classes of subgroups — too many to draw. Only its 429 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. 3−1+2×#4296 | C3 | semidirect |
| 2. #17987589 | C3 | semidirect |
| 6. #13095339 | C32 | semidirect |
| 7. #13095338 | C32 | semidirect |
| 10. C9×#4296 | C32 | semidirect |
| 12. C3×#10587025 | C9 | semidirect |
| 13. C3×#10587022 | C9 | semidirect |
| 14. C3×#10587023 | C9 | semidirect |
| 15. 3−1+2×C19⋊C3 | C9 | semidirect |
| 18. C3×C19×3−1+2 | C9 | semidirect |
| 29. C19×3−1+2 | C3×C9 | semidirect |
| 30. C3×C9×C19 | C3×C9 | semidirect |
| 31. #10587025 | C3×C9 | semidirect |
| 32. C3×#4294 | C3×C9 | semidirect |
| 33. #10587023 | C3×C9 | semidirect |
| 34. #10587022 | C3×C9 | semidirect |
| 35. C9×C19⋊C3 | C3×C9 | semidirect |
| 63. C3×3−1+2 | #4296 | semidirect |
| 88. 3−1+2 | C3×#4296 | semidirect |
| 94. C3×C9 | C3×#4296 | semidirect |
| 95. C19 | #10624863 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| 3−1+2×#4296 | 3 |
| #17987589 | 3 |
| C3×C32⋊#4296 | 3 |
| C3×3−1+2×C19⋊C3 | 3 |
| #10624863 | 19 |