Finite Group DatabasebetaFinite Group DatabasebetaOrder 10449.
166 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 53 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. C3×#11923957 | C3 | semidirect |
| 2. C3×#11923956 | C3 | semidirect |
| 4. C3×C9×C43⋊C3 | C3 | semidirect |
| 5. C32⋊(C43⋊C9) | C3 | semidirect |
| 6. (C3×C43⋊C3)⋊C9 | C3 | semidirect |
| 7. (C3×C43⋊C3)⋊C9 | C3 | semidirect |
| 8. (C3×C43⋊C3)⋊C9 | C3 | semidirect |
| 9. C3×3−1+2×C43 | C3 | semidirect |
| 36. C3×C43⋊C3 | 3−1+2 | semidirect |
| 38. C9×C43 | H(3,𝔽3) | semidirect |
| 52. C3×3−1+2 | C43⋊C3 | semidirect |
| 59. C43 | C9⋊H(3,𝔽3) | semidirect |
| 91. C9 | C32⋊(C43⋊C3) | semidirect |