Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C43 ⋊ 3−1+2⋊C9 |
82 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=d,b^3=e,b^a=bc,c^a=ce,f^a=f^36,c^b=ce,f^b=f^361185 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C43⋊C3×3−1+2⋊C9, C3×#23782724, #44533417, … |
| maximal normal subgroup of | C43⋊C3×3−1+2⋊C9, C3×#23782724, #44533417, … |
| maximal quotient of | #44531898, #44531904, #44531907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 108);