Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | C43×C32⋊C9 ⋊ C3 |
| Sylow | C43 ⋊ H(3,𝔽3)⋊C9 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=d,b^a=bc,c^a=ce,c^b=ce,f^b=f^36513 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×H(3,𝔽3)⋊C9, C3×#23782719, #44533418, … |
| maximal normal subgroup of | C43⋊C3×H(3,𝔽3)⋊C9, C3×#23782719, #44533418, … |
| maximal quotient of | #44531893, #44531900, #44531904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 103);