Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C9 |
No aliases for this group.
| Sylow | C43 ⋊ #6896 |
120 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|b^3=e,c^3=d,b^a=bd,c^a=ce,f^b=f^6,f^c=f^36513 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6896, C3×#23782824, #44534760, … |
| maximal normal subgroup of | C43⋊C3×#6896, C3×#23782824, #44534760, … |
| maximal quotient of | #44532256, #44532289, #44532298, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 208);