Finite Group Databasebeta

← Group #247813

Character table — Group #247813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244444444244444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-111-1-11111-111-11-1-1111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-11-1-1-1-11-1-11111-1-1-1-11111
χ71111111111111111-1-111-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ911111111111111-1-111-1-11111-1-1-111-1111-1-1-1-1-111-1-111-1-111-1-1
χ1011111111111111-1-111-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-111
χ1111111111111111-1-111-1-111-1-111-111-1-1-1-1-1-111111-1-1-1-111-1-111
χ1211111111111111-1-111-1-111-1-111-1-1-1-1-1-1-111111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-111-1-11111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-111-1-11-1-111-1-111-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-111111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-22222-2-2-2-20000-200200000000000000000000
χ182222222222-2-2-2-222-2-2-2-2220000200-200000000000000000000
χ192222222222-2-2-2-2-2-22222-2-20000200-200000000000000000000
χ202222222222-2-2-2-2-2-2-2-222220000-200200000000000000000000
χ21222222-2-2-2-222-2-22-2002-2000000000002-20002-2000000000000
χ22222222-2-2-2-222-2-22-2002-200000000000-22000-22000000000000
χ23222222-2-2-2-222-2-2-2200-22000000000002-2000-22000000000000
χ24222222-2-2-2-222-2-2-2200-2200000000000-220002-2000000000000
χ25222222-2-2-2-2-2-2222-200-220022-2-20000-20000200000000000000
χ26222222-2-2-2-2-2-2222-200-2200-2-222000020000-200000000000000
χ27222222-2-2-2-2-2-222-22002-20022220000-20000-200000000000000
χ28222222-2-2-2-2-2-222-22002-200-2-2-2-2000020000200000000000000
χ292222-2-22-2-222-22-2002-2002-2000000000002-2000002-200000000
χ302222-2-22-2-222-22-2002-2002-200000000000-2200000-2200000000
χ312222-2-22-2-222-22-200-2200-22000000000002-200000-2200000000
χ322222-2-22-2-222-22-200-2200-2200000000000-22000002-200000000
χ332222-2-22-2-22-22-22002-200-22000002-20000000002-20000000000
χ342222-2-22-2-22-22-22002-200-2200000-22000000000-220000000000
χ352222-2-22-2-22-22-2200-22002-2000002-2000000000-220000000000
χ362222-2-22-2-22-22-2200-22002-200000-220000000002-20000000000
χ374444-4-4-444-44-4-44000000000000000000000000000000000000
χ384444-4-4-444-4-444-4000000000000000000000000000000000000
χ3944-4-44-444-4-4000000000000000000000000000000000022−220000
χ4044-4-44-444-4-40000000000000000000000000000000000−22220000
χ4144-4-44-4-4-444000000000000000000000000000000002i2−2i2000000
χ4244-4-44-4-4-44400000000000000000000000000000000−2i22i2000000
χ4344-4-4-444-44-40000000000000000000000000000000000000022−22
χ4444-4-4-444-44-400000000000000000000000000000000000000−2222
χ4544-4-4-44-44-440000000000000000000000000000000000002i2−2i200
χ4644-4-4-44-44-44000000000000000000000000000000000000−2i22i200
χ478-88-8000000000000000000004i−4i000000000000000000000000
χ488-88-800000000000000000000−4i4i000000000000000000000000
χ498-8-880000000000000000004i−4i00000000000000000000000000
χ508-8-88000000000000000000−4i4i00000000000000000000000000

Here i is the imaginary unit (i² = −1).