Finite Group Databasebeta

← Group #253281

Character table — Group #253281

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222224444224444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-111111-1-1-1-1-11-1-1-11111-1-1-1-1
χ411111111111111111111-1-111-1-1-1-1-1-11-1-1-111111-1-1-1-1-1-1-11111
χ5111111111111111111-1-111-1-111-1-111-11111111-11-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ911111111111111-1-1-1-11111-1-111-1-11-111-1-111-1-1-1-11111-1-111-1-1
χ1011111111111111-1-1-1-11111-1-111-1-1-111-11-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-111-1-1-1-1-1-1111-111-11-1-111-11-1-111-1-1-1-111
χ1211111111111111-1-1-1-111-1-1-1-1-1-111-111-11111-1-1-11-1-1-1-11111-1-1
χ1311111111111111-1-1-1-1-1-1111111111-1-11-1-111-1-11-1-1-1-1-111-1-111
χ1411111111111111-1-1-1-1-1-111111111-11-1-11-1-1-1111-1-1-111-1-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-11-1-1111111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1111111-1-1-1-111
χ172222222222-2-2-2-222-2-2002200-2-20000000-20000020000000000
χ182222222222-2-2-2-222-2-200-2-200220000000200000-20000000000
χ192222222222-2-2-2-2-2-222002200-2-20000000200000-20000000000
χ202222222222-2-2-2-2-2-22200-2-200220000000-20000020000000000
χ21222222-2-2-2-222-2-20000002i−2i002i−2i000200-20002i−2i000000000000
χ22222222-2-2-2-222-2-20000002i−2i002i−2i000-2002000−2i2i000000000000
χ23222222-2-2-2-222-2-2000000−2i2i00−2i2i000200-2000−2i2i000000000000
χ24222222-2-2-2-222-2-2000000−2i2i00−2i2i000-20020002i−2i000000000000
χ25222222-2-2-2-2-2-2220000002i−2i00−2i2i00200-2002i−2i00000000000000
χ26222222-2-2-2-2-2-2220000002i−2i00−2i2i00-200200−2i2i00000000000000
χ27222222-2-2-2-2-2-222000000−2i2i002i−2i00200-200−2i2i00000000000000
χ28222222-2-2-2-2-2-222000000−2i2i002i−2i00-2002002i−2i00000000000000
χ292222-2-22-2-222-22-22-22-2000000002-20000000000002-200000000
χ302222-2-22-2-222-22-22-22-200000000-22000000000000-2200000000
χ312222-2-22-2-222-22-2-22-22000000002-2000000000000-2200000000
χ322222-2-22-2-222-22-2-22-2200000000-220000000000002-200000000
χ332222-2-22-2-22-22-222-2-22220022000000-20000000-200000000000
χ342222-2-22-2-22-22-222-2-22-2-200-2-200000020000000200000000000
χ352222-2-22-2-22-22-22-222-22200-2-2000000-20000000200000000000
χ362222-2-22-2-22-22-22-222-2-2-2002200000020000000-200000000000
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
χ4144-4-44-4-4-444000000000000000000000000000000000000002i2−2i2
χ4244-4-44-4-4-44400000000000000000000000000000000000000−2i22i2
χ4344-4-4-444-44-40000000000000000000000000000000022−22000000
χ4444-4-4-444-44-400000000000000000000000000000000−2222000000
χ4544-4-4-44-44-440000000000000000000000000000000000002i2−2i200
χ4644-4-4-44-44-44000000000000000000000000000000000000−2i22i200
χ478-88-80000000000000000004i−4i00000000000000000000000000
χ488-88-8000000000000000000−4i4i00000000000000000000000000
χ498-8-88000000000000004-4000000000000000000000000000000
χ508-8-8800000000000000-44000000000000000000000000000000

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