Finite Group Databasebeta

← Group #466982

Character table — Group #466982

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222244444444888844444444888888888822224444444444888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-111-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-11-1-1-1-1-11111
χ1011111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-11111-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-11-1-1-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11-11111-11-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-111-111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11-111-11-1-1-11111-1-1
χ1722222222-2-2-2-222-2-22-22-2000022-2-2000000000022-2-2000020000-20000000000
χ1822222222-2-2-2-222-2-22-22-2000022-2-20000000000-2-2220000-2000020000000000
χ1922222222-2-2-2-222-2-22-22-20000-2-222000000000022-2-20000-2000020000000000
χ2022222222-2-2-2-222-2-22-22-20000-2-2220000000000-2-222000020000-20000000000
χ2122222222-2-2-2-2-2-222-22-22222200000000-2-2000000000000022000-2-200000000
χ2222222222-2-2-2-2-2-222-22-22222200000000-2-20000000000000-2-20002200000000
χ2322222222-2-2-2-2-2-222-22-22-2-2-2-2000000002200000000000002-2000-2200000000
χ2422222222-2-2-2-2-2-222-22-22-2-2-2-200000000220000000000000-220002-200000000
χ252222-2-2-2-222-2-2222-2-22-2-222-2-2000000002-2000000002-22-20000000000000000
χ262222-2-2-2-222-2-2222-2-22-2-222-2-2000000002-200000000-22-220000000000000000
χ272222-2-2-2-222-2-2222-2-22-2-2-2-22200000000-22000000002-2-220000000000000000
χ282222-2-2-2-222-2-2222-2-22-2-2-2-22200000000-2200000000-222-20000000000000000
χ292222-2-2-2-222-2-2-2-2-222-22200002i−2i2i−2i2i2i−2i−2i000000000000000000000000002-200
χ302222-2-2-2-222-2-2-2-2-222-22200002i−2i2i−2i−2i−2i2i2i00000000000000000000000000-2200
χ312222-2-2-2-222-2-2-2-2-222-2220000−2i2i−2i2i2i2i−2i−2i00000000000000000000000000-2200
χ322222-2-2-2-222-2-2-2-2-222-2220000−2i2i−2i2i−2i−2i2i2i000000000000000000000000002-200
χ332222-2-2-2-2-2-222-2-22-2222-222-2-22i−2i−2i2i0000-222i2i−2i−2i000000000000000000000000
χ342222-2-2-2-2-2-222-2-22-2222-222-2-2−2i2i2i−2i0000-22−2i−2i2i2i000000000000000000000000
χ352222-2-2-2-2-2-222-2-22-2222-2-2-2222i−2i−2i2i00002-2−2i−2i2i2i000000000000000000000000
χ362222-2-2-2-2-2-222-2-22-2222-2-2-222−2i2i2i−2i00002-22i2i−2i−2i000000000000000000000000
χ372-2-2222-2-22-2-222-222-2-22-2000000000000002i−2i2i−2i000000000002-2000002i−2i0000
χ382-2-2222-2-22-2-222-222-2-22-2000000000000002i−2i2i−2i00000000000-2200000−2i2i0000
χ392-2-2222-2-22-2-222-222-2-22-200000000000000−2i2i−2i2i000000000002-200000−2i2i0000
χ402-2-2222-2-22-2-222-222-2-22-200000000000000−2i2i−2i2i00000000000-22000002i−2i0000
χ412-2-22-2-222-22-22-222-2-2-222000000000000002-2-2200000000000000002-200002-2
χ422-2-22-2-222-22-22-222-2-2-222000000000000002-2-220000000000000000-220000-22
χ432-2-22-2-222-22-22-222-2-2-22200000000000000-222-200000000000000002-20000-22
χ442-2-22-2-222-22-22-222-2-2-22200000000000000-222-20000000000000000-2200002-2
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-44444-44-4-4-44000000000000000000000000000000000000000000
χ4744-4-44-44-400000000000022−2222−2200002i−2i2i−2i000000002i2−2i200000000000000000000
χ4844-4-44-44-400000000000022−2222−220000−2i2i−2i2i00000000−2i22i200000000000000000000
χ4944-4-44-44-4000000000000−2222−222200002i−2i2i−2i00000000−2i22i200000000000000000000
χ5044-4-44-44-4000000000000−2222−22220000−2i2i−2i2i000000002i2−2i200000000000000000000
χ5144-4-4-44-4400000000000022−22−222200002-2-2200000022−220000000000000000000000
χ5244-4-4-44-4400000000000022−22−22220000-222-2000000−22220000000000000000000000
χ5344-4-4-44-44000000000000−222222−2200002-2-22000000−22220000000000000000000000
χ5444-4-4-44-44000000000000−222222−220000-222-200000022−220000000000000000000000
χ554-4-4444-4-44-4-44-44-4-444-44000000000000000000000000000000000000000000
χ564-4-4444-4-4-444-44-4-4-4-4444000000000000000000000000000000000000000000
χ574-4-4444-4-4-444-4-44444-4-4-4000000000000000000000000000000000000000000
χ584-4-44-4-4444-44-44-44-44-4-44000000000000000000000000000000000000000000
χ594-4-44-4-4444-44-4-44-44-444-4000000000000000000000000000000000000000000
χ604-4-44-4-444-44-444-4-4444-4-4000000000000000000000000000000000000000000
χ618-88-88-8-88000000000000000000000000000000000000000000000000000000
χ628-88-8-888-8000000000000000000000000000000000000000000000000000000

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