Finite Group Databasebeta

← Group #458401

Character table — Group #458401

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1111-1-1-1-1-1-111
χ51111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1
χ71111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-1
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1111111
χ911111111111111111111-1-111-1-111-1-1-1-1111111111111-1-11-1-1-1-11-1-1-1-11111-1-1
χ1011111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-111-1-1-1-11111
χ1111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1111111-1-111
χ1211111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ1722222222-2-2-2-222-2-22-22-2002200-2-200000000000022-2-20020000-20000000000
χ1822222222-2-2-2-222-2-22-22-2002200-2-2000000000000-2-22200-2000020000000000
χ1922222222-2-2-2-222-2-22-22-200-2-2002200000000000022-2-200-2000020000000000
χ2022222222-2-2-2-222-2-22-22-200-2-20022000000000000-2-2220020000-20000000000
χ2122222222-2-2-2-2-2-222-22-222200-2-2000000000022-2-200002-20000000000000000
χ2222222222-2-2-2-2-2-222-22-222200-2-20000000000-2-2220000-220000000000000000
χ2322222222-2-2-2-2-2-222-22-22-2-20022000000000022-2-20000-220000000000000000
χ2422222222-2-2-2-2-2-222-22-22-2-200220000000000-2-22200002-20000000000000000
χ2522-22-2-22-222-2-22-2-2-222-220000000022-2-22i2i−2i−2i000000000002i−2i0000000000000
χ2622-22-2-22-222-2-22-2-2-222-220000000022-2-2−2i−2i2i2i00000000000−2i2i0000000000000
χ2722-22-2-22-222-2-22-2-2-222-2200000000-2-2222i2i−2i−2i00000000000−2i2i0000000000000
χ2822-22-2-22-222-2-22-2-2-222-2200000000-2-222−2i−2i2i2i000000000002i−2i0000000000000
χ292-222-22-2-22-22-22-22-2-2-2222-22i−2i2-22i−2i2i−2i2i−2i000000000000000000000000000000
χ302-222-22-2-22-22-22-22-2-2-2222-2−2i2i2-2−2i2i−2i2i−2i2i000000000000000000000000000000
χ312-222-22-2-22-22-22-22-2-2-222-222i−2i-222i−2i−2i2i−2i2i000000000000000000000000000000
χ322-222-22-2-22-22-22-22-2-2-222-22−2i2i-22−2i2i2i−2i2i−2i000000000000000000000000000000
χ332-222-22-2-2-22-222-2-22-222-2002i−2i00−2i2i0000000000000000000000002i−2i0000002-2
χ342-222-22-2-2-22-222-2-22-222-2002i−2i00−2i2i000000000000000000000000−2i2i000000-22
χ352-222-22-2-2-22-222-2-22-222-200−2i2i002i−2i0000000000000000000000002i−2i000000-22
χ362-222-22-2-2-22-222-2-22-222-200−2i2i002i−2i000000000000000000000000−2i2i0000002-2
χ372-222-22-2-2-22-22-222-22-2-222-200-22000000000000000000000002i−2i000002i−2i0000
χ382-222-22-2-2-22-22-222-22-2-222-200-2200000000000000000000000−2i2i00000−2i2i0000
χ392-222-22-2-2-22-22-222-22-2-22-22002-2000000000000000000000002i−2i00000−2i2i0000
χ402-222-22-2-2-22-22-222-22-2-22-22002-200000000000000000000000−2i2i000002i−2i0000
χ412-2-222-2-222-2-2222-22-2-2-22000000002i−2i−2i2i00000000000000000000002i−2i002-200
χ422-2-222-2-222-2-2222-22-2-2-22000000002i−2i−2i2i0000000000000000000000−2i2i00-2200
χ432-2-222-2-222-2-2222-22-2-2-2200000000−2i2i2i−2i00000000000000000000002i−2i00-2200
χ442-2-222-2-222-2-2222-22-2-2-2200000000−2i2i2i−2i0000000000000000000000−2i2i002-200
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-44-4-4-40000000000000000000000002-22-222−220022−2200000000000000000000
χ47444-44-4-4-40000000000000000000000002-22-2−222200−222200000000000000000000
χ48444-44-4-4-4000000000000000000000000-22-2222−2200−222200000000000000000000
χ49444-44-4-4-4000000000000000000000000-22-22−22220022−2200000000000000000000
χ5044-44-4-44-444-4-4-4444-4-44-4000000000000000000000000000000000000000000
χ5144-44-4-44-4-4-4444-4444-4-4-4000000000000000000000000000000000000000000
χ5244-44-4-44-4-4-444-44-4-4-4444000000000000000000000000000000000000000000
χ5344-4-4-44-440000000000000000000000002i−2i−2i2i0022−22002i2−2i2000000000000000000
χ5444-4-4-44-440000000000000000000000002i−2i−2i2i00−222200−2i22i2000000000000000000
χ5544-4-4-44-44000000000000000000000000−2i2i2i−2i0022−2200−2i22i2000000000000000000
χ5644-4-4-44-44000000000000000000000000−2i2i2i−2i00−2222002i2−2i2000000000000000000
χ574-444-44-4-44-44-4-44-4444-4-4000000000000000000000000000000000000000000
χ584-4-444-4-444-4-44-4-44-4444-4000000000000000000000000000000000000000000
χ594-4-444-4-44-444-4444-4-44-4-4000000000000000000000000000000000000000000
χ604-4-444-4-44-444-4-4-4-444-444000000000000000000000000000000000000000000
χ618-88-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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