Finite Group Databasebeta

← Group #460071

Character table — Group #460071

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111
χ1722222222-2-2-2-222-2-22-22-2000022-2-20000000022-2-20000002-200000000000000
χ1822222222-2-2-2-222-2-22-22-2000022-2-200000000-2-222000000-2200000000000000
χ1922222222-2-2-2-222-2-22-22-20000-2-2220000000022-2-2000000-2200000000000000
χ2022222222-2-2-2-222-2-22-22-20000-2-22200000000-2-2220000002-200000000000000
χ2122222222-2-2-2-2-2-222-22-2222-2-2000000000000000022-2-20000002-20000000000
χ2222222222-2-2-2-2-2-222-22-2222-2-20000000000000000-2-222000000-220000000000
χ2322222222-2-2-2-2-2-222-22-22-2-222000000000000000022-2-2000000-220000000000
χ2422222222-2-2-2-2-2-222-22-22-2-2220000000000000000-2-2220000002-20000000000
χ2522-22-2-2-2222-2-22-22-2-2-2222i−2i2i−2i2i−2i2i−2i22-2-2000000000000000000000000000000
χ2622-22-2-2-2222-2-22-22-2-2-2222i−2i2i−2i−2i2i−2i2i-2-222000000000000000000000000000000
χ2722-22-2-2-2222-2-22-22-2-2-222−2i2i−2i2i2i−2i2i−2i-2-222000000000000000000000000000000
χ2822-22-2-2-2222-2-22-22-2-2-222−2i2i−2i2i−2i2i−2i2i22-2-2000000000000000000000000000000
χ2922-22-2-2-22-2-2222-2-22-222-200002i−2i−2i2i000000000000000000002-200002i−2i000000
χ3022-22-2-2-22-2-2222-2-22-222-200002i−2i−2i2i00000000000000000000-220000−2i2i000000
χ3122-22-2-2-22-2-2222-2-22-222-20000−2i2i2i−2i000000000000000000002-20000−2i2i000000
χ3222-22-2-2-22-2-2222-2-22-222-20000−2i2i2i−2i00000000000000000000-2200002i−2i000000
χ3322-22-2-2-22-2-222-222-22-2-222i−2i−2i2i00000000000000000000000000002-2002i−2i0000
χ3422-22-2-2-22-2-222-222-22-2-222i−2i−2i2i0000000000000000000000000000-2200−2i2i0000
χ3522-22-2-2-22-2-222-222-22-2-22−2i2i2i−2i00000000000000000000000000002-200−2i2i0000
χ3622-22-2-2-22-2-222-222-22-2-22−2i2i2i−2i0000000000000000000000000000-22002i−2i0000
χ372-2222-2-2-22-22-22-2-2-222-22000000002i−2i2i−2i2i2i−2i−2i000000002-20000000000000000
χ382-2222-2-2-22-22-22-2-2-222-22000000002i−2i2i−2i−2i−2i2i2i00000000-220000000000000000
χ392-2222-2-2-22-22-22-2-2-222-2200000000−2i2i−2i2i2i2i−2i−2i00000000-220000000000000000
χ402-2222-2-2-22-22-22-2-2-222-2200000000−2i2i−2i2i−2i−2i2i2i000000002-20000000000000000
χ412-2-22-222-22-2-2222-22-2-2-22000000002i−2i−2i2i000000000000000000000000002i−2i2-2
χ422-2-22-222-22-2-2222-22-2-2-22000000002i−2i−2i2i00000000000000000000000000−2i2i-22
χ432-2-22-222-22-2-2222-22-2-2-2200000000−2i2i2i−2i000000000000000000000000002i−2i-22
χ442-2-22-222-22-2-2222-22-2-2-2200000000−2i2i2i−2i00000000000000000000000000−2i2i2-2
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-4-44-4-40000000000000000000000002-22-20022−220022−22000000000000000000
χ47444-4-44-4-40000000000000000000000002-22-200−222200−2222000000000000000000
χ48444-4-44-4-4000000000000000000000000-22-220022−2200−2222000000000000000000
χ49444-4-44-4-4000000000000000000000000-22-2200−22220022−22000000000000000000
χ5044-44-4-4-4444-4-4-44-4444-4-4000000000000000000000000000000000000000000
χ514-4444-4-4-44-44-4-4444-4-44-4000000000000000000000000000000000000000000
χ524-4444-4-4-4-44-444-4444-4-4-4000000000000000000000000000000000000000000
χ534-4444-4-4-4-44-44-44-4-4-4444000000000000000000000000000000000000000000
χ544-44-4-4-4440000000000000000000000002i−2i−2i2i2i2−2i20022−2200000000000000000000
χ554-44-4-4-4440000000000000000000000002i−2i−2i2i−2i22i200−222200000000000000000000
χ564-44-4-4-444000000000000000000000000−2i2i2i−2i2i2−2i200−222200000000000000000000
χ574-44-4-4-444000000000000000000000000−2i2i2i−2i−2i22i20022−2200000000000000000000
χ584-4-44-444-44-4-44-4-44-4444-4000000000000000000000000000000000000000000
χ594-4-44-444-4-444-4444-4-44-4-4000000000000000000000000000000000000000000
χ604-4-44-444-4-444-4-4-4-444-444000000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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