Finite Group Databasebeta

← Group #458020

Character table — Group #458020

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444224444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-1-11-1-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1
χ51111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-1111111-1-111-1-1
χ71111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ911111111111111111111-1-111-1-111-1-1-1-1111111111111-11-1-11-1-1-1-1-1-1-1-1-11111
χ1011111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-111
χ1111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1
χ1211111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-11-1-11111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11-111-1-11111-1-111
χ1722222222-2-2-2-222-22-2-2-222200-2-20000000000000022-2-220000-2000000000000
χ1822222222-2-2-2-222-22-2-2-222200-2-200000000000000-2-222-200002000000000000
χ1922222222-2-2-2-222-22-2-2-22-2-200220000000000000022-2-2-200002000000000000
χ2022222222-2-2-2-222-22-2-2-22-2-2002200000000000000-2-22220000-2000000000000
χ2122222222-2-2-2-2-2-22-2222-2002200-2-20000000022-2-200000200-20000000000000
χ2222222222-2-2-2-2-2-22-2222-2002200-2-200000000-2-22200000-20020000000000000
χ2322222222-2-2-2-2-2-22-2222-200-2-200220000000022-2-200000-20020000000000000
χ2422222222-2-2-2-2-2-22-2222-200-2-2002200000000-2-22200000200-20000000000000
χ2522-2-222-2-222-2-22-2-2-222-222-22i−2i2-22i−2i2i2i−2i−2i000000000000000000000000000000
χ2622-2-222-2-222-2-22-2-2-222-222-2−2i2i2-2−2i2i−2i−2i2i2i000000000000000000000000000000
χ2722-2-222-2-222-2-22-2-2-222-22-222i−2i-222i−2i−2i−2i2i2i000000000000000000000000000000
χ2822-2-222-2-222-2-22-2-2-222-22-22−2i2i-22−2i2i2i2i−2i−2i000000000000000000000000000000
χ2922-2-222-2-2-2-2222-22-2-2-2222-200-220000000000000000000000002i−2i0000002i−2i00
χ3022-2-222-2-2-2-2222-22-2-2-2222-200-22000000000000000000000000−2i2i000000−2i2i00
χ3122-2-222-2-2-2-2222-22-2-2-222-22002-20000000000000000000000002i−2i000000−2i2i00
χ3222-2-222-2-2-2-2222-22-2-2-222-22002-2000000000000000000000000−2i2i0000002i−2i00
χ3322-2-222-2-2-2-222-22-2222-2-2002i−2i00−2i2i0000000000000000000000002i−2i002-20000
χ3422-2-222-2-2-2-222-22-2222-2-2002i−2i00−2i2i000000000000000000000000−2i2i00-220000
χ3522-2-222-2-2-2-222-22-2222-2-200−2i2i002i−2i0000000000000000000000002i−2i00-220000
χ3622-2-222-2-2-2-222-22-2222-2-200−2i2i002i−2i000000000000000000000000−2i2i002-20000
χ372-22-2-222-22-2-2222-2-22-22-2000000002i−2i2i−2i00000000000000000000002-200002i−2i
χ382-22-2-222-22-2-2222-2-22-22-2000000002i−2i2i−2i0000000000000000000000-220000−2i2i
χ392-22-2-222-22-2-2222-2-22-22-200000000−2i2i−2i2i00000000000000000000002-20000−2i2i
χ402-22-2-222-22-2-2222-2-22-22-200000000−2i2i−2i2i0000000000000000000000-2200002i−2i
χ412-2-22-22-222-22-22-2222-2-2-2000000002-2-222i2i−2i−2i00000000002i−2i00000000000000
χ422-2-22-22-222-22-22-2222-2-2-2000000002-2-22−2i−2i2i2i0000000000−2i2i00000000000000
χ432-2-22-22-222-22-22-2222-2-2-200000000-222-22i2i−2i−2i0000000000−2i2i00000000000000
χ442-2-22-22-222-22-22-2222-2-2-200000000-222-2−2i−2i2i2i00000000002i−2i00000000000000
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-4-4-4-440000000000000000000000002i−2i2i−2i0022−22002i2−2i2000000000000000000
χ47444-4-4-4-440000000000000000000000002i−2i2i−2i00−222200−2i22i2000000000000000000
χ48444-4-4-4-44000000000000000000000000−2i2i−2i2i0022−2200−2i22i2000000000000000000
χ49444-4-4-4-44000000000000000000000000−2i2i−2i2i00−2222002i2−2i2000000000000000000
χ5044-4-444-4-444-4-4-4444-4-44-4000000000000000000000000000000000000000000
χ514-44-4-444-44-4-44-4-444-44-44000000000000000000000000000000000000000000
χ524-44-4-444-4-444-4444-4-44-4-4000000000000000000000000000000000000000000
χ534-44-4-444-4-444-4-4-4-444-444000000000000000000000000000000000000000000
χ544-4-44-44-444-44-4-44-4-4-4444000000000000000000000000000000000000000000
χ554-4-44-44-44-44-444-4-44-444-4000000000000000000000000000000000000000000
χ564-4-44-44-44-44-44-444-44-4-44000000000000000000000000000000000000000000
χ574-4-4-44-4440000000000000000000000002-2-2222−220022−2200000000000000000000
χ584-4-4-44-4440000000000000000000000002-2-22−222200−222200000000000000000000
χ594-4-4-44-444000000000000000000000000-222-222−2200−222200000000000000000000
χ604-4-4-44-444000000000000000000000000-222-2−22220022−2200000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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