Finite Group Databasebeta

← Group #465932

Character table — Group #465932

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222244444444888844444444888888888822444444444444888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111
χ911111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11-111-1-111-1-111
χ1011111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-11111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-11-1-11111-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111-1111-111-1-1-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-1-1111-1-1-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1111-1-1-11111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-11-1-1-111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1111-1-111-1-111
χ1722222222-2-2-2-222-22-2-2-22222200000000-2-20000000000002200-2-20000000000
χ1822222222-2-2-2-222-22-2-2-22222200000000-2-2000000000000-2-200220000000000
χ1922222222-2-2-2-222-22-2-2-22-2-2-2-200000000220000000000002-200-220000000000
χ2022222222-2-2-2-222-22-2-2-22-2-2-2-20000000022000000000000-22002-20000000000
χ2122222222-2-2-2-2-2-22-2222-2000022-2-200000022-2-20000002-20000000000000000
χ2222222222-2-2-2-2-2-22-2222-2000022-2-2000000-2-222000000-220000000000000000
χ2322222222-2-2-2-2-2-22-2222-20000-2-22200000022-2-2000000-220000000000000000
χ2422222222-2-2-2-2-2-22-2222-20000-2-222000000-2-2220000002-20000000000000000
χ252222-2-2-2-22-2-222-2-2-222-2200000000000000000022-2-20000002i−2i0000002i−2i0000
χ262222-2-2-2-22-2-222-2-2-222-2200000000000000000022-2-2000000−2i2i000000−2i2i0000
χ272222-2-2-2-22-2-222-2-2-222-22000000000000000000-2-2220000002i−2i000000−2i2i0000
χ282222-2-2-2-22-2-222-2-2-222-22000000000000000000-2-222000000−2i2i0000002i−2i0000
χ2922-2-22-2-22-22-2222-2-22-22-20000000000000000002i−2i2i−2i2-2000000000000002i−2i00
χ3022-2-22-2-22-22-2222-2-22-22-20000000000000000002i−2i2i−2i-2200000000000000−2i2i00
χ3122-2-22-2-22-22-2222-2-22-22-2000000000000000000−2i2i−2i2i2-200000000000000−2i2i00
χ3222-2-22-2-22-22-2222-2-22-22-2000000000000000000−2i2i−2i2i-22000000000000002i−2i00
χ3322-2-2-222-222-2-22-2-22-222-222-2-2000000002-20000000000000000002i−2i2i−2i000000
χ3422-2-2-222-222-2-22-2-22-222-222-2-2000000002-2000000000000000000−2i2i−2i2i000000
χ3522-2-2-222-222-2-22-2-22-222-2-2-22200000000-220000000000000000002i−2i−2i2i000000
χ3622-2-2-222-222-2-22-2-22-222-2-2-22200000000-22000000000000000000−2i2i2i−2i000000
χ3722-2-2-222-222-2-2-222-22-2-2200002i−2i2i−2i2i2i−2i−2i00000000000000000000000000002-2
χ3822-2-2-222-222-2-2-222-22-2-2200002i−2i2i−2i−2i−2i2i2i0000000000000000000000000000-22
χ3922-2-2-222-222-2-2-222-22-2-220000−2i2i−2i2i2i2i−2i−2i0000000000000000000000000000-22
χ4022-2-2-222-222-2-2-222-22-2-220000−2i2i−2i2i−2i−2i2i2i00000000000000000000000000002-2
χ4122-2-2-222-2-2-2222-2222-2-2-222-2-22i−2i−2i2i0000-2200002i−2i−2i2i00000000000000000000
χ4222-2-2-222-2-2-2222-2222-2-2-222-2-2−2i2i2i−2i0000-220000−2i2i2i−2i00000000000000000000
χ4322-2-2-222-2-2-2222-2222-2-2-2-2-2222i−2i−2i2i00002-20000−2i2i2i−2i00000000000000000000
χ4422-2-2-222-2-2-2222-2222-2-2-2-2-222−2i2i2i−2i00002-200002i−2i−2i2i00000000000000000000
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ464444-4-4-4-44-4-44-4444-4-44-4000000000000000000000000000000000000000000
χ474444-4-4-4-4-444-44-44-4-4-444000000000000000000000000000000000000000000
χ484444-4-4-4-4-444-4-44-4444-4-4000000000000000000000000000000000000000000
χ4944-4-44-4-444-44-4444-4-44-4-4000000000000000000000000000000000000000000
χ5044-4-44-4-444-44-4-4-4-444-444000000000000000000000000000000000000000000
χ5144-4-44-4-44-44-44-4-444-44-44000000000000000000000000000000000000000000
χ5244-4-4-444-4-4-444-44-4-4-4444000000000000000000000000000000000000000000
χ534-44-44-44-400000000000022−2222−2200002i−2i2i−2i00002i2−2i2000000000000000000000000
χ544-44-44-44-400000000000022−2222−220000−2i2i−2i2i0000−2i22i2000000000000000000000000
χ554-44-44-44-4000000000000−2222−222200002i−2i2i−2i0000−2i22i2000000000000000000000000
χ564-44-44-44-4000000000000−2222−22220000−2i2i−2i2i00002i2−2i2000000000000000000000000
χ574-4-44-4-44400000000000022−22−222200002-2-220022−2200000000000000000000000000
χ584-4-44-4-44400000000000022−22−22220000-222-200−222200000000000000000000000000
χ594-4-44-4-444000000000000−222222−2200002-2-2200−222200000000000000000000000000
χ604-4-44-4-444000000000000−222222−220000-222-20022−2200000000000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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