Finite Group Databasebeta

← Group #459750

Character table — Group #459750

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444222244444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-111-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111111-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1111111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1111111-1-1
χ1722222222-2-2-2-222-22-2-2-22000022-2-200000000000022-2-22000000-20000000000
χ1822222222-2-2-2-222-22-2-2-22000022-2-2000000000000-2-222-200000020000000000
χ1922222222-2-2-2-222-22-2-2-220000-2-22200000000000022-2-2-200000020000000000
χ2022222222-2-2-2-222-22-2-2-220000-2-222000000000000-2-2222000000-20000000000
χ2122222222-2-2-2-2-2-22-2222-20000000022-2-2000022-2-20000000000002-200000000
χ2222222222-2-2-2-2-2-22-2222-20000000022-2-20000-2-222000000000000-2200000000
χ2322222222-2-2-2-2-2-22-2222-200000000-2-222000022-2-2000000000000-2200000000
χ2422222222-2-2-2-2-2-22-2222-200000000-2-2220000-2-2220000000000002-200000000
χ252222-2-2-2-222-2-2-2-2222-2-2222-2-2000000002i2i−2i−2i0000000002i−2i000000000000000
χ262222-2-2-2-222-2-2-2-2222-2-2222-2-200000000−2i−2i2i2i000000000−2i2i000000000000000
χ272222-2-2-2-222-2-2-2-2222-2-22-2-222000000002i2i−2i−2i000000000−2i2i000000000000000
χ282222-2-2-2-222-2-2-2-2222-2-22-2-22200000000−2i−2i2i2i0000000002i−2i000000000000000
χ292-22-222-2-22-22-22-22-2-22-22000000002i−2i2i−2i0000000000000002-200000002i−2i0000
χ302-22-222-2-22-22-22-22-2-22-22000000002i−2i2i−2i000000000000000-220000000−2i2i0000
χ312-22-222-2-22-22-22-22-2-22-2200000000−2i2i−2i2i0000000000000002-20000000−2i2i0000
χ322-22-222-2-22-22-22-22-2-22-2200000000−2i2i−2i2i000000000000000-2200000002i−2i0000
χ332-22-222-2-22-22-2-22-222-22-200002i−2i2i−2i0000000000000000000002i−2i00000002-200
χ342-22-222-2-22-22-2-22-222-22-200002i−2i2i−2i000000000000000000000−2i2i0000000-2200
χ352-22-222-2-22-22-2-22-222-22-20000−2i2i−2i2i0000000000000000000002i−2i0000000-2200
χ362-22-222-2-22-22-2-22-222-22-20000−2i2i−2i2i000000000000000000000−2i2i00000002-200
χ372-22-222-2-2-22-22-2222-22-2-22-22-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ382-22-222-2-2-22-22-2222-22-2-22-22-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ392-22-222-2-2-22-22-2222-22-2-2-22-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ402-22-222-2-2-22-22-2222-22-2-2-22-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ412-22-2-2-222-222-22-222-2-22-22-2-220000000000000000000000000000002i−2i00002i−2i
χ422-22-2-2-222-222-22-222-2-22-22-2-22000000000000000000000000000000−2i2i0000−2i2i
χ432-22-2-2-222-222-22-222-2-22-2-222-20000000000000000000000000000002i−2i0000−2i2i
χ442-22-2-2-222-222-22-222-2-22-2-222-2000000000000000000000000000000−2i2i00002i−2i
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ464444-4-4-4-444-4-444-4-4-444-4000000000000000000000000000000000000000000
χ474444-4-4-4-4-4-444444-44-4-4-4000000000000000000000000000000000000000000
χ484444-4-4-4-4-4-444-4-4-44-4444000000000000000000000000000000000000000000
χ4944-4-44-44-40000000000000000000000002-22-2002i2−2i2002i2−2i2000000000000000000
χ5044-4-44-44-40000000000000000000000002-22-200−2i22i200−2i22i2000000000000000000
χ5144-4-44-44-4000000000000000000000000-22-22002i2−2i200−2i22i2000000000000000000
χ5244-4-44-44-4000000000000000000000000-22-2200−2i22i2002i2−2i2000000000000000000
χ5344-4-4-44-440000000000000000000000002i−2i−2i2i22−22002i2−2i200000000000000000000
χ5444-4-4-44-440000000000000000000000002i−2i−2i2i−222200−2i22i200000000000000000000
χ5544-4-4-44-44000000000000000000000000−2i2i2i−2i22−2200−2i22i200000000000000000000
χ5644-4-4-44-44000000000000000000000000−2i2i2i−2i−2222002i2−2i200000000000000000000
χ574-44-444-4-4-44-444-4-4-44-444000000000000000000000000000000000000000000
χ584-44-4-4-4444-4-444-4-4444-4-4000000000000000000000000000000000000000000
χ594-44-4-4-4444-4-44-444-4-4-444000000000000000000000000000000000000000000
χ604-44-4-4-444-444-4-44-4-444-44000000000000000000000000000000000000000000
χ618-8-888-8-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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