Finite Group Databasebeta

← Group #454838

Character table — Group #454838

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222222222222444422444444444444444424444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1111111-1-1111111-1-11-11-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1111111-1-11111-1-111-11-11-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-11-11111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1111111111-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1111-1-11-111-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-111-11-1-111-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-11-1-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11-1-1-1111-1-111-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1111-1-1-111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-1-111111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-22-222-2-200000000002-2000000002-2020-2000000000000
χ1822222222222-2-2-2-2-2-2-22-222-2-200000000002-200000000-220-202000000000000
χ1922222222222-2-2-2-2-2-2-22-2-2-2220000000000-22000000002-20-202000000000000
χ2022222222222-2-2-2-2-2-2-22-2-2-2220000000000-2200000000-22020-2000000000000
χ2122222222-2-2-2222-2-2-2-2-2222-2-20000000000-220000002200-20-20000000000000
χ2222222222-2-2-2222-2-2-2-2-2222-2-20000000000-22000000-2-2002020000000000000
χ2322222222-2-2-2222-2-2-2-2-22-2-22200000000002-20000002-200-2020000000000000
χ2422222222-2-2-2222-2-2-2-2-22-2-22200000000002-2000000-220020-20000000000000
χ2522222222-2-2-2-2-2-22222-2-2222222-2-2-2-20000-2-222000000000000000000000000
χ2622222222-2-2-2-2-2-22222-2-22222-2-222220000-2-2-2-2000000000000000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-222000022-2-2000000000000000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-200002222000000000000000000000000
χ2922-2-22-22-222-22-2-22-22-2-22000000002i−2i22-2-2002i−2i000000000000002i−2i00000000
χ3022-2-22-22-222-22-2-22-22-2-22000000002i−2i-2-222002i−2i00000000000000−2i2i00000000
χ3122-2-22-22-222-22-2-22-22-2-2200000000−2i2i22-2-200−2i2i00000000000000−2i2i00000000
χ3222-2-22-22-222-22-2-22-22-2-2200000000−2i2i-2-22200−2i2i000000000000002i−2i00000000
χ3322-2-22-22-2-2-22-2222-22-22-2000000002i−2i000000−2i2i2i2i−2i−2i000000002-20000000000
χ3422-2-22-22-2-2-22-2222-22-22-2000000002i−2i000000−2i2i−2i−2i2i2i00000000-220000000000
χ3522-2-22-22-2-2-22-2222-22-22-200000000−2i2i0000002i−2i2i2i−2i−2i00000000-220000000000
χ3622-2-22-22-2-2-22-2222-22-22-200000000−2i2i0000002i−2i−2i−2i2i2i000000002-20000000000
χ372-2-2-222-222-2222-22-2-22-2-200002-22-2000000000000000000000000002i−2i002i−2i00
χ382-2-2-222-222-2222-22-2-22-2-200002-22-200000000000000000000000000−2i2i00−2i2i00
χ392-2-2-222-222-2222-22-2-22-2-20000-22-22000000000000000000000000002i−2i00−2i2i00
χ402-2-2-222-222-2222-22-2-22-2-20000-22-2200000000000000000000000000−2i2i002i−2i00
χ412-2-2-222-22-22-2-2-222-2-222200002-2-2200000000000000000000000000002-2002-2
χ422-2-2-222-22-22-2-2-222-2-222200002-2-220000000000000000000000000000-2200-22
χ432-2-2-222-22-22-2-2-222-2-22220000-222-200000000000000000000000000002-200-22
χ442-2-2-222-22-22-2-2-222-2-22220000-222-20000000000000000000000000000-22002-2
χ4544-4-44-44-444-4-444-44-44-4-4000000000000000000000000000000000000000000
χ4644-4-44-44-4-4-444-4-4-44-4444000000000000000000000000000000000000000000
χ474-4444-4-4-44-4-44-4444-4-44-4000000000000000000000000000000000000000000
χ484-4444-4-4-44-4-4-44-4-4-44444000000000000000000000000000000000000000000
χ494-4444-4-4-4-4444-44-4-444-4-4000000000000000000000000000000000000000000
χ504-4444-4-4-4-444-44-444-4-4-44000000000000000000000000000000000000000000
χ514-44-4-444-40000000000004i−4i000000002-22-200002i−2i2i−2i00000000000000000000
χ524-44-4-444-40000000000004i−4i00000000-22-220000−2i2i−2i2i00000000000000000000
χ534-44-4-444-4000000000000−4i4i000000002-22-20000−2i2i−2i2i00000000000000000000
χ544-44-4-444-4000000000000−4i4i00000000-22-2200002i−2i2i−2i00000000000000000000
χ554-4-44-4-444000000000000004-40000002-2-2200002-2-2200000000000000000000
χ564-4-44-4-444000000000000004-4000000-222-20000-222-200000000000000000000
χ574-4-44-4-44400000000000000-440000002-2-220000-222-200000000000000000000
χ584-4-44-4-44400000000000000-44000000-222-200002-2-2200000000000000000000
χ594-4-4-444-444-44-4-44-444-4-44000000000000000000000000000000000000000000
χ604-4-4-444-44-44-444-4-444-44-4000000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ6288-88-88-8-8000000000000000000000000000000000000000000000000000000

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