Finite Group Databasebeta

← Group #469726

Character table — Group #469726

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222244444444224424444444448888888822444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111
χ1111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111
χ1211111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111
χ1411111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-222-2-22-20000000000000000000000002i−2i2i−2i00000000
χ18222222222222-2-2-2-2-2-2-2-222-2-22-2000000000000000000000000−2i2i−2i2i00000000
χ19222222222222-2-2-2-2-2-2-2-2-2-222-220000000000000000000000002i−2i−2i2i00000000
χ20222222222222-2-2-2-2-2-2-2-2-2-222-22000000000000000000000000−2i2i2i−2i00000000
χ2122222222-2-2-2-2222-2-2-2-2222-2-2-222222-2-2-2-20000000000000000000000000000
χ2222222222-2-2-2-2222-2-2-2-2222-2-2-22-2-2-2-222220000000000000000000000000000
χ2322222222-2-2-2-2222-2-2-2-22-2-2222-222-2-2-2-2220000000000000000000000000000
χ2422222222-2-2-2-2222-2-2-2-22-2-2222-2-2-22222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-22222-22222-2-20000000022-2-222-2-200000000000000000000
χ2622222222-2-2-2-2-2-2-22222-22222-2-200000000-2-222-2-22200000000000000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-2-2-2220000000022-2-2-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-22222-2-2-2-2-22200000000-2-22222-2-200000000000000000000
χ29222-22-2-2-222-2-2-22-222-2-220000002i−2i002i−2i00000000000000002i−2i00000000002-2
χ30222-22-2-2-222-2-2-22-222-2-220000002i−2i002i−2i0000000000000000−2i2i0000000000-22
χ31222-22-2-2-222-2-2-22-222-2-22000000−2i2i00−2i2i00000000000000002i−2i0000000000-22
χ32222-22-2-2-222-2-2-22-222-2-22000000−2i2i00−2i2i0000000000000000−2i2i00000000002-2
χ33222-22-2-2-2-2-222-22-2-2-22220000002i−2i00−2i2i000000000000002i−2i000000002-20000
χ34222-22-2-2-2-2-222-22-2-2-22220000002i−2i00−2i2i00000000000000−2i2i00000000-220000
χ35222-22-2-2-2-2-222-22-2-2-2222000000−2i2i002i−2i000000000000002i−2i00000000-220000
χ36222-22-2-2-2-2-222-22-2-2-2222000000−2i2i002i−2i00000000000000−2i2i000000002-20000
χ372-2-222-22-22-22-222-22-22-2-2000000002i−2i002i−2i000000002-2000000000000002i−2i00
χ382-2-222-22-22-22-222-22-22-2-2000000002i−2i002i−2i00000000-2200000000000000−2i2i00
χ392-2-222-22-22-22-222-22-22-2-200000000−2i2i00−2i2i000000002-200000000000000−2i2i00
χ402-2-222-22-22-22-222-22-22-2-200000000−2i2i00−2i2i00000000-22000000000000002i−2i00
χ412-2-222-22-2-22-2222-2-22-22-2000000002i−2i00−2i2i00000000002-2000000002i−2i000000
χ422-2-222-22-2-22-2222-2-22-22-2000000002i−2i00−2i2i0000000000-2200000000−2i2i000000
χ432-2-222-22-2-22-2222-2-22-22-200000000−2i2i002i−2i00000000002-200000000−2i2i000000
χ442-2-222-22-2-22-2222-2-22-22-200000000−2i2i002i−2i0000000000-22000000002i−2i000000
χ45444-44-4-4-444-4-44-44-4-444-4000000000000000000000000000000000000000000
χ46444-44-4-4-4-4-4444-4444-4-4-4000000000000000000000000000000000000000000
χ4744-44-4-4-44000000000000004i−4i0000000000002i2−2i20022−2200000000000000000000
χ4844-44-4-4-44000000000000004i−4i000000000000−2i22i200−222200000000000000000000
χ4944-44-4-4-4400000000000000−4i4i0000000000002i2−2i200−222200000000000000000000
χ5044-44-4-4-4400000000000000−4i4i000000000000−2i22i20022−2200000000000000000000
χ514-44-4-4-4440000000000004-400000000000022−220022−220000000000000000000000
χ524-44-4-4-4440000000000004-4000000000000−222200−22220000000000000000000000
χ534-44-4-4-444000000000000-4400000000000022−2200−22220000000000000000000000
χ544-44-4-4-444000000000000-44000000000000−22220022−220000000000000000000000
χ554-4-444-44-44-44-4-4-44-44-444000000000000000000000000000000000000000000
χ564-4-444-44-4-44-44-4-444-44-44000000000000000000000000000000000000000000
χ574-4-4-444-444-4-444-4-4-444-44000000000000000000000000000000000000000000
χ584-4-4-444-444-4-44-4444-4-44-4000000000000000000000000000000000000000000
χ594-4-4-444-44-444-44-4-44-4-444000000000000000000000000000000000000000000
χ604-4-4-444-44-444-4-444-444-4-4000000000000000000000000000000000000000000
χ6188-8-8-888-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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