Finite Group Databasebeta

← Group #190485

Character table — Group #190485

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111111112222222222224444444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222244444444444444444444444444444444444444444444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ17111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ18111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ19111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i−ii−ii−ii−ii
χ20111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii−ii−iii−ii−ii−ii−i
χ21111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−iii−ii−i−ii−ii
χ22111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−ii−iii−ii−i
χ23111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ24111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ25111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iii−i−iii−i−ii
χ26111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−iii−i−iii−i
χ27111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iii−i−ii−iii−i−iii−i
χ28111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−iii−ii−i−iii−i−ii
χ29111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−ii−iii−ii−i−ii−iii−i
χ30111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii
χ31111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−i−iii−ii−i−ii
χ32111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−iii−i−ii−iii−i
χ3322222222-2-2-2-22222-2-2-2-20000000022-2-20000000022-2-20000000022-2-222-2-222-2-222-2-2000000000000000000000000
χ3422222222-2-2-2-22222-2-2-2-20000000022-2-20000000022-2-200000000-2-222-2-222-2-222-2-222000000000000000000000000
χ3522222222-2-2-2-22222-2-2-2-200000000-2-22200000000-2-2220000000022-2-222-2-2-2-222-2-222000000000000000000000000
χ3622222222-2-2-2-22222-2-2-2-200000000-2-22200000000-2-22200000000-2-222-2-22222-2-222-2-2000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-222220000000022-2-200000000-2-2220000000022-2-2-2-22222-2-2-2-222000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-222220000000022-2-200000000-2-22200000000-2-22222-2-2-2-22222-2-2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2222200000000-2-2220000000022-2-20000000022-2-2-2-222-2-22222-2-2000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2222200000000-2-2220000000022-2-200000000-2-22222-2-222-2-2-2-222000000000000000000000000
χ4122-2-222-2-222-2-222-2-222-2-200002i2i−2i−2i000000002i2i−2i−2i0000000000002i−2i2i−2i2i−2i2i−2i0000000022-2-222-2-20000000000000000
χ4222-2-222-2-222-2-222-2-222-2-200002i2i−2i−2i000000002i2i−2i−2i000000000000−2i2i−2i2i−2i2i−2i2i00000000-2-222-2-2220000000000000000
χ4322-2-222-2-222-2-222-2-222-2-20000−2i−2i2i2i00000000−2i−2i2i2i0000000000002i−2i2i−2i2i−2i2i−2i00000000-2-222-2-2220000000000000000
χ4422-2-222-2-222-2-222-2-222-2-20000−2i−2i2i2i00000000−2i−2i2i2i000000000000−2i2i−2i2i−2i2i−2i2i0000000022-2-222-2-20000000000000000
χ4522-2-222-2-222-2-2-2-222-2-22200002i2i−2i−2i00000000−2i−2i2i2i0000000000002i−2i2i−2i−2i2i−2i2i0000000022-2-2-2-2220000000000000000
χ4622-2-222-2-222-2-2-2-222-2-22200002i2i−2i−2i00000000−2i−2i2i2i000000000000−2i2i−2i2i2i−2i2i−2i00000000-2-22222-2-20000000000000000
χ4722-2-222-2-222-2-2-2-222-2-2220000−2i−2i2i2i000000002i2i−2i−2i0000000000002i−2i2i−2i−2i2i−2i2i00000000-2-22222-2-20000000000000000
χ4822-2-222-2-222-2-2-2-222-2-2220000−2i−2i2i2i000000002i2i−2i−2i000000000000−2i2i−2i2i2i−2i2i−2i0000000022-2-2-2-2220000000000000000
χ4922-2-222-2-2-2-22222-2-2-2-2222i2i−2i−2i000000002i2i−2i−2i0000000022-2-222-2-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ5022-2-222-2-2-2-22222-2-2-2-2222i2i−2i−2i000000002i2i−2i−2i00000000-2-222-2-222−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ5122-2-222-2-2-2-22222-2-2-2-222−2i−2i2i2i00000000−2i−2i2i2i0000000022-2-222-2-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ5222-2-222-2-2-2-22222-2-2-2-222−2i−2i2i2i00000000−2i−2i2i2i00000000-2-222-2-2222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ5322-2-222-2-2-2-222-2-22222-2-22i2i−2i−2i00000000−2i−2i2i2i0000000022-2-2-2-2222i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ5422-2-222-2-2-2-222-2-22222-2-22i2i−2i−2i00000000−2i−2i2i2i00000000-2-22222-2-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ5522-2-222-2-2-2-222-2-22222-2-2−2i−2i2i2i000000002i2i−2i−2i0000000022-2-2-2-222−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ5622-2-222-2-2-2-222-2-22222-2-2−2i−2i2i2i000000002i2i−2i−2i00000000-2-22222-2-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ572-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i000000002-22-22-22-22i−2i2i−2i00000000000000002i−2i2i−2i2-22-20000000000000000
χ582-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i000000002-22-2-22-22−2i2i−2i2i0000000000000000−2i2i−2i2i-22-220000000000000000
χ592-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i00000000-22-222-22-22i−2i2i−2i0000000000000000−2i2i−2i2i-22-220000000000000000
χ602-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i00000000-22-22-22-22−2i2i−2i2i00000000000000002i−2i2i−2i2-22-20000000000000000
χ612-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i00000000-22-222-22-2−2i2i−2i2i00000000000000002i−2i2i−2i-22-220000000000000000
χ622-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i00000000-22-22-22-222i−2i2i−2i0000000000000000−2i2i−2i2i2-22-20000000000000000
χ632-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i000000002-22-22-22-2−2i2i−2i2i0000000000000000−2i2i−2i2i2-22-20000000000000000
χ642-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i000000002-22-2-22-222i−2i2i−2i00000000000000002i−2i2i−2i-22-220000000000000000
χ652-22-22-22-2-22-222i−2i2i−2i−2i2i−2i2i2-22-22i−2i2i−2i2i−2i−2i2i2i−2i2i−2i2-22-22-2-22000000000000000000000000000000000000000000000000
χ662-22-22-22-2-22-222i−2i2i−2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i-22-22-222-2000000000000000000000000000000000000000000000000
χ672-22-22-22-2-22-222i−2i2i−2i−2i2i−2i2i-22-222i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2-22-2-222-2000000000000000000000000000000000000000000000000
χ682-22-22-22-2-22-222i−2i2i−2i−2i2i−2i2i-22-22−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i-22-222-2-22000000000000000000000000000000000000000000000000
χ692-22-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i−2i2i−2i2i−2i2i-22-22-222-2000000000000000000000000000000000000000000000000
χ702-22-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i2-22-2−2i2i−2i2i−2i2i2i−2i−2i2i−2i2i2-22-22-2-22000000000000000000000000000000000000000000000000
χ712-22-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i-22-222i−2i2i−2i−2i2i2i−2i2i−2i2i−2i-22-222-2-22000000000000000000000000000000000000000000000000
χ722-22-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i-22-22−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i2-22-2-222-2000000000000000000000000000000000000000000000000
χ732-2-222-2-222-2-222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000-222-20000000000000000000000002-22-22i−2i2i−2i2i−2i−2i2i2-2-220000000000000000
χ742-2-222-2-222-2-222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000-222-2000000000000000000000000-22-22−2i2i−2i2i−2i2i2i−2i-222-20000000000000000
χ752-2-222-2-222-2-222i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000002-2-220000000000000000000000002-22-22i−2i2i−2i−2i2i2i−2i-222-20000000000000000
χ762-2-222-2-222-2-222i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000002-2-22000000000000000000000000-22-22−2i2i−2i2i2i−2i−2i2i2-2-220000000000000000
χ772-2-222-2-222-2-22−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000002-2-220000000000000000000000002-22-2−2i2i−2i2i2i−2i−2i2i-222-20000000000000000
χ782-2-222-2-222-2-22−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000002-2-22000000000000000000000000-22-222i−2i2i−2i−2i2i2i−2i2-2-220000000000000000
χ792-2-222-2-222-2-22−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000-222-20000000000000000000000002-22-2−2i2i−2i2i−2i2i2i−2i2-2-220000000000000000
χ802-2-222-2-222-2-22−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000-222-2000000000000000000000000-22-222i−2i2i−2i2i−2i−2i2i-222-20000000000000000
χ812-2-222-2-22-222-22i−2i−2i2i−2i2i2i−2i00002-2-2200000000−2i2i2i−2i00002-2-222i−2i−2i2i00000000-222-2−2i2i2i−2i000000000000000000000000
χ822-2-222-2-22-222-22i−2i−2i2i−2i2i2i−2i00002-2-2200000000−2i2i2i−2i0000-222-2−2i2i2i−2i000000002-2-222i−2i−2i2i000000000000000000000000
χ832-2-222-2-22-222-22i−2i−2i2i−2i2i2i−2i0000-222-2000000002i−2i−2i2i00002-2-222i−2i−2i2i000000002-2-222i−2i−2i2i000000000000000000000000
χ842-2-222-2-22-222-22i−2i−2i2i−2i2i2i−2i0000-222-2000000002i−2i−2i2i0000-222-2−2i2i2i−2i00000000-222-2−2i2i2i−2i000000000000000000000000
χ852-2-222-2-22-222-2−2i2i2i−2i2i−2i−2i2i00002-2-22000000002i−2i−2i2i00002-2-22−2i2i2i−2i00000000-222-22i−2i−2i2i000000000000000000000000
χ862-2-222-2-22-222-2−2i2i2i−2i2i−2i−2i2i00002-2-22000000002i−2i−2i2i0000-222-22i−2i−2i2i000000002-2-22−2i2i2i−2i000000000000000000000000
χ872-2-222-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000-222-200000000−2i2i2i−2i00002-2-22−2i2i2i−2i000000002-2-22−2i2i2i−2i000000000000000000000000
χ882-2-222-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000-222-200000000−2i2i2i−2i0000-222-22i−2i−2i2i00000000-222-22i−2i−2i2i000000000000000000000000
χ89888-8-8-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ918-888-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8-8-8888000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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