Finite Group Databasebeta

← Group #6630213

Character table — Group #6630213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222244444444444444444444444444444444444444444444444444444488888888161616161616161616161616
order12222222444444444444444422222244444444444444444444444444444444444444444444444488888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111111111-1-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ9111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1
χ10111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111
χ11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ12111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ1711111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-111-1-11-11-11-11-11-11-1
χ1811111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-111-1-111-11-11-11-11-11-11
χ1911111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-11-11-11
χ2011111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-11-11-1
χ2111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-11-11-11-111-11-1
χ2211111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1111-11-11-11-1-11-11
χ2311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-111-1-111-1-11-11
χ2411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1111-1-111-1-111-11-1
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-111-11-1-11
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111-11-1-11-111-1
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-11-11-111-1
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-111-11-11-1-11
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-111-11-1-111-1-11
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-11-1-11-111-1-111-1
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-11-111-11-1-111-1
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-11111-1-11-11-1-11-111-1-11
χ332222222222222222-2-2-2-2-2-2-2-200002222-2-2-2-2000022-2-20000-2-20000-2-22200000000220000-2-2000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-20000-2-22222-2-20000-2-2220000-2-2000022-2-200000000-2-2000022000000000000000000000000
χ35222222222222-2-2-2-22222-2-2-2-2000022-2-222-2-2000022-2-2000022000022-2-200000000-2-20000-2-2000000000000000000000000
χ36222222222222-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-20000-2-2220000220000-2-2220000000022000022000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-2000022-2-222220000-2-2220000220000-2-2-2-200000000220000-2-2000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2-2-2-2-222000022-2-20000220000222200000000-2-2000022000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-200002222-2-2220000-2-2220000-2-20000222200000000-2-20000-2-2000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2222222000022-2-20000-2-20000-2-2-2-20000000022000022000000000000000000000000
χ4122-2-22-2-2200002i2i−2i−2i2i2i−2i−2i2-22-2000000002-2002i2i−2i−2i2i−2i2i−2i00000022-2-2002-200000000002i2i−2i−2i0022-2-200000000000000000000
χ4222-2-22-2-2200002i2i−2i−2i2i2i−2i−2i2-22-2000000002-200−2i−2i2i2i2i−2i2i−2i000000-2-222002-20000000000−2i−2i2i2i00-2-22200000000000000000000
χ4322-2-22-2-2200002i2i−2i−2i2i2i−2i−2i2-22-200000000-22002i2i−2i−2i−2i2i−2i2i00000022-2-200-220000000000−2i−2i2i2i00-2-22200000000000000000000
χ4422-2-22-2-2200002i2i−2i−2i2i2i−2i−2i2-22-200000000-2200−2i−2i2i2i−2i2i−2i2i000000-2-22200-2200000000002i2i−2i−2i0022-2-200000000000000000000
χ4522-2-22-2-2200002i2i−2i−2i−2i−2i2i2i-22-2222-2-200002-2000000−2i2i2i−2i2i2i−2i−2i00000000-2222-2-22i2i−2i−2i00000000000000000000000000000000
χ4622-2-22-2-2200002i2i−2i−2i−2i−2i2i2i-22-2222-2-20000-220000002i−2i−2i2i−2i−2i2i2i000000002-2-2-2222i2i−2i−2i00000000000000000000000000000000
χ4722-2-22-2-2200002i2i−2i−2i−2i−2i2i2i-22-22-2-22200002-2000000−2i2i2i−2i−2i−2i2i2i00000000-22-2-222−2i−2i2i2i00000000000000000000000000000000
χ4822-2-22-2-2200002i2i−2i−2i−2i−2i2i2i-22-22-2-2220000-220000002i−2i−2i2i2i2i−2i−2i000000002-222-2-2−2i−2i2i2i00000000000000000000000000000000
χ4922-2-22-2-220000−2i−2i2i2i2i2i−2i−2i-22-2222-2-200002-20000002i−2i−2i2i−2i−2i2i2i00000000-2222-2-2−2i−2i2i2i00000000000000000000000000000000
χ5022-2-22-2-220000−2i−2i2i2i2i2i−2i−2i-22-2222-2-20000-22000000−2i2i2i−2i2i2i−2i−2i000000002-2-2-222−2i−2i2i2i00000000000000000000000000000000
χ5122-2-22-2-220000−2i−2i2i2i2i2i−2i−2i-22-22-2-22200002-20000002i−2i−2i2i2i2i−2i−2i00000000-22-2-2222i2i−2i−2i00000000000000000000000000000000
χ5222-2-22-2-220000−2i−2i2i2i2i2i−2i−2i-22-22-2-2220000-22000000−2i2i2i−2i−2i−2i2i2i000000002-222-2-22i2i−2i−2i00000000000000000000000000000000
χ5322-2-22-2-220000−2i−2i2i2i−2i−2i2i2i2-22-2000000002-2002i2i−2i−2i−2i2i−2i2i000000-2-222002-200000000002i2i−2i−2i00-2-22200000000000000000000
χ5422-2-22-2-220000−2i−2i2i2i−2i−2i2i2i2-22-2000000002-200−2i−2i2i2i−2i2i−2i2i00000022-2-2002-20000000000−2i−2i2i2i0022-2-200000000000000000000
χ5522-2-22-2-220000−2i−2i2i2i−2i−2i2i2i2-22-200000000-22002i2i−2i−2i2i−2i2i−2i000000-2-22200-220000000000−2i−2i2i2i0022-2-200000000000000000000
χ5622-2-22-2-220000−2i−2i2i2i−2i−2i2i2i2-22-200000000-2200−2i−2i2i2i2i−2i2i−2i00000022-2-200-2200000000002i2i−2i−2i00-2-22200000000000000000000
χ572-222-2-2-2222-2-22i−2i2i−2i2i−2i2i−2i2-2-222-22-2002i−2i002-22-22-2000000002i−2i2i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000000000
χ582-222-2-2-2222-2-22i−2i2i−2i2i−2i2i−2i2-2-22-22-22002i−2i002-2-22-22000000002i−2i−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000000000000000
χ592-222-2-2-2222-2-22i−2i2i−2i−2i2i−2i2i-222-20000002i−2i00-22000000002-22-2−2i2i000000002i−2i2i−2i0000002i−2i2i−2i002-22-200000000000000000000
χ602-222-2-2-2222-2-22i−2i2i−2i−2i2i−2i2i-222-20000002i−2i00-2200000000-22-22−2i2i00000000−2i2i−2i2i000000−2i2i−2i2i00-22-2200000000000000000000
χ612-222-2-2-2222-2-2−2i2i−2i2i2i−2i2i−2i-222-2000000−2i2i00-22000000002-22-22i−2i00000000−2i2i−2i2i000000−2i2i−2i2i002-22-200000000000000000000
χ622-222-2-2-2222-2-2−2i2i−2i2i2i−2i2i−2i-222-2000000−2i2i00-2200000000-22-222i−2i000000002i−2i2i−2i0000002i−2i2i−2i00-22-2200000000000000000000
χ632-222-2-2-2222-2-2−2i2i−2i2i−2i2i−2i2i2-2-222-22-200−2i2i002-22-22-200000000−2i2i−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000000000000000
χ642-222-2-2-2222-2-2−2i2i−2i2i−2i2i−2i2i2-2-22-22-2200−2i2i002-2-22-2200000000−2i2i2i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000000000
χ652-222-2-2-22-2-2222i−2i2i−2i2i−2i2i−2i2-2-222-22-200−2i2i00-22-22-2200000000−2i2i−2i2i−2i2i000000002i−2i2i−2i00000000000000000000000000000000
χ662-222-2-2-22-2-2222i−2i2i−2i2i−2i2i−2i2-2-22-22-2200−2i2i00-222-22-200000000−2i2i2i−2i2i−2i00000000−2i2i−2i2i00000000000000000000000000000000
χ672-222-2-2-22-2-2222i−2i2i−2i−2i2i−2i2i-222-2000000−2i2i002-2000000002-22-22i−2i000000002i−2i2i−2i000000−2i2i−2i2i00-22-2200000000000000000000
χ682-222-2-2-22-2-2222i−2i2i−2i−2i2i−2i2i-222-2000000−2i2i002-200000000-22-222i−2i00000000−2i2i−2i2i0000002i−2i2i−2i002-22-200000000000000000000
χ692-222-2-2-22-2-222−2i2i−2i2i2i−2i2i−2i-222-20000002i−2i002-2000000002-22-2−2i2i00000000−2i2i−2i2i0000002i−2i2i−2i00-22-2200000000000000000000
χ702-222-2-2-22-2-222−2i2i−2i2i2i−2i2i−2i-222-20000002i−2i002-200000000-22-22−2i2i000000002i−2i2i−2i000000−2i2i−2i2i002-22-200000000000000000000
χ712-222-2-2-22-2-222−2i2i−2i2i−2i2i−2i2i2-2-222-22-2002i−2i00-22-22-22000000002i−2i2i−2i2i−2i00000000−2i2i−2i2i00000000000000000000000000000000
χ722-222-2-2-22-2-222−2i2i−2i2i−2i2i−2i2i2-2-22-22-22002i−2i00-222-22-2000000002i−2i−2i2i−2i2i000000002i−2i2i−2i00000000000000000000000000000000
χ732-2-2-2-222200002-2-222-2-2222-2-200002-20000002i−2i−2i2i00002i−2i−2i2i00−2i2i2i−2i2-200−2i2i2i−2i00002-200002-2000000000000000000000000
χ742-2-2-2-222200002-2-222-2-2222-2-200002-2000000−2i2i2i−2i0000−2i2i2i−2i002i−2i−2i2i2-2002i−2i−2i2i00002-200002-2000000000000000000000000
χ752-2-2-2-222200002-2-222-2-2222-2-20000-220000002i−2i−2i2i0000−2i2i2i−2i00−2i2i2i−2i-22002i−2i−2i2i0000-220000-22000000000000000000000000
χ762-2-2-2-222200002-2-222-2-2222-2-20000-22000000−2i2i2i−2i00002i−2i−2i2i002i−2i−2i2i-2200−2i2i2i−2i0000-220000-22000000000000000000000000
χ772-2-2-2-222200002-2-22-222-2-2-2222-2-222-2000000000000000000000000-220000002-2-222-2-222-2-22-222-200000000000000000000
χ782-2-2-2-222200002-2-22-222-2-2-2222-2-22-220000000000000000000000002-20000002-2-22-222-2-222-22-2-2200000000000000000000
χ792-2-2-2-222200002-2-22-222-2-2-222-222-22-2000000000000000000000000-22000000-222-22-22-2-22-222-2-2200000000000000000000
χ802-2-2-2-222200002-2-22-222-2-2-222-222-2-220000000000000000000000002-2000000-222-2-22-222-22-2-222-200000000000000000000
χ812-2-2-2-22220000-222-22-2-22-2-2222-2-222-20000000000000000000000002-2000000-222-2-222-2-22-22-222-200000000000000000000
χ822-2-2-2-22220000-222-22-2-22-2-2222-2-22-22000000000000000000000000-22000000-222-22-2-222-22-22-2-2200000000000000000000
χ832-2-2-2-22220000-222-22-2-22-2-222-222-22-20000000000000000000000002-20000002-2-22-22-222-2-222-2-2200000000000000000000
χ842-2-2-2-22220000-222-22-2-22-2-222-222-2-22000000000000000000000000-220000002-2-222-22-2-222-2-222-200000000000000000000
χ852-2-2-2-22220000-222-2-222-222-2-200002-20000002i−2i−2i2i00002i−2i−2i2i002i−2i−2i2i-22002i−2i−2i2i0000-2200002-2000000000000000000000000
χ862-2-2-2-22220000-222-2-222-222-2-200002-2000000−2i2i2i−2i0000−2i2i2i−2i00−2i2i2i−2i-2200−2i2i2i−2i0000-2200002-2000000000000000000000000
χ872-2-2-2-22220000-222-2-222-222-2-20000-220000002i−2i−2i2i0000−2i2i2i−2i002i−2i−2i2i2-200−2i2i2i−2i00002-20000-22000000000000000000000000
χ882-2-2-2-22220000-222-2-222-222-2-20000-22000000−2i2i2i−2i00002i−2i−2i2i00−2i2i2i−2i2-2002i−2i−2i2i00002-20000-22000000000000000000000000
χ89444-4-44-4-44-44-400000000000000000000000000000000000000000000000000000000000000000022−2222−220000000000000000
χ90444-4-44-4-44-44-4000000000000000000000000000000000000000000000000000000000000000000−2222−22220000000000000000
χ91444-4-44-4-4-44-4400000000000000000000000000000000000000000000000000000000000000000022−22−22220000000000000000
χ92444-4-44-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000−222222−220000000000000000
χ934-44-44-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ944-44-44-44-44-4-440000000000000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ954-44-44-44-4-444-400000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ964-44-44-44-4-444-40000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ9788-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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