Finite Group Databasebeta

← Group #495356

Character table — Group #495356

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order1222222244444444222244444444444488888888888888884444888888881616161616161616161616161616161616161616161616161616161616161616444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-11-11-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-1
χ1811-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-11-11-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iii−i−iii-11-11-11-11
χ1911-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-11-11-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−iii−i−i-11-11-11-11
χ2011-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-11-11-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii1-11-11-11-1
χ2111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-11-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ2211-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-11-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iiiii−i−iii−i−i-11-111-11-1
χ2311-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-11-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i−i−iii−i−iii-11-111-11-1
χ2411-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-11-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ2511-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iii1-1-111-1-11
χ2611-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i-111-1-111-1
χ2711-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii-111-1-111-1
χ2811-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-111-1-11
χ2911-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1
χ3011-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−i−i−iii-111-11-1-11
χ3111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iiiii−i−i-111-11-1-11
χ3211-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ342222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-222222222-2-20000000000000000-2-2-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000
χ362222222222222222-2-2-2-2-2-222222222-2-20000000000000000-2-2-2-200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022220000000022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222200000000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-20000000000000000-2-2220000000022−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−222000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-20000000000000000-2-22200000000−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000022-2-20000000022−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−2000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000022-2-200000000−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−222000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ452222-2-2-2-222-2-222-2-22-22-22-2000000002-222-2-22222-2-222-2-2-2-200000000000000000000000000000000000000000000000000002-22-22-22-200000000
χ462222-2-2-2-222-2-222-2-22-22-22-2000000002-222-2-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ472222-2-2-2-222-2-222-2-22-22-22-2000000002-2-2-222-2-2-2-222-2-22222000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ482222-2-2-2-222-2-222-2-22-22-22-2000000002-2-2-222-2-2-2-222-2-2222200000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ492222-2-2-2-2-2-222-2-222-22-222-2000000002-222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ502222-2-2-2-2-2-222-2-222-22-222-2000000002-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000-22-222-22-200000000
χ512222-2-2-2-2-2-222-2-222-22-222-2000000002-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ522222-2-2-2-2-2-222-2-222-22-222-2000000002-2-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ5322-2-222-2-222-2-2-2-2222-2-22-22000000002-222-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ5422-2-222-2-222-2-2-2-2222-2-22-22000000002-222-2-2-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ5522-2-222-2-222-2-2-2-2222-2-22-22000000002-2-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ5622-2-222-2-222-2-2-2-2222-2-22-22000000002-2-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000000000-222-2-222-20000000000000000
χ5722-2-222-2-2-2-22222-2-2-222-2-22000000002-222-2-2-2-2-2-22222-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ5822-2-222-2-2-2-22222-2-2-222-2-22000000002-222-2-2-2-2-2-22222-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ5922-2-222-2-2-2-22222-2-2-222-2-22000000002-2-2-2222222-2-2-2-222-2-2000000000000000000000000000000000000000000002-2-22-222-20000000000000000
χ6022-2-222-2-2-2-22222-2-2-222-2-22000000002-2-2-2222222-2-2-2-222-2-200000000000000000000000000000000000000000000-222-22-2-220000000000000000
χ6122-2-2-2-2222222-2-2-2-222-2-2-2-222-2-222-2-222-2-2-2-222-2-2-2-22222222-22-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ6222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-222-2-22222-2-2-2-222-2-2-2-2222222-22-2222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ6322-2-2-2-2222222-2-2-2-2-2-2222222-2-222-2-2-2-20000000000000000-22-2200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ6422-2-2-2-2222222-2-2-2-2-2-2222222-2-222-2-2-2-20000000000000000-22-2200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ6522-2-2-2-2222222-2-2-2-2-2-22222-2-222-2-222-2-200000000000000002-22-200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ6622-2-2-2-2222222-2-2-2-2-2-22222-2-222-2-222-2-200000000000000002-22-200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ6722-2-2-2-222-2-2-2-2222222-2-22222-2-2-2-222-2-20000000000000000-222-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ6822-2-2-2-222-2-2-2-2222222-2-22222-2-2-2-222-2-20000000000000000-222-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ6922-2-2-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000002-2-2200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ7022-2-2-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000002-2-2200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ7122-2-2-2-222-2-2-2-22222-2-222-2-222-2-2-2-22222-2-2-2-2222222-2-2-2-2222-2-22-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ7222-2-2-2-222-2-2-2-22222-2-222-2-2-2-22222-2-222-2-2-2-2222222-2-2-2-222-222-222-2-2-2-22200000000000000000000000000000000000000000000000000000000
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χ1054444-4-4-4-444-4-444-4-4-44-44-4400000000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064444-4-4-4-4-4-444-4-4444-44-4-4400000000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-444-4-444-4-4-4-444-444-44-400000000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-444-4-4-4-44444-4-44-4-444-400000000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-44-4-44-444i−4i−4i4i4i−4i−4i4i000000000000000022−22−222222−222i2−2i2−2i22i22i2−2i2−2i22i2−222200000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-4-44-444i−4i−4i4i4i−4i−4i4i0000000000000000−222222−22−2222−2i22i22i2−2i2−2i22i22i2−2i222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-4-44-44−4i4i4i−4i−4i4i4i−4i000000000000000022−22−222222−22−2i22i22i2−2i2−2i22i22i2−2i2−222200000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-4-44-44−4i4i4i−4i−4i4i4i−4i0000000000000000−222222−22−22222i2−2i2−2i22i22i2−2i2−2i22i222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-444-4-444i−4i−4i4i−4i4i4i−4i000000000000000022−22−2222−22222i2−2i2−2i22i2−2i22i22i2−2i222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-444-4-444i−4i−4i4i−4i4i4i−4i0000000000000000−222222−2222−22−2i22i22i2−2i22i2−2i2−2i22i2−222200000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-444-4-44−4i4i4i−4i4i−4i−4i4i000000000000000022−22−2222−2222−2i22i22i2−2i22i2−2i2−2i22i222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-444-4-44−4i4i4i−4i4i−4i−4i4i0000000000000000−222222−2222−222i2−2i2−2i22i2−2i22i22i2−2i2−222200000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.