Finite Group Databasebeta

← Group #13160039

Character table — Group #13160039

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242424242424363654547272727272108108108
order12223333344666666666666666333366666666666688121212121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424224666666661212121212121212222226666488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ5111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-111-1-11-1-1
χ6111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111
χ7111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-111
χ8111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1111-1-1111-1-1
χ9222222222-2-2222222222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000002200000-200
χ10222222222-2-2222222222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000-2-200000200
χ1122222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000022002-1-1-1-1000
χ1222222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-200-21111000
χ1322222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111111100000000000000000002200-2-1-111000
χ1422222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111111110000000000000000000-2-200211-1-1000
χ1522222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1622222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2-2111111000000000000
χ1722222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111122-222-1-1-1-1-1-1-2-2111111000000000000
χ1822222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-2-22-2-211111122-1-1-1-1-1-1000000000000
χ192222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ202222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111111-2-21111000000000000
χ212222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-2111111111111111122-2-1-122-1-1-1-111-2-21111000000000000
χ222222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111-2-2211-2-21111-1-122-1-1-1-1000000000000
χ232222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ242222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-21111-2-2111111-2-211000000000000
χ252222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111122-2-1-1-1-122-1-11111-2-211000000000000
χ262222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111-2-221111-2-211-1-1-1-122-1-1000000000000
χ272222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ282222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2111111-2-2111111-2-2000000000000
χ292222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-222-2-1-1-1-1-1-122111111-2-2000000000000
χ302222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-122000000000000
χ312-22-22222200-2-2-2-22-2-2-2-2-2-2222222222-22-22-22-2-2-2-2-22−20000000000000000000000000022−2−222−2−222−2−222−2−222−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000000000000002-20000002−2
χ322-22-22222200-2-2-2-22-2-2-2-2-2-2222222222-22-22-22-2-2-2-2-22−20000000000000000000000000022−2−222−2−222−2−222−2−222−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000000000000-22000000−22
χ332-22-22222200-2-2-2-22-2-2-2-2-2-2222222222-22-22-22-2-2-2-2-2−2200000000000000000000000000−2−222−2−222−2−222−2−222−2−222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000000000000002-2000000−22
χ342-22-22222200-2-2-2-22-2-2-2-2-2-2222222222-22-22-22-2-2-2-2-2−2200000000000000000000000000−2−222−2−222−2−222−2−222−2−222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000000000000-220000002−2
χ352-2-22222222-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222000000000000000000000000000000000000000000000000000000000000000000000002-20002-200000
χ362-2-22222222-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222200000000000000000000000000000000000000000000000000000000000000000000000-22000-2200000
χ372-2-2222222-22-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222002222222222222-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002-202-22-22-22-200000000000000000000
χ382-2-2222222-22-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222002222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-220-22-22-22-2200000000000000000000
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χ402-2-222222-12-2-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-100-2-2-2-21111111112222-1-1-1-1-1-1-1-1-10000000000000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000000-220001-1i3−i3000
χ412-2-222222-12-2-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-100-2-2-2-21111111112222-1-1-1-1-1-1-1-1-10000000000000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000002-2000-11i3−i3000
χ422-2-222222-12-2-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-100-2-2-2-21111111112222-1-1-1-1-1-1-1-1-10000000000000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000000-220001-1−i3i3000
χ432-2-222-1-1-12-22-2111-2-22-1-1-12-21112-1-1-1-2-21111112-1-1-1002-1-1-1222-1-1-1-1-1-1-2111-2-2-211111100003−33−33−33−33−33−30000000000003−33−33−33−33−33−33−33−33−33−33−33−32-202-2-11-11-11003−33−33−3000000000000
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χ452-2-222-1-1-12-22-2111-2-22-1-1-12-21112-1-1-1-2-21111112-1-1-1002-1-1-1222-1-1-1-1-1-1-2111-2-2-21111110000−33−33−33−33−33−33000000000000−33−33−33−33−33−33−33−33−33−33−33−332-202-2-11-11-1100−33−33−33000000000000
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χ472-2-22-12-1-12-221-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-211113−33−300003−33−3−33−3300003−33−33−33−3000000003−33−33−33−3−33−33−33−332-20-112-2-11-113−3003−3−33000000000000
χ482-2-22-12-1-12-221-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-211113−33−300003−33−3−33−3300003−33−33−33−3000000003−33−33−33−3−33−33−33−33-2201-1-221-11-1−3300−333−3000000000000
χ492-2-22-12-1-12-221-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-21111−33−330000−33−333−33−30000−33−33−33−3300000000−33−33−33−333−33−33−33−32-20-112-2-11-11−3300−333−3000000000000
χ502-2-22-12-1-12-221-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-21111−33−330000−33−333−33−30000−33−33−33−3300000000−33−33−33−333−33−33−33−3-2201-1-221-11-13−3003−3−33000000000000
χ512-2-22-1-12-12-2211-21-2-2-1-12-1211-21-1-12-11111-2-211-1-12-100-1-12-12-1-1-1-122-1-111-21-21111-2-2113−33−3−33−3300003−33−300003−33−33−33−3−33−33−33−33000000003−33−33−33−32-20-11-112-2-113−3−33003−3000000000000
χ522-2-22-1-12-12-2211-21-2-2-1-12-1211-21-1-12-11111-2-211-1-12-100-1-12-12-1-1-1-122-1-111-21-21111-2-2113−33−3−33−3300003−33−300003−33−33−33−3−33−33−33−33000000003−33−33−33−3-2201-11-1-221-1−333−300−33000000000000
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χ1394-4-44-24-2-244-42-422-4-4-24-2-242-422-24-2-222-4-42222-24-2-2002-422-422-4-42222-24-2-24-2-244-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-44-24-2-2-24-42-42222-24-2-2-22-4221-211-1-122-1-1-1-11-211002-4222-1-122-1-1-1-1-24-2-2-211-2-211110000000000000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.