Finite Group Databasebeta

← Group #13144857

Character table — Group #13144857

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11111111111122222244444466666666666666661212121212121212121212121212121212121212121212121818181818181818181818183636363636361111111111112222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636
order1233446612121212246612122466121233336666121212121212121266666666666612121212121212121212121244441212121212121212882424242422664466121212122466121224661212666666661212121212121212666666666666121212121212121212121212444412121212121212128824242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-111-1-1-1-1-11-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−ii−iii−i−i1111-1-111-1-1-1-1-11-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−ii−iii−i−i
χ61111-1-111-1-1-1-1-11-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−ii−i−iii1111-1-111-1-1-1-1-11-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−ii−i−iii
χ71111-1-111-1-1-1-1-11-1-111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−iiiii−i−i−i−i−ii−i−iii1111-1-111-1-1-1-1-11-1-111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−iiiii−i−i−i−i−ii−i−iii
χ81111-1-111-1-1-1-1-11-1-111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii−i−i−i−iiiiii−iii−i−i1111-1-111-1-1-1-1-11-1-111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii−i−i−i−iiiiii−iii−i−i
χ92222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-10000000000000000002222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1000000000000000000
χ10222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1000000000000000000222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1000000000000000000
χ11222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1000000000000000000222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1000000000000000000
χ12222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122000000000000000000222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122000000000000000000
χ13222222222222222222-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-21111112-1-1-1-2-2111111000000000000000000222222222222222222-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-21111112-1-1-1-2-2111111000000000000000000
χ14222222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-12-1-111-2-21111-12-1-111-2-21111000000000000000000222222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-12-1-111-2-21111-12-1-111-2-21111000000000000000000
χ15222222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-12-11111-2-211-1-12-11111-2-211000000000000000000222222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-12-11111-2-211-1-12-11111-2-211000000000000000000
χ16222222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2-1-1-12111111-2-2000000000000000000222222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2-1-1-12111111-2-2000000000000000000
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χ18222222222222-2-2-2-2-2-20000002-1-1-12-1-1-122-1-1-1-1-1-1-211100−i3i3−i3i3−i3i3-211100−i3i3−i3i3−i3i3000000000000000000222222222222-2-2-2-2-2-20000002-1-1-12-1-1-122-1-1-1-1-1-1-211100−i3i3−i3i3−i3i3-211100−i3i3−i3i3−i3i3000000000000000000
χ19222222222222-2-2-2-2-2-20000002-1-1-12-1-1-122-1-1-1-1-1-1-211100i3−i3i3−i3i3−i3-211100i3−i3i3−i3i3−i3000000000000000000222222222222-2-2-2-2-2-20000002-1-1-12-1-1-122-1-1-1-1-1-1-211100i3−i3i3−i3i3−i3-211100i3−i3i3−i3i3−i3000000000000000000
χ20222222222222-2-2-2-2-2-2000000-12-1-1-12-1-1-1-122-1-1-1-11-211−i3i300−i3i3i3−i31-211−i3i300−i3i3i3−i3000000000000000000222222222222-2-2-2-2-2-2000000-12-1-1-12-1-1-1-122-1-1-1-11-211−i3i300−i3i3i3−i31-211−i3i300−i3i3i3−i3000000000000000000
χ21222222222222-2-2-2-2-2-2000000-12-1-1-12-1-1-1-122-1-1-1-11-211i3−i300i3−i3−i3i31-211i3−i300i3−i3−i3i3000000000000000000222222222222-2-2-2-2-2-2000000-12-1-1-12-1-1-1-122-1-1-1-11-211i3−i300i3−i3−i3i31-211i3−i300i3−i3−i3i3000000000000000000
χ22222222222222-2-2-2-2-2-2000000-1-12-1-1-12-1-1-1-1-122-1-111-21−i3i3i3−i300−i3i311-21−i3i3i3−i300−i3i3000000000000000000222222222222-2-2-2-2-2-2000000-1-12-1-1-12-1-1-1-1-122-1-111-21−i3i3i3−i300−i3i311-21−i3i3i3−i300−i3i3000000000000000000
χ23222222222222-2-2-2-2-2-2000000-1-12-1-1-12-1-1-1-1-122-1-111-21i3−i3−i3i300i3−i311-21i3−i3−i3i300i3−i3000000000000000000222222222222-2-2-2-2-2-2000000-1-12-1-1-12-1-1-1-1-122-1-111-21i3−i3−i3i300i3−i311-21i3−i3−i3i300i3−i3000000000000000000
χ24222222222222-2-2-2-2-2-2000000-1-1-12-1-1-12-1-1-1-1-1-122111-2−i3i3−i3i3i3−i300111-2−i3i3−i3i3i3−i300000000000000000000222222222222-2-2-2-2-2-2000000-1-1-12-1-1-12-1-1-1-1-1-122111-2−i3i3−i3i3i3−i300111-2−i3i3−i3i3i3−i300000000000000000000
χ25222222222222-2-2-2-2-2-2000000-1-1-12-1-1-12-1-1-1-1-1-122111-2i3−i3i3−i3−i3i300111-2i3−i3i3−i3−i3i300000000000000000000222222222222-2-2-2-2-2-2000000-1-1-12-1-1-12-1-1-1-1-1-122111-2i3−i3i3−i3−i3i300111-2i3−i3i3−i3−i3i300000000000000000000
χ262222-2-222-2-2-2-22-222-2-200000022222222-2-2-2-2-2-2-2-2222200000000-2-2-2-2000000000000000000000000002222-2-222-2-2-2-22-222-2-200000022222222-2-2-2-2-2-2-2-2222200000000-2-2-2-200000000000000000000000000
χ272222-2-222-2-2-2-22-222-2-20000002-1-1-12-1-1-1-2-21111112-1-1-100−i3i3−i3i3−i3i3-211100i3−i3i3−i3i3−i30000000000000000002222-2-222-2-2-2-22-222-2-20000002-1-1-12-1-1-1-2-21111112-1-1-100−i3i3−i3i3−i3i3-211100i3−i3i3−i3i3−i3000000000000000000
χ282222-2-222-2-2-2-22-222-2-20000002-1-1-12-1-1-1-2-21111112-1-1-100i3−i3i3−i3i3−i3-211100−i3i3−i3i3−i3i30000000000000000002222-2-222-2-2-2-22-222-2-20000002-1-1-12-1-1-1-2-21111112-1-1-100i3−i3i3−i3i3−i3-211100−i3i3−i3i3−i3i3000000000000000000
χ292222-2-222-2-2-2-22-222-2-2000000-12-1-1-12-1-111-2-21111-12-1-1−i3i300−i3i3i3−i31-211i3−i300i3−i3−i3i30000000000000000002222-2-222-2-2-2-22-222-2-2000000-12-1-1-12-1-111-2-21111-12-1-1−i3i300−i3i3i3−i31-211i3−i300i3−i3−i3i3000000000000000000
χ302222-2-222-2-2-2-22-222-2-2000000-12-1-1-12-1-111-2-21111-12-1-1i3−i300i3−i3−i3i31-211−i3i300−i3i3i3−i30000000000000000002222-2-222-2-2-2-22-222-2-2000000-12-1-1-12-1-111-2-21111-12-1-1i3−i300i3−i3−i3i31-211−i3i300−i3i3i3−i3000000000000000000
χ312222-2-222-2-2-2-22-222-2-2000000-1-12-1-1-12-11111-2-211-1-12-1−i3i3i3−i300−i3i311-21i3−i3−i3i300i3−i30000000000000000002222-2-222-2-2-2-22-222-2-2000000-1-12-1-1-12-11111-2-211-1-12-1−i3i3i3−i300−i3i311-21i3−i3−i3i300i3−i3000000000000000000
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χ332222-2-222-2-2-2-22-222-2-2000000-1-1-12-1-1-12111111-2-2-1-1-12−i3i3−i3i3i3−i300111-2i3−i3i3−i3−i3i3000000000000000000002222-2-222-2-2-2-22-222-2-2000000-1-1-12-1-1-12111111-2-2-1-1-12−i3i3−i3i3i3−i300111-2i3−i3i3−i3−i3i300000000000000000000
χ342222-2-222-2-2-2-22-222-2-2000000-1-1-12-1-1-12111111-2-2-1-1-12i3−i3i3−i3−i3i300111-2−i3i3−i3i3i3−i3000000000000000000002222-2-222-2-2-2-22-222-2-2000000-1-1-12-1-1-12111111-2-2-1-1-12i3−i3i3−i3−i3i300111-2−i3i3−i3i3i3−i300000000000000000000
χ352222-2-222-2-2-2-2-22-2-2222-222-2-22-1-1-12-1-1-1-2-2111111-211122-1-1-1-1-1-12-1-1-1-2-21111110000000000000000002222-2-222-2-2-2-2-22-2-2222-222-2-22-1-1-12-1-1-1-2-2111111-211122-1-1-1-1-1-12-1-1-1-2-2111111000000000000000000
χ362222-2-222-2-2-2-2-22-2-2222-222-2-2-12-1-1-12-1-111-2-211111-211-1-122-1-1-1-1-12-1-111-2-211110000000000000000002222-2-222-2-2-2-2-22-2-2222-222-2-2-12-1-1-12-1-111-2-211111-211-1-122-1-1-1-1-12-1-111-2-21111000000000000000000
χ372222-2-222-2-2-2-2-22-2-2222-222-2-2-1-12-1-1-12-11111-2-21111-21-1-1-1-122-1-1-1-12-11111-2-2110000000000000000002222-2-222-2-2-2-2-22-2-2222-222-2-2-1-12-1-1-12-11111-2-21111-21-1-1-1-122-1-1-1-12-11111-2-211000000000000000000
χ382222-2-222-2-2-2-2-22-2-2222-222-2-2-1-1-12-1-1-12111111-2-2111-2-1-1-1-1-1-122-1-1-12111111-2-20000000000000000002222-2-222-2-2-2-2-22-2-2222-222-2-2-1-1-12-1-1-12111111-2-2111-2-1-1-1-1-1-122-1-1-12111111-2-2000000000000000000
χ392222-2-222-2-2-2-2-22-2-222-22-2-2222-1-1-12-1-1-1-2-2111111-2111-2-21111112-1-1-122-1-1-1-1-1-10000000000000000002222-2-222-2-2-2-2-22-2-222-22-2-2222-1-1-12-1-1-1-2-2111111-2111-2-21111112-1-1-122-1-1-1-1-1-1000000000000000000
χ402222-2-222-2-2-2-2-22-2-222-22-2-222-12-1-1-12-1-111-2-211111-21111-2-21111-12-1-1-1-122-1-1-1-10000000000000000002222-2-222-2-2-2-2-22-2-222-22-2-222-12-1-1-12-1-111-2-211111-21111-2-21111-12-1-1-1-122-1-1-1-1000000000000000000
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χ452-222−2i2i-2-2−2i−2i2i2i0000000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000001−i−1+i1+i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000002-222−2i2i-2-2−2i−2i2i2i0000000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000001−i−1+i1+i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000
χ462-222−2i2i-2-2−2i−2i2i2i0000000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−1+i1−i−1−i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000002-222−2i2i-2-2−2i−2i2i2i0000000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−1+i1−i−1−i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.