Finite Group Databasebeta

← Group #13144859

Character table — Group #13144859

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111111122222222222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order1222336666662244446666121212121212121222446666121212123333666666666666121212121212121212121212121212126666666666666666666666661212121212121212121212121212121212121212121212124444888812121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
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χ111-11-111-1-111-1-11-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121-11-111-1-111-1-11-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
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χ141-11-111-1-111-1-1-111-11-1-1-11111-1-111-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151-11-111-1-111-1-1-111-11-1-1-11111-1-111-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161-11-111-1-111-1-1-111-11-1-1-11111-1-111-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
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χ21222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000000000
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χ23222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-11111-2-2111111-2-211-1-12-1-1-12-11111-2-2111111-2-211000000000000000000000000
χ24222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12111111-2-2111111-2-2-1-1-12-1-1-12111111-2-2111111-2-2000000000000000000000000
χ2522222222222222-2-2-2-22222-2-2-2-2-2-2-2-20000000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
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χ2722222222222222-2-2-2-22222-2-2-2-2-2-2-2-20000000000002-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-21111112-1-1-12-1-1-100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3-2111-211100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000000000000000
χ2822222222222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-12-1-1-12-1-1−i3i300−i3i3i3−i3−i3i300−i3i3i3−i31-2111-211−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3000000000000000000000000
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χ3122222222222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000-1-12-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-211-1-12-1-1-12-1i3−i3−i3i300i3−i3i3−i3−i3i300i3−i311-2111-21i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3000000000000000000000000
χ3222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2-1-1-12-1-1-12−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300111-2111-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.