Finite Group Databasebeta

← Group #13161486

Character table — Group #13161486

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636727272727272727272727272
order12223334466666666612121212333334466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212888824242424242424242244666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1
χ6111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111
χ7111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ8111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ92222222-2-2222222222-2-2-2-2222222-2222222222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ102222222-2-2222222222-2-2-2-222222-22222222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222000000000000000000000000
χ11222222-1222222-1-1-12222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000
χ12222222-1222222-1-1-12222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-20011110000
χ13222222-1222222-1-1-12222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-211-2-211-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110000000000002-200-1-1110000
χ14222222-1222222-1-1-12222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-211-2-211-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-21111111111111111000000000000-220011-1-10000
χ15222222-1-2-22222-1-1-122-2-2-2-22-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-21122-1-1-2-21122-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000000000000000−i3i3−i3i30000
χ16222222-1-2-22222-1-1-122-2-2-2-22-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-21122-1-1-2-21122-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000000000000000i3−i3i3−i30000
χ17222222-1-2-22222-1-1-122-2-2-2-22-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000−i3i3i3−i30000
χ18222222-1-2-22222-1-1-122-2-2-2-22-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000i3−i3−i3i30000
χ1922222-1222222-1222-1-12222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1
χ2022222-1222222-1222-1-12222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200001111
χ2122222-1222222-1222-1-12222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111000000000000002-20000-1-111
χ2222222-1222222-1222-1-12222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000000000000-22000011-1-1
χ2322222-12-2-2222-1222-1-1-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-111-2-22222-2-2-2-2-1-1111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000000000000000000−i3i3−i3i3
χ2422222-12-2-2222-1222-1-1-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-111-2-22222-2-2-2-2-1-1111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000000000000000000i3−i3i3−i3
χ2522222-12-2-2222-1222-1-1-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2222211-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000−i3i3i3−i3
χ2622222-12-2-2222-1222-1-1-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2222211-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000i3−i3−i3i3
χ272222-12222-1-1-1222222-1-1-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222-1-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ282222-12222-1-1-1222222-1-1-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222-1-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ292222-12222-1-1-1222222-1-1-1-1-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1222211-2-211-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-21111111122-2-2-1-1-1-11111000000000000
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χ312222-122-2-2-1-1-12222221111-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-1-12211-2-222-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000033−3−333−3−3000000000000
χ322222-122-2-2-1-1-12222221111-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-1-12211-2-222-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000−3−333−3−333000000000000
χ332222-122-2-2-1-1-12222221111-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-211-2-2-1-122-2-22211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000033−3−3−3−333000000000000
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χ3522-2-22222-22-2-222-2-2-2-222-2-222222002-2-22-2-22-2-222-2-2-2-22-22-200000000000022-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000002i−2i00002i−2i2i−2i000000000000
χ3622-2-22222-22-2-222-2-2-2-222-2-222222002-2-22-2-22-2-222-2-2-2-22-22-200000000000022-2-222-2-222-2-22222-2-2-2-2000000000000000000000000000000000000000000−2i2i0000−2i2i−2i2i000000000000
χ3722-2-2222-222-2-222-2-2-2-2-2-22222222002-2-22-2-22-2-222-2-2-2-2-22-22000000000000-2-222-2-222-2-222-2-2-2-2222200000000000000000000000000000000000000002i−2i002i−2i2i−2i0000000000000000
χ3822-2-2222-222-2-222-2-2-2-2-2-22222222002-2-22-2-22-2-222-2-2-2-2-22-22000000000000-2-222-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000−2i2i00−2i2i−2i2i0000000000000000
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χ4022-2-2-1222-2-11122-2-2-2-2-1-111-1-12-1-100-111-1112-2-2-1-111112-22-23−3003−3000000-1-111-1-11122-2-2-1-1-1-1111133−3−333−3−300003333−3−3−3−333−3−333−3−300003333−3−3−3−300−2i2ii3−i3−i3i3i−ii−i000000000000
χ4122-2-2-1222-2-11122-2-2-2-2-1-111-1-12-1-100-111-1112-2-2-1-111112-22-2−3300−33000000-1-111-1-11122-2-2-1-1-1-11111−3−333−3−3330000−3−3−3−33333−3−333−3−3330000−3−3−3−33333002i−2ii3−i3−i3i3−ii−ii000000000000
χ4222-2-2-1222-2-11122-2-2-2-2-1-111-1-12-1-100-111-1112-2-2-1-111112-22-2−3300−33000000-1-111-1-11122-2-2-1-1-1-11111−3−333−3−3330000−3−3−3−33333−3−333−3−3330000−3−3−3−3333300−2i2i−i3i3i3−i3i−ii−i000000000000
χ4322-2-2-122-22-11122-2-2-2-211-1-1-1-12-1-100-111-1112-2-2-1-11111-22-223−300−3300000011-1-111-1-1-2-2221111-1-1-1-133−3−333−3−300003333−3−3−3−3−3−333−3−3330000−3−3−3−333332i−2i00−ii−iii3−i3−i3i3000000000000
χ4422-2-2-122-22-11122-2-2-2-211-1-1-1-12-1-100-111-1112-2-2-1-11111-22-223−300−3300000011-1-111-1-1-2-2221111-1-1-1-133−3−333−3−300003333−3−3−3−3−3−333−3−3330000−3−3−3−33333−2i2i00i−ii−i−i3i3i3−i3000000000000
χ4522-2-2-122-22-11122-2-2-2-211-1-1-1-12-1-100-111-1112-2-2-1-11111-22-22−33003−300000011-1-111-1-1-2-2221111-1-1-1-1−3−333−3−3330000−3−3−3−3333333−3−333−3−300003333−3−3−3−32i−2i00−ii−ii−i3i3i3−i3000000000000
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χ5044444-2-2-4-4444-2-2-2-2-2-2-4-4-4-4-2-2111-44-2-2-2-2-2-21111111112222-4-42244-2-222-2-222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ514444-24-244-2-2-24-2-2-244-2-2-2-2-21-21144-2-2-2111-2-2-211111144-2-2-2-2-2-2-2-2-2-24444-2-2-2-21111-2-2-2-211111111-2-2-2-21111-2-2-2-211111111-2-2-2-21111-2-2-2-211111111000000000000000000000000
χ524444-24-244-2-2-24-2-2-244-2-2-2-2-21-211-4-4-2-2-2111-2-2-211111144-2-222222222-4-4-4-4-2-2-2-21111-2-2-2-2111111112222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ534444-24-2-4-4-2-2-24-2-2-2442222-21-2114-4-2-2-2111-2-2-2111111-4-422-2-2-2-2222244-4-42222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111112222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.