Finite Group Databasebeta

← Group #13161818

Character table — Group #13161818

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636363636363636363636363636727272727272
order1222333444466666666612121212121212122333336666666666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244448888121212121212121224242424242424244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111-1-111111111111-1-1-1-11111-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-111
χ61111111-1-111111111111-1-1-1-11111-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1
χ71111111-1-111111111111-1-1-1-11111-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1
χ81111111-1-111111111111-1-1-1-11111-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-111
χ9222222222-2-22222222222222-2-2-2-2-222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222000000000000000000000000000000
χ102222222-2-2-2-2222222222-2-2-2-2-2-2-2-222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ11222222-122222222-12-1-12-1-1-1-1222222-1-1-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ12222222-122222222-12-1-12-1-1-1-1222222-1-1-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ13222222-122-2-22222-12-1-12-1-1-1-1-2-2-2-2-22-1-1-1-1-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-11122-2-222-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i300000000000000
χ14222222-122-2-22222-12-1-12-1-1-1-1-2-2-2-2-22-1-1-1-1-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-11122-2-222-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i300000000000000
χ15222222-1-2-2222222-12-1-1211112222-22-1-1-1-1-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-1-1-2-222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-2-20000-1-1-1-1111100000000000000
χ16222222-1-2-2222222-12-1-1211112222-22-1-1-1-1-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-1-1-2-222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-22200001111-1-1-1-100000000000000
χ17222222-1-2-2-2-22222-12-1-121111-2-2-2-222-1-1-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-2-2-2-2-2-2-21111111111111111-2-2-2-2111111111111111100000000−i3−i3i3i3i3i3−i3−i300000000000000
χ18222222-1-2-2-2-22222-12-1-121111-2-2-2-222-1-1-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-2-2-2-2-2-2-21111111111111111-2-2-2-2111111111111111100000000i3i3−i3−i3−i3−i3i3i300000000000000
χ1922222-12222222-122-122-1222222222-12-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-1
χ2022222-12222222-122-122-1222222222-12-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-21111
χ2122222-1222-2-222-122-122-12222-2-2-2-2-2-12-1-1-1-2-211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-22211-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000−i3i3−i3i3
χ2222222-1222-2-222-122-122-12222-2-2-2-2-2-12-1-1-1-2-211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-22211-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000i3−i3i3−i3
χ2322222-12-2-22222-122-122-1-2-2-2-22222-2-12-1-1-1-2-211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-2-2-1-111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110000000000000000000000002-211-1-1
χ2422222-12-2-22222-122-122-1-2-2-2-22222-2-12-1-1-1-2-211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-2-2-1-111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000000000000000000000-22-1-111
χ2522222-12-2-2-2-222-122-122-1-2-2-2-2-2-2-2-22-12-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-211111111111100000000000000000000000000−i3i3i3−i3
χ2622222-12-2-2-2-222-122-122-1-2-2-2-2-2-2-2-22-12-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-211111111111100000000000000000000000000i3−i3−i3i3
χ272222-1222222-1-12-1222222222-1-1-1-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ282222-1222222-1-12-1222222222-1-1-1-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
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χ302222-12222-2-2-1-12-12222222221111-2-1-12-1-111-2-2-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-2-2-1-1-2-22211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000−3−333−3−333000000
χ312222-122-2-222-1-12-122222-2-2-2-2-1-1-1-1-2-1-12-1-111-2-2-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1221122-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000022-2-200000000-1-1-1-11111000000
χ322222-122-2-222-1-12-122222-2-2-2-2-1-1-1-1-2-1-12-1-111-2-2-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1221122-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000000
χ332222-122-2-2-2-2-1-12-122222-2-2-2-211112-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-2-211-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-211111111000000000000000033−3−3−3−333000000
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χ352-22-2222002-2-2-2-222-2-2-22000022-2-2022222000000-2-2-2-2-2-2-2-2-2-200000000000000000000222222-2002-20022-2-222-2-222-2-22222-2-2-2-200000000000000000000002i−2i000000002i−2i2i−2i00000000000000
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χ472-2-222222i−2i002-2-2-2-222-2-22i−2i2i−2i00000222220000002-22-22-222-2-200000000000000000000-2-2-2-2-2002i−2i002i−2i000000000000000000002i2i−2i−2i2i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00002−2−i2i2000000002−22−2−i2i2−i2i2000000
χ482-2-222222i−2i002-2-2-2-222-2-22i−2i2i−2i00000222220000002-22-22-222-2-200000000000000000000-2-2-2-2-2002i−2i002i−2i000000000000000000002i2i−2i−2i2i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000−22i2−i200000000−22−22i2−i2i2−i2000000
χ492-2-22222−2i2i002-2-2-2-222-2-2−2i2i−2i2i00000222220000002-22-22-222-2-200000000000000000000-2-2-2-2-200−2i2i00−2i2i00000000000000000000−2i−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00002−2i2−i2000000002−22−2i2−i2i2−i2000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.