Finite Group Databasebeta

← Group #13159700

Character table — Group #13159700

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242424242424363654547272727272108108108
order122233333446666666666666663333666666666666881212121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242246666666612121212121212124444412121212488
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
χ11222222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ12222222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2-2111111000000000000
χ13222222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111111122-222-1-1-1-1-1-1-2-2111111000000000000
χ14222222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111-2-22-2-211111122-1-1-1-1-1-1000000000000
χ1522222-12-1-122-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1222-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ1622222-12-1-122-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1222-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111111-2-21111000000000000
χ1722222-12-1-122-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-2-22-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111122-2-1-122-1-1-1-111-2-21111000000000000
χ1822222-12-1-122-12-1-12-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-2-22-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-2-2211-2-21111-1-122-1-1-1-1000000000000
χ1922222-1-12-122-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1222-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ2022222-1-12-122-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1222-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-2-2111111-2-211000000000000
χ2122222-1-12-122-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-2-22-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111122-2-1-1-1-122-1-11111-2-211000000000000
χ2222222-1-12-122-1-12-12-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-2-22-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111-2-221111-2-211-1-1-1-122-1-1000000000000
χ2322222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ2422222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2111111-2-2111111-2-2000000000000
χ2522222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2-22-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-2-2-2-2111111111111111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-222-2-1-1-1-1-1-122111111-2-2000000000000
χ2622222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2-22-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-2-2-2-2111111111111111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-122000000000000
χ272222-12222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000022002-1-1-1-1000
χ282222-12222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000-2-200-21111000
χ292222-12222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111-2-2-2-21111111100000000000000000002200-2-1-111000
χ302222-12222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111-2-2-2-2111111110000000000000000000-2-200211-1-1000
χ3122-2-2222222-2-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222002222222222222-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002-202-22-22-22-200000000000000000000
χ3222-2-2222222-2-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222002222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-220-22-22-22-2200000000000000000000
χ3322-2-222222-22-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222000000000000000000000000000000000000000000000000000000000000000000000002i−2i0002i−2i00000
χ3422-2-222222-22-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222200000000000000000000000000000000000000000000000000000000000000000000000−2i2i000−2i2i00000
χ3522-2-222-1-1-12-2-211122-1-1-1-2111-2-22-1-1-1-2-21111112-1-1-10022-1-1-122-1-1-1-1-1-1-2-2111-2-2111111000000000000000033−3−33333−3−3−3−333−3−33333−3−3−3−333−3−33333−3−3−3−32-202-2-11-11-11003−33−33−3000000000000
χ3622-2-222-1-1-12-2-211122-1-1-1-2111-2-22-1-1-1-2-21111112-1-1-10022-1-1-122-1-1-1-1-1-1-2-2111-2-2111111000000000000000033−3−33333−3−3−3−333−3−33333−3−3−3−333−3−33333−3−3−3−3-220-221-11-11-100−33−33−33000000000000
χ3722-2-222-1-1-12-2-211122-1-1-1-2111-2-22-1-1-1-2-21111112-1-1-10022-1-1-122-1-1-1-1-1-1-2-2111-2-21111110000000000000000−3−333−3−3−3−33333−3−333−3−3−3−33333−3−333−3−3−3−333332-202-2-11-11-1100−33−33−33000000000000
χ3822-2-222-1-1-12-2-211122-1-1-1-2111-2-22-1-1-1-2-21111112-1-1-10022-1-1-122-1-1-1-1-1-1-2-2111-2-21111110000000000000000−3−333−3−3−3−33333−3−333−3−3−3−33333−3−333−3−3−3−33333-220-221-11-11-1003−33−33−3000000000000
χ3922-2-22-12-1-12-21-2112-12-1-11-211-2-2-12-1-111-2-21111-12-1-1002-12-1-1-1-122-1-1-1-1-21-21111-2-21111000033−3−33333−3−3−3−300000000000033−3−33333−3−3−3−3−3−333−3−3−3−333332-20-112-2-11-113−3003−3−33000000000000
χ4022-2-22-12-1-12-21-2112-12-1-11-211-2-2-12-1-111-2-21111-12-1-1002-12-1-1-1-122-1-1-1-1-21-21111-2-21111000033−3−33333−3−3−3−300000000000033−3−33333−3−3−3−3−3−333−3−3−3−33333-2201-1-221-11-1−3300−333−3000000000000
χ4122-2-22-12-1-12-21-2112-12-1-11-211-2-2-12-1-111-2-21111-12-1-1002-12-1-1-1-122-1-1-1-1-21-21111-2-211110000−3−333−3−3−3−33333000000000000−3−333−3−3−3−3333333−3−33333−3−3−3−32-20-112-2-11-11−3300−333−3000000000000
χ4222-2-22-12-1-12-21-2112-12-1-11-211-2-2-12-1-111-2-21111-12-1-1002-12-1-1-1-122-1-1-1-1-21-21111-2-211110000−3−333−3−3−3−33333000000000000−3−333−3−3−3−3333333−3−33333−3−3−3−3-2201-1-221-11-13−3003−3−33000000000000
χ4322-2-22-1-12-12-211-212-1-12-111-21-2-2-1-12-11111-2-211-1-12-1002-1-12-1-1-1-1-122-1-1-211-211111-2-211000033−3−33333−3−3−3−3−3−333−3−3−3−3333300000000000033−3−33333−3−3−3−32-20-11-112-2-113−3−33003−3000000000000
χ4422-2-22-1-12-12-211-212-1-12-111-21-2-2-1-12-11111-2-211-1-12-1002-1-12-1-1-1-1-122-1-1-211-211111-2-211000033−3−33333−3−3−3−3−3−333−3−3−3−3333300000000000033−3−33333−3−3−3−3-2201-11-1-221-1−333−300−33000000000000
χ4522-2-22-1-12-12-211-212-1-12-111-21-2-2-1-12-11111-2-211-1-12-1002-1-12-1-1-1-1-122-1-1-211-211111-2-2110000−3−333−3−3−3−3333333−3−33333−3−3−3−3000000000000−3−333−3−3−3−333332-20-11-112-2-11−333−300−33000000000000
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χ4722-2-22-1-1-122-2111-22-1-1-12111-2-2-2-1-1-12111111-2-2-1-1-12002-1-1-12-1-1-1-1-1-122-2111-2111111-2-2000033−3−33333−3−3−3−333−3−33333−3−3−3−3−3−333−3−3−3−333330000000000002-20-11-11-112-23−33−3−3300000000000000
χ4822-2-22-1-1-122-2111-22-1-1-12111-2-2-2-1-1-12111111-2-2-1-1-12002-1-1-12-1-1-1-1-1-122-2111-2111111-2-2000033−3−33333−3−3−3−333−3−33333−3−3−3−3−3−333−3−3−3−33333000000000000-2201-11-11-1-22−33−333−300000000000000
χ4922-2-22-1-1-122-2111-22-1-1-12111-2-2-2-1-1-12111111-2-2-1-1-12002-1-1-12-1-1-1-1-1-122-2111-2111111-2-20000−3−333−3−3−3−33333−3−333−3−3−3−3333333−3−33333−3−3−3−30000000000002-20-11-11-112-2−33−333−300000000000000
χ5022-2-22-1-1-122-2111-22-1-1-12111-2-2-2-1-1-12111111-2-2-1-1-12002-1-1-12-1-1-1-1-1-122-2111-2111111-2-20000−3−333−3−3−3−33333−3−333−3−3−3−3333333−3−33333−3−3−3−3000000000000-2201-11-11-1-223−33−3−3300000000000000
χ5122-2-2-12222-22-2-2-2-2-12222-2-2-2-211-1-1-1-111111111-1-1-1-1001-2-2-2-211111111-12222-1-1-1-1-1-1-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300000000000000000002i−2i000−ii3−3000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.