Finite Group Databasebeta

← Group #13160037

Character table — Group #13160037

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242424242424363654547272727272108108108
order1222333334466666666666666633336666666666668812121212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242422466666666121212121212121222224661212488
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
χ1122222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000022002-1-1-1-1000
χ1222222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-200-21111000
χ1322222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111111100000000000000000002200-2-1-111000
χ1422222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111111110000000000000000000-2-200211-1-1000
χ1522222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
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χ1722222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111122-222-1-1-1-1-1-1-2-2111111000000000000
χ1822222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-2-22-2-211111122-1-1-1-1-1-1000000000000
χ192222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ202222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111111-2-21111000000000000
χ212222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-2111111111111111122-2-1-122-1-1-1-111-2-21111000000000000
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χ232222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ242222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-21111-2-2111111-2-211000000000000
χ252222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111122-2-1-1-1-122-1-11111-2-211000000000000
χ262222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111-2-221111-2-211-1-1-1-122-1-1000000000000
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χ302222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-122000000000000
χ3122-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-2−i2i200000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000000002-2000000−i2i2
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χ3322-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-2i2−i200000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000000002-2000000i2−i2
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χ372-2-2222222-22-2-2-2-2-2-22222-2-2-2-222222-2-2-2-2-2-2-2-22222002222222222222-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002-202-22-22-22-200000000000000000000
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χ452-2-222-1-1-12-22-2111-2-22-1-1-1-211122-1-1-1-2-21111112-1-1-1002-1-1-1222-1-1-1-1-1-1-2111-2-2-21111110000−33−33−33−33−33−33000000000000−33−33−33−33−33−33−33−33−33−33−33−332-202-2-11-11-1100−33−33−33000000000000
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χ482-2-22-12-1-12-221-211-2-2-12-1-11-2112-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-211113−33−300003−33−3−33−3300003−33−33−33−3000000003−33−33−33−3−33−33−33−33-2201-1-221-11-1−3300−333−3000000000000
χ492-2-22-12-1-12-221-211-2-2-12-1-11-2112-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-21111−33−330000−33−333−33−30000−33−33−33−3300000000−33−33−33−333−33−33−33−32-20-112-2-11-11−3300−333−3000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.