Finite Group Databasebeta

← Group #205949

Character table — Group #205949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222224444444444444444448888888888888888888888888888888888888888888888882244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1ii−i−iii−i−i
χ101111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111−i−iii−i−iii
χ111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1−i−iii−i−iii
χ121111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111ii−i−iii−i−i
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1-111ii−i−i−i−iii
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1111-1-1−i−iiiii−i−i
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-11-1-1-111−i−iiiii−i−i
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1111-1-1ii−i−i−i−iii
χ17111111-1-1-1-11111-1-1-1-111-1-111-11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-1-111-11-1i−ii−ii−ii−i
χ18111111-1-1-1-11111-1-1-1-111-1-111-11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-111-1-11-11−ii−ii−ii−ii
χ19111111-1-1-1-11111-1-1-1-111-1-111-11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-1-111-11-1−ii−ii−ii−ii
χ20111111-1-1-1-11111-1-1-1-111-1-111-11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-111-1-11-11i−ii−ii−ii−i
χ21111111-1-1-1-11111-1-1-1-111-1-111-11-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-11-11-11i−ii−i−ii−ii
χ22111111-1-1-1-11111-1-1-1-111-1-111-11-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-111-11-11-1−ii−iii−ii−i
χ23111111-1-1-1-11111-1-1-1-111-1-111-11-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-1-11-11-11−ii−iii−ii−i
χ24111111-1-1-1-11111-1-1-1-111-1-111-11-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-111-11-11-1i−ii−i−ii−ii
χ25111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-111-1-11
χ26111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-111-1-111-1-111-1
χ27111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-1-11-111-1-111-1
χ28111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111-11-1-111-1-11
χ29111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-111-11-1-11-111-1
χ30111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111-1-11-111-11-1-11
χ31111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-11-1-11
χ32111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-111-1-11-111-1
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χ3422222222222222-2-222-2-222-2-2-2-2-2-200000000000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
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χ362222222222-2-2-2-222-2-2-2-2-2-2222-2-2-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000
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χ39222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2220000000000000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ40222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-22200000000000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
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χ442222-2-222-2-222-2-2-2-222-2-2-2-2-2222-220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ452222-2-222-2-2-2-22222-2-2-2-2222-2-22-22000000000000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ462222-2-222-2-2-2-22222-2-2-2-2222-2-22-220000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ472222-2-222-2-2-2-222-2-2-2-22222-222-22-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ482222-2-222-2-2-2-222-2-2-2-22222-222-22-2-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ492222-2-2-2-22222-2-222-2-2-2-222-22-222-2000000000000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ502222-2-2-2-22222-2-222-2-2-2-222-22-222-20000000000000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ512222-2-2-2-22222-2-2-2-2-2-222222-22-2-2222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ522222-2-2-2-22222-2-2-2-2-2-222222-22-2-22-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ532222-2-2-2-222-2-222222222-2-2-22-2-2-2222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ542222-2-2-2-222-2-222222222-2-2-22-2-2-22-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ552222-2-2-2-222-2-222-2-222-2-2-2-22-2222-200000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
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χ852-22-2-22-222-2-222-2002-200-22000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22−2−22−222−2−222−22−2−222i−2i00−2i2i00−2i2i002i−2i000000000000000000
χ862-22-2-22-222-2-222-2002-200-22000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−222−22−2−222−2−22−222−2−2i2i002i−2i002i−2i00−2i2i000000000000000000
χ872-22-2-22-222-2-222-2002-200-22000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22−2−22−222−2−222−22−2−22−2i2i002i−2i002i−2i00−2i2i000000000000000000
χ882-22-2-22-222-2-222-2002-200-22000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−222−22−2−222−2−22−222−22i−2i00−2i2i00−2i2i002i−2i000000000000000000
χ8988-8-800000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-80000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).