Finite Group Databasebeta

← Group #14710

Character table — Group #14710

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111111111111222222222222222222222222222222222222222222222222222222228888888888888888
order1222222222222222444444444444444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
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χ181-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii
χ191-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii
χ201-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i
χ211-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-11-1-11-11i−ii−i−ii−ii
χ221-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-111-11-1−ii−iii−ii−i
χ231-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-11-1-11-11−ii−iii−ii−i
χ241-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-111-11-1i−ii−i−ii−ii
χ251-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-111-1-11i−i−iii−i−ii
χ261-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-1-111-1−iii−i−iii−i
χ271-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-111-1-11−iii−i−iii−i
χ281-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-111-1i−i−iii−i−ii
χ291-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-1i−i−ii−iii−i
χ301-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11−iii−ii−i−ii
χ311-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-1-11-111-1−iii−ii−i−ii
χ321-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-111-11-1-11i−i−ii−iii−i
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χ43222-2-22-2-2-2-222-2-2220000000000000000−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2-222-2-2220000000000000000
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χ4722-22-2-22-22-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000-22-22-22-220000000000000000
χ4822-22-2-22-22-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i000000002-22-22-22-20000000000000000
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χ5322-2-22-2-222-2-222-2-222i−2i2i−2i2i−2i2i−2i00000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ5422-2-22-2-222-2-222-2-222i−2i2i−2i2i−2i2i−2i0000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ5522-2-22-2-222-2-222-2-22−2i2i−2i2i−2i2i−2i2i00000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ5622-2-22-2-222-2-222-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ5722-2-22-2-22-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-220000000000000000
χ5822-2-22-2-22-222-2-222-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-20000000000000000
χ5922-2-22-2-22-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-20000000000000000
χ6022-2-22-2-22-222-2-222-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-220000000000000000
χ612-222-2-2-222-2-22-222-22i−2i2i−2i−2i2i−2i2i00000000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-2200000000000000000000000000000000
χ622-222-2-2-222-2-22-222-22i−2i2i−2i−2i2i−2i2i0000000000000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-200000000000000000000000000000000
χ632-222-2-2-222-2-22-222-2−2i2i−2i2i2i−2i2i−2i00000000000000002i−2i−2i2i−2i2i2i−2i2-2-22-222-200000000000000000000000000000000
χ642-222-2-2-222-2-22-222-2−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i-222-22-2-2200000000000000000000000000000000
χ652-222-2-2-22-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000000000000000
χ662-222-2-2-22-222-22-2-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i0000000000000000
χ672-222-2-2-22-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i0000000000000000
χ682-222-2-2-22-222-22-2-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i0000000000000000
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χ752-22-22-22-2-22-222-22-200000000−2i2i2i−2i2i−2i−2i2i000000002-22-2-22-22000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
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χ802-2-2222-2-222-2-2-2-2220000000000000000−2i2i−2i2i2i−2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000
χ812-2-2222-2-2-2-22222-2-200000000000000002i−2i−2i2i−2i2i2i−2i22-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ822-2-2222-2-2-2-22222-2-200000000000000002i−2i−2i2i−2i2i2i−2i-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ832-2-2222-2-2-2-22222-2-20000000000000000−2i2i2i−2i2i−2i−2i2i22-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ842-2-2222-2-2-2-22222-2-20000000000000000−2i2i2i−2i2i−2i−2i2i-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
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χ862-2-2-2-2222-2-2-2-2222222-2-2-2-222-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ872-2-2-2-2222-2-2-2-22222-2-22222-2-222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ882-2-2-2-2222-2-2-2-22222-2-22222-2-2-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000

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