Finite Group Databasebeta

← Group #107796

Character table — Group #107796

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222244444444444444444444444444444444444444444444444444444488888888161616161616161616161616
order12222222222244444444444422224444444444444444448888888888888888888888888888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-1111-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i11-1-1
χ1011111111-1-1-1-1111-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111−i−iii-1-111
χ1111111111-1-1-1-1111-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111ii−i−i-1-111
χ1211111111-1-1-1-1111-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1−i−iii11-1-1
χ1311111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111−i−iii11-1-1
χ1411111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1ii−i−i-1-111
χ1511111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1−i−iii-1-111
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χ171-1-1-1111-111-1-111-111-1-1-11-1-1111-1-111-1-11-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ181-1-1-1111-111-1-111-111-1-1-11-1-1111-1-111-1-11-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ191-1-1-1111-111-1-111-111-1-1-11-1-1111-1-111-1-11-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ201-1-1-1111-111-1-111-111-1-1-11-1-1111-1-111-1-11-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ211-1-1-1111-111-1-111-111-1-1-11-1-11-1-11111-1-11-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ221-1-1-1111-111-1-111-111-1-1-11-1-11-1-11111-1-11-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ231-1-1-1111-111-1-111-111-1-1-11-1-11-1-11111-1-11-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ241-1-1-1111-111-1-111-111-1-1-11-1-11-1-11111-1-11-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ251-1-1-1111-1-1-11111-1-1-1111-1-11-111-1-111-1-1-1111-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−iii−i1-1-11−iii−i
χ261-1-1-1111-1-1-11111-1-1-1111-1-11-111-1-111-1-1-1111-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1i−i−ii-111-1i−i−ii
χ271-1-1-1111-1-1-11111-1-1-1111-1-11-111-1-111-1-1-1111-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111i−i−ii1-1-11i−i−ii
χ281-1-1-1111-1-1-11111-1-1-1111-1-11-111-1-111-1-1-1111-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−iii−i-111-1−iii−i
χ291-1-1-1111-1-1-11111-1-1-1111-1-11-1-1-11111-1-1-11-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111i−i−ii-111-1−iii−i
χ301-1-1-1111-1-1-11111-1-1-1111-1-11-1-1-11111-1-1-11-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−iii−i1-1-11i−i−ii
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χ842-2-2-2222-2-2-22222-2-2-22-2-22-222-2-222-2-2222-222-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ852-2-2-2222-2-2-222-2-2222-222-22-2-200002-2-222-200000000000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ862-2-2-2222-2-2-222-2-2222-222-22-2-200002-2-222-20000000000000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000
χ872-2-2-2222-2-2-222-2-2222-2-2-222-220000-222-2-2200000000000022-2-222-2-2-2-222-2-222000000000000000000000000000000000000
χ882-2-2-2222-2-2-222-2-2222-2-2-222-220000-222-2-22000000000000-2-222-2-22222-2-222-2-2000000000000000000000000000000000000
χ8944-44-44-4-400000000004-4400-40000000000000000000000000000000000000000000000000000002-22-22-22-2000000000000
χ9044-44-44-4-400000000004-4400-4000000000000000000000000000000000000000000000000000000-22-22-22-22000000000000
χ9144-44-44-4-40000000000-44-40040000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ9244-44-44-4-40000000000-44-4004000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ934-44-4-44-4400000000004-4-40040000000000000000000000000000000000000000000000000000002-2-22-222-2000000000000
χ944-44-4-44-4400000000004-4-4004000000000000000000000000000000000000000000000000000000-222-22-2-22000000000000
χ954-44-4-44-440000000000-44400-40000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ964-44-4-44-440000000000-44400-4000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ9788-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-888-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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