Finite Group Databasebeta

← Group #6432076

Character table — Group #6432076

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12224444224444444444444444442244444444444444888888882222444422444444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ91111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-11-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-11-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-1-111-1-11111-1-1-1-111
χ111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-111-1-111-1-11111-1-1
χ121111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1-111
χ131111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-11-111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-11-111-1-1-1-111-1-111-1-111
χ141111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11111-1-111-1-1-1-111
χ161111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1111-1-1-1-11111-1-111-1-1
χ17222222222222-2-2-2-2-2-2-2-200000000000000002-22-2000000000000222222222222-2-2-2-2-2-2-2-200000000000000002-22-2000000000000
χ18222222222222-2-2-2-2-2-2-2-20000000000000000-22-22000000000000222222222222-2-2-2-2-2-2-2-20000000000000000-22-22000000000000
χ1922222222-2-2-2-222-2-222-2-200000000020200-2-2000000000000000022222222-2-2-2-222-2-222-2-200000000020200-2-20000000000000000
χ2022222222-2-2-2-222-2-222-2-2000000000-20-20022000000000000000022222222-2-2-2-222-2-222-2-2000000000-20-200220000000000000000
χ2122222222-2-2-2-2-2-222-2-222000000002020-2-200000000000000000022222222-2-2-2-2-2-222-2-222000000002020-2-2000000000000000000
χ2222222222-2-2-2-2-2-222-2-22200000000-20-202200000000000000000022222222-2-2-2-2-2-222-2-22200000000-20-2022000000000000000000
χ232222-2-2-2-222-2-22222-2-2-2-200000000000000002-2-220000000000002222-2-2-2-222-2-22222-2-2-2-200000000000000002-2-22000000000000
χ242222-2-2-2-222-2-22222-2-2-2-20000000000000000-222-20000000000002222-2-2-2-222-2-22222-2-2-2-20000000000000000-222-2000000000000
χ252222-2-2-2-2-2-22222-2-2-2-2220000000020-20-220000000000000000002222-2-2-2-2-2-22222-2-2-2-2220000000020-20-22000000000000000000
χ262222-2-2-2-2-2-22222-2-2-2-22200000000-20202-20000000000000000002222-2-2-2-2-2-22222-2-2-2-22200000000-20202-2000000000000000000
χ272222-2-2-2-2-2-222-2-22222-2-200000000020-200-2200000000000000002222-2-2-2-2-2-222-2-22222-2-200000000020-200-220000000000000000
χ282222-2-2-2-2-2-222-2-22222-2-2000000000-202002-200000000000000002222-2-2-2-2-2-222-2-22222-2-2000000000-202002-20000000000000000
χ292-22-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-200000000000000000000000000002-22i−2i2-22-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-200000000000000000000000000002-22i−2i
χ302-22-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-20000000000000000000000000000-22−2i2i2-22-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-20000000000000000000000000000-22−2i2i
χ312-22-22i2i−2i−2i2-22i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i00002-22-22i2i−2i−2i2-22i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i0000
χ322-22-22i2i−2i−2i2-22i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i00002-22-22i2i−2i−2i2-22i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i0000
χ332-22-22i2i−2i−2i-22−2i2i2i−2i−2i2i2-2-222i2i−2i−2i22-2-20000000000000000000000002-22-22i2i−2i−2i-22−2i2i2i−2i−2i2i2-2-222i2i−2i−2i22-2-2000000000000000000000000
χ342-22-22i2i−2i−2i-22−2i2i2i−2i−2i2i2-2-22−2i−2i2i2i-2-2220000000000000000000000002-22-22i2i−2i−2i-22−2i2i2i−2i−2i2i2-2-22−2i−2i2i2i-2-222000000000000000000000000
χ352-22-22i2i−2i−2i-22−2i2i−2i2i2i−2i-222-2000000000000000000002-22i−2i000000002-22-22i2i−2i−2i-22−2i2i−2i2i2i−2i-222-2000000000000000000002-22i−2i00000000
χ362-22-22i2i−2i−2i-22−2i2i−2i2i2i−2i-222-200000000000000000000-22−2i2i000000002-22-22i2i−2i−2i-22−2i2i−2i2i2i−2i-222-200000000000000000000-22−2i2i00000000
χ372-22-2−2i−2i2i2i2-2−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i00002-22-2−2i−2i2i2i2-2−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i0000
χ382-22-2−2i−2i2i2i2-2−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i00002-22-2−2i−2i2i2i2-2−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i0000
χ392-22-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-200000000000000000000000000002-2−2i2i2-22-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-200000000000000000000000000002-2−2i2i
χ402-22-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-20000000000000000000000000000-222i−2i2-22-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-20000000000000000000000000000-222i−2i
χ412-22-2−2i−2i2i2i-222i−2i2i−2i−2i2i-222-2000000000000000000002-2−2i2i000000002-22-2−2i−2i2i2i-222i−2i2i−2i−2i2i-222-2000000000000000000002-2−2i2i00000000
χ422-22-2−2i−2i2i2i-222i−2i2i−2i−2i2i-222-200000000000000000000-222i−2i000000002-22-2−2i−2i2i2i-222i−2i2i−2i−2i2i-222-200000000000000000000-222i−2i00000000
χ432-22-2−2i−2i2i2i-222i−2i−2i2i2i−2i2-2-222i2i−2i−2i-2-2220000000000000000000000002-22-2−2i−2i2i2i-222i−2i−2i2i2i−2i2-2-222i2i−2i−2i-2-222000000000000000000000000
χ442-22-2−2i−2i2i2i-222i−2i−2i2i2i−2i2-2-22−2i−2i2i2i22-2-20000000000000000000000002-22-2−2i−2i2i2i-222i−2i−2i2i2i−2i2-2-22−2i−2i2i2i22-2-2000000000000000000000000
χ4544-4-44-44-40000000000002-22-22-22-200000000000000000000000044-4-44-44-40000000000002-22-22-22-2000000000000000000000000
χ4644-4-44-44-4000000000000-22-22-22-2200000000000000000000000044-4-44-44-4000000000000-22-22-22-22000000000000000000000000
χ4744-4-4-44-440000000000002-22-2-22-2200000000000000000000000044-4-4-44-440000000000002-22-2-22-22000000000000000000000000
χ4844-4-4-44-44000000000000-22-222-22-200000000000000000000000044-4-4-44-44000000000000-22-222-22-2000000000000000000000000
χ494-4-444i−4i−4i4i0000000000002i−2i−2i2i2-2-220000000000000000000000004-4-444i−4i−4i4i0000000000002i−2i−2i2i2-2-22000000000000000000000000
χ504-4-444i−4i−4i4i000000000000−2i2i2i−2i-222-20000000000000000000000004-4-444i−4i−4i4i000000000000−2i2i2i−2i-222-2000000000000000000000000
χ514-4-44−4i4i4i−4i0000000000002i−2i−2i2i-222-20000000000000000000000004-4-44−4i4i4i−4i0000000000002i−2i−2i2i-222-2000000000000000000000000
χ524-4-44−4i4i4i−4i000000000000−2i2i2i−2i2-2-220000000000000000000000004-4-44−4i4i4i−4i000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-1-1-11111
χ551111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111111111-1-1-1-1
χ561111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ5711111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5811111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1111111-1-1-1-11111-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-11111-1-1-1-1-1-1-1-11111
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-11-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-11-1-111-1-111-1-111-1-111
χ621111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-111-1-111-1-1-1-11111-1-1
χ631111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-111-1-111-1-1-1-111
χ641111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-11-11-1-1-111-1-11111-1-111-1-1
χ651111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-11-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-11-11-1-11111-1-111-1-111-1-1
χ661111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-111
χ671111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-111-1-11111-1-1
χ681111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-11-11-1-1-11111-1-1-1-111-1-111
χ69222222222222-2-2-2-2-2-2-2-200000000000000002-22-2000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-22-22000000000000
χ70222222222222-2-2-2-2-2-2-2-20000000000000000-22-22000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002-22-2000000000000
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χ772222-2-2-2-2-2-22222-2-2-2-2220000000020-20-22000000000000000000-2-2-2-2222222-2-2-2-22222-2-200000000-20202-2000000000000000000
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χ802222-2-2-2-2-2-222-2-22222-2-2000000000-202002-20000000000000000-2-2-2-2222222-2-222-2-2-2-22200000000020-200-220000000000000000
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χ822-22-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-20000000000000000000000000000-22−2i2i-22-22−2i−2i2i2i-22−2i2i−2i2i−2i2i-22-2200000000000000000000000000002-22i−2i
χ832-22-22i2i−2i−2i2-22i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i0000-22-22−2i−2i2i2i-22−2i2i2i−2i2i−2i2-22-2000000000000000000000000-22−2i2i0000
χ842-22-22i2i−2i−2i2-22i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i0000-22-22−2i−2i2i2i-22−2i2i2i−2i2i−2i2-22-20000000000000000000000002-22i−2i0000
χ852-22-22i2i−2i−2i-22−2i2i2i−2i−2i2i2-2-222i2i−2i−2i22-2-2000000000000000000000000-22-22−2i−2i2i2i2-22i−2i−2i2i2i−2i-222-2−2i−2i2i2i-2-222000000000000000000000000
χ862-22-22i2i−2i−2i-22−2i2i2i−2i−2i2i2-2-22−2i−2i2i2i-2-222000000000000000000000000-22-22−2i−2i2i2i2-22i−2i−2i2i2i−2i-222-22i2i−2i−2i22-2-2000000000000000000000000
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χ882-22-22i2i−2i−2i-22−2i2i−2i2i2i−2i-222-200000000000000000000-22−2i2i00000000-22-22−2i−2i2i2i2-22i−2i2i−2i−2i2i2-2-22000000000000000000002-22i−2i00000000
χ892-22-2−2i−2i2i2i2-2−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i0000-22-222i2i−2i−2i-222i−2i−2i2i−2i2i2-22-2000000000000000000000000-222i−2i0000
χ902-22-2−2i−2i2i2i2-2−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i0000-22-222i2i−2i−2i-222i−2i−2i2i−2i2i2-22-20000000000000000000000002-2−2i2i0000
χ912-22-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-200000000000000000000000000002-2−2i2i-22-222i2i−2i−2i-222i−2i2i−2i2i−2i-22-220000000000000000000000000000-222i−2i
χ922-22-2−2i−2i2i2i2-2−2i2i−2i2i−2i2i2-22-20000000000000000000000000000-222i−2i-22-222i2i−2i−2i-222i−2i2i−2i2i−2i-22-2200000000000000000000000000002-2−2i2i
χ932-22-2−2i−2i2i2i-222i−2i2i−2i−2i2i-222-2000000000000000000002-2−2i2i00000000-22-222i2i−2i−2i2-2−2i2i−2i2i2i−2i2-2-2200000000000000000000-222i−2i00000000
χ942-22-2−2i−2i2i2i-222i−2i2i−2i−2i2i-222-200000000000000000000-222i−2i00000000-22-222i2i−2i−2i2-2−2i2i−2i2i2i−2i2-2-22000000000000000000002-2−2i2i00000000
χ952-22-2−2i−2i2i2i-222i−2i−2i2i2i−2i2-2-222i2i−2i−2i-2-222000000000000000000000000-22-222i2i−2i−2i2-2−2i2i2i−2i−2i2i-222-2−2i−2i2i2i22-2-2000000000000000000000000
χ962-22-2−2i−2i2i2i-222i−2i−2i2i2i−2i2-2-22−2i−2i2i2i22-2-2000000000000000000000000-22-222i2i−2i−2i2-2−2i2i2i−2i−2i2i-222-22i2i−2i−2i-2-222000000000000000000000000
χ9744-4-44-44-40000000000002-22-22-22-2000000000000000000000000-4-444-44-44000000000000-22-22-22-22000000000000000000000000
χ9844-4-44-44-4000000000000-22-22-22-22000000000000000000000000-4-444-44-440000000000002-22-22-22-2000000000000000000000000
χ9944-4-4-44-440000000000002-22-2-22-22000000000000000000000000-4-4444-44-4000000000000-22-222-22-2000000000000000000000000
χ10044-4-4-44-44000000000000-22-222-22-2000000000000000000000000-4-4444-44-40000000000002-22-2-22-22000000000000000000000000
χ1014-4-444i−4i−4i4i0000000000002i−2i−2i2i2-2-22000000000000000000000000-444-4−4i4i4i−4i000000000000−2i2i2i−2i-222-2000000000000000000000000
χ1024-4-444i−4i−4i4i000000000000−2i2i2i−2i-222-2000000000000000000000000-444-4−4i4i4i−4i0000000000002i−2i−2i2i2-2-22000000000000000000000000
χ1034-4-44−4i4i4i−4i0000000000002i−2i−2i2i-222-2000000000000000000000000-444-44i−4i−4i4i000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ1044-4-44−4i4i4i−4i000000000000−2i2i2i−2i2-2-22000000000000000000000000-444-44i−4i−4i4i0000000000002i−2i−2i2i-222-2000000000000000000000000

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