Finite Group Databasebeta

← Group #6458607

Character table — Group #6458607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222444444444444224444444444444444444444888888882222222244444444444422444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222-2-2-2-222-2-2-2-2-2-20000000000000000000000002222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000000022222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ2122-2-222-2-200002i2i−2i−2i2-22-200002i−2i00002i−2i002-2000000000000000022-2-222-2-200002i2i−2i−2i2-22-200002i−2i00002i−2i002-20000000000000000
χ2222-2-222-2-200002i2i−2i−2i2-22-200002i−2i0000−2i2i00-22000000000000000022-2-222-2-200002i2i−2i−2i2-22-200002i−2i0000−2i2i00-220000000000000000
χ2322-2-222-2-200002i2i−2i−2i-22-220000−2i2i002-2002i−2i00000000000000000022-2-222-2-200002i2i−2i−2i-22-220000−2i2i002-2002i−2i000000000000000000
χ2422-2-222-2-200002i2i−2i−2i-22-220000−2i2i00-2200−2i2i00000000000000000022-2-222-2-200002i2i−2i−2i-22-220000−2i2i00-2200−2i2i000000000000000000
χ2522-2-222-2-20000−2i−2i2i2i2-22-20000−2i2i00002i−2i00-22000000000000000022-2-222-2-20000−2i−2i2i2i2-22-20000−2i2i00002i−2i00-220000000000000000
χ2622-2-222-2-20000−2i−2i2i2i2-22-20000−2i2i0000−2i2i002-2000000000000000022-2-222-2-20000−2i−2i2i2i2-22-20000−2i2i0000−2i2i002-20000000000000000
χ2722-2-222-2-20000−2i−2i2i2i-22-2200002i−2i002-200−2i2i00000000000000000022-2-222-2-20000−2i−2i2i2i-22-2200002i−2i002-200−2i2i000000000000000000
χ2822-2-222-2-20000−2i−2i2i2i-22-2200002i−2i00-22002i−2i00000000000000000022-2-222-2-20000−2i−2i2i2i-22-2200002i−2i00-22002i−2i000000000000000000
χ292-22-22-22-222-2-200002-2-22002-20000000000002i−2i2i−2i0000000000002-22-22-22-222-2-200002-2-22002-20000000000002i−2i2i−2i000000000000
χ302-22-22-22-222-2-200002-2-22002-2000000000000−2i2i−2i2i0000000000002-22-22-22-222-2-200002-2-22002-2000000000000−2i2i−2i2i000000000000
χ312-22-22-22-222-2-20000-222-200-2200000000000000002i−2i2i−2i000000002-22-22-22-222-2-20000-222-200-2200000000000000002i−2i2i−2i00000000
χ322-22-22-22-222-2-20000-222-200-220000000000000000−2i2i−2i2i000000002-22-22-22-222-2-20000-222-200-220000000000000000−2i2i−2i2i00000000
χ332-22-22-22-2-2-22200002-2-2200-220000000000002i−2i−2i2i0000000000002-22-22-22-2-2-22200002-2-2200-220000000000002i−2i−2i2i000000000000
χ342-22-22-22-2-2-22200002-2-2200-22000000000000−2i2i2i−2i0000000000002-22-22-22-2-2-22200002-2-2200-22000000000000−2i2i2i−2i000000000000
χ352-22-22-22-2-2-2220000-222-2002-200000000000000002i−2i−2i2i000000002-22-22-22-2-2-2220000-222-2002-200000000000000002i−2i−2i2i00000000
χ362-22-22-22-2-2-2220000-222-2002-20000000000000000−2i2i2i−2i000000002-22-22-22-2-2-2220000-222-2002-20000000000000000−2i2i2i−2i00000000
χ372-22-2-22-222-22-22-22-200002-20000000000000000000000i2−i2i2−i2i2−i2i2−i22-22-2-22-222-22-22-22-200002-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ382-22-2-22-222-22-22-22-200002-20000000000000000000000−i2i2−i2i2−i2i2−i2i22-22-2-22-222-22-22-22-200002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ392-22-2-22-222-22-2-22-220000-220000000000000000000000i2−i2i2−i2−i2i2−i2i22-22-2-22-222-22-2-22-220000-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ402-22-2-22-222-22-2-22-220000-220000000000000000000000−i2i2−i2i2i2−i2i2−i22-22-2-22-222-22-2-22-220000-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ412-22-2-22-22-22-222-22-20000-220000000000000000000000i2−i2−i2i2i2−i2−i2i22-22-2-22-22-22-222-22-20000-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
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χ432-22-2-22-22-22-22-22-2200002-20000000000000000000000i2−i2−i2i2−i2i2i2−i22-22-2-22-22-22-22-22-2200002-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ442-22-2-22-22-22-22-22-2200002-20000000000000000000000−i2i2i2−i2i2−i2−i2i22-22-2-22-22-22-22-22-2200002-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ454444-4-4-4-44-4-4400000000000000000000000000000000000000004444-4-4-4-44-4-440000000000000000000000000000000000000000
χ464444-4-4-4-4-444-400000000000000000000000000000000000000004444-4-4-4-4-444-40000000000000000000000000000000000000000
χ4744-4-4-4-4440000000000000000004i−4i00000000000000000000000044-4-4-4-4440000000000000000004i−4i000000000000000000000000
χ4844-4-4-4-444000000000000000000−4i4i00000000000000000000000044-4-4-4-444000000000000000000−4i4i000000000000000000000000
χ494-4-444-4-440000000044-4-4000000000000000000000000000000004-4-444-4-440000000044-4-400000000000000000000000000000000
χ504-4-444-4-4400000000-4-444000000000000000000000000000000004-4-444-4-4400000000-4-44400000000000000000000000000000000
χ514-4-44-444-400004i−4i−4i4i0000000000000000000000000000000000004-4-44-444-400004i−4i−4i4i000000000000000000000000000000000000
χ524-4-44-444-40000−4i4i4i−4i0000000000000000000000000000000000004-4-44-444-40000−4i4i4i−4i000000000000000000000000000000000000
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
χ54111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ551111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ57111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ58111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ59111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ60111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ6211111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ6311111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ6411111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ6511111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ6611111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ6711111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ6811111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ692222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222000000000000000000000000
χ70222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000
χ7122222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-222-2-2000000000000000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-222000000000000000000000000
χ7322-2-222-2-200002i2i−2i−2i2-22-200002i−2i00002i−2i002-20000000000000000-2-222-2-2220000−2i−2i2i2i-22-220000−2i2i0000−2i2i00-220000000000000000
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χ7522-2-222-2-200002i2i−2i−2i-22-220000−2i2i002-2002i−2i000000000000000000-2-222-2-2220000−2i−2i2i2i2-22-200002i−2i00-2200−2i2i000000000000000000
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χ7922-2-222-2-20000−2i−2i2i2i-22-2200002i−2i002-200−2i2i000000000000000000-2-222-2-22200002i2i−2i−2i2-22-20000−2i2i00-22002i−2i000000000000000000
χ8022-2-222-2-20000−2i−2i2i2i-22-2200002i−2i00-22002i−2i000000000000000000-2-222-2-22200002i2i−2i−2i2-22-20000−2i2i002-200−2i2i000000000000000000
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χ852-22-22-22-2-2-22200002-2-2200-220000000000002i−2i−2i2i000000000000-22-22-22-2222-2-20000-222-2002-2000000000000−2i2i2i−2i000000000000
χ862-22-22-22-2-2-22200002-2-2200-22000000000000−2i2i2i−2i000000000000-22-22-22-2222-2-20000-222-2002-20000000000002i−2i−2i2i000000000000
χ872-22-22-22-2-2-2220000-222-2002-200000000000000002i−2i−2i2i00000000-22-22-22-2222-2-200002-2-2200-220000000000000000−2i2i2i−2i00000000
χ882-22-22-22-2-2-2220000-222-2002-20000000000000000−2i2i2i−2i00000000-22-22-22-2222-2-200002-2-2200-2200000000000000002i−2i−2i2i00000000
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χ922-22-2-22-222-22-2-22-220000-220000000000000000000000−i2i2−i2i2i2−i2i2−i2-22-222-22-2-22-222-22-200002-20000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ932-22-2-22-22-22-222-22-20000-220000000000000000000000i2−i2−i2i2i2−i2−i2i2-22-222-22-22-22-2-22-2200002-20000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ942-22-2-22-22-22-222-22-20000-220000000000000000000000−i2i2i2−i2−i2i2i2−i2-22-222-22-22-22-2-22-2200002-20000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ952-22-2-22-22-22-22-22-2200002-20000000000000000000000i2−i2−i2i2−i2i2i2−i2-22-222-22-22-22-22-22-20000-220000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ962-22-2-22-22-22-22-22-2200002-20000000000000000000000−i2i2i2−i2i2−i2−i2i2-22-222-22-22-22-22-22-20000-220000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ974444-4-4-4-44-4-440000000000000000000000000000000000000000-4-4-4-44444-444-40000000000000000000000000000000000000000
χ984444-4-4-4-4-444-40000000000000000000000000000000000000000-4-4-4-444444-4-440000000000000000000000000000000000000000
χ9944-4-4-4-4440000000000000000004i−4i000000000000000000000000-4-44444-4-4000000000000000000−4i4i000000000000000000000000
χ10044-4-4-4-444000000000000000000−4i4i000000000000000000000000-4-44444-4-40000000000000000004i−4i000000000000000000000000
χ1014-4-444-4-440000000044-4-400000000000000000000000000000000-444-4-444-400000000-4-44400000000000000000000000000000000
χ1024-4-444-4-4400000000-4-44400000000000000000000000000000000-444-4-444-40000000044-4-400000000000000000000000000000000
χ1034-4-44-444-400004i−4i−4i4i000000000000000000000000000000000000-444-44-4-440000−4i4i4i−4i000000000000000000000000000000000000
χ1044-4-44-444-40000−4i4i4i−4i000000000000000000000000000000000000-444-44-4-4400004i−4i−4i4i000000000000000000000000000000000000

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