Finite Group Databasebeta

← Group #6457190

Character table — Group #6457190

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222222244444444444444444444444444444444888888882222222222224444444444444444444444444444444488888888
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
χ5111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
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
χ21222-2-2-2-2222-2-222-2-200002-20000000000000000000000i2−i2i2−i2i2−i2i2−i2222-2-2-2-2222-2-222-2-200002-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ22222-2-2-2-2222-2-222-2-200002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2222-2-2-2-2222-2-222-2-200002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ23222-2-2-2-2222-2-2-2-2220000-220000000000000000000000i2−i2i2−i2−i2i2−i2i2222-2-2-2-2222-2-2-2-2220000-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
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χ25222-2-2-2-22-2-22222-2-20000-220000000000000000000000i2−i2−i2i2i2−i2−i2i2222-2-2-2-22-2-22222-2-20000-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ26222-2-2-2-22-2-22222-2-20000-220000000000000000000000−i2i2i2−i2−i2i2i2−i2222-2-2-2-22-2-22222-2-20000-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ27222-2-2-2-22-2-222-2-22200002-20000000000000000000000i2−i2−i2i2−i2i2i2−i2222-2-2-2-22-2-222-2-22200002-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ28222-2-2-2-22-2-222-2-22200002-20000000000000000000000−i2i2i2−i2i2−i2−i2i2222-2-2-2-22-2-222-2-22200002-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ292-22-2-222-200002-22-22-22-200002-20000000000002i−2i002i−2i000000002-22-2-222-200002-22-22-22-200002-20000000000002i−2i002i−2i00000000
χ302-22-2-222-200002-22-22-22-200002-2000000000000−2i2i00−2i2i000000002-22-2-222-200002-22-22-22-200002-2000000000000−2i2i00−2i2i00000000
χ312-22-2-222-200002-22-2-22-220000-2200000000002i−2i002i−2i00000000002-22-2-222-200002-22-2-22-220000-2200000000002i−2i002i−2i0000000000
χ322-22-2-222-200002-22-2-22-220000-220000000000−2i2i00−2i2i00000000002-22-2-222-200002-22-2-22-220000-220000000000−2i2i00−2i2i0000000000
χ332-22-2-222-20000-22-222-22-20000-220000000000002i−2i00−2i2i000000002-22-2-222-20000-22-222-22-20000-220000000000002i−2i00−2i2i00000000
χ342-22-2-222-20000-22-222-22-20000-22000000000000−2i2i002i−2i000000002-22-2-222-20000-22-222-22-20000-22000000000000−2i2i002i−2i00000000
χ352-22-2-222-20000-22-22-22-2200002-200000000002i−2i00−2i2i00000000002-22-2-222-20000-22-22-22-2200002-200000000002i−2i00−2i2i0000000000
χ362-22-2-222-20000-22-22-22-2200002-20000000000−2i2i002i−2i00000000002-22-2-222-20000-22-22-22-2200002-20000000000−2i2i002i−2i0000000000
χ372-2-22-22-222-22-2000022-2-2002-20000002i−2i002i−2i00000000000000002-2-22-22-222-22-2000022-2-2002-20000002i−2i002i−2i0000000000000000
χ382-2-22-22-222-22-2000022-2-2002-2000000−2i2i00−2i2i00000000000000002-2-22-22-222-22-2000022-2-2002-2000000−2i2i00−2i2i0000000000000000
χ392-2-22-22-222-22-20000-2-22200-2200002-2002-20000000000000000002-2-22-22-222-22-20000-2-22200-2200002-2002-2000000000000000000
χ402-2-22-22-222-22-20000-2-22200-220000-2200-220000000000000000002-2-22-22-222-22-20000-2-22200-220000-2200-22000000000000000000
χ412-2-22-22-22-22-22000022-2-200-220000002i−2i00−2i2i00000000000000002-2-22-22-22-22-22000022-2-200-220000002i−2i00−2i2i0000000000000000
χ422-2-22-22-22-22-22000022-2-200-22000000−2i2i002i−2i00000000000000002-2-22-22-22-22-22000022-2-200-22000000−2i2i002i−2i0000000000000000
χ432-2-22-22-22-22-220000-2-222002-200002-200-220000000000000000002-2-22-22-22-22-220000-2-222002-200002-200-22000000000000000000
χ442-2-22-22-22-22-220000-2-222002-20000-22002-20000000000000000002-2-22-22-22-22-220000-2-222002-20000-22002-2000000000000000000
χ4544-44-4-44-40000000000000000004-400000000000000000000000044-44-4-44-40000000000000000004-4000000000000000000000000
χ4644-44-4-44-4000000000000000000-4400000000000000000000000044-44-4-44-4000000000000000000-44000000000000000000000000
χ4744-4-444-4-4000000004-4-440000000000000000000000000000000044-4-444-4-4000000004-4-4400000000000000000000000000000000
χ4844-4-444-4-400000000-444-40000000000000000000000000000000044-4-444-4-400000000-444-400000000000000000000000000000000
χ494-4444-4-4-400004-4-440000000000000000000000000000000000004-4444-4-4-400004-4-44000000000000000000000000000000000000
χ504-4444-4-4-40000-444-40000000000000000000000000000000000004-4444-4-4-40000-444-4000000000000000000000000000000000000
χ514-4-4-44-4444-4-4400000000000000000000000000000000000000004-4-4-44-4444-4-440000000000000000000000000000000000000000
χ524-4-4-44-444-444-400000000000000000000000000000000000000004-4-4-44-444-444-40000000000000000000000000000000000000000
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
χ57111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111
χ58111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ59111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ60111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ6111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111
χ6211111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ6311111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ6411111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111
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
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χ74222-2-2-2-2222-2-222-2-200002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2-2-2-22222-2-2-222-2-2220000-220000000000000000000000i2−i2i2−i2i2−i2i2−i2
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χ882-22-2-222-20000-22-22-22-2200002-20000000000−2i2i002i−2i0000000000-22-222-2-2200002-22-22-22-20000-2200000000002i−2i00−2i2i0000000000
χ892-2-22-22-222-22-2000022-2-2002-20000002i−2i002i−2i0000000000000000-222-22-22-2-22-220000-2-22200-22000000−2i2i00−2i2i0000000000000000
χ902-2-22-22-222-22-2000022-2-2002-2000000−2i2i00−2i2i0000000000000000-222-22-22-2-22-220000-2-22200-220000002i−2i002i−2i0000000000000000
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χ942-2-22-22-22-22-22000022-2-200-22000000−2i2i002i−2i0000000000000000-222-22-22-22-22-20000-2-222002-20000002i−2i00−2i2i0000000000000000
χ952-2-22-22-22-22-220000-2-222002-200002-200-22000000000000000000-222-22-22-22-22-2000022-2-200-220000-22002-2000000000000000000
χ962-2-22-22-22-22-220000-2-222002-20000-22002-2000000000000000000-222-22-22-22-22-2000022-2-200-2200002-200-22000000000000000000
χ9744-44-4-44-40000000000000000004-4000000000000000000000000-4-44-444-44000000000000000000-44000000000000000000000000
χ9844-44-4-44-4000000000000000000-44000000000000000000000000-4-44-444-440000000000000000004-4000000000000000000000000
χ9944-4-444-4-4000000004-4-4400000000000000000000000000000000-4-444-4-44400000000-444-400000000000000000000000000000000
χ10044-4-444-4-400000000-444-400000000000000000000000000000000-4-444-4-444000000004-4-4400000000000000000000000000000000
χ1014-4444-4-4-400004-4-44000000000000000000000000000000000000-44-4-4-44440000-444-4000000000000000000000000000000000000
χ1024-4444-4-4-40000-444-4000000000000000000000000000000000000-44-4-4-444400004-4-44000000000000000000000000000000000000
χ1034-4-4-44-4444-4-440000000000000000000000000000000000000000-4444-44-4-4-444-40000000000000000000000000000000000000000
χ1044-4-4-44-444-444-40000000000000000000000000000000000000000-4444-44-4-44-4-440000000000000000000000000000000000000000

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