Finite Group Databasebeta

← Group #611424

Character table — Group #611424

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111114444444444448888888888888888888888881111111111111111444444444444888888888888888888888888
order12222222222222224444444444444444444444444444444444442222222222222222444444444444444444444444444444444444
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
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111
χ101111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-11111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ172222-2-222-2-2-2-22-2-2200002i2i−2i−2i00000000000000000000002i−2i2-2002222-2-222-2-2-2-22-2-2200002i2i−2i−2i00000000000000000000002i−2i2-200
χ182222-2-222-2-2-2-22-2-2200002i2i−2i−2i0000000000000000000000−2i2i-22002222-2-222-2-2-2-22-2-2200002i2i−2i−2i0000000000000000000000−2i2i-2200
χ192222-2-222-2-2-2-22-2-220000−2i−2i2i2i00000000000000000000002i−2i-22002222-2-222-2-2-2-22-2-220000−2i−2i2i2i00000000000000000000002i−2i-2200
χ202222-2-222-2-2-2-22-2-220000−2i−2i2i2i0000000000000000000000−2i2i2-2002222-2-222-2-2-2-22-2-220000−2i−2i2i2i0000000000000000000000−2i2i2-200
χ21222-2-2-2-2-2222-222-2-222-2-2000000002i−2i2i−2i00000000000000000000222-2-2-2-2-2222-222-2-222-2-2000000002i−2i2i−2i00000000000000000000
χ22222-2-2-2-2-2222-222-2-222-2-200000000−2i2i−2i2i00000000000000000000222-2-2-2-2-2222-222-2-222-2-200000000−2i2i−2i2i00000000000000000000
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χ2522-2-22-22-222-22-2-2-220000000022-2-2000000002i−2i00002i−2i0000000022-2-22-22-222-22-2-2-220000000022-2-2000000002i−2i00002i−2i00000000
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χ2822-2-22-22-222-22-2-2-2200000000-2-22200000000−2i2i00002i−2i0000000022-2-22-22-222-22-2-2-2200000000-2-22200000000−2i2i00002i−2i00000000
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χ302-22-2-22-222-222-2-2-22000000002-22-20000000000−2i2i−2i2i00000000002-22-2-22-222-222-2-2-22000000002-22-20000000000−2i2i−2i2i0000000000
χ312-22-2-22-222-222-2-2-2200000000-22-2200000000002i−2i−2i2i00000000002-22-2-22-222-222-2-2-2200000000-22-2200000000002i−2i−2i2i0000000000
χ322-22-2-22-222-222-2-2-2200000000-22-220000000000−2i2i2i−2i00000000002-22-2-22-222-222-2-2-2200000000-22-220000000000−2i2i2i−2i0000000000
χ332-2-2222-2-2-222-22-2-2200002i−2i2i−2i000000000000000000002i−2i00002-22-2-2222-2-2-222-22-2-2200002i−2i2i−2i000000000000000000002i−2i00002-2
χ342-2-2222-2-2-222-22-2-2200002i−2i2i−2i00000000000000000000−2i2i0000-222-2-2222-2-2-222-22-2-2200002i−2i2i−2i00000000000000000000−2i2i0000-22
χ352-2-2222-2-2-222-22-2-220000−2i2i−2i2i000000000000000000002i−2i0000-222-2-2222-2-2-222-22-2-220000−2i2i−2i2i000000000000000000002i−2i0000-22
χ362-2-2222-2-2-222-22-2-220000−2i2i−2i2i00000000000000000000−2i2i00002-22-2-2222-2-2-222-22-2-220000−2i2i−2i2i00000000000000000000−2i2i00002-2
χ372-2-22-2-2-2-22-2-2222222-22-22-2-222-2-220000000000000000000000002-2-22-2-2-2-22-2-2222222-22-22-2-222-2-22000000000000000000000000
χ382-2-22-2-2-2-22-2-2222222-22-2-222-2-222-20000000000000000000000002-2-22-2-2-2-22-2-2222222-22-2-222-2-222-2000000000000000000000000
χ392-2-22-2-2-2-22-2-222222-22-222-2-22-222-20000000000000000000000002-2-22-2-2-2-22-2-222222-22-222-2-22-222-2000000000000000000000000
χ402-2-22-2-2-2-22-2-222222-22-22-222-22-2-220000000000000000000000002-2-22-2-2-2-22-2-222222-22-22-222-22-2-22000000000000000000000000
χ412-2-2-222222-2-2-222-2-22-2-220000000000002i−2i2i−2i00000000000000002-2-2-222222-2-2-222-2-22-2-220000000000002i−2i2i−2i0000000000000000
χ422-2-2-222222-2-2-222-2-22-2-22000000000000−2i2i−2i2i00000000000000002-2-2-222222-2-2-222-2-22-2-22000000000000−2i2i−2i2i0000000000000000
χ432-2-2-222222-2-2-222-2-2-222-20000000000002i−2i−2i2i00000000000000002-2-2-222222-2-2-222-2-2-222-20000000000002i−2i−2i2i0000000000000000
χ442-2-2-222222-2-2-222-2-2-222-2000000000000−2i2i2i−2i00000000000000002-2-2-222222-2-2-222-2-2-222-2000000000000−2i2i2i−2i0000000000000000
χ45444-444-4-4-4-4-444-44-4000000000000000000000000000000000000444-444-4-4-4-4-444-44-4000000000000000000000000000000000000
χ4644-444-4-44-4-444-44-4-400000000000000000000000000000000000044-444-4-44-4-444-44-4-4000000000000000000000000000000000000
χ4744-44-44-4444-4-4-4-44-400000000000000000000000000000000000044-44-44-4444-4-4-4-44-4000000000000000000000000000000000000
χ4844-4-4-444-4-4-44-4-444400000000000000000000000000000000000044-4-4-444-4-4-44-4-4444000000000000000000000000000000000000
χ494-4444-44-44-44-4-4-44-40000000000000000000000000000000000004-4444-44-44-44-4-4-44-4000000000000000000000000000000000000
χ504-444-444-4-44-44-44-4-40000000000000000000000000000000000004-444-444-4-44-44-44-4-4000000000000000000000000000000000000
χ514-44-44-4-44-44-4-4-44440000000000000000000000000000000000004-44-44-4-44-44-4-4-4444000000000000000000000000000000000000
χ524-4-4-4-4-444-44444-44-40000000000000000000000000000000000004-4-4-4-4-444-44444-44-4000000000000000000000000000000000000
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
χ5711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ5811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ611111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111-1-1
χ621111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111
χ631111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-111
χ641111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-1
χ651111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ661111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ671111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1
χ681111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ692222-2-222-2-2-2-22-2-2200002i2i−2i−2i00000000000000000000002i−2i2-200-2-2-2-222-2-22222-222-20000−2i−2i2i2i0000000000000000000000−2i2i-2200
χ702222-2-222-2-2-2-22-2-2200002i2i−2i−2i0000000000000000000000−2i2i-2200-2-2-2-222-2-22222-222-20000−2i−2i2i2i00000000000000000000002i−2i2-200
χ712222-2-222-2-2-2-22-2-220000−2i−2i2i2i00000000000000000000002i−2i-2200-2-2-2-222-2-22222-222-200002i2i−2i−2i0000000000000000000000−2i2i2-200
χ722222-2-222-2-2-2-22-2-220000−2i−2i2i2i0000000000000000000000−2i2i2-200-2-2-2-222-2-22222-222-200002i2i−2i−2i00000000000000000000002i−2i-2200
χ73222-2-2-2-2-2222-222-2-222-2-2000000002i−2i2i−2i00000000000000000000-2-2-222222-2-2-22-2-222-2-22200000000−2i2i−2i2i00000000000000000000
χ74222-2-2-2-2-2222-222-2-222-2-200000000−2i2i−2i2i00000000000000000000-2-2-222222-2-2-22-2-222-2-222000000002i−2i2i−2i00000000000000000000
χ75222-2-2-2-2-2222-222-2-2-2-222000000002i−2i−2i2i00000000000000000000-2-2-222222-2-2-22-2-22222-2-200000000−2i2i2i−2i00000000000000000000
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χ822-22-2-22-222-222-2-2-22000000002-22-20000000000−2i2i−2i2i0000000000-22-222-22-2-22-2-2222-200000000-22-2200000000002i−2i2i−2i0000000000
χ832-22-2-22-222-222-2-2-2200000000-22-2200000000002i−2i−2i2i0000000000-22-222-22-2-22-2-2222-2000000002-22-20000000000−2i2i2i−2i0000000000
χ842-22-2-22-222-222-2-2-2200000000-22-220000000000−2i2i2i−2i0000000000-22-222-22-2-22-2-2222-2000000002-22-200000000002i−2i−2i2i0000000000
χ852-2-2222-2-2-222-22-2-2200002i−2i2i−2i000000000000000000002i−2i00002-2-222-2-2-2222-2-22-222-20000−2i2i−2i2i00000000000000000000−2i2i0000-22
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χ872-2-2222-2-2-222-22-2-220000−2i2i−2i2i000000000000000000002i−2i0000-22-222-2-2-2222-2-22-222-200002i−2i2i−2i00000000000000000000−2i2i00002-2
χ882-2-2222-2-2-222-22-2-220000−2i2i−2i2i00000000000000000000−2i2i00002-2-222-2-2-2222-2-22-222-200002i−2i2i−2i000000000000000000002i−2i0000-22
χ892-2-22-2-2-2-22-2-2222222-22-22-2-222-2-22000000000000000000000000-222-22222-222-2-2-2-2-2-22-22-222-2-222-2000000000000000000000000
χ902-2-22-2-2-2-22-2-2222222-22-2-222-2-222-2000000000000000000000000-222-22222-222-2-2-2-2-2-22-222-2-222-2-22000000000000000000000000
χ912-2-22-2-2-2-22-2-222222-22-222-2-22-222-2000000000000000000000000-222-22222-222-2-2-2-2-22-22-2-222-22-2-22000000000000000000000000
χ922-2-22-2-2-2-22-2-222222-22-22-222-22-2-22000000000000000000000000-222-22222-222-2-2-2-2-22-22-22-2-22-222-2000000000000000000000000
χ932-2-2-222222-2-2-222-2-22-2-220000000000002i−2i2i−2i0000000000000000-2222-2-2-2-2-2222-2-222-222-2000000000000−2i2i−2i2i0000000000000000
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χ962-2-2-222222-2-2-222-2-2-222-2000000000000−2i2i2i−2i0000000000000000-2222-2-2-2-2-2222-2-2222-2-220000000000002i−2i−2i2i0000000000000000
χ97444-444-4-4-4-4-444-44-4000000000000000000000000000000000000-4-4-44-4-444444-4-44-44000000000000000000000000000000000000
χ9844-444-4-44-4-444-44-4-4000000000000000000000000000000000000-4-44-4-444-444-4-44-444000000000000000000000000000000000000
χ9944-44-44-4444-4-4-4-44-4000000000000000000000000000000000000-4-44-44-44-4-4-44444-44000000000000000000000000000000000000
χ10044-4-4-444-4-4-44-4-4444000000000000000000000000000000000000-4-4444-4-4444-444-4-4-4000000000000000000000000000000000000
χ1014-4444-44-44-44-4-4-44-4000000000000000000000000000000000000-44-4-4-44-44-44-4444-44000000000000000000000000000000000000
χ1024-444-444-4-44-44-44-4-4000000000000000000000000000000000000-44-4-44-4-444-44-44-444000000000000000000000000000000000000
χ1034-44-44-4-44-44-4-4-4444000000000000000000000000000000000000-44-44-444-44-4444-4-4-4000000000000000000000000000000000000
χ1044-4-4-4-4-444-44444-44-4000000000000000000000000000000000000-444444-4-44-4-4-4-44-44000000000000000000000000000000000000

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