Finite Group Databasebeta

← Group #611513

Character table — Group #611513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111114444444444448888888888888888888888881111111111111111444444444444888888888888888888888888
order12222222222222224444444444444444444444444444444444442222222222222222444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111
χ101111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-1
χ17222-22222-2-2-2-2-2-2-2200002i2i−2i−2i00000000000000002i−2i2-200000000222-22222-2-2-2-2-2-2-2200002i2i−2i−2i00000000000000002i−2i2-200000000
χ18222-22222-2-2-2-2-2-2-2200002i2i−2i−2i0000000000000000−2i2i-2200000000222-22222-2-2-2-2-2-2-2200002i2i−2i−2i0000000000000000−2i2i-2200000000
χ19222-22222-2-2-2-2-2-2-220000−2i−2i2i2i00000000000000002i−2i-2200000000222-22222-2-2-2-2-2-2-220000−2i−2i2i2i00000000000000002i−2i-2200000000
χ20222-22222-2-2-2-2-2-2-220000−2i−2i2i2i0000000000000000−2i2i2-200000000222-22222-2-2-2-2-2-2-220000−2i−2i2i2i0000000000000000−2i2i2-200000000
χ2122-222-2-2-2222-2-2-2-22000000002i2i−2i−2i000000002-22i−2i00000000000022-222-2-2-2222-2-2-2-22000000002i2i−2i−2i000000002-22i−2i000000000000
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χ292-222-22-2-22-2-222-2-222i−2i2i−2i000000002i−2i2-2000000000000000000002-222-22-2-22-2-222-2-222i−2i2i−2i000000002i−2i2-200000000000000000000
χ302-222-22-2-22-2-222-2-222i−2i2i−2i00000000−2i2i-22000000000000000000002-222-22-2-22-2-222-2-222i−2i2i−2i00000000−2i2i-2200000000000000000000
χ312-222-22-2-22-2-222-2-22−2i2i−2i2i000000002i−2i-22000000000000000000002-222-22-2-22-2-222-2-22−2i2i−2i2i000000002i−2i-2200000000000000000000
χ322-222-22-2-22-2-222-2-22−2i2i−2i2i00000000−2i2i2-2000000000000000000002-222-22-2-22-2-222-2-22−2i2i−2i2i00000000−2i2i2-200000000000000000000
χ332-22-22-22-22-22-22-22-2000000002-22-20000002i−2i0000000000002i−2i002-22-22-22-22-22-22-22-2000000002-22-20000002i−2i0000000000002i−2i00
χ342-22-22-22-22-22-22-22-2000000002-22-2000000−2i2i000000000000−2i2i002-22-22-22-22-22-22-22-2000000002-22-2000000−2i2i000000000000−2i2i00
χ352-22-22-22-22-22-22-22-200000000-22-220000002i−2i000000000000−2i2i002-22-22-22-22-22-22-22-200000000-22-220000002i−2i000000000000−2i2i00
χ362-22-22-22-22-22-22-22-200000000-22-22000000−2i2i0000000000002i−2i002-22-22-22-22-22-22-22-200000000-22-22000000−2i2i0000000000002i−2i00
χ372-2-2222-22-22-2-22-22-200002i−2i2i−2i000000000000000000002-200002i−2i2-2-2222-22-22-2-22-22-200002i−2i2i−2i000000000000000000002-200002i−2i
χ382-2-2222-22-22-2-22-22-200002i−2i2i−2i00000000000000000000-220000−2i2i2-2-2222-22-22-2-22-22-200002i−2i2i−2i00000000000000000000-220000−2i2i
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χ412-2-2-222-222-222-22-2-22i−2i−2i2i2-2-222i−2i−2i2i0000000000000000000000002-2-2-222-222-222-22-2-22i−2i−2i2i2-2-222i−2i−2i2i000000000000000000000000
χ422-2-2-222-222-222-22-2-22i−2i−2i2i-222-2−2i2i2i−2i0000000000000000000000002-2-2-222-222-222-22-2-22i−2i−2i2i-222-2−2i2i2i−2i000000000000000000000000
χ432-2-2-222-222-222-22-2-2−2i2i2i−2i2-2-22−2i2i2i−2i0000000000000000000000002-2-2-222-222-222-22-2-2−2i2i2i−2i2-2-22−2i2i2i−2i000000000000000000000000
χ442-2-2-222-222-222-22-2-2−2i2i2i−2i-222-22i−2i−2i2i0000000000000000000000002-2-2-222-222-222-22-2-2−2i2i2i−2i-222-22i−2i−2i2i000000000000000000000000
χ454444-4-4-44-4-444-4-44-40000000000000000000000000000000000004444-4-4-44-4-444-4-44-4000000000000000000000000000000000000
χ46444-4-4-4-4444-4-444-4-4000000000000000000000000000000000000444-4-4-4-4444-4-444-4-4000000000000000000000000000000000000
χ4744-44-444-4-4-44-444-4-400000000000000000000000000000000000044-44-444-4-4-44-444-4-4000000000000000000000000000000000000
χ4844-4-44-4-4-4-4-4-44444400000000000000000000000000000000000044-4-44-4-4-4-4-4-444444000000000000000000000000000000000000
χ494-4444-44-4-44-44-44-4-40000000000000000000000000000000000004-4444-44-4-44-44-44-4-4000000000000000000000000000000000000
χ504-44-4-44-4-4-444-4-44440000000000000000000000000000000000004-44-4-44-4-4-444-4-4444000000000000000000000000000000000000
χ514-4-44-4-4444-4-4-4-44440000000000000000000000000000000000004-4-44-4-4444-4-4-4-4444000000000000000000000000000000000000
χ524-4-4-4-4-444-44444-4-440000000000000000000000000000000000004-4-4-4-4-444-44444-4-44000000000000000000000000000000000000
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
χ541111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111
χ551111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1111111
χ5811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-111-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-111
χ611111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11111-1-1
χ621111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-111
χ631111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111-1-11111
χ641111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1-1-1-1-1
χ651111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ661111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ671111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ681111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111
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χ70222-22222-2-2-2-2-2-2-2200002i2i−2i−2i0000000000000000−2i2i-2200000000-2-2-22-2-2-2-22222222-20000−2i−2i2i2i00000000000000002i−2i2-200000000
χ71222-22222-2-2-2-2-2-2-220000−2i−2i2i2i00000000000000002i−2i-2200000000-2-2-22-2-2-2-22222222-200002i2i−2i−2i0000000000000000−2i2i2-200000000
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χ872-22-22-22-22-22-22-22-200000000-22-220000002i−2i000000000000−2i2i00-22-22-22-22-22-22-22-22000000002-22-2000000−2i2i0000000000002i−2i00
χ882-22-22-22-22-22-22-22-200000000-22-22000000−2i2i0000000000002i−2i00-22-22-22-22-22-22-22-22000000002-22-20000002i−2i000000000000−2i2i00
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χ902-2-2222-22-22-2-22-22-200002i−2i2i−2i00000000000000000000-220000−2i2i-222-2-2-22-22-222-22-220000−2i2i−2i2i000000000000000000002-200002i−2i
χ912-2-2222-22-22-2-22-22-20000−2i2i−2i2i000000000000000000002-20000−2i2i-222-2-2-22-22-222-22-2200002i−2i2i−2i00000000000000000000-2200002i−2i
χ922-2-2222-22-22-2-22-22-20000−2i2i−2i2i00000000000000000000-2200002i−2i-222-2-2-22-22-222-22-2200002i−2i2i−2i000000000000000000002-20000−2i2i
χ932-2-2-222-222-222-22-2-22i−2i−2i2i2-2-222i−2i−2i2i000000000000000000000000-2222-2-22-2-22-2-22-222−2i2i2i−2i-222-2−2i2i2i−2i000000000000000000000000
χ942-2-2-222-222-222-22-2-22i−2i−2i2i-222-2−2i2i2i−2i000000000000000000000000-2222-2-22-2-22-2-22-222−2i2i2i−2i2-2-222i−2i−2i2i000000000000000000000000
χ952-2-2-222-222-222-22-2-2−2i2i2i−2i2-2-22−2i2i2i−2i000000000000000000000000-2222-2-22-2-22-2-22-2222i−2i−2i2i-222-22i−2i−2i2i000000000000000000000000
χ962-2-2-222-222-222-22-2-2−2i2i2i−2i-222-22i−2i−2i2i000000000000000000000000-2222-2-22-2-22-2-22-2222i−2i−2i2i2-2-22−2i2i2i−2i000000000000000000000000
χ974444-4-4-44-4-444-4-44-4000000000000000000000000000000000000-4-4-4-4444-444-4-444-44000000000000000000000000000000000000
χ98444-4-4-4-4444-4-444-4-4000000000000000000000000000000000000-4-4-44444-4-4-444-4-444000000000000000000000000000000000000
χ9944-44-444-4-4-44-444-4-4000000000000000000000000000000000000-4-44-44-4-4444-44-4-444000000000000000000000000000000000000
χ10044-4-44-4-4-4-4-4-444444000000000000000000000000000000000000-4-444-4444444-4-4-4-4-4000000000000000000000000000000000000
χ1014-4444-44-4-44-44-44-4-4000000000000000000000000000000000000-44-4-4-44-444-44-44-444000000000000000000000000000000000000
χ1024-44-4-44-4-4-444-4-4444000000000000000000000000000000000000-44-444-4444-4-444-4-4-4000000000000000000000000000000000000
χ1034-4-44-4-4444-4-4-4-4444000000000000000000000000000000000000-444-444-4-4-44444-4-4-4000000000000000000000000000000000000
χ1044-4-4-4-4-444-44444-4-44000000000000000000000000000000000000-444444-4-44-4-4-4-444-4000000000000000000000000000000000000

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