Finite Group Databasebeta

← Group #611713

Character table — Group #611713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111114444444444448888888888888888888888881111111111111111444444444444888888888888888888888888
order12222222222222222222444444444444444444444444444444442222222222222222222244444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-111
χ172222222-2-2-2-22-2-2-2-222-2-222-2-222-2-20000000000000000000000002222222-2-2-2-22-2-2-2-222-2-222-2-222-2-2000000000000000000000000
χ182222222-2-2-2-22-2-2-2-222-2-2-2-222-2-2220000000000000000000000002222222-2-2-2-22-2-2-2-222-2-2-2-222-2-222000000000000000000000000
χ192222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-2220000000000000000000000002222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ202222222-2-2-2-22-2-2-2-2-2-222-2-22222-2-20000000000000000000000002222222-2-2-2-22-2-2-2-2-2-222-2-22222-2-2000000000000000000000000
χ212222-2-2-222-2-2-222-2-2000000002i−2i2i−2i002i−2i00002-2000000000000002222-2-2-222-2-2-222-2-2000000002i−2i2i−2i002i−2i00002-200000000000000
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χ272222-2-2-2-2-222-2-2-22200000000−2i2i2i−2i2i−2i00000000-220000000000002222-2-2-2-2-222-2-2-22200000000−2i2i2i−2i2i−2i00000000-22000000000000
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χ3222-2-222-22-22-2-22-22-20000−2i2i−2i2i00000000−2i2i000000002-20000000022-2-222-22-22-2-22-22-20000−2i2i−2i2i00000000−2i2i000000002-200000000
χ3322-2-222-2-22-22-2-22-2200002i−2i−2i2i00000000002i−2i00002-2000000000022-2-222-2-22-22-2-22-2200002i−2i−2i2i00000000002i−2i00002-20000000000
χ3422-2-222-2-22-22-2-22-2200002i−2i−2i2i0000000000−2i2i0000-22000000000022-2-222-2-22-22-2-22-2200002i−2i−2i2i0000000000−2i2i0000-220000000000
χ3522-2-222-2-22-22-2-22-220000−2i2i2i−2i00000000002i−2i0000-22000000000022-2-222-2-22-22-2-22-220000−2i2i2i−2i00000000002i−2i0000-220000000000
χ3622-2-222-2-22-22-2-22-220000−2i2i2i−2i0000000000−2i2i00002-2000000000022-2-222-2-22-22-2-22-220000−2i2i2i−2i0000000000−2i2i00002-20000000000
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χ402-22-22-222-2-22-2-222-2-22-22000000000000000000000000−2i2i2i−2i00002-22-22-222-2-22-2-222-2-22-22000000000000000000000000−2i2i2i−2i0000
χ412-22-22-22-222-2-22-2-222-2-2200000000000000000000000000002i−2i2i−2i2-22-22-22-222-2-22-2-222-2-2200000000000000000000000000002i−2i2i−2i
χ422-22-22-22-222-2-22-2-222-2-220000000000000000000000000000−2i2i−2i2i2-22-22-22-222-2-22-2-222-2-220000000000000000000000000000−2i2i−2i2i
χ432-22-22-22-222-2-22-2-22-222-200000000000000000000000000002i−2i−2i2i2-22-22-22-222-2-22-2-22-222-200000000000000000000000000002i−2i−2i2i
χ442-22-22-22-222-2-22-2-22-222-20000000000000000000000000000−2i2i2i−2i2-22-22-22-222-2-22-2-22-222-20000000000000000000000000000−2i2i2i−2i
χ4544-4-4-4-444-4-4444-4-4400000000000000000000000000000000000044-4-4-4-444-4-4444-4-44000000000000000000000000000000000000
χ4644-4-4-4-44-444-44-444-400000000000000000000000000000000000044-4-4-4-44-444-44-444-4000000000000000000000000000000000000
χ474-44-4-44-44-44-44-44-440000000000000000000000000000000000004-44-4-44-44-44-44-44-44000000000000000000000000000000000000
χ484-44-4-44-4-44-4444-44-40000000000000000000000000000000000004-44-4-44-4-44-4444-44-4000000000000000000000000000000000000
χ494-4-444-4-444-4-44-4-4440000000000000000000000000000000000004-4-444-4-444-4-44-4-444000000000000000000000000000000000000
χ504-4-444-4-4-4-444444-4-40000000000000000000000000000000000004-4-444-4-4-4-444444-4-4000000000000000000000000000000000000
χ514-4-44-4444444-4-4-4-4-40000000000000000000000000000000000004-4-44-4444444-4-4-4-4-4000000000000000000000000000000000000
χ524-4-44-444-4-4-4-4-444440000000000000000000000000000000000004-4-44-444-4-4-4-4-44444000000000000000000000000000000000000
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
χ5411111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ551111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111
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
χ5711111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1-11111
χ5811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-1-1-11111
χ611111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111
χ621111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-111-1-1
χ631111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-1-1
χ641111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111
χ651111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1
χ661111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ671111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ681111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1
χ692222222-2-2-2-22-2-2-2-222-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-22222-22222-2-222-2-222-2-222000000000000000000000000
χ702222222-2-2-2-22-2-2-2-222-2-2-2-222-2-222000000000000000000000000-2-2-2-2-2-2-22222-22222-2-22222-2-222-2-2000000000000000000000000
χ712222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-222000000000000000000000000-2-2-2-2-2-2-22222-2222222-2-2-2-22222-2-2000000000000000000000000
χ722222222-2-2-2-22-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-2-2-2-22222-2222222-2-222-2-2-2-222000000000000000000000000
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χ932-22-22-22-222-2-22-2-222-2-2200000000000000000000000000002i−2i2i−2i-22-22-22-22-2-222-222-2-222-20000000000000000000000000000−2i2i−2i2i
χ942-22-22-22-222-2-22-2-222-2-220000000000000000000000000000−2i2i−2i2i-22-22-22-22-2-222-222-2-222-200000000000000000000000000002i−2i2i−2i
χ952-22-22-22-222-2-22-2-22-222-200000000000000000000000000002i−2i−2i2i-22-22-22-22-2-222-222-22-2-220000000000000000000000000000−2i2i2i−2i
χ962-22-22-22-222-2-22-2-22-222-20000000000000000000000000000−2i2i2i−2i-22-22-22-22-2-222-222-22-2-2200000000000000000000000000002i−2i−2i2i
χ9744-4-4-4-444-4-4444-4-44000000000000000000000000000000000000-4-44444-4-444-4-4-444-4000000000000000000000000000000000000
χ9844-4-4-4-44-444-44-444-4000000000000000000000000000000000000-4-44444-44-4-44-44-4-44000000000000000000000000000000000000
χ994-44-4-44-44-44-44-44-44000000000000000000000000000000000000-44-444-44-44-44-44-44-4000000000000000000000000000000000000
χ1004-44-4-44-4-44-4444-44-4000000000000000000000000000000000000-44-444-444-44-4-4-44-44000000000000000000000000000000000000
χ1014-4-444-4-444-4-44-4-444000000000000000000000000000000000000-444-4-444-4-444-444-4-4000000000000000000000000000000000000
χ1024-4-444-4-4-4-444444-4-4000000000000000000000000000000000000-444-4-44444-4-4-4-4-444000000000000000000000000000000000000
χ1034-4-44-4444444-4-4-4-4-4000000000000000000000000000000000000-444-44-4-4-4-4-4-444444000000000000000000000000000000000000
χ1044-4-44-444-4-4-4-4-44444000000000000000000000000000000000000-444-44-4-444444-4-4-4-4000000000000000000000000000000000000

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