Finite Group Databasebeta

← Group #612217

Character table — Group #612217

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111114444444444448888888888888888888888881111111111111111444444444444888888888888888888888888
order12222222222222222222444444444444444444444444444444442222222222222222222244444444444444444444444444444444
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
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ172222-2-2-222-2-222-2-2-20000000022-2-20000000000000000002i−2i2i−2i002222-2-2-222-2-222-2-2-20000000022-2-20000000000000000002i−2i2i−2i00
χ182222-2-2-222-2-222-2-2-20000000022-2-2000000000000000000−2i2i−2i2i002222-2-2-222-2-222-2-2-20000000022-2-2000000000000000000−2i2i−2i2i00
χ192222-2-2-222-2-222-2-2-200000000-2-2220000000000000000002i−2i−2i2i002222-2-2-222-2-222-2-2-200000000-2-2220000000000000000002i−2i−2i2i00
χ202222-2-2-222-2-222-2-2-200000000-2-222000000000000000000−2i2i2i−2i002222-2-2-222-2-222-2-2-200000000-2-222000000000000000000−2i2i2i−2i00
χ21222-22-2-22-22-2-2-222-222-2-20000000000002i−2i2i−2i0000000000000000222-22-2-22-22-2-2-222-222-2-20000000000002i−2i2i−2i0000000000000000
χ22222-22-2-22-22-2-2-222-222-2-2000000000000−2i2i−2i2i0000000000000000222-22-2-22-22-2-2-222-222-2-2000000000000−2i2i−2i2i0000000000000000
χ23222-22-2-22-22-2-2-222-2-2-2220000000000002i−2i−2i2i0000000000000000222-22-2-22-22-2-2-222-2-2-2220000000000002i−2i−2i2i0000000000000000
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χ2522-22-22-2-22-22-2-222-22-22-2000000002i−2i2i−2i0000000000000000000022-22-22-2-22-22-2-222-22-22-2000000002i−2i2i−2i00000000000000000000
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χ3122-2-222-2-2-22222-2-2-200000000-22-2200000000000000002i−2i0000−2i2i22-2-222-2-2-22222-2-2-200000000-22-2200000000000000002i−2i0000−2i2i
χ3222-2-222-2-2-22222-2-2-200000000-22-220000000000000000−2i2i00002i−2i22-2-222-2-2-22222-2-2-200000000-22-220000000000000000−2i2i00002i−2i
χ3322-2-2-2-22-2-2-2-2222222-2-2222-2-22-2-2200000000000000000000000022-2-2-2-22-2-2-2-2222222-2-2222-2-22-2-22000000000000000000000000
χ3422-2-2-2-22-2-2-2-2222222-2-22-2-222-222-200000000000000000000000022-2-2-2-22-2-2-2-2222222-2-22-2-222-222-2000000000000000000000000
χ3522-2-2-2-22-2-2-2-222222-222-222-2-2-222-200000000000000000000000022-2-2-2-22-2-2-2-222222-222-222-2-2-222-2000000000000000000000000
χ3622-2-2-2-22-2-2-2-222222-222-2-2-2222-2-2200000000000000000000000022-2-2-2-22-2-2-2-222222-222-2-2-2222-2-22000000000000000000000000
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χ422-2-222-222-2-222-22-2-200002-2-22000000000000−2i2i00−2i2i00000000002-2-222-222-2-222-22-2-200002-2-22000000000000−2i2i00−2i2i0000000000
χ432-2-222-222-2-222-22-2-20000-222-20000000000002i−2i00−2i2i00000000002-2-222-222-2-222-22-2-20000-222-20000000000002i−2i00−2i2i0000000000
χ442-2-222-222-2-222-22-2-20000-222-2000000000000−2i2i002i−2i00000000002-2-222-222-2-222-22-2-20000-222-2000000000000−2i2i002i−2i0000000000
χ45444-4-4444-4-44-4-4-4-44000000000000000000000000000000000000444-4-4444-4-44-4-4-4-44000000000000000000000000000000000000
χ4644-444-44-444-4-4-4-4-4400000000000000000000000000000000000044-444-44-444-4-4-4-4-44000000000000000000000000000000000000
χ474-444444-4-4-4-4-44-44-40000000000000000000000000000000000004-444444-4-4-4-4-44-44-4000000000000000000000000000000000000
χ484-444-4-4-4-4-444-444-440000000000000000000000000000000000004-444-4-4-4-4-444-444-44000000000000000000000000000000000000
χ494-44-44-4-4-44-444-4-4440000000000000000000000000000000000004-44-44-4-4-44-444-4-444000000000000000000000000000000000000
χ504-4-44-44-44-44-44-4-4440000000000000000000000000000000000004-4-44-44-44-44-44-4-444000000000000000000000000000000000000
χ514-4-4-444-444-4-4-444-440000000000000000000000000000000000004-4-4-444-444-4-4-444-44000000000000000000000000000000000000
χ524-4-4-4-4-444444-44-44-40000000000000000000000000000000000004-4-4-4-4-444444-44-44-4000000000000000000000000000000000000
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
χ5711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ5811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111
χ621111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1
χ631111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1
χ641111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111
χ651111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ661111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ671111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ681111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ692222-2-2-222-2-222-2-2-20000000022-2-20000000000000000002i−2i2i−2i00-2-2-2-2222-2-222-2-222200000000-2-222000000000000000000−2i2i−2i2i00
χ702222-2-2-222-2-222-2-2-20000000022-2-2000000000000000000−2i2i−2i2i00-2-2-2-2222-2-222-2-222200000000-2-2220000000000000000002i−2i2i−2i00
χ712222-2-2-222-2-222-2-2-200000000-2-2220000000000000000002i−2i−2i2i00-2-2-2-2222-2-222-2-22220000000022-2-2000000000000000000−2i2i2i−2i00
χ722222-2-2-222-2-222-2-2-200000000-2-222000000000000000000−2i2i2i−2i00-2-2-2-2222-2-222-2-22220000000022-2-20000000000000000002i−2i−2i2i00
χ73222-22-2-22-22-2-2-222-222-2-20000000000002i−2i2i−2i0000000000000000-2-2-22-222-22-2222-2-22-2-222000000000000−2i2i−2i2i0000000000000000
χ74222-22-2-22-22-2-2-222-222-2-2000000000000−2i2i−2i2i0000000000000000-2-2-22-222-22-2222-2-22-2-2220000000000002i−2i2i−2i0000000000000000
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χ922-22-2-222-222-22-22-2-20000-22-2200000000000000−2i2i002i−2i00000000-22-222-2-22-2-22-22-22200002-22-2000000000000002i−2i00−2i2i00000000
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χ994-444444-4-4-4-4-44-44-4000000000000000000000000000000000000-44-4-4-4-4-444444-44-44000000000000000000000000000000000000
χ1004-444-4-4-4-4-444-444-44000000000000000000000000000000000000-44-4-444444-4-44-4-44-4000000000000000000000000000000000000
χ1014-44-44-4-4-44-444-4-444000000000000000000000000000000000000-44-44-4444-44-4-444-4-4000000000000000000000000000000000000
χ1024-4-44-44-44-44-44-4-444000000000000000000000000000000000000-444-44-44-44-44-444-4-4000000000000000000000000000000000000
χ1034-4-4-444-444-4-4-444-44000000000000000000000000000000000000-4444-4-44-4-4444-4-44-4000000000000000000000000000000000000
χ1044-4-4-4-4-444444-44-44-4000000000000000000000000000000000000-444444-4-4-4-4-44-44-44000000000000000000000000000000000000

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