Finite Group Databasebeta

← Group #72319375

Character table — Group #72319375

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1122222222222222244444444444444444488888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232
order1222222224444444422222222444444444422222244444444444444444444444448888222224444444448888888888888888884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-11111-1-1-1-11111111111111111-1-1-111111111-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-111111111-1-1-1-1
χ9111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ10111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ11111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ12111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ13111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ14111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-111
χ15111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-111
χ16111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ1711111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111-1-111-111-111-1-1-1-111-1-111-1-1-1-111-1-111-1-11-11-1
χ1811111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-111-1-111-1-111-11-11
χ1911111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-11-111-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11
χ2011111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1111111-1-111-1-11111-1-11111-1-11-11-1
χ2111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11111111111-11-1-11-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-11-11
χ2211111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-111-1-1-1-111-1-1111111-1-1-1-1111-11-1
χ2311111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11111111111-1-11-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111-11-1
χ2411111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-11
χ2511111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-111-1
χ2611111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-11-1-11-1-1111111-1-1-1-111-1-111-1-111-1-11-1-11
χ2711111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1111-111-11-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11-1-11
χ2811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1111111-11-1-11-1-1-11111-1-11111-1-1-1-111-1-1-1-111-111-1
χ2911111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-11-1-11-111-1-111-1-11111-1-11111-1-1-1-1111-1-11
χ3011111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11-111-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1111111-1-111-1-1-111-1
χ3211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-11111-1-111-1-1-1-111-1-1-1-111-1-1111-1-11
χ332222-22-2-2-22-22-22-22-2000022-2-2000022-2-2000000000000002i2i−2i−2i00002i2i−2i−2i0002i2i−2i−2i2i2i−2i−2i0000200-200000000000000000000002-20000
χ342222-22-2-2-22-22-22-22-2000022-2-2000022-2-2000000000000002i2i−2i−2i00002i2i−2i−2i000−2i−2i2i2i−2i−2i2i2i0000-20020000000000000000000000-220000
χ352222-22-2-2-22-22-22-22-2000022-2-2000022-2-200000000000000−2i−2i2i2i0000−2i−2i2i2i0002i2i−2i−2i2i2i−2i−2i0000-20020000000000000000000000-220000
χ362222-22-2-2-22-22-22-22-2000022-2-2000022-2-200000000000000−2i−2i2i2i0000−2i−2i2i2i000−2i−2i2i2i−2i−2i2i2i0000200-200000000000000000000002-20000
χ372222-22-2-2-22-22-22-22-20000-2-2220000-2-222000000000000002i2i−2i−2i0000−2i−2i2i2i0002i2i−2i−2i−2i−2i2i2i0000200-20000000000000000000000-220000
χ382222-22-2-2-22-22-22-22-20000-2-2220000-2-222000000000000002i2i−2i−2i0000−2i−2i2i2i000−2i−2i2i2i2i2i−2i−2i0000-200200000000000000000000002-20000
χ392222-22-2-2-22-22-22-22-20000-2-2220000-2-22200000000000000−2i−2i2i2i00002i2i−2i−2i0002i2i−2i−2i−2i−2i2i2i0000-200200000000000000000000002-20000
χ402222-22-2-2-22-22-22-22-20000-2-2220000-2-22200000000000000−2i−2i2i2i00002i2i−2i−2i000−2i−2i2i2i2i2i−2i−2i0000200-20000000000000000000000-220000
χ41222-22-22-2-22-2-22-222-2000022-2-20000-2-22200000000002i2i−2i−2i00002i2i−2i−2i00000002i−2i2i−2i2i−2i2i−2i000200-20000000000000000000002-2000000
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χ44222-22-22-2-22-2-22-222-2000022-2-20000-2-2220000000000−2i−2i2i2i0000−2i−2i2i2i0000000−2i2i−2i2i−2i2i−2i2i000200-20000000000000000000002-2000000
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χ46222-22-22-2-22-2-22-222-20000-2-222000022-2-200000000002i2i−2i−2i0000−2i−2i2i2i0000000−2i2i−2i2i2i−2i2i−2i000-20020000000000000000000002-2000000
χ47222-22-22-2-22-2-22-222-20000-2-222000022-2-20000000000−2i−2i2i2i00002i2i−2i−2i00000002i−2i2i−2i−2i2i−2i2i000-20020000000000000000000002-2000000
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χ51222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-2222200-2-222000000000000000000000002-2-22-222-200000000002-20000000000-22000000000000
χ52222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-2222200-2-22200000000000000000000000-222-22-2-220000000000-2200000000002-2000000000000
χ53222-2-2-2-22222-2-2-2-222-2-2222222-2-222-2-2-2-200-2-222000000000000000000000002-2-222-2-220000000000-220000000000-22000000000000
χ54222-2-2-2-22222-2-2-2-222-2-2222222-2-222-2-2-2-200-2-22200000000000000000000000-222-2-222-200000000002-200000000002-2000000000000
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χ10244-4-444-44-4-444-4-444-40000-444-400004-4-440000000000000000000000000000000000000000000000000000000000000000000000000
χ10344-4-4-444-4444-4-444-4-44-4-4400004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ10444-4-4-444-4444-4-444-4-4-444-40000-444-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ10516-1600000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000
χ10616-160000000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000

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