Finite Group Databasebeta

← Group #72261394

Character table — Group #72261394

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111111112222222222224444444444444444444488888888888888888888888888888888881616161616161616161616161616161616161616161616163232323232323232
order1222222222222222222222222222222222222222222222222244444444444444444444444422444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1
χ91111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1-11-1ii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−i
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1-11-1−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii
χ111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i-11-11−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111−i−iii
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii-11-11ii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111ii−i−i
χ131111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i1-11-1ii−i−iii−i−iii−i−i−i−i−i−iiiii-1-111−i−iii
χ141111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiii1-11-1−i−iii−i−iii−i−iiiiiii−i−i−i−i-1-111ii−i−i
χ151111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−i-11-11−i−iiiii−i−i−i−iii−i−i−i−iiiii11-1-1ii−i−i
χ161111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiii-11-11ii−i−i−i−iiiii−i−iiiii−i−i−i−i11-1-1−i−iii
χ1711111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1111-11-1-11-11
χ1911111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-11-11-11-11
χ2011111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-11-111-11-1
χ2111111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-11-11
χ2211111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-11-111-11-1
χ2311111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-11-11-1
χ2411111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-11-11-1-11-11
χ2511111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111iiii−i−i−i−i1-1-11−i−iii−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii
χ2611111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111−i−i−i−iiiii1-1-11ii−i−iii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−i
χ2711111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−i-111-1ii−i−i−i−iii−i−iiiii−i−i−i−iii-111-1−iii−i
χ2811111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiii-111-1−i−iiiii−i−iii−i−i−i−iiiii−i−i-111-1i−i−ii
χ2911111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i1-1-11−i−iii−i−iiiii−i−i−i−iiiii−i−i-111-1−iii−i
χ3011111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii1-1-11ii−i−iii−i−i−i−iiiii−i−i−i−iii-111-1i−i−ii
χ3111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1iiii−i−i−i−i-111-1ii−i−i−i−iii−i−iii−i−iiiii−i−i1-1-11i−i−ii
χ3211111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1−i−i−i−iiiii-111-1−i−iiiii−i−iii−i−iii−i−i−i−iii1-1-11−iii−i
χ3322222222222222222222-2-2-2-222-2-2-2-222-222-2-2-2-2-22-200000000222222220000000000000000-2-2-2-20000000000000000000000000000
χ3422222222222222222222-2-2-2-222-2-2-2-222-222-2-2-2-2-22-200000000-2-2-2-2-2-2-2-2000000000000000022220000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22-2-222222-22000000002222-2-2-2-20000000000000000-22-220000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22-2-222222-2200000000-2-2-2-2222200000000000000002-22-20000000000000000000000000000
χ37222222222222-2-2-2-2222222-2-2-2-222-2-2-2-222222-2-22-2-200000000000000000000000022-2-222-2-2000000002-22-200000000000000000000
χ38222222222222-2-2-2-2222222-2-2-2-222-2-2-2-222222-2-22-2-2000000000000000000000000-2-222-2-22200000000-22-2200000000000000000000
χ39222222222222-2-2-2-22222-2-222-2-2-2-222-2-2-222-2-222-2-220000000000000000000000000000000000002-22-200002-22-20000000000000000
χ40222222222222-2-2-2-22222-2-222-2-2-2-222-2-2-222-2-222-2-22000000000000000000000000000000000000-22-220000-22-220000000000000000
χ41222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-222-2-2-2-2-222-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i00000000000000000000
χ42222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-222-2-2-2-2-222-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i00000000000000000000
χ43222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-2-222-2-222-20000000000000000000000000000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ44222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-2-222-2-222-2000000000000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ4522222222-2-2-2-222222222-2-2-2-2-2-2222222-2-2-222-2-2-2-220000000022-2-222-2-20000000000000000-2-2220000000000000000000000000000
χ4622222222-2-2-2-222222222-2-2-2-2-2-2222222-2-2-222-2-2-2-2200000000-2-222-2-222000000000000000022-2-20000000000000000000000000000
χ4722222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2222-2-22222-20000000022-2-2-2-2220000000000000000-222-20000000000000000000000000000
χ4822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2222-2-22222-200000000-2-22222-2-200000000000000002-2-220000000000000000000000000000
χ4922222222-2-2-2-2-2-2-2-2222222-2-222-2-222-2-22-2-2-2-2-2-222200000000000000000000000022-2-222-2-200000000-22-2200000000000000000000
χ5022222222-2-2-2-2-2-2-2-2222222-2-222-2-222-2-22-2-2-2-2-2-2222000000000000000000000000-2-222-2-222000000002-22-200000000000000000000
χ5122222222-2-2-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2-22222-22-20000000000000000000000000000000000002-22-20000-22-220000000000000000
χ5222222222-2-2-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2-22222-22-2000000000000000000000000000000000000-22-2200002-22-20000000000000000
χ5322222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22222-2222222-2-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i00000000000000000000
χ5422222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22222-2222222-2-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i00000000000000000000
χ5522222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222222-2-2-2-22-220000000000000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ5622222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222222-2-2-2-22-22000000000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ5722-2-22-2-22000022-2-222-2-22-22-20000002-2200002-2-200000022-2-200000000000022-2-22i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i002i−2i00000000
χ5822-2-22-2-22000022-2-222-2-22-22-20000002-2200002-2-200000022-2-200000000000022-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i00−2i2i00000000
χ5922-2-22-2-22000022-2-222-2-22-22-20000002-2200002-2-2000000-2-222000000000000-2-2222i−2i2i−2i2i−2i2i−2i000000000000000000−2i2i00−2i2i00000000
χ6022-2-22-2-22000022-2-222-2-22-22-20000002-2200002-2-2000000-2-222000000000000-2-222−2i2i−2i2i−2i2i−2i2i0000000000000000002i−2i002i−2i00000000
χ6122-2-22-2-22000022-2-2-2-2222-22-2000000-22-20000-22200000022-2-2000000000000-2-2222-22-2-22-220000000000000000002-200-2200000000
χ6222-2-22-2-22000022-2-2-2-2222-22-2000000-22-20000-22200000022-2-2000000000000-2-222-22-222-22-2000000000000000000-22002-200000000
χ6322-2-22-2-22000022-2-2-2-2222-22-2000000-22-20000-222000000-2-22200000000000022-2-22-22-2-22-22000000000000000000-22002-200000000
χ6422-2-22-2-22000022-2-2-2-2222-22-2000000-22-20000-222000000-2-22200000000000022-2-2-22-222-22-20000000000000000002-200-2200000000
χ6522-2-22-2-220000-2-22222-2-22-2-22000000-2220000-22-20022-2-200000000000022-2-200002i−2i−2i2i2i−2i−2i2i00000000000000002i−2i002i−2i0000000000
χ6622-2-22-2-220000-2-22222-2-22-2-22000000-2220000-22-20022-2-200000000000022-2-20000−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i00−2i2i0000000000
χ6722-2-22-2-220000-2-22222-2-22-2-22000000-2220000-22-200-2-222000000000000-2-22200002i−2i−2i2i2i−2i−2i2i0000000000000000−2i2i00−2i2i0000000000
χ6822-2-22-2-220000-2-22222-2-22-2-22000000-2220000-22-200-2-222000000000000-2-2220000−2i2i2i−2i−2i2i2i−2i00000000000000002i−2i002i−2i0000000000
χ6922-2-22-2-220000-2-222-2-2222-2-220000002-2-200002-220022-2-2000000000000-2-22200002-2-22-222-200000000000000002-200-220000000000
χ7022-2-22-2-220000-2-222-2-2222-2-220000002-2-200002-220022-2-2000000000000-2-2220000-222-22-2-220000000000000000-22002-20000000000
χ7122-2-22-2-220000-2-222-2-2222-2-220000002-2-200002-2200-2-22200000000000022-2-200002-2-22-222-20000000000000000-22002-20000000000
χ7222-2-22-2-220000-2-222-2-2222-2-220000002-2-200002-2200-2-22200000000000022-2-20000-222-22-2-2200000000000000002-200-220000000000
χ7344-4-44-4-44000044-4-444-4-4-44-440000004-4-40000-444000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-44-4-44000044-4-4-4-444-44-44000000-44400004-4-4000000000000000000000000000000000000000000000000000000000000000000
χ7544-4-44-4-440000-4-44444-4-4-444-4000000-44-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ7644-4-44-4-440000-4-444-4-444-444-40000004-440000-44-4000000000000000000000000000000000000000000000000000000000000000000
χ774-44-4-44-44000000004-44-40000004-400000004-4000002-22-22-22-2000000002-22-22-22-20000000000000000000000000000000000000000
χ784-44-4-44-44000000004-44-40000004-400000004-400000-22-22-22-2200000000-22-22-22-220000000000000000000000000000000000000000
χ794-44-4-44-44000000004-44-4000000-440000000-44000002-22-2-22-22000000002-22-2-22-220000000000000000000000000000000000000000
χ804-44-4-44-44000000004-44-4000000-440000000-4400000-22-222-22-200000000-22-222-22-20000000000000000000000000000000000000000
χ814-44-4-44-4400000000-44-440000004-40000000-44000002-22-22-22-200000000-22-22-22-220000000000000000000000000000000000000000
χ824-44-4-44-4400000000-44-440000004-40000000-4400000-22-22-22-22000000002-22-22-22-20000000000000000000000000000000000000000
χ834-44-4-44-4400000000-44-44000000-4400000004-4000002-22-2-22-2200000000-22-222-22-20000000000000000000000000000000000000000
χ844-44-4-44-4400000000-44-44000000-4400000004-400000-22-222-22-2000000002-22-2-22-220000000000000000000000000000000000000000
χ854-4-44-4-44444-4-400004-4-4400000000000004-400000002-2-222-2-22000000002-2-222-2-220000000000000000000000000000000000000000
χ864-4-44-4-44444-4-400004-4-4400000000000004-40000000-222-2-222-200000000-222-2-222-20000000000000000000000000000000000000000
χ874-4-44-4-44444-4-40000-444-40000000000000-4400000002-2-222-2-2200000000-222-2-222-20000000000000000000000000000000000000000
χ884-4-44-4-44444-4-40000-444-40000000000000-440000000-222-2-222-2000000002-2-222-2-220000000000000000000000000000000000000000
χ894-4-44-4-444-4-44400004-4-440000000000000-4400000002-2-22-222-2000000002-2-22-222-20000000000000000000000000000000000000000
χ904-4-44-4-444-4-44400004-4-440000000000000-440000000-222-22-2-2200000000-222-22-2-220000000000000000000000000000000000000000
χ914-4-44-4-444-4-4440000-444-400000000000004-400000002-2-22-222-200000000-222-22-2-220000000000000000000000000000000000000000
χ924-4-44-4-444-4-4440000-444-400000000000004-40000000-222-22-2-22000000002-2-22-222-20000000000000000000000000000000000000000
χ934-4-4-4444-44-44-44-44-4000000004-400000000000000000000000000004-44-4000000000000000000000000000000000000000000000000
χ944-4-4-4444-44-44-44-44-4000000004-40000000000000000000000000000-44-44000000000000000000000000000000000000000000000000
χ954-4-4-4444-44-44-4-44-4400000000-440000000000000000000000004-44-40000000000000000000000000000000000000000000000000000
χ964-4-4-4444-44-44-4-44-4400000000-44000000000000000000000000-44-440000000000000000000000000000000000000000000000000000
χ974-4-4-4444-4-44-444-44-400000000-4400000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ984-4-4-4444-4-44-444-44-400000000-440000000000000000000000000000-444-4000000000000000000000000000000000000000000000000
χ994-4-4-4444-4-44-44-44-44000000004-40000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-44-44-44-44000000004-4000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ101888-8-8-88-88-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ102888-8-8-88-8-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-88-88-8-8000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-88-88-8-800000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8888-8-8-800008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8888-8-8-80000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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