Finite Group Databasebeta

← Group #13025705

Character table — Group #13025705

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444444444448888888888888888888888888888101010101010101010101010202020202020202020202020202020202020404040404040404040404040
order122244442244888858810101020202020404040404040404010101616161620204040404080808080808080808080808080808080222244448888444444448888888888161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ5111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii1111iiii−i−i−i−i
χ9111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111ii−i−i11-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111ii−i−i11-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iii
χ11111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111ii−i−i11-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111iiii−i−i−i−i11−i−i−i−iiiii−i−iii-1-11111-1-1
χ12111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111ii−i−i11-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii11iiii−i−i−i−i−i−iii11-1-1-1-111
χ13111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111−i−iii11-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ14111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111−i−iii11-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i
χ15111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111−i−iii11-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i11−i−i−i−iiiiiii−i−i11-1-1-1-111
χ16111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111−i−iii11-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111−i−i−i−iiiii11iiii−i−i−i−iii−i−i-1-11111-1-1
χ1711111111-1-1-1-111111-1-1111111111111111-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1ii−i−iii−i−i11ii−i−iii−i−i1-11-1i−ii−ii−ii−i
χ1811111111-1-1-1-111111-1-1111111111111111-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1−i−iii−i−iii11−i−iii−i−iii1-11-1−ii−ii−ii−ii
χ1911111111-1-1-1-111111-1-1111111111111111-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-111-11-111-11-1-11-11
χ2011111111-1-1-1-111111-1-1111111111111111-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11-11-11-111-11-1
χ2111111111-1-1-1-111111-1-1111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1ii−i−iii−i−i11ii−i−iii−i−i-11-11−ii−ii−ii−ii
χ2211111111-1-1-1-111111-1-1111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1−i−iii−i−iii11−i−iii−i−iii-11-11i−ii−ii−ii−i
χ2311111111-1-1-1-111111-1-1111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1111-11-1-11-111-11-1
χ2411111111-1-1-1-111111-1-1111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-11111-1-1-1-1-1-11111-1-11-11-11-11-1-11-11
χ2511111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1i−i−ii-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-11111ii−i−iii−i−i-1-1−i−iii−i−iiii−i−ii-111-1-111-1
χ2611111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1i−i−ii-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-11111−i−iii−i−iii-1-1ii−i−iii−i−ii−i−ii1-1-111-1-11
χ2711111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1i−i−ii-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1−iii−ii−i−ii−iii−i
χ2811111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1i−i−ii-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111−iii−i−iii−ii−i−ii
χ2911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−iii−i-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-11111ii−i−iii−i−i-1-1−i−iii−i−iii−iii−i1-1-111-1-11
χ3011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−iii−i-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-11111−i−iii−i−iii-1-1ii−i−iii−i−i−iii−i-111-1-111-1
χ3111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−iii−i-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1i−i−ii−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−iii−i-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111i−i−iii−i−ii−iii−i
χ332222-2-2-2-222-2-22i2i−2i−2i22i−2i222-2-2-2-22i2i2i2i−2i−2i−2i−2i220000-2-22i2i−2i−2i00000000000000002222-2-2-2-22i2i−2i−2i000000002i−2i00000000000000000000
χ342222-2-2-2-222-2-22i2i−2i−2i22i−2i222-2-2-2-22i2i2i2i−2i−2i−2i−2i220000-2-22i2i−2i−2i0000000000000000-2-2-2-22222−2i−2i2i2i00000000−2i2i00000000000000000000
χ352222-2-2-2-222-2-2−2i−2i2i2i2−2i2i222-2-2-2-2−2i−2i−2i−2i2i2i2i2i220000-2-2−2i−2i2i2i00000000000000002222-2-2-2-2−2i−2i2i2i00000000−2i2i00000000000000000000
χ362222-2-2-2-222-2-2−2i−2i2i2i2−2i2i222-2-2-2-2−2i−2i−2i−2i2i2i2i2i220000-2-2−2i−2i2i2i0000000000000000-2-2-2-222222i2i−2i−2i000000002i−2i00000000000000000000
χ372222-2-2-2-2-2-2222i2i−2i−2i2−2i2i222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2000022−2i−2i2i2i000000000000000022-2-2-2-222−2i−2i2i2i000000002i−2i00000000000000000000
χ382222-2-2-2-2-2-2222i2i−2i−2i2−2i2i222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2000022−2i−2i2i2i0000000000000000-2-22222-2-22i2i−2i−2i00000000−2i2i00000000000000000000
χ392222-2-2-2-2-2-222−2i−2i2i2i22i−2i222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-20000222i2i−2i−2i000000000000000022-2-2-2-2222i2i−2i−2i00000000−2i2i00000000000000000000
χ402222-2-2-2-2-2-222−2i−2i2i2i22i−2i222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-20000222i2i−2i−2i0000000000000000-2-22222-2-2−2i−2i2i2i000000002i−2i00000000000000000000
χ412-2-2222-2-200002i−2i2i−2i200-2-2222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002-200-222i−2i2i−2i002i−2i2i−2i0000002-22-200000000000000
χ422-2-2222-2-200002i−2i2i−2i200-2-2222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002-200-222i−2i2i−2i00−2i2i−2i2i000000-22-2200000000000000
χ432-2-2222-2-200002i−2i2i−2i200-2-2222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-22002-2−2i2i−2i2i002-2-22000000−2i2i2i−2i00000000000000
χ442-2-2222-2-200002i−2i2i−2i200-2-2222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-22002-2−2i2i−2i2i00-222-20000002i−2i−2i2i00000000000000
χ452-2-2222-2-20000−2i2i−2i2i200-2-2222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000002-200-22−2i2i−2i2i002i−2i2i−2i000000-22-2200000000000000
χ462-2-2222-2-20000−2i2i−2i2i200-2-2222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000002-200-22−2i2i−2i2i00−2i2i−2i2i0000002-22-200000000000000
χ472-2-2222-2-20000−2i2i−2i2i200-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000-22002-22i−2i2i−2i002-2-220000002i−2i−2i2i00000000000000
χ482-2-2222-2-20000−2i2i−2i2i200-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000-22002-22i−2i2i−2i00-222-2000000−2i2i2i−2i00000000000000
χ492-2-22-2-22200002-2-22200-2-22-2-22222-2-2-2-2220000000000000000000000000000002-2002-22-2-222i−2i00002i−2i002i−2i00002i−2i000000000000
χ502-2-22-2-22200002-2-22200-2-22-2-22222-2-2-2-2220000000000000000000000000000002-2002-22-2-22−2i2i0000−2i2i00−2i2i0000−2i2i000000000000
χ512-2-22-2-22200002-2-22200-2-22-2-22222-2-2-2-222000000000000000000000000000000-2200-22-222-22-20000-22002-20000-22000000000000
χ522-2-22-2-22200002-2-22200-2-22-2-22222-2-2-2-222000000000000000000000000000000-2200-22-222-2-2200002-200-2200002-2000000000000
χ532-2-22-2-2220000-222-2200-2-22-2-222-2-22222-2-20000000000000000000000000000002-2002-2-222-22i−2i00002i−2i00−2i2i0000−2i2i000000000000
χ542-2-22-2-2220000-222-2200-2-22-2-222-2-22222-2-20000000000000000000000000000002-2002-2-222-2−2i2i0000−2i2i002i−2i00002i−2i000000000000
χ552-2-22-2-2220000-222-2200-2-22-2-222-2-22222-2-2000000000000000000000000000000-2200-222-2-222-20000-2200-2200002-2000000000000
χ562-2-22-2-2220000-222-2200-2-22-2-222-2-22222-2-2000000000000000000000000000000-2200-222-2-22-2200002-2002-20000-22000000000000
χ574444444444444444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ584444444444444444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-11111111111111111000000000000000000000000000000000000000000
χ59444444444444-4-4-4-4-1-4-4-1-1-1-1-1-1-111111111-1-14i4i−4i−4i-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000000000000000000000
χ60444444444444-4-4-4-4-1-4-4-1-1-1-1-1-1-111111111-1-1−4i−4i4i4i-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ6144444444-4-4-4-44444-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1114-44-4111111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000000000
χ6244444444-4-4-4-44444-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-44-441111111111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ6344444444-4-4-4-4-4-4-4-4-144-1-1-1-1-1-1-111111111114i−4i−4i4i11-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000000000000000000000
χ6444444444-4-4-4-4-4-4-4-4-144-1-1-1-1-1-1-11111111111−4i4i4i−4i11-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000000000000000000000
χ654444-4-4-4-444-4-44i4i−4i−4i-14i−4i-1-1-11111−i−i−i−iiiii-1-1000011−i−iiiζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74ζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78000000000000000000000000000000000000000000
χ664444-4-4-4-444-4-44i4i−4i−4i-14i−4i-1-1-11111−i−i−i−iiiii-1-1000011−i−iii−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74ζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74ζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78000000000000000000000000000000000000000000
χ674444-4-4-4-444-4-4−4i−4i4i4i-1−4i4i-1-1-11111iiii−i−i−i−i-1-1000011ii−i−i−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78ζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74ζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74000000000000000000000000000000000000000000
χ684444-4-4-4-444-4-4−4i−4i4i4i-1−4i4i-1-1-11111iiii−i−i−i−i-1-1000011ii−i−iζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74ζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74ζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74000000000000000000000000000000000000000000
χ694444-4-4-4-4-4-4444i4i−4i−4i-1−4i4i-1-1-11111−i−i−i−iiiii110000-1-1ii−i−iζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74−ζ26+ζ42+ζ58−ζ74ζ26−ζ42−ζ58+ζ74ζ26−ζ42−ζ58+ζ74−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78ζ14+ζ46−ζ62−ζ78−ζ14−ζ46+ζ62+ζ78−ζ14−ζ46+ζ62+ζ78000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.