Finite Group Databasebeta

← Group #13023051

Character table — Group #13023051

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222444444444444444444444444444444444444444444444444444444444444444444444444101010101010101020202020202020202020202040404040404040404040404040404040
order12224444224488888888510101010101010161616161616161620202020202020204040404040404040404040404040404080808080808080808080808080808080808080808080808080808080808080804444888844881616161616161616888888881616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ10111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ11111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111-1-111−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1
χ12111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-11111-1-111−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111
χ13111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ14111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1-1-111-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ15111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-11111-1-111iiii−i−i−i−iii−i−i−i−iii11-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-11111-1-111iiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1
χ1711111111-1-1-1-11111-1-1-1-1111-1-1-1-11ii−i−iii−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111ii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i
χ1811111111-1-1-1-11111-1-1-1-1111-1-1-1-11ii−i−iii−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111ii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii
χ1911111111-1-1-1-11111-1-1-1-1111-1-1-1-11ii−i−iii−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-1−i−iii−i−iiii−ii−i−ii−ii-11-111-11-1
χ2011111111-1-1-1-11111-1-1-1-1111-1-1-1-11ii−i−iii−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-1−i−iii−i−iii−ii−iii−ii−i1-11-1-11-11
χ2111111111-1-1-1-11111-1-1-1-1111-1-1-1-11−i−iii−i−iii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii
χ2211111111-1-1-1-11111-1-1-1-1111-1-1-1-11−i−iii−i−iii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i
χ2311111111-1-1-1-11111-1-1-1-1111-1-1-1-11−i−iii−i−iii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-1ii−i−iii−i−ii−ii−i−ii−ii1-11-1-11-11
χ2411111111-1-1-1-11111-1-1-1-1111-1-1-1-11−i−iii−i−iii11-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-1ii−i−iii−i−i−ii−iii−ii−i-11-111-11-1
χ2511111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-111-1-11
χ2611111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-111-1-111-1-111-1-111-1
χ2711111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ2811111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ2911111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-111-1-11-111-1-111-1
χ3011111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-111-1-111-11-1-111-1-11
χ3111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ332222-2-2-2-222-2-22i2i−2i−2i2i−2i2i−2i2222222200000000-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000022-2-22i2i−2i−2i2-22i−2i000000000000000000000000
χ342222-2-2-2-222-2-22i2i−2i−2i2i−2i2i−2i2222222200000000-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000-2-222−2i−2i2i2i-22−2i2i000000000000000000000000
χ352222-2-2-2-222-2-2−2i−2i2i2i−2i2i−2i2i2222222200000000-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000022-2-2−2i−2i2i2i2-2−2i2i000000000000000000000000
χ362222-2-2-2-222-2-2−2i−2i2i2i−2i2i−2i2i2222222200000000-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000-2-2222i2i−2i−2i-222i−2i000000000000000000000000
χ372222-2-2-2-2-2-2222i2i−2i−2i−2i2i−2i2i222-2-2-2-2200000000-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000022-2-2−2i−2i2i2i-222i−2i000000000000000000000000
χ382222-2-2-2-2-2-2222i2i−2i−2i−2i2i−2i2i222-2-2-2-2200000000-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000-2-2222i2i−2i−2i2-2−2i2i000000000000000000000000
χ392222-2-2-2-2-2-222−2i−2i2i2i2i−2i2i−2i222-2-2-2-2200000000-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000022-2-22i2i−2i−2i-22−2i2i000000000000000000000000
χ402222-2-2-2-2-2-222−2i−2i2i2i2i−2i2i−2i222-2-2-2-2200000000-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000-2-222−2i−2i2i2i2-22i−2i000000000000000000000000
χ4122-2-222-2-20000000022-2-22-2-200002002-22-200-2-200002200000000-2-2-2-22222000000002222-2-2-2-22222-2-2-2-2000000002i−2i2i−2i2i−2i2i−2i0000002i−2i2i−2i000000000000000000
χ4222-2-222-2-20000000022-2-22-2-200002002-22-200-2-200002200000000-2-2-2-22222000000002222-2-2-2-22222-2-2-2-200000000−2i2i−2i2i−2i2i−2i2i000000−2i2i−2i2i000000000000000000
χ4322-2-222-2-20000000022-2-22-2-20000200-22-2200-2-200002200000000-2-2-2-2222200000000-2-2-2-22222-2-2-2-22222000000002i−2i2i−2i2i−2i2i−2i000000−2i2i−2i2i000000000000000000
χ4422-2-222-2-20000000022-2-22-2-20000200-22-2200-2-200002200000000-2-2-2-2222200000000-2-2-2-22222-2-2-2-2222200000000−2i2i−2i2i−2i2i−2i2i0000002i−2i2i−2i000000000000000000
χ4522-2-222-2-200000000-2-2222-2-200002002i−2i−2i2i00-2-2000022000000002222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000002i−2i2i−2i−2i2i−2i2i000000-222-2000000000000000000
χ4622-2-222-2-200000000-2-2222-2-200002002i−2i−2i2i00-2-2000022000000002222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000−2i2i−2i2i2i−2i2i−2i0000002-2-22000000000000000000
χ4722-2-222-2-200000000-2-2222-2-20000200−2i2i2i−2i00-2-2000022000000002222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000002i−2i2i−2i−2i2i−2i2i0000002-2-22000000000000000000
χ4822-2-222-2-200000000-2-2222-2-20000200−2i2i2i−2i00-2-2000022000000002222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000−2i2i−2i2i2i−2i2i−2i000000-222-2000000000000000000
χ4922-2-2-2-222000000002i−2i−2i2i2-2-200002−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ740000−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ78220000-2-200000000−2i−2i2i2i2i2i−2i−2i−2ζ26−2ζ42−2ζ58−2ζ74−2ζ26−2ζ42−2ζ58−2ζ74−2ζ26−2ζ42−2ζ58−2ζ74−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ742ζ26+2ζ42+2ζ58+2ζ742ζ26+2ζ42+2ζ58+2ζ742ζ26+2ζ42+2ζ58+2ζ740000000000000000−2ζ14−2ζ46−2ζ62−2ζ78−2ζ14−2ζ46−2ζ62−2ζ78−2ζ14−2ζ46−2ζ62−2ζ78−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ782ζ14+2ζ46+2ζ62+2ζ782ζ14+2ζ46+2ζ62+2ζ782ζ14+2ζ46+2ζ62+2ζ782i−2i−2i2i-222-20000−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ780000−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ740000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.