Finite Group Databasebeta

← Group #12067565

Character table — Group #12067565

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222444444444444444444444444444488888888888888888888888888888810101010161616161616161616161616161616162020202020202020202040404040404040404040
order1222444444551010101010102444888810101010202020202020202020202020202020202444888888202020204040404040404040404040404040404044441010202020202020404040404040404022444488882444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ71111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-111-1ii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i1-11-1-1-1ii−i−i11-1-1ii−i−ii−i
χ10111111-1-1-1-111111111-111-1ii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-1iiii−i−i−i−i-11-1111−i−iii-1-111−i−iii−ii
χ11111111-1-1-1-111111111-111-1ii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111i−i−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111−i−i−i−iiiii1-11-1-1-1−i−iii-1-111ii−i−i−ii
χ12111111-1-1-1-111111111-111-1ii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111i−i−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii-11-1111ii−i−i11-1-1−i−iiii−i
χ13111111-1-1-1-111111111-111-1−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−i−i−iiiii1-11-1-1-1−i−iii11-1-1−i−iii−ii
χ14111111-1-1-1-111111111-111-1−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-1−i−i−i−iiiii-11-1111ii−i−i-1-111ii−i−ii−i
χ15111111-1-1-1-111111111-111-1−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−iiii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111iiii−i−i−i−i1-11-1-1-1ii−i−i-1-111−i−iiii−i
χ16111111-1-1-1-111111111-111-1−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−iiii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i-11-1111−i−iii11-1-1ii−i−i−ii
χ171111-1-1111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-1-111-1-1-1-1-11-11-11-11-111
χ181111-1-1111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-111-1-111111-11-11-11-11-1-1
χ191111-1-1111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-11-1111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-1-111-11111-11-111-11-1-1-1
χ201111-1-1111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-11-1111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-111-1-11-1-1-1-11-11-1-11-1111
χ211111-1-1111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-11-1111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111-1-111-111111-11-1-11-11-1-1
χ221111-1-1111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-111-1-11-1-1-1-1-11-111-11-111
χ231111-1-1111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111-11-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-11-1-111-1-1-1-1-1-11-11-11-1111
χ241111-1-1111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111-11-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-111-1-1111111-11-11-11-1-1-1
χ251111-1-1-1-1-1-11111111111-11ii−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11−iii−i−ii1111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i−i−iii11-1-1-11−i−iii1-1-11i−i−iii−i
χ261111-1-1-1-1-1-11111111111-11ii−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11−iii−i−ii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111ii−i−i−i−iii-1-1111-1ii−i−i-111-1−iii−i−ii
χ271111-1-1-1-1-1-11111111111-11ii−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1−ii−iii−i1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1−i−iiiii−i−i11-1-1-11ii−i−i-111-1i−i−ii−ii
χ281111-1-1-1-1-1-11111111111-11ii−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1−ii−iii−i1111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiii−i−i-1-1111-1−i−iii1-1-11−iii−ii−i
χ291111-1-1-1-1-1-11111111111-11−i−iii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11i−i−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111−i−iiiii−i−i11-1-1-11ii−i−i1-1-11−iii−i−ii
χ301111-1-1-1-1-1-11111111111-11−i−iii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11i−i−iii−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111−i−iiiii−i−i-1-1111-1−i−iii-111-1i−i−iii−i
χ311111-1-1-1-1-1-11111111111-11−i−iii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1i−ii−i−ii1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1ii−i−i−i−iii11-1-1-11−i−iii-111-1−iii−ii−i
χ321111-1-1-1-1-1-11111111111-11−i−iii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1i−ii−i−ii1111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−iii-1-1111-1ii−i−i1-1-11i−i−ii−ii
χ332222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ342222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ352222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ362222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ372222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ382222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ392222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000000000
χ402222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ4122222222-2-2222222222-2-2-20000222222-2-222-2-222-2-222-2-20000000000-2-2-2-2000000000000000022220000000000000000-22-22-2-200000000000000
χ4222222222-2-2222222222-2-2-20000222222-2-222-2-222-2-222-2-20000000000-2-2-2-20000000000000000-2-2-2-200000000000000002-22-22200000000000000
χ43222222-2-22222222222-2-2-220000-2-2-2-222-2-222-2-2-2-222-2-2220000000000-2-222000000000000000022220000000000000000-2-2-2-22200000000000000
χ44222222-2-22222222222-2-2-220000-2-2-2-222-2-222-2-2-2-222-2-2220000000000-2-2220000000000000000-2-2-2-200000000000000002222-2-200000000000000
χ45222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-22i2i−2i−2i1−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-22i−2i2i2i−2i−2i−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000−1+52−1−52−1+52−1−521−521+521−521+52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ700000000000000000000
χ46222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-22i2i−2i−2i1−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2222i−2i−2i−2i2i2i−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ700001−521+521−521+52−1+52−1−52−1+52−1−52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000
χ47222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-2−2i−2i2i2i1−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2−2i2i−2i−2i2i2i−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000−1+52−1−52−1+52−1−521−521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000
χ48222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-2−2i−2i2i2i1−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-222−2i2i2i2i−2i−2i−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ700001−521+521−521+52−1+52−1−52−1+52−1−52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ700000000000000000000
χ49222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-222-22i2i−2i−2i1+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-2-22i−2i2i2i−2i−2i−1−52−1+521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000−1−52−1+52−1−52−1+521+521−521+521−52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ1900000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.