Finite Group Databasebeta

← Group #11989234

Character table — Group #11989234

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222222244444444444444444444448888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222444444444455101010101010242020202020202020202020202020202020202020888888888888101020204040404040404040404040404040404022444444404040404040404040404040404040402444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-111-1-1ii−i−iii−i−i
χ101111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-1-11-1-111−i−iii−i−iii
χ111111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-111-1-1−i−iii−i−iii
χ121111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-1-11-1-111ii−i−iii−i−i
χ131111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1-1-111ii−i−i−i−iii
χ141111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1−i−iiiii−i−i
χ151111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-111−i−iiiii−i−i
χ161111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1ii−i−i−i−iii
χ17111111-1-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−i1-11-1i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11-11i−ii−i1-11-1i−ii−i
χ18111111-1-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−i1-11-1i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111111111-1-111-1-1ii−i−iii−i−i-1-11-1−ii−ii-11-11−ii−ii
χ19111111-1-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−i-11-11−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii11-11i−ii−i-11-11−ii−ii
χ20111111-1-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−i-11-11−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1111111-1-111-1-111−i−iii−i−iii-1-11-1−ii−ii1-11-1i−ii−i
χ21111111-1-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii1-11-1−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11-11−ii−ii1-11-1−ii−ii
χ22111111-1-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii1-11-1−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111111111-1-111-1-1−i−iii−i−iii-1-11-1i−ii−i-11-11i−ii−i
χ23111111-1-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii-11-11i−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i11-11−ii−ii-11-11i−ii−i
χ24111111-1-1-1-111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii-11-11i−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1111111-1-111-1-111ii−i−iii−i−i-1-11-1i−ii−i1-11-1−ii−ii
χ25111111-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i−iii−i−ii-111-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-11111ii−i−i−i−iii-1-11111-1-1-11-1-1i−i−iii−i−ii-111-1
χ26111111-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i−iii−i−ii-111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-1ii−i−i−i−iii-1-11111-1-11-111−iii−i−iii−i1-1-11
χ27111111-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i−ii−iii−i1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-11111−i−iiiii−i−i11-1-1-1-111-11-1-1i−i−ii−iii−i1-1-11
χ28111111-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i−ii−iii−i1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-1−i−iiiii−i−i11-1-1-1-1111-111−iii−ii−i−ii-111-1
χ29111111-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111−iii−ii−i−ii1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-11111ii−i−i−i−iii11-1-1-1-111-11-1-1−iii−ii−i−ii1-1-11
χ30111111-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111−iii−ii−i−ii1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-1ii−i−i−i−iii11-1-1-1-1111-111i−i−ii−iii−i-111-1
χ31111111-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111−iii−i−iii−i-111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-11111−i−iiiii−i−i-1-11111-1-1-11-1-1−iii−i−iii−i-111-1
χ32111111-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111−iii−i−iii−i-111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-1−i−iiiii−i−i-1-11111-1-11-111i−i−iii−i−ii1-1-11
χ3322222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+52−1−52−1−52222222222222−1+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+52−1−52−1−5200000000−1+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+52−1−520000000000000000
χ3422222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ3522222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+52−1−52−1−52-2-2-2-22222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000
χ3622222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3722222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+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+52222222222222−1−52−1+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+5200000000−1−52−1+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+520000000000000000
χ3822222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+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+52000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ3922222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ4022222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ412222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-22i2i−2i−2i2i2i−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+5200000000−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000000000
χ422222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2−2i−2i2i2i−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+5200000000ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000000000
χ432222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2222i2i−2i−2i−2i−2i2i2i1−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000000000
χ442222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-222−2i−2i2i2i2i2i−2i−2i1−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000000000
χ452222222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-22i2i−2i−2i2i2i−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+521−521−5200000000−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000000000
χ462222222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2−2i−2i2i2i−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+521−521−5200000000ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000000000
χ472222222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2222i2i−2i−2i−2i−2i2i2i1+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.