Finite Group Databasebeta

← Group #12065613

Character table — Group #12065613

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size11112222222222222222444444444444444444444444444888888888888888888888888888888101010101616161616161616161616161616161620202020202020202020202020204040404040404040
order1222222244445510101010101024488881010101010101010202020202020202020202020224488888810102020404040404040404040404040404040404444101010102020202040404040404040402244444444888844888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111
χ511111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ711111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-111-1-1iiii−i−i−i−i-1-1-1-11111-1-1ii−i−i1-1ii−i−ii−i
χ1011111111-1-1-1-1111111111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-111−i−iii-11−i−iii−ii
χ1111111111-1-1-1-1111111111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−i−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-111−i−i−i−iiiii-1-1-1-11-1-1111−i−iii-11ii−i−i−ii
χ1211111111-1-1-1-1111111111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−i−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-111-1-111−i−i−i−iiiii1111-111-1-1-1ii−i−i1-1−i−iiii−i
χ1311111111-1-1-1-1111111111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-111-1-1−i−i−i−iiiii-1-1-1-11111-1-1−i−iii1-1−i−iii−ii
χ1411111111-1-1-1-1111111111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-111ii−i−i-11ii−i−ii−i
χ1511111111-1-1-1-1111111111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−iiii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111iiii−i−i−i−i-1-1-1-11-1-1111ii−i−i-11−i−iiii−i
χ1611111111-1-1-1-1111111111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−iiii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-111-1-111iiii−i−i−i−i1111-111-1-1-1−i−iii1-1ii−i−i−ii
χ17111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-11-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111111-1111111-1-11-11-1-1-1
χ18111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-11-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-11-1-1-1-1-1-111-11-1111
χ19111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-1-1-1-1-1-1-1-1111-11-111
χ20111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1111111111-1-1-11-11-1-1
χ21111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-111111-111-1-1-1-1-1-1-11-1111
χ22111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-11111111-11-1-1-1
χ23111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1111-1-1-1-1-1111111-11-11-1-1
χ24111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-111111-1-1-1-1-1-11-11-111
χ25111111-1-1-1-1-1-111111111-111ii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−iii−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-11111-1-1-1-1ii−i−i−i−iii11-1-1111-1-1-1ii−i−i-11i−i−ii−ii
χ26111111-1-1-1-1-1-111111111-111ii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−iii−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1111111-1-1-1-1ii−i−i−i−iii-1-111-1-1-1111−i−iii1-1−iii−ii−i
χ27111111-1-1-1-1-1-111111111-111ii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111−ii−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-11111−i−iiiii−i−i11-1-11-1-1-111−i−iii1-1i−i−iii−i
χ28111111-1-1-1-1-1-111111111-111ii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111−ii−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-11111−i−iiiii−i−i-1-111-1111-1-1ii−i−i-11−iii−i−ii
χ29111111-1-1-1-1-1-111111111-111−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1i−i−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-11111-1-1-1-1−i−iiiii−i−i11-1-1111-1-1-1−i−iii-11−iii−ii−i
χ30111111-1-1-1-1-1-111111111-111−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1i−i−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1111111-1-1-1-1−i−iiiii−i−i-1-111-1-1-1111ii−i−i1-1i−i−ii−ii
χ31111111-1-1-1-1-1-111111111-111−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111i−ii−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-11111ii−i−i−i−iii11-1-11-1-1-111ii−i−i1-1−iii−i−ii
χ32111111-1-1-1-1-1-111111111-111−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111i−ii−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-11111ii−i−i−i−iii-1-111-1111-1-1−i−iii-11i−i−iii−i
χ33222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222−1+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+52−1−520000000000000000000000
χ34222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222−1+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+520000000000000000000000
χ35222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-2−1+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+520000000000000000000000
χ36222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-2−1+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+52−1−520000000000000000000000
χ37222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1−52−1+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+520000000000000000000000
χ38222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1−52−1+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+521−520000000000000000000000
χ39222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2-2−1−52−1−52−1+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+521−520000000000000000000000
χ40222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2-2−1−52−1−52−1+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+520000000000000000000000
χ4122222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22i2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+522-22-22i−2i2i2i−2i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000−1+52−1−521−521+52−1+52−1−521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000000000
χ4222222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22i2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-22-222i−2i−2i−2i2i2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400001−521+52−1+52−1−521−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000000000
χ4322222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2−2i−2i2i2i−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+522-22-2−2i2i−2i−2i2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000−1+52−1−521−521+52−1+52−1−521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000000000
χ4422222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2−2i−2i2i2i−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-22-22−2i2i2i2i−2i−2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400001−521+52−1+52−1−521−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000000000
χ4522222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22i2i−2i−2i−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−522-22-22i−2i2i2i−2i−2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000−1−52−1+521+521−52−1−52−1+521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380000000000000000000000
χ4622222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22i2i−2i−2i−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-22-222i−2i−2i−2i2i2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800001+521−52−1−52−1+521+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.