Finite Group Databasebeta

← Group #12065607

Character table — Group #12065607

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size11112222222222222222444444444444444444444444444888888888888888888888888888888101010101616161616161616161616161616161620202020202020202020202020204040404040404040
order1222224444445510101010101044444441010101020202020202020202020202020202020448888888820202020202020202020202020202020202020202222404040404040404040404040404040402244448888888844448888
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
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ511111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ711111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i
χ1011111111-1-1-1-1111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111−i−iii−i−iii-1-111−ii−ii
χ1111111111-1-1-1-1111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1−i−iii−i−iii11-1-1−ii−ii
χ1211111111-1-1-1-1111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111ii−i−iii−i−i-1-111i−ii−i
χ1311111111-1-1-1-1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1ii−i−i−i−iii-1-111i−i−ii
χ1411111111-1-1-1-1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111−i−iiiii−i−i11-1-1−iii−i
χ1511111111-1-1-1-1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1−i−iiiii−i−i-1-111−iii−i
χ1611111111-1-1-1-1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111ii−i−i−i−iii11-1-1i−i−ii
χ17111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-111-1-1111111111-11-1-1-1-1-1
χ18111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-11-1-111-1-1-1-1-1-1-1-1-11-111111
χ19111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-111-1-1-1-1-1-1-1-1-1-11-11-11111
χ20111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-11-1-11111111111-11-11-1-1-1-1
χ21111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-11-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111-111-1-11111-1-1-1-1-11-11-1-111
χ22111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-11-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-11-1-111-1-1-1-111111-11-111-1-1
χ23111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-11-111-1-1-1-1-1-11111-11-1111-1-1
χ24111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-11-1-1111111-1-1-1-11-11-1-1-111
χ25111111-1-1-1-1-1-111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−i−iii−i−ii11111111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1-1-111ii−i−iii−i−i1-1-11−ii−ii
χ26111111-1-1-1-1-1-111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−i−iii−i−ii11111111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii-1111-1-1−i−iii−i−iii-111-1i−ii−i
χ27111111-1-1-1-1-1-111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−iii−i−iii−i11111111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1-1-111−i−iii−i−iii1-1-11i−ii−i
χ28111111-1-1-1-1-1-111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−iii−i−iii−i11111111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i-1111-1-1ii−i−iii−i−i-111-1−ii−ii
χ29111111-1-1-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii−iii−i1111-1-1-1-111111111-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ30111111-1-1-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii−iii−i1111-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-1111-1-1−i−iiiii−i−i1-1-11i−i−ii
χ31111111-1-1-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−ii−i−ii1111-1-1-1-111111111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ32111111-1-1-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−ii−i−ii1111-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-1111-1-1ii−i−i−i−iii1-1-11−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+52−1−52−1−52−1−52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5200001−521+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+52−1−52−1−52−1−52−1−52-2-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+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+52-2-22222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+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+52−1−52−1−522-2-222-2-2−1+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+52-222i2i−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+520000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−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+52−1−52−1−522-2-222-2-2−1+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+52-22−2i−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+520000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+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+52−1−52−1−522-2-2-2-222−1+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+522-22i2i−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+52−1−52−1−520000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+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+52−1−52−1−522-2-2-2-222−1+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+522-2−2i−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+52−1−52−1−520000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−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+522-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222i2i−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+521−521−520000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−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+522-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22−2i−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+521−521−520000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000000000000000
χ4722222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22i2i−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+520000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+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.