Finite Group Databasebeta

← Group #12015380

Character table — Group #12015380

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222222222444444444444444444444488888888888888888888888888881010101016161616161616161616161616161616161620202020202040404040404040408080
order122222444455888810101010101088101010102020202020202020404040404040404044441616161640404040808080808080808080808080808080804444882020202020202020404040404040404044888844441616161688
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ91111-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i1-111-1-111-1-1ii−i−ii−i
χ101111-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111i−i1111-1-1-1-1iiii−i−i−i−i-11-1-111-1-111−i−iii−ii
χ111111-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii1-111-1-111-1-1−i−iii−ii
χ121111-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111−ii1111-1-1-1-1−i−i−i−iiiii-11-1-111-1-111ii−i−ii−i
χ131111-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-1−ii-1-1-1-11111−i−i−i−iiiii1-111-1-1-1-111ii−i−i−ii
χ141111-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111−ii-1-1-1-11111−i−i−i−iiiii-11-1-11111-1-1−i−iiii−i
χ151111-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-1i−i-1-1-1-11111iiii−i−i−i−i1-111-1-1-1-111−i−iiii−i
χ161111-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111i−i-1-1-1-11111iiii−i−i−i−i-11-1-11111-1-1ii−i−i−ii
χ17222222222222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000222200000000000000000022-2-2-2-20000000000
χ18222222222222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000-2-2-2-2000000000000000000-2-222220000000000
χ192222222222−1+52−1−522222−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ202222222222−1+52−1−522222−1+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+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ212222222222−1+52−1−522222−1+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+52−1−52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ222222222222−1+52−1−522222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1−52−1+522222−1−52−1+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+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+52000022−1−52−1−52−1+52−1+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
χ242222222222−1−52−1+522222−1−52−1+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+522222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ252222222222−1−52−1+522222−1−52−1+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+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ262222222222−1−52−1+522222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ27222222-2-2-2-2220000222222002222-2-2-2-2-2-2-2-2000000000000i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22222000000000000000000-2-200000000i2−i2i2−i200
χ28222222-2-2-2-2220000222222002222-2-2-2-2-2-2-2-2000000000000i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-2-2-2-20000000000000000002200000000−i2i2−i2i200
χ29222222-2-2-2-2220000222222002222-2-2-2-2-2-2-2-2000000000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22222000000000000000000-2-200000000−i2i2−i2i200
χ30222222-2-2-2-2220000222222002222-2-2-2-2-2-2-2-2000000000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-2-2-2-20000000000000000002200000000i2−i2i2−i200
χ312222-2-22-2-2222000022222200-2-2-2-2-2-222-2-2220000000000002−2−22000022−2−222−2−2−2−222−2−22222-2-2000000000000000000-22000000002−2−2200
χ322222-2-22-2-2222000022222200-2-2-2-2-2-222-2-2220000000000002−2−22000022−2−222−2−2−2−222−2−222-2-2220000000000000000002-200000000−222−200
χ332222-2-22-2-2222000022222200-2-2-2-2-2-222-2-222000000000000−222−20000−2−222−2−22222−2−222−2−222-2-2000000000000000000-2200000000−222−200
χ342222-2-22-2-2222000022222200-2-2-2-2-2-222-2-222000000000000−222−20000−2−222−2−22222−2−222−2−2-2-2220000000000000000002-2000000002−2−2200
χ352222-2-2-222-2222222222222-2-2-2-2-2-222-2-222-2-22222222200000000-2-2-2-2000000000000000022-2-20000000000000000002-2-2-2220000000000
χ362222-2-2-222-2222222222222-2-2-2-2-2-222-2-222-2-22222222200000000-2-2-2-20000000000000000-2-222000000000000000000-2222-2-20000000000
χ372222-2-2-222-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+5222-2-22i2i−2i−2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ1400002i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ382222-2-2-222-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+5222-2-2−2i−2i2i2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ140000−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ392222-2-2-222-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52-2-2222i2i−2i−2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ140000−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ402222-2-2-222-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52-2-222−2i−2i2i2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ1400002i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ412222-2-2-222-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−5222-2-22i2i−2i−2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ3800002i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ422222-2-2-222-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−5222-2-2−2i−2i2i2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ380000−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ432222-2-2-222-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−52-2-2222i2i−2i−2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ380000−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ442222-2-2-222-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−52-2-222−2i−2i2i2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ3800002i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ452-2-222-222-2-22222-2-2-2-222-2-22-22-22-2-2-22222-2-22222-2-2-2-2000000002-22-2000000000000000000000000000000000000000000002-22-2000000
χ462-2-222-222-2-22222-2-2-2-222-2-22-22-22-2-2-22222-2-22222-2-2-2-2000000002-22-200000000000000000000000000000000000000000000-22-22000000
χ472-2-222-222-2-222-2-222-2-222-2-2-222-22-2-2-22222-2-2-2-2-2-222222i−2i2i−2i0000-22-2200000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.