Finite Group Databasebeta

← Group #12016459

Character table — Group #12016459

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222222222444444444444444444444488888888888888888888888888881010101016161616161616161616161616161616161620202020202040404040404040408080
order124422244455888810102020202088101010101010202020202020404040404040404044441616161640404040808080808080808080808080808080804444241010101020202020202020202020202044888822441616161688
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911-1-11-1-111-111-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-1ii−i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−ii−iii−i−i1-11-111-1-1i−i
χ1011-1-11-1-111-111-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-1ii−i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii1-11111-1-1-1-1iiii−i−i−i−i−ii−i−iii-11-11-1-111−ii
χ1111-1-11-1-111-111-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-1ii−i−i−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-11-1-1-1-11111iiii−i−i−i−ii−iii−i−i1-11-1-1-111−ii
χ1211-1-11-1-111-111-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-1ii−i−i−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii-11-1-1-1-11111iiii−i−i−i−i−ii−i−iii-11-1111-1-1i−i
χ1311-1-11-1-111-111-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-1−i−iiiii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i-11-1-1-1-11111−i−i−i−iiiiii−iii−i−i-11-1111-1-1−ii
χ1411-1-11-1-111-111-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-1−i−iiiii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-11-1-1-1-11111−i−i−i−iiiii−ii−i−iii1-11-1-1-111i−i
χ1511-1-11-1-111-111-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-1−i−iii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i1-11111-1-1-1-1−i−i−i−iiiiii−iii−i−i-11-11-1-111i−i
χ1611-1-11-1-111-111-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-1−i−iii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii1-11111-1-1-1-1−i−i−i−iiiii−ii−i−iii1-11-111-1-1−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+520000-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
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+52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+521−521−521−521−520000-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521−521−521−52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ272222-22-2-22-2222222222222-2-2-2-222-2-2-2-2-2-2222222222200000000-2-2-2-2000000000000000000000000000000000000000000002-2-22000000
χ282222-22-2-22-2222222222222-2-2-2-222-2-2-2-2-2-2222222222200000000-2-2-2-200000000000000000000000000000000000000000000-222-2000000
χ292222-22-2-22-222-2-2-2-222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-22i−2i2i−2i000022220000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ302222-22-2-22-222-2-2-2-222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-2−2i2i−2i2i00002222000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ312222-22-2-22-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52221−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+522i−2i2i−2i0000−1+52−1−52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000
χ322222-22-2-22-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52221−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+522i−2i2i−2i0000−1+52−1−52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000
χ332222-22-2-22-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52221−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−2i2i−2i2i0000−1+52−1−52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000
χ342222-22-2-22-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52221−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−2i2i−2i2i0000−1+52−1−52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000
χ352222-22-2-22-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52221+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−522i−2i2i−2i0000−1−52−1+52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000
χ362222-22-2-22-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52221+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−522i−2i2i−2i0000−1−52−1+52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000
χ372222-22-2-22-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52221+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−2i2i−2i2i0000−1−52−1+52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000
χ382222-22-2-22-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52221+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−2i2i−2i2i0000−1−52−1+52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000
χ392222-2-222-2-222000022222200-2-2-2-22222-2-2-2-20000000000002−22−200002−22−22−22−22−22−22−22−22222000000000000000000-2-2000000002−22−200
χ402222-2-222-2-222000022222200-2-2-2-22222-2-2-2-20000000000002−22−200002−22−22−22−22−22−22−22−2-2-2-2-20000000000000000002200000000−22−2200
χ412222-2-222-2-222000022222200-2-2-2-22222-2-2-2-2000000000000−22−220000−22−22−22−22−22−22−22−222222000000000000000000-2-200000000−22−2200
χ422222-2-222-2-222000022222200-2-2-2-22222-2-2-2-2000000000000−22−220000−22−22−22−22−22−22−22−22-2-2-2-200000000000000000022000000002−22−200
χ4322-2-22-2-222-22222-2-222-2-2-2-2-2222-2-2-2-222-2-222-2-2-2-2222200000000-2-22200000000000000002i2i−2i−2i0000000000000000002i−2i−2i−2i2i2i0000000000
χ4422-2-22-2-222-22222-2-222-2-2-2-2-2222-2-2-2-222-2-222-2-2-2-2222200000000-2-2220000000000000000−2i−2i2i2i000000000000000000−2i2i2i2i−2i−2i0000000000
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χ1048-88i−8i000000−2+25−2−25−4i24i2−42422−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000000000000000000000
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χ1068-88i−8i000000−2−25−2+25−4i24i2−42422+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3800000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000000000
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χ1098-8−8i8i000000−2−25−2+254i2−4i2−42422+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37000000000000000000000000000000000000000000000000000000000000000000
χ1108-8−8i8i000000−2−25−2+25−4i24i242−422+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.