Finite Group Databasebeta

← Group #12016766

Character table — Group #12016766

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size112222222222222222244444444444444444444444444444448888888888888888888816161616161616161616161616161616161616162020202020202020202020202020202080808080
order12222444455881010101010108881010101016161616161616162020202020202020404040404040404040404040808080808080808080808080808080804488202020202020202040404040404040402244888816161616161616164488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-111-11-111-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i1-11-111-1-1iiii−i−i−i−i1-1i−i
χ1011-1-111-11-111-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i-11-11-1-111−i−i−i−iiiii-11−ii
χ1111-1-111-11-111-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii1-11-111-1-1iiii−i−i−i−i-11−ii
χ1211-1-111-11-111-1-1-1-1-1-11111-111-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii-11-11-1-111−i−i−i−iiiii1-1i−i
χ1311-1-111-11-111-1-1-1-1-1-11111-111-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii1-11-111-1-1−i−i−i−iiiii1-1−ii
χ1411-1-111-11-111-1-1-1-1-1-11111-111-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii-11-11-1-111iiii−i−i−i−i-11i−i
χ1511-1-111-11-111-1-1-1-1-1-11111-111-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i1-11-111-1-1−i−i−i−iiiii-11i−i
χ1611-1-111-11-111-1-1-1-1-1-11111-111-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i-11-11-1-111iiii−i−i−i−i1-1−ii
χ1722222222222-2-2222222-2-2-222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002222-2-2-2-2000000000000
χ1822222222222-2-2222222-2-2-222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-22222000000000000
χ19222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ20222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ21222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ22222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ24222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ25222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ26222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2722222-2-2-2-222002222220002222i2i2−i2−i2i2i2−i2−i2-2-2-2-2-2-2-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000002-2-220000i2i2−i2−i2i2i2−i2−i20000
χ2822222-2-2-2-222002222220002222i2i2−i2−i2i2i2−i2−i2-2-2-2-2-2-2-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000-222-20000−i2−i2i2i2−i2−i2i2i20000
χ2922222-2-2-2-222002222220002222−i2−i2i2i2−i2−i2i2i2-2-2-2-2-2-2-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000002-2-220000−i2−i2i2i2−i2−i2i2i20000
χ3022222-2-2-2-222002222220002222−i2−i2i2i2−i2−i2i2i2-2-2-2-2-2-2-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000-222-20000i2i2−i2−i2i2i2−i2−i20000
χ31222-2-222-2-22200222222000-2-2-2-22−22−22−22−222-2-2-2-2220000000000002−22−22−22−22−22−22−22−20000000000000000000000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i20000
χ32222-2-222-2-22200222222000-2-2-2-22−22−22−22−222-2-2-2-2220000000000002−22−22−22−22−22−22−22−2000000000000000000000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i20000
χ33222-2-222-2-22200222222000-2-2-2-2−22−22−22−2222-2-2-2-222000000000000−22−22−22−22−22−22−22−220000000000000000000000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i20000
χ34222-2-222-2-22200222222000-2-2-2-2−22−22−22−2222-2-2-2-222000000000000−22−22−22−22−22−22−22−22000000000000000000000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i20000
χ35222-2-2-2-22222222222222-2-2-2-2-2-200000000-2-22222-2-222222222-2-2-2-2000000000000000000000000000000000000000000002-2-222-2-220000
χ36222-2-2-2-22222222222222-2-2-2-2-2-200000000-2-22222-2-222222222-2-2-2-200000000000000000000000000000000000000000000-222-2-222-20000
χ37222-2-2-2-22222-2-2222222-222-2-2-2-22i−2i−2i2i2i−2i−2i2i-2-22222-2-2-2-2-2-2-2-2-2-222222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ38222-2-2-2-22222-2-2222222-222-2-2-2-2−2i2i2i−2i−2i2i2i−2i-2-22222-2-2-2-2-2-2-2-2-2-22222−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ39222-2-2-2-222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+521−521+522i−2i−2i2i2i−2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000
χ40222-2-2-2-222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+521−521+522i−2i−2i2i2i−2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000
χ41222-2-2-2-222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+521−521+52−2i2i2i−2i−2i2i2i−2i1−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000
χ42222-2-2-2-222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521+521−521+52−2i2i2i−2i−2i2i2i−2i1−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000
χ43222-2-2-2-222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521−521+521−522i−2i−2i2i2i−2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ380000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000000
χ44222-2-2-2-222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521−521+521−522i−2i−2i2i2i−2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ380000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000000
χ45222-2-2-2-222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521−521+521−52−2i2i2i−2i−2i2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ380000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000000
χ46222-2-2-2-222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521−521+521−52−2i2i2i−2i−2i2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ380000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000000
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χ1028-8000000088−42420000-8-8000000000000000000000000000−4242−4242000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.