Finite Group Databasebeta

← Group #12015458

Character table — Group #12015458

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size112222222222222222244444444444444444444444444444448888888888888888888816161616161616161616161616161616161616162020202020202020202020202020202080808080
order12222444455881010202020208881010101010101616161616161616202020202020404040404040404040404040808080808080808080808080808080804488202020202020202040404040404040402244888816161616161616164488
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111
χ9111-1-11-11-111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-11111-1-1-1-1i−ii−i
χ10111-1-11-11-111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-1-1-11111−ii−ii
χ11111-1-11-11-111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-11111-1-1-1-1−ii−ii
χ12111-1-11-11-111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-1-1-11111i−ii−i
χ13111-1-11-11-111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii1-11-111-1-1-1-1-1-11111−iii−i
χ14111-1-11-11-111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii-11-11-1-1111111-1-1-1-1i−i−ii
χ15111-1-11-11-111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-1-1-1-1-11111i−i−ii
χ16111-1-11-11-111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-1111111-1-1-1-1−iii−i
χ1722222222222-2-2222222-2-2-222222200000000222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002222-2-2-2-2000000000000
χ1822222222222-2-2222222-2-2-222222200000000222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-22222000000000000
χ19222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+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+52−1−52−1+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+52−1−52−1−521−521−521−521−521+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+52−1−52−1+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+52−1−52−1−521−521−521−521−521+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+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+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+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+52-2-2-2-21+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+52−1−52−1+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+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+52−1−52−1+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+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
χ2722222-2-2-2-2220022-2-2-2-2000222222i2i2−i2−i2i2i2−i2−i2-2-2-2-2-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000002i−2i2i−2i22−2−222−2−20000
χ2822222-2-2-2-2220022-2-2-2-2000222222i2i2−i2−i2i2i2−i2−i2-2-2-2-2-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−2i2i−2i2i−2−222−2−2220000
χ2922222-2-2-2-2220022-2-2-2-2000222222−i2−i2i2i2−i2−i2i2i2-2-2-2-2-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000002i−2i2i−2i−2−222−2−2220000
χ3022222-2-2-2-2220022-2-2-2-2000222222−i2−i2i2i2−i2−i2i2i2-2-2-2-2-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−2i2i−2i2i22−2−222−2−20000
χ31222-2-22-22-222-2-2222222-22222-2-2-2-200000000-2-222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000002-22-2-2-222000000000000
χ32222-2-22-22-222-2-2222222-22222-2-2-2-200000000-2-222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000-22-2222-2-2000000000000
χ33222-2-22-22-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1−521−521+521−521+522222-2-2-2-21−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+522i−2i2i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000000000
χ34222-2-22-22-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1−521−521+521−521+522222-2-2-2-21−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52−2i2i−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000000000
χ35222-2-22-22-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1−521−521+521−521+52-2-2-2-222221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522i−2i−2i2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000000000
χ36222-2-22-22-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1−521−521+521−521+52-2-2-2-222221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−2i2i2i−2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000000000
χ37222-2-22-22-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1+521+521−521+521−522222-2-2-2-21+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522i−2i2i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000000000
χ38222-2-22-22-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1+521+521−521+521−522222-2-2-2-21+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−2i2i−2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000000000
χ39222-2-22-22-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1+521+521−521+521−52-2-2-2-222221+521−52−1−52−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522i−2i−2i2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000000000
χ40222-2-22-22-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1+521+521−521+521−52-2-2-2-222221+521−52−1−52−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−2i2i2i−2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000000000
χ41222-2-2-22-22220022-2-2-2-200022-2-2-2-2i2i2−i2−i2−i2−i2i2i222-2-222000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000002i−2i−2i2i22−2−2−2−2220000
χ42222-2-2-22-22220022-2-2-2-200022-2-2-2-2i2i2−i2−i2−i2−i2i2i222-2-222000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−2i2i2i−2i−2−22222−2−20000
χ43222-2-2-22-22220022-2-2-2-200022-2-2-2-2−i2−i2i2i2i2i2−i2−i222-2-222000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000002i−2i−2i2i−2−22222−2−20000
χ44222-2-2-22-22220022-2-2-2-200022-2-2-2-2−i2−i2i2i2i2i2−i2−i222-2-222000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−2i2i2i−2i22−2−2−2−2220000
χ4522-22-22-2-222200222222000-2-2-2-222i2−i2i2−i2i2−i2i2−i222-2-2-2-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000002-2-220000i2−i2i2−i2i2−i2i2−i20000
χ4622-22-22-2-222200222222000-2-2-2-222i2−i2i2−i2i2−i2i2−i222-2-2-2-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000-222-20000−i2i2−i2i2−i2i2−i2i20000
χ4722-22-22-2-222200222222000-2-2-2-222−i2i2−i2i2−i2i2−i2i222-2-2-2-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000002-2-220000−i2i2−i2i2−i2i2−i2i20000
χ4822-22-22-2-222200222222000-2-2-2-222−i2i2−i2i2−i2i2−i2i222-2-2-2-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000-222-20000i2−i2i2−i2i2−i2i2−i20000
χ4922-22-2-222-2222222-2-2-2-2-22-2-2-2-2-2222-2-222-2-22-2-22222-2-2-2-222222-22-22-2-222-2-222-2-222-2-220000000000000000000000000000000000000000
χ5022-22-2-222-2222222-2-2-2-2-22-2-2-2-2-222-222-2-222-2-2-22222-2-2-2-222222-22-2-222-2-222-2-222-2-222-20000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.