Finite Group Databasebeta

← Group #12252434

Character table — Group #12252434

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111222222222222224444444444444444444444444444444488888888888888888888888888881010101010101010161616161616161616161616161616162020202020202020202020204040404040404040
order12442455888810102020202024444488888810102020202020202020202040404040404040401010161616161616161620202020202040404040404040404040404022448888808080808080808080808080808080802444448888881616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1
χ9111111111111111111-1-111-1-1-1-111-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1
χ10111111111111111111-1-111-1-1-1-111-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-111
χ11111111111111111111-1-111-1-1-1-111-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111
χ12111111111111111111-1-111-1-1-1-111-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ15111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ1711111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111i−ii−ii−ii−i111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i111111-1-1-1-1-1-1i−ii−ii−ii−i
χ1811111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111i−ii−ii−ii−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1111111−ii−ii−ii−ii
χ1911111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111−ii−ii−ii−ii111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii111111-1-1-1-1-1-1−ii−ii−ii−ii
χ2011111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111−ii−ii−ii−ii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1111111i−ii−ii−ii−i
χ2111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111i−ii−i−ii−ii11-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii11-1-1-1-1-1-11111i−ii−i−ii−ii
χ2211111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111i−ii−i−ii−ii11-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-1-1111111-1-1-1-1−ii−iii−ii−i
χ2311111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−ii−iii−ii−i11-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i11-1-1-1-1-1-11111−ii−iii−ii−i
χ2411111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111−ii−iii−ii−i11-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-1-1111111-1-1-1-1i−ii−i−ii−ii
χ2511111111-1-1-1-1111111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1i−i−iii−i−ii-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-111-1-111i−i−iii−i−ii
χ2611111111-1-1-1-1111111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1i−i−iii−i−ii-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-111-1-111-1-1−iii−i−iii−i
χ2711111111-1-1-1-1111111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1−iii−i−iii−i-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111-1-111−iii−i−iii−i
χ2811111111-1-1-1-1111111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1−iii−i−iii−i-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-111-1-1i−i−iii−i−ii
χ2911111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1i−i−ii−iii−i-1-1111111111111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1111111-1-1i−i−ii−iii−i
χ3011111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1i−i−ii−iii−i-1-1111111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i1111-1-1-1-1-1-111−iii−ii−i−ii
χ3111111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1−iii−ii−i−ii-1-1111111111111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-1111111-1-1−iii−ii−i−ii
χ3211111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1−iii−ii−i−ii-1-1111111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii1111-1-1-1-1-1-111i−i−ii−iii−i
χ33222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ34222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ35222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ36222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ37222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+5222-2-222-2-21−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ38222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52-2-222-2-2221−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ39222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+5222-2-2-2-2221−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ40222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52-2-22222-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ41222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−522i−2i2i−2i2i−2i2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+5200000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000000000000000
χ42222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−2i2i−2i2i−2i2i−2i2i−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+5200000000ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000
χ43222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-22222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−522i−2i2i−2i−2i2i−2i2i−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000
χ44222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-22222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−2i2i−2i2i2i−2i2i−2i−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000000000000000
χ45222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-222−1+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+521−521+522i−2i−2i2i2i−2i−2i2i1−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000
χ46222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-222−1+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+521−521+52−2i2i2i−2i−2i2i2i−2i1−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.