Finite Group Databasebeta

← Group #12109860

Character table — Group #12109860

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222222244444444444488888888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222222244445510101010101010101010101010104444202020202020202044444444888820202020202020204040404040404040404040404040404022224444202020202020202020202020202020204444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ141111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ161111111111111111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ171-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111i−ii−ii−ii−i1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−ii−ii−i1-11-1
χ181-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111i−ii−ii−ii−i1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii−ii−ii-11-11
χ191-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111i−ii−i−ii−ii-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii1-11-1i−ii−i−ii−ii-11-11
χ201-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111i−ii−i−ii−ii-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-11-11−ii−iii−ii−i1-11-1
χ211-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111−ii−iii−ii−i-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i1-11-1−ii−iii−ii−i-11-11
χ221-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111−ii−iii−ii−i-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-11-11i−ii−i−ii−ii1-11-1
χ231-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111−ii−ii−ii−ii1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii−ii−ii1-11-1
χ241-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111−ii−ii−ii−ii1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii-11-11i−ii−ii−ii−i-11-11
χ251-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111i−i−iii−i−ii1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-11i−i−iii−i−ii1-1-11
χ261-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111i−i−iii−i−ii1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i−iii−i-111-1
χ271-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111i−i−ii−iii−i-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1-1-11i−i−ii−iii−i-111-1
χ281-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111i−i−ii−iii−i-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-111-1−iii−ii−i−ii1-1-11
χ291-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111−iii−ii−i−ii-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1-1-11−iii−ii−i−ii-111-1
χ301-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111−iii−ii−i−ii-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-111-1i−i−ii−iii−i1-1-11
χ311-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111−iii−i−iii−i1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-11−iii−i−iii−i1-1-11
χ321-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111−iii−i−iii−i1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−iii−i−ii-111-1
χ33222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52222222222222−1+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+52−1−52−1−5200000000−1+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+52−1−520000000000000000
χ34222222222222−1+52−1−52−1+52−1+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+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+520000000000000000
χ35222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+52−1−520000000000000000
χ36222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ37222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+520000000000000000
χ38222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ39222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ40222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-22222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−520000000000000000
χ41222222222222−1−52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1+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+520000000000000000
χ42222222222222−1−52−1+52−1−52−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+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+521−520000000000000000
χ43222222222222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+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+520000000000000000
χ44222222222222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ45222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+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+521−520000000000000000
χ46222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222-2-2221+521+521−521−521+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+5200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ47222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222-2-2-2-2221+521+521−521−521+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+52000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ48222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-22222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+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+520000000000000000
χ4922222222-2-2-2-222222222222222222-22-2-2-2-2-2-2-2-2-20000000000002-22-22-22-20000000000000000222222220000000000000000-2-2-2-2000000000000
χ5022222222-2-2-2-222222222222222222-22-2-2-2-2-2-2-2-2-20000000000002-22-22-22-20000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000
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χ1044-4-4-4444-4-444-4444444-4-44-4-44-4-4-4-40000-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4-4444-4-444-4−1+5−1−5−1+5−1+5−1−5−1−51−51−5−1+51+51+5−1−51−51+51−51+500001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-444-4−1+5−1−5−1+5−1+5−1−5−1−51−51−5−1+51+51+5−1−51−51+51−51+500001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-444-4−1−5−1+5−1−5−1−5−1+5−1+51+51+5−1−51−51−5−1+51+51−51+51−500001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-444-4−1−5−1+5−1−5−1−5−1+5−1+51+51+5−1−51−51−5−1+51+51−51+51−500001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000000
χ109888-8-88-8-80000−2+25−2−25−2+252−25−2−252+25−2+252−252−25−2−252+252+25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ110888-8-88-8-80000−2−25−2+25−2−252+25−2+252−25−2−252+252+25−2+252−252−25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-88-8-88-80000−2+25−2−252−25−2+252+25−2−252−25−2+252−252+25−2−252+25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-88-80000−2−25−2+252+25−2−252−25−2+252+25−2−252+252−25−2+252−25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-8-8880000−2+25−2−252−25−2+252+25−2−25−2+252−252−25−2−252+252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-8-8880000−2−25−2+252+25−2−252−25−2+25−2−252+252+25−2+252−252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-88-880000−2+25−2−25−2+252−25−2−252+252−25−2+252−252+25−2−252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-88-880000−2−25−2+25−2−252+25−2+252−252+25−2−252+252−25−2+252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.