Finite Group Databasebeta

← Group #12068485

Character table — Group #12068485

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222222244444444444488888888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222444444445510101010101020202020202020202444202020202020202088888888888810102020202020204040404040404040404040404040404022444444404040404040404040404040404040402444888888888888
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
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
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
χ91111111111111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11111-1-1-1-111-1-1
χ101111111111111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-11111-1-111
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1
χ131111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-1-1-111
χ141111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-11111-1-1
χ151111111111111111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1111111-1-1
χ161111111111111111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111
χ171111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111i−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−i11-1-1i−ii−ii−ii−i1-11-1
χ181111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111i−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-1-111−ii−ii−ii−ii-11-11
χ191111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111i−ii−i−ii−ii-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1−iii−ii−i−ii-11-11
χ201111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111i−ii−i−ii−ii-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111−i−iiiii−i−iii−i−i−i−iii-1-111i−i−ii−iii−i1-11-1
χ211111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−ii−iii−ii−i-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1i−i−ii−iii−i-11-11
χ221111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−ii−iii−ii−i-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i-1-111−iii−ii−i−ii1-11-1
χ231111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−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−iii11-1-1−ii−ii−ii−ii1-11-1
χ241111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−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-1-111i−ii−ii−ii−i-11-11
χ251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−iii−i−ii1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-11-11i−ii−i−ii−ii1-1-11
χ261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−iii−i−ii1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i1-11-1−ii−iii−ii−i-111-1
χ271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−ii−iii−i-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-11-11−iii−i−iii−i-111-1
χ281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−ii−iii−i-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii1-11-1i−i−iii−i−ii1-1-11
χ291111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−ii−i−ii-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-11-11i−i−iii−i−ii-111-1
χ301111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−ii−i−ii-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i1-11-1−iii−i−iii−i1-1-11
χ311111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−i−iii−i1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-11-11−ii−iii−ii−i1-1-11
χ321111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−i−iii−i1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii1-11-1i−ii−i−ii−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+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
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+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
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+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
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+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+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+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
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+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
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+521−521−52000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
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+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
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+521−521−52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
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+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
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+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ4922222222-2-2-2-222222222222222222-22-2-2-2-2-2-2-2-2-200000000000022-2-22-22-200000000000000002222-2-2-2-200000000000000002-2-22000000000000
χ5022222222-2-2-2-222222222222222222-22-2-2-2-2-2-2-2-2-200000000000022-2-22-22-20000000000000000-2-2-2-222220000000000000000-222-2000000000000
χ5122222222-2-2-2-22222222222222222-22-22-2-2-2-2-2-2-2-2000000000000-2-222-22-220000000000000000222222220000000000000000-2-2-2-2000000000000
χ5222222222-2-2-2-22222222222222222-22-22-2-2-2-2-2-2-2-2000000000000-2-222-22-220000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000
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χ1014-4-44−4i4i4i−4i4i−4i-44−1+5−1−51−51−5−1+51+51+5−1−5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ71−5−1+51+5−1−500000000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000000000000000
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χ1054-4-44−4i4i4i−4i−4i4i4-4−1+5−1−51−51−5−1+51+51+5−1−5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−1+51−5−1−51+5000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000000000
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χ1148-88-88i−8i8i−8i0000−2−25−2+252+25−2−252+252−25−2+252−25−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8−8i8i−8i8i0000−2+25−2−252−25−2+252−252+25−2−252+254ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8−8i8i−8i8i0000−2−25−2+252+25−2−252+252−25−2+252−254ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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