Finite Group Databasebeta

← Group #12106162

Character table — Group #12106162

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222222222444444444444444444444444444444555588888888888888888888888888881010101010101010101016161616161616161616161616161616202020202020202020204040404040404040
order1222224444558888101010101010224488888810101010202020202020202040404040404040404444444488881010101020202020404040404040404040404040444444888820202020202020204040404040404040444488888822448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1
χ9111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ10111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ11111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ12111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1
χ13111111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ14111111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ15111111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-111-1-1
χ16111111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ1711-1-11-1-11-1111ii−i−i-1-1-1-1111-11-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i1-1i−i11-1-111-1-1ii−i−iiiii−i−i−i−ii−iii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−ii−ii−i1-111-1-11-1i−ii−i1-1
χ1811-1-11-1-11-1111ii−i−i-1-1-1-1111-11-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-11−ii11-1-111-1-1ii−i−iiiii−i−i−i−ii−iii−i−i11-1-1−i−iii-1-111-1-111−i−iiii−ii−i1-111-1-1-11−ii−ii-11
χ1911-1-11-1-11-1111ii−i−i-1-1-1-1111-11-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−i−iii1-1i−i1-1i−i11-1-111-1-1ii−i−iiiii−i−i−i−i−ii−i−iii-1-111ii−i−i11-1-111-1-1ii−i−i−ii−ii-11-1-111-11−ii−ii-11
χ2011-1-11-1-11-1111ii−i−i-1-1-1-1111-11-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−i−iii-11−ii-11−ii11-1-111-1-1ii−i−iiiii−i−i−i−i−ii−i−iii-1-111−i−iii-1-111-1-111−i−iii−ii−ii-11-1-1111-1i−ii−i1-1
χ2111-1-11-1-11-1111ii−i−i-1-1-1-111-11-11i−i−i−iii11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i-11−ii-1-111-1-111ii−i−i−i−i−i−iiiiii−iii−i−i11-1-1ii−i−i11-1-1-1-111−i−iii−ii−ii1-1-1-1111-1i−i−ii-11
χ2211-1-11-1-11-1111ii−i−i-1-1-1-111-11-11i−i−i−iii11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii1-1i−i-1-111-1-111ii−i−i−i−i−i−iiiiii−iii−i−i11-1-1−i−iii-1-11111-1-1ii−i−i−ii−ii1-1-1-111-11−iii−i1-1
χ2311-1-11-1-11-1111ii−i−i-1-1-1-111-11-11i−i−i−iii11-1-11111-1-1-1-1iiii−i−i−i−i−i−iii1-1i−i-11−ii-1-111-1-111ii−i−i−i−i−i−iiiii−ii−i−iii-1-111ii−i−i11-1-1-1-111−i−iiii−ii−i-1111-1-1-11−iii−i1-1
χ2411-1-11-1-11-1111ii−i−i-1-1-1-111-11-11i−i−i−iii11-1-11111-1-1-1-1iiii−i−i−i−i−i−iii-11−ii1-1i−i-1-111-1-111ii−i−i−i−i−i−iiiii−ii−i−iii-1-111−i−iii-1-11111-1-1ii−i−ii−ii−i-1111-1-11-1i−i−ii-11
χ2511-1-11-1-11-1111−i−iii-1-1-1-1111-11-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiiiii−i−i1-1−ii1-1−ii11-1-111-1-1−i−iii−i−i−i−iiiiii−iii−i−i-1-111−i−iii11-1-111-1-1−i−iiii−ii−i-11-1-111-11i−ii−i-11
χ2611-1-11-1-11-1111−i−iii-1-1-1-1111-11-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiiiii−i−i-11i−i-11i−i11-1-111-1-1−i−iii−i−i−i−iiiiii−iii−i−i-1-111ii−i−i-1-111-1-111ii−i−ii−ii−i-11-1-1111-1−ii−ii1-1
χ2711-1-11-1-11-1111−i−iii-1-1-1-1111-11-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii1-1−ii11-1-111-1-1−i−iii−i−i−i−iiiii−ii−i−iii11-1-1−i−iii11-1-111-1-1−i−iii−ii−ii1-111-1-11-1−ii−ii1-1
χ2811-1-11-1-11-1111−i−iii-1-1-1-1111-11-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-11i−i11-1-111-1-1−i−iii−i−i−i−iiiii−ii−i−iii11-1-1ii−i−i-1-111-1-111ii−i−i−ii−ii1-111-1-1-11i−ii−i-11
χ2911-1-11-1-11-1111−i−iii-1-1-1-111-11-11−iiii−i−i11-1-11111-1-1-1-1−i−i−i−iiiiiii−i−i1-1−ii-11i−i-1-111-1-111−i−iiiiiii−i−i−i−ii−iii−i−i-1-111−i−iii11-1-1-1-111ii−i−i−ii−ii-1111-1-1-11i−i−ii1-1
χ3011-1-11-1-11-1111−i−iii-1-1-1-111-11-11−iiii−i−i11-1-11111-1-1-1-1−i−i−i−iiiiiii−i−i-11i−i1-1−ii-1-111-1-111−i−iiiiiii−i−i−i−ii−iii−i−i-1-111ii−i−i-1-11111-1-1−i−iii−ii−ii-1111-1-11-1−iii−i-11
χ3111-1-11-1-11-1111−i−iii-1-1-1-111-11-11−iiii−i−i11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii-11i−i-1-111-1-111−i−iiiiiii−i−i−i−i−ii−i−iii11-1-1−i−iii11-1-1-1-111ii−i−ii−ii−i1-1-1-1111-1−iii−i-11
χ3211-1-11-1-11-1111−i−iii-1-1-1-111-11-11−iiii−i−i11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i1-1−ii-1-111-1-111−i−iiiiiii−i−i−i−i−ii−i−iii11-1-1ii−i−i-1-11111-1-1−i−iiii−ii−i1-1-1-111-11i−i−ii1-1
χ332222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5200000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ352222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2−1+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+52−1−52−1−5200002222-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ362222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2−1+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+52−1−52−1−520000-2-2-2-222221−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ372222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2−1+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+52000022-2-222-2-2−1+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+5200000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ382222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2−1+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+520000-2-222-2-222−1+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+520000000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ392222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-2-2-2221−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ402222222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-22222-2-21−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ412222222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ422222222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-2-2-2-2−1−52−1+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+5200000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ432222222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2−1−52−1+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+5200002222-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ442222222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2−1−52−1+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+520000-2-2-2-222221+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ452222222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2−1−52−1+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+521−521−52000022-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−5200000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ462222222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2−1−52−1+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+521−521−520000-2-222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.