Finite Group Databasebeta

← Group #12252348

Character table — Group #12252348

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222222222224444444444444444444444444444448888888888888888888888888888101010101010101010101010101010101616161616161616161616161616161620202020202020204040404040404040
order122222444455888810101010101088101010101616161616161616202020202020202040404040404040404444444440404040808080808080808080808080808080802222444416161616161616162020202020202020202020202020202088881616161644444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-11-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ101111-1-11-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111
χ111111-1-11-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111
χ121111-1-11-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1
χ131111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111
χ141111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ151111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-111-1-1
χ161111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111
χ1711-1-11-1-11-1111-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111i−ii−ii−ii−i11-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-111-1-1i−ii−ii−ii−i
χ1811-1-11-1-11-1111-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111i−ii−ii−ii−i11-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i-11-11-1-111−ii−ii−ii−ii
χ1911-1-11-1-11-1111-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111−ii−ii−ii−ii11-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-111-1-1−ii−ii−ii−ii
χ2011-1-11-1-11-1111-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111−ii−ii−ii−ii11-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-11111−i−iii−i−iii−i−iii−i−iii-11-11-1-111i−ii−ii−ii−i
χ2111-1-11-1-11-1111-1-11111-1-1-1-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111i−ii−i−ii−ii11-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii1-11-1-1-111i−ii−i−ii−ii
χ2211-1-11-1-11-1111-1-11111-1-1-1-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111i−ii−i−ii−ii11-1-1-1-1-1-11111-1-1-1-11111-11-11-11-111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-11-1111-1-1−ii−iii−ii−i
χ2311-1-11-1-11-1111-1-11111-1-1-1-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111−ii−iii−ii−i11-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i1-11-1-1-111−ii−iii−ii−i
χ2411-1-11-1-11-1111-1-11111-1-1-1-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111−ii−iii−ii−i11-1-1-1-1-1-11111-1-1-1-11111-11-11-11-111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-11-1111-1-1i−ii−i−ii−ii
χ2511-1-1-11-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111i−i−iii−i−ii-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i1-1-11-1-111−iii−ii−i−ii
χ2611-1-1-11-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111i−i−iii−i−ii-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-111-111-1-1i−i−ii−iii−i
χ2711-1-1-11-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111−iii−i−iii−i-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii1-1-11-1-111i−i−ii−iii−i
χ2811-1-1-11-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111−iii−i−iii−i-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-111-111-1-1−iii−ii−i−ii
χ2911-1-1-11-1-11111-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111i−i−ii−iii−i-1-111-1-1-1-111111111-1-1-1-11-1-111-1-11-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii1-1-1111-1-1−iii−i−iii−i
χ3011-1-1-11-1-11111-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111i−i−ii−iii−i-1-111-1-1-1-111111111-1-1-1-1-111-1-111-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-111-1-1-111i−i−iii−i−ii
χ3111-1-1-11-1-11111-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111−iii−ii−i−ii-1-111-1-1-1-111111111-1-1-1-11-1-111-1-11-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i1-1-1111-1-1i−i−iii−i−ii
χ3211-1-1-11-1-11111-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111−iii−ii−i−ii-1-111-1-1-1-111111111-1-1-1-1-111-1-111-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-111-1-1-111−iii−i−iii−i
χ33222222222222-2-2-2-2222222-2-222220000000022222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000022222222000000000000000000000000-2-2-2-2000000000000
χ34222222222222-2-2-2-2222222-2-222220000000022222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ352222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ362222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5200000000000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ372222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ382222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ392222222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+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+520000000000000000−1−52−1+52−1−52−1+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
χ402222222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+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+5200000000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ412222222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ422222222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+52-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ43222222-2-2-2-22200002222220022222−22−22−22−2-2-2-2-2-2-2-2-2000000000000000000002−22−22−22−22−22−22−22−222-2-2-2-22222−2−222−2−2000000000000000000002−22−200000000
χ44222222-2-2-2-22200002222220022222−22−22−22−2-2-2-2-2-2-2-2-2000000000000000000002−22−22−22−22−22−22−22−2-2-22222-2-2−2−222−2−22200000000000000000000−22−2200000000
χ45222222-2-2-2-2220000222222002222−22−22−22−22-2-2-2-2-2-2-2-200000000000000000000−22−22−22−22−22−22−22−2222-2-2-2-222−2−222−2−22200000000000000000000−22−2200000000
χ46222222-2-2-2-2220000222222002222−22−22−22−22-2-2-2-2-2-2-2-200000000000000000000−22−22−22−22−22−22−22−22-2-22222-2-222−2−222−2−2000000000000000000002−22−200000000
χ472222-2-22-2-2222-2-2-2-222222222-2-2-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-2000000002222000000000000000022-2-222-2-2000000000000000000000000-2-222000000000000
χ482222-2-22-2-2222-2-2-2-222222222-2-2-2-20000000022-2-2-2-222-2-2-2-2-2-2-2-20000000022220000000000000000-2-222-2-22200000000000000000000000022-2-2000000000000
χ492222-2-22-2-22−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521+521−521+522222-2-2-2-2−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-21−521+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+5200000000000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ502222-2-22-2-22−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521+521−521+522222-2-2-2-2−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2221−521+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+520000000000000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
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χ1258-8-88000000−2+25−2−2542−42−42422−252+25−2+25−2−252−252+250000000000000000000000−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ780000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88000000−2+25−2−25−424242−422−252+25−2+25−2−252−252+2500000000000000000000002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ780000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88000000−2−25−2+2542−42−42422+252−25−2−25−2+252+252−2500000000000000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ740000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88000000−2−25−2+25−424242−422+252−25−2−25−2+252+252−250000000000000000000000−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ740000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.