Finite Group Databasebeta

← Group #12122218

Character table — Group #12122218

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222444444444444444444444444444488888888888888888888888888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222224444551010101010102244888810101010202020202020202040404040404040404444888888101010102020202040404040404040404040404020202020202020204040404040404040444444444444888844444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ81111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1
χ9111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ11111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1
χ12111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ13111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1711-1-11-111-1-111-1-1-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11-11-11-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-11-111-1-111-1-1-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11-11-11-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911-1-11-111-1-111-1-1-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-111-1-11-1111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2011-1-11-111-1-111-1-1-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-111-1-11-1111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2111-1-11-111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-11-111-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−iii−i−ii−i−ii−ii−ii
χ2211-1-11-111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-11-111-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iii−i−iii−iii−ii−ii−i
χ2311-1-11-111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-1-11-111-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iii−i−iiii−i−iii−ii−i
χ2411-1-11-111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-1-11-111-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−iii−i−i−iii−i−ii−ii
χ2511-1-11-111-1-111-1-1-1-111-11-1111-1-111-1-1-1-1-1-111111111-1-1-1-11-11-1-11-11-11-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111ii−i−iii−i−iii−i−i−i−iii−ii−ii−iii−i
χ2611-1-11-111-1-111-1-1-1-111-11-1111-1-111-1-1-1-1-1-111111111-1-1-1-11-11-1-11-11-11-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111−i−iii−i−iii−i−iiiii−i−ii−ii−ii−i−ii
χ2711-1-11-111-1-111-1-1-1-111-11-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11-111-11-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iiiii−i−i−ii−iii−i−ii
χ2811-1-11-111-1-111-1-1-1-111-11-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11-111-11-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−i−i−iiii−ii−i−iii−i
χ2911-1-11-111-1-111-1-1-1-111-11-11-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−ii−i−ii
χ3011-1-11-111-1-111-1-1-1-111-11-11-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−ii−iii−i
χ3111-1-11-111-1-111-1-1-1-111-11-11-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-11-11-1-11-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−i−iii−i
χ3211-1-11-111-1-111-1-1-1-111-11-11-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-11-11-1-11-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−i−iii−i−ii
χ332222222222−1+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+52−1−52−1−522222222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ342222222222−1+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+52−1−52−1−52-2-2-2-222-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ352222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2-2-222-2-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ362222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-222-2-2-2-222−1+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+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ372222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ382222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222221−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+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+52−1−52000000000000000000000000
χ392222222222−1+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+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-222-2-2221−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ402222222222−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2222222-2-21−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ412222222222−1−52−1+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+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ422222222222−1−52−1+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+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+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ432222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ442222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ452222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ462222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222221+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+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+52000000000000000000000000
χ472222222222−1−52−1+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+521+521+521−521−521+521+521−521−5222-2-222-2-2221+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+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ482222222222−1−52−1+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+521+521+521−521−521+521+521−521−52-2-2222222-2-21+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+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ492222-2-22-22-22222222200002-22-2-2-2-2-22-22-22-22-222222222000000000000000000-2-2-2-20000000000000000000000002-22-22-22-20000000000000000
χ502222-2-22-22-22222222200002-22-2-2-2-2-22-22-22-22-222222222000000000000000000-2-2-2-2000000000000000000000000-22-22-22-220000000000000000
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χ1118-88-8000000−2−25−2+25−2−252+25−2+252−252+252−25000000000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800000088-88-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88000000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88000000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.