Finite Group Databasebeta

← Group #12122210

Character table — Group #12122210

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111222222222222224444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888882020202020202020404040404040404040404040
order1222224444551010101010104444444444448888101010102020202020202020202020202020202020202020202020204040404040404040444488202020202020202020202020202020202020202020202020202020202020202040404040404040404040404022448888444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ10111111111111111111-1-1-1-111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111
χ13111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ1711-1-11-1-1-11111-1-1-1-111ii−i−iii−i−iii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-11-11-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1iiii−i−i−i−i1-11-1ii−i−ii−ii−ii−i1-11-11-1
χ1811-1-11-1-1-11111-1-1-1-111ii−i−iii−i−iii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-11-11-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1iiii−i−i−i−i-11-11−i−iii−ii−ii−ii-11-11-11
χ1911-1-11-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-1-11-11−iiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−i−i−iiiii1-11-1−i−iiii−ii−i−ii1-1-11-11
χ2011-1-11-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-1-11-11−iiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−i−i−iiiii-11-11ii−i−i−ii−iii−i-111-11-1
χ2111-1-11-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-111111-1-11−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiii1-11-1ii−i−ii−i−ii−ii-111-1-11
χ2211-1-11-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-111111-1-11−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiii-11-11−i−iii−iii−ii−i1-1-111-1
χ2311-1-11-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-11111-111-1i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111iiii−i−i−i−i1-11-1−i−iiii−i−iii−i-11-111-1
χ2411-1-11-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-11111-111-1i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111iiii−i−i−i−i-11-11ii−i−i−iii−i−ii1-11-1-11
χ2511-1-11-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-11111-111-1−ii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111−i−i−i−iiiii1-11-1ii−i−i−iii−i−ii-11-111-1
χ2611-1-11-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-11111-111-1−ii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111−i−i−i−iiiii-11-11−i−iiii−i−iii−i1-11-1-11
χ2711-1-11-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-111111-1-11i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i1-11-1−i−iii−iii−ii−i-111-1-11
χ2811-1-11-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-111111-1-11i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i-11-11ii−i−ii−i−ii−ii1-1-111-1
χ2911-1-11-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1-11-11i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1iiii−i−i−i−i1-11-1ii−i−i−ii−iii−i1-1-11-11
χ3011-1-11-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1-11-11i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1iiii−i−i−i−i-11-11−i−iiii−ii−i−ii-111-11-1
χ3111-1-11-1-1-11111-1-1-1-111−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-11-11-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−i−i−iiiii1-11-1−i−iii−ii−ii−ii1-11-11-1
χ3211-1-11-1-1-11111-1-1-1-111−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-11-11-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−i−i−iiiii-11-11ii−i−ii−ii−ii−i-11-11-11
χ332222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ342222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222-2-2-2-22222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+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+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ352222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-22222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000
χ362222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-22222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ372222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222222222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-222-2-21−521−521+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+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+5200000000000000000000
χ382222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2221−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ392222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+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+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ402222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-21−521−521+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+52−1−52−1−52−1+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+5200000000000000000000
χ412222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.