Finite Group Databasebeta

← Group #14418065

Character table — Group #14418065

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
size1111222222222222222222222222223333444444444444444444444444444444444444444444444444446666666666666666666666888888888888888888888888888812121212121212121212121212121212121212121212121212121212202020202020202040404040404040406060606060606060
order1244222344455610101010101012122020202020202020888844446661010101012121215152020202020202020202020202020202020202020303030303030606060606060606088888840404040404040404040404040404040121212123030303060606060606060606060606060606060606060608888404040404040404040404040404040404040404040404040224488886612122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ91111-1-111-1-111111111111111111111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-11-11-111-1-1
χ101111-1-111-1-111111111111111111111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-111-11-11-1-111
χ111111-1-111-1-1111111111111111111111111-1-111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1111-11-1-1-111-11-1111-1-1
χ121111-1-111-1-1111111111111111111111111-1-111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-11-1111-1-11-11-1-1-111
χ131111-1-111-1-111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-11-111-1-11-11-111-1-1-11-11-1-111
χ141111-1-111-1-111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-11-11-1-111-11-11-1-1111-11-111-1-1
χ151111-1-111-1-111111111111111111111-1-1-1-1-1-111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-11-11-1-1-1111-11-1-1-1111-11-1-1-111
χ161111-1-111-1-111111111111111111111-1-1-1-1-1-111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-11-1111-1-1-11-1111-1-1
χ1711-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1ii−i−ii−ii−i1-1-111-1-111-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-1-1i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1i−ii−i11-1-1i−ii−i1-1-11i−ii−i
χ1811-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1ii−i−ii−ii−i1-1-111-1-111-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-1-1i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111−ii−ii-1-111−ii−ii-111-1−ii−ii
χ1911-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1ii−i−i−ii−ii1-1-111-1-111-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-1-1i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11iiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−ii−ii11-1-1−ii−ii-111-1i−ii−i
χ2011-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1ii−i−i−ii−ii1-1-111-1-111-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-1-1i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11iiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-111i−ii−i-1-111i−ii−i1-1-11−ii−ii
χ2111-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1−i−iiii−ii−i1-1-111-1-111-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-1-1−ii−i−iii−i−i−i−i−i−i−i−iiiiiiiiii−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1i−ii−i11-1-1i−ii−i-111-1−ii−ii
χ2211-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1−i−iiii−ii−i1-1-111-1-111-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-1-1−ii−i−iii−i−i−i−i−i−i−i−iiiiiiiiii−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-111−ii−ii-1-111−ii−ii1-1-11i−ii−i
χ2311-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1−i−iii−ii−ii1-1-111-1-111-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-1-1−ii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−ii−ii11-1-1−ii−ii1-1-11−ii−ii
χ2411-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1−i−iii−ii−ii1-1-111-1-111-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-1-1−ii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111i−ii−i-1-111i−ii−i-111-1i−ii−i
χ2511-1-1-11-11-11111111-1-1-1-1-1-11111-1-1-1-1ii−i−ii−i−ii-11-1-1-1111-1111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-1i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1-11i−i−ii1-1-11i−i−ii11-1-1i−i−ii
χ2611-1-1-11-11-11111111-1-1-1-1-1-11111-1-1-1-1ii−i−ii−i−ii-11-1-1-1111-1111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-1i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-111-1−iii−i-111-1−iii−i-1-111−iii−i
χ2711-1-1-11-11-11111111-1-1-1-1-1-11111-1-1-1-1ii−i−i−iii−i-11-1-1-1111-1111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-1i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11−iii−i1-1-11−iii−i-1-111i−i−ii
χ2811-1-1-11-11-11111111-1-1-1-1-1-11111-1-1-1-1ii−i−i−iii−i-11-1-1-1111-1111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-1i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-1i−i−ii-111-1i−i−ii11-1-1−iii−i
χ2911-1-1-11-11-11111111-1-1-1-1-1-11111-1-1-1-1−i−iiii−i−ii-11-1-1-1111-1111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-1−iiii−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11i−i−ii1-1-11i−i−ii-1-111−iii−i
χ3011-1-1-11-11-11111111-1-1-1-1-1-11111-1-1-1-1−i−iiii−i−ii-11-1-1-1111-1111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-1−iiii−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-1−iii−i-111-1−iii−i11-1-1i−i−ii
χ3111-1-1-11-11-11111111-1-1-1-1-1-11111-1-1-1-1−i−iii−iii−i-11-1-1-1111-1111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-1−iiii−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1-11−iii−i1-1-11−iii−i11-1-1−iii−i
χ3211-1-1-11-11-11111111-1-1-1-1-1-11111-1-1-1-1−i−iii−iii−i-11-1-1-1111-1111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-1−iiii−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-111-1i−i−ii-111-1i−i−ii-1-111i−i−ii
χ3322222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
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χ1848-8−8i8i000-4000−2+25−2−2542−252+25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ364i−4i−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ144ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000000000000000001−51+500000000000000000000−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1858-8−8i8i000-4000−2−25−2+2542+252−25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ284i−4i4ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ384ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000000000001+51−500000000000000000000−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1868-8−8i8i000-4000−2−25−2+2542+252−254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ284i−4i−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000000000001+51−500000000000000000000−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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