Finite Group Databasebeta

← Group #14418118

Character table — Group #14418118

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888888830303030303030303030303060606060606060606060
order124422234445561010121215151515202020203030303060606060606060606668888888888881010101010101212122020202020203030303030303030303030306060606060606060606060602424242424242424242424244040404040404040404040404040404040404040404040401201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201204444888888882222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ511111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ611111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-111-1-111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11-11-1-1-1
χ101111-1-111-1-111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1111
χ111111-1-111-1-111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-111-1-11-1-1
χ121111-1-111-1-111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-111-111
χ131111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-111-1-111-1-1-1
χ141111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111-1-1111
χ151111-1-111-1-111111111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11-1-1
χ161111-1-111-1-111111111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-111
χ1711-1-11-1-111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i1-11-1-1-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i1-11-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i111-1-1-1-11i−i
χ1811-1-11-1-111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i1-11-1-1-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i1-11-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii-1-1-11111-1−ii
χ1911-1-11-1-111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1i−ii−i−ii−ii-11-11-1-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii-11-11ii−i−iii−i−i−i−iii−i−iii-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−i−i−iii−i−iii11-11-1-11-1i−i
χ2011-1-11-1-111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1i−ii−i−ii−ii-11-11-1-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii-11-11ii−i−iii−i−i−i−iii−i−iii-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iiiii−i−iii−i−i-1-11-111-11−ii
χ2111-1-11-1-111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1−ii−iii−ii−i-11-11-1-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i-11-11−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−i−i−iii−i−iii-1-11-111-11i−i
χ2211-1-11-1-111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1−ii−iii−ii−i-11-11-1-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i-11-11−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iiiii−i−iii−i−i11-11-1-11-1−ii
χ2311-1-11-1-111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii1-11-1-1-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii−ii−ii1-11-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i-1-1-11111-1i−i
χ2411-1-11-1-111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii1-11-1-1-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii−ii−ii1-11-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii111-1-1-1-11−ii
χ2511-1-1-11-11-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11i−i−iii−i−ii1-1-11-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111i−i−iii−i−ii1-1-11ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii1-111-11-1-1−ii
χ2611-1-1-11-11-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11i−i−iii−i−ii1-1-11-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111i−i−iii−i−ii1-1-11ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−i-11-1-11-111i−i
χ2711-1-1-11-11-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11i−i−ii−iii−i-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111i−i−ii−iii−i-111-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i1-1-1-1-1111−ii
χ2811-1-1-11-11-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11i−i−ii−iii−i-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111i−i−ii−iii−i-111-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iii-11111-1-1-1i−i
χ2911-1-1-11-11-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11−iii−ii−i−ii-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111−iii−ii−i−ii-111-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i-11111-1-1-1−ii
χ3011-1-1-11-11-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11−iii−ii−i−ii-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111−iii−ii−i−ii-111-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iii1-1-1-1-1111i−i
χ3111-1-1-11-11-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11−iii−i−iii−i1-1-11-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111−iii−i−iii−i1-1-11−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii-11-1-11-111−ii
χ3211-1-1-11-11-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11−iii−i−iii−i1-1-11-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111−iii−i−iii−i1-1-11−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−i1-111-11-1-1i−i
χ3322222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222222222222−1−52−1+52−1−52−1+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+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
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χ1968-8−8i8i000-4000−2−25−2+2542+252−254i−4i−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ384ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ38−4ζ31−4ζ594ζ31+4ζ59−4ζ11−4ζ194ζ11+4ζ19−4ζ43−4ζ474ζ43+4ζ47−4ζ7−4ζ234ζ7+4ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1978-8−8i8i000-4000−2+25−2−2542−252+254i−4i−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ344ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ34−4ζ7−4ζ234ζ7+4ζ23−4ζ43−4ζ474ζ43+4ζ47−4ζ31−4ζ594ζ31+4ζ59−4ζ11−4ζ194ζ11+4ζ190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1988-8−8i8i000-4000−2+25−2−2542−252+254i−4i−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ464ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ46−4ζ43−4ζ474ζ43+4ζ47−4ζ7−4ζ234ζ7+4ζ23−4ζ11−4ζ194ζ11+4ζ19−4ζ31−4ζ594ζ31+4ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.