Finite Group Databasebeta

← Group #13160577

Character table — Group #13160577

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size11111111222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818108108108108
order1222222233333444466666666666666666666666666666666666121212121212121233336666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212224466666666666666661212121212121212121212121212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-11-11-111111ii−i−i11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i
χ1011-1-11-11-111111ii−i−i11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii
χ1111-1-11-11-111111ii−i−i11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii
χ1211-1-11-11-111111ii−i−i11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−i
χ1311-1-11-11-111111−i−iii11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii
χ1411-1-11-11-111111−i−iii11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−i
χ1511-1-11-11-111111−i−iii11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i
χ1611-1-11-11-111111−i−iii11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii
χ172222222222-1-1-122222222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000000000000
χ182222222222-1-1-122222222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-21111110000000000000000000000000000
χ192222222222-1-1-1-2-2-2-22222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-211111111111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000000000000000000000000000
χ202222222222-1-1-1-2-2-2-22222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000000000000
χ21222222222-12-1-122222222-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-12-12-1-1-12-1-12222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000000000
χ22222222222-12-1-122222222-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-12-12-1-1-12-1-12222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-2-2111111-2-2111111-2-2111111-2-211110000000000000000000000000000
χ23222222222-12-1-1-2-2-2-22222-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-12-12-1-1-12-1-122-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-111-2-2111111-2-211111111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000000000000000000000000000
χ24222222222-12-1-1-2-2-2-22222-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-12-12-1-1-12-1-122-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-111-2-2111111-2-211111111-2-2-2-2111111111111-2-2-2-211111111-2-22211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000000000
χ25222222222-1-12-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-12-1-12-1-1-12-12222222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000000000000000000000000000
χ26222222222-1-12-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-12-1-12-1-1-12-12222222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2111111-2-2111111-2-2111111-2-2110000000000000000000000000000
χ27222222222-1-12-1-2-2-2-22222-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-12-1-12-1-1-12-122-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-11111-2-2111111-2-21111111111-2-2-2-2111111111111-2-2-2-2111122-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2110000000000000000000000000000
χ28222222222-1-12-1-2-2-2-22222-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-12-1-12-1-1-12-122-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-11111-2-2111111-2-21111111111-2-2-2-2111111111111-2-2-2-21111-2-2221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-10000000000000000000000000000
χ29222222222-1-1-1222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000000000000000
χ30222222222-1-1-1222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-20000000000000000000000000000
χ31222222222-1-1-12-2-2-2-22222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-1222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-12111111-2-2111111-2-2111111111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-20000000000000000000000000000
χ32222222222-1-1-12-2-2-2-22222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-1222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-12111111-2-2111111-2-2111111111111-2-2-2-2111111111111-2-2-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000000000000000
χ3322222222-122222222-1-1-1-122222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ3422222222-122222222-1-1-1-122222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000-2-2-2-2-2-2-2-211111111111111110000
χ3522222222-12222-2-2-2-2-1-1-1-122222222222222222222-122222222-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111110000000000000000000000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-1111111110000
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χ2034-4-4-4-4444-2-2-2-2400002-22-22-222-222-22-44-42-22-22-2-442222-4-2-2-242-223−2323−23−2323−2323111-2-11-1-11-1-11-12-22-111-111-1112-2-2-1-1-120000000000000000−33−33−33−33−33−3323−2323−233−33−33−33−33−33−3−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ2044-4-4-4-4444-2-2-2-2400002-22-22-222-222-22-44-42-22-22-2-442222-4-2-2-242-2−2323−232323−2323−23111-2-11-1-11-1-11-12-22-111-111-1112-2-2-1-1-1200000000000000003−33−33−33−33−33−3−2323−2323−33−33−33−33−33−3323−2323−230000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).