Finite Group Databasebeta

← Group #72260257

Character table — Group #72260257

Order 5760.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size111122222222224444444444444444555588888888889999101010101010101010101010101010101010121212121616161616161616161616161818202020202020202020202020202020202020202020202020202020202020202020202020202020202020202024242424242424242424242436363636454545454848484848484848606060606060606060606060727290909090909090909090120120120120120120120120120120120120
order124423346612121212356666610121212121212202022441015152030306060606022442444444444666612121212888815303030303060606060606024666666121212121212121212121212121212121212121212121212121212121212121212121212121224242424404040404040404010102020224412012012012012012012012044444444888810202444444444121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-11111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-111111111111111-1-111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111
χ9111111111111111111111111111111-1-1-1-111111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111111111111111-1-1-1-111111111ii−i−iii−i−i-1-1-1-111-1-1iiii−i−i−i−iii−i−iii−i−i-1-1-1-1
χ10111111111111111111111111111111-1-1-1-111111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii111111-1-1iiii−i−i−i−i−i−iii−i−iii1111
χ11111111111111111111111111111111-1-1-1-111111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111111111111111-1-1-1-111111111−i−iii−i−iii-1-1-1-111-1-1−i−i−i−iiiii−i−iii−i−iii-1-1-1-1
χ12111111111111111111111111111111-1-1-1-111111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i111111-1-1−i−i−i−iiiiiii−i−iii−i−i1111
χ13111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii-1-111-1-111−i−i−i−iiiiiii−i−i−i−iii-1-111
χ14111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiii−i−iiiii−i−i11-1-1
χ15111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i-1-111-1-111iiii−i−i−i−i−i−iiiii−i−i-1-111
χ16111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−iii−i−i−i−iii11-1-1
χ1711-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-111-1-1-11ii−i−iii−i−i1111-1-1-1-1i−ii−i1-1-1-1-111111-1-1-1111-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-11-11-11-1i−ii−i-11-11ii−i−iii−i−i1-11-11-11-1i−ii−i
χ1811-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-111-1-1-11ii−i−iii−i−i1111-1-1-1-1−ii−ii1-1-1-1-111111-1-1-1111-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii-11-11-11-11−ii−ii-11-11ii−i−iii−i−i-11-11-11-11−ii−ii
χ1911-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-111-1-1-11−i−iii−i−iii1111-1-1-1-1i−ii−i1-1-1-1-111111-1-1-1111-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i-11-11-11-11i−ii−i-11-11−i−iii−i−iii-11-11-11-11i−ii−i
χ2011-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-111-1-1-11−i−iii−i−iii1111-1-1-1-1−ii−ii1-1-1-1-111111-1-1-1111-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-11-11-11-1−ii−ii-11-11−i−iii−i−iii1-11-11-11-1−ii−ii
χ2111-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-1-1-111-11ii−i−iii−i−i1111-1-1-1-1i−i−ii1-1-1-1-111111-1-11-111-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−i−iiii−i−i−i−iii-1-111-1-111ii−i−i−i−iii1-11-1-11-11i−i−ii1-11-1−i−iii−i−iii1-11-1-11-11i−i−ii
χ2211-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-1-1-111-11ii−i−iii−i−i1111-1-1-1-1−iii−i1-1-1-1-111111-1-11-111-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−iii−i−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i-11-111-11-1−iii−i1-11-1−i−iii−i−iii-11-111-11-1−iii−i
χ2311-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-1-1-111-11−i−iii−i−iii1111-1-1-1-1i−i−ii1-1-1-1-111111-1-11-111-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−i−iiii−i−i−i−iii-1-111-1-111ii−i−i−i−iii-11-111-11-1i−i−ii1-11-1ii−i−iii−i−i-11-111-11-1i−i−ii
χ2411-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-1-1-111-11−i−iii−i−iii1111-1-1-1-1−iii−i1-1-1-1-111111-1-11-111-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−iii−i−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i1-11-1-11-11−iii−i1-11-1ii−i−iii−i−i1-11-1-11-11−iii−i
χ2511-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-111-1-11-111-1-1-1-111-1-1-1-11111i−ii−i1-1-1-1-111111-1-1-11-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−iii−i−iii−i−i11-1-1-1-111ii−i−iii−i−i−iii−i−iii−i−ii−ii-111-111-1-1-1-111−iii−i−iii−i−ii−ii
χ2611-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-111-1-11-111-1-1-1-111-1-1-1-11111−ii−ii1-1-1-1-111111-1-1-11-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−ii−i−iii−i−iii11-1-1-1-111−i−iii−i−iiii−i−iii−i−iii−ii−i-111-111-1-1-1-111i−i−iii−i−iii−ii−i
χ2711-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-11111i−ii−i1-1-1-1-111111-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i11-1-1-1-111ii−i−iii−i−ii−i−iii−i−ii−ii−ii-111-1-1-11111-1-1i−i−iii−i−ii−ii−ii
χ2811-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-11111−ii−ii1-1-1-1-111111-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii11-1-1-1-111−i−iii−i−iii−iii−i−iii−ii−ii−i-111-1-1-11111-1-1−iii−i−iii−ii−ii−i
χ2911-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-1-1-1111-111-1-1-1-111-1-1-1-11111i−i−ii1-1-1-1-111111-1-11-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii−iii−i1-1-11-1-11111-1-1−iii−ii−i−ii−iii−i
χ3011-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-1-1-1111-111-1-1-1-111-1-1-1-11111−iii−i1-1-1-1-111111-1-11-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−ii−i−ii1-1-11-1-11111-1-1i−i−ii−iii−ii−i−ii
χ3111-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-11111i−i−ii1-1-1-1-111111-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iiii−i−ii−iii−i−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i−iii−i
χ3211-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-11111−iii−i1-1-1-1-111111-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i−iii−ii−i−iii−i−ii1-1-1111-1-1-1-111−iii−ii−i−iii−i−ii
χ33222222-122-122-1-1-122-1-1-1-122-1-1-1-1-122222222-122-122-1-10000222222222222-1-122-1-10022-12-1-1-1-12-1-1-1-1-100-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-1-100002222000000000000-1-1-1-10000222200220000000000000000-1-1-1-100-1-1
χ34222222-122-122-1-1-122-1-1-1-122-1-1-1-1-122222222-122-122-1-10000222222222222-1-122-1-100-2-2-12-1-1-1-12-1-1-1-1-100-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100110000-2-2-2-200000000000011110000-2-2-2-200-2-2000000000000000011110011
χ35222222-122-122-1-1-122-1-1-1-122-1-1-1-1-122222222-122-122-1-1000022-2-2-2-2-2-2-2-222-1-122-1-10022-12-1-1-1-12-1-1-1-1-100-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100-1-100002222000000000000-1-1-1-10000-2-2-2-200220000000000000000111100-1-1
χ36222222-122-122-1-1-122-1-1-1-122-1-1-1-1-122222222-122-122-1-1000022-2-2-2-2-2-2-2-222-1-122-1-100-2-2-12-1-1-1-12-1-1-1-1-100-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100110000-2-2-2-200000000000011110000222200-2-20000000000000000-1-1-1-10011
χ37222222-122-122-1-1-122-1-1-1-122-1-1-1-1-122-2-2-2-222-122-122-1-10000-2-22i2i2i2i−2i−2i−2i−2i-2-211-2-2110022-12-1-1-1-12-1-1-1-1-10011-2111-2111112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii00-1-100002222000000000000-1-1-1-100002i2i−2i−2i00-2-20000000000000000−i−iii0011
χ38222222-122-122-1-1-122-1-1-1-122-1-1-1-1-122-2-2-2-222-122-122-1-10000-2-22i2i2i2i−2i−2i−2i−2i-2-211-2-21100-2-2-12-1-1-1-12-1-1-1-1-10011-2111-2111112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii00110000-2-2-2-200000000000011110000−2i−2i2i2i00220000000000000000ii−i−i00-1-1
χ39222222-122-122-1-1-122-1-1-1-122-1-1-1-1-122-2-2-2-222-122-122-1-10000-2-2−2i−2i−2i−2i2i2i2i2i-2-211-2-2110022-12-1-1-1-12-1-1-1-1-10011-2111-211111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i00-1-100002222000000000000-1-1-1-10000−2i−2i2i2i00-2-20000000000000000ii−i−i0011
χ40222222-122-122-1-1-122-1-1-1-122-1-1-1-1-122-2-2-2-222-122-122-1-10000-2-2−2i−2i−2i−2i2i2i2i2i-2-211-2-21100-2-2-12-1-1-1-12-1-1-1-1-10011-2111-211111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i00110000-2-2-2-2000000000000111100002i2i−2i−2i00220000000000000000−i−iii00-1-1
χ4122222-122-12-1-122-12-12-1-1-12-12-1-1-1-12222222-122-12-1-12200002222222222-1-122-1-1222200-1-12-1-1-1-12-1-1-1-100-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1002222000000000000-1-1-1-10000222200002200000000000000-1-1-1-10000-1-100
χ4222222-122-12-1-122-12-12-1-1-12-12-1-1-1-12222222-122-12-1-12200002222222222-1-122-1-122-2-200-1-12-1-1-1-12-1-1-1-100-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11100-2-2-2-200000000000011110000-2-2-2-20000-2-200000000000000111100001100
χ4322222-122-12-1-122-12-12-1-1-12-12-1-1-1-12222222-122-12-1-122000022-2-2-2-2-2-2-2-2-1-122-1-1222200-1-12-1-1-1-12-1-1-1-100-1-1-12-1-1-12-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111-1-1002222000000000000-1-1-1-10000-2-2-2-20000220000000000000011110000-1-100
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χ4822222-122-12-1-122-12-12-1-1-12-12-1-1-1-122-2-2-2-22-122-12-1-1220000-2-2−2i−2i−2i−2i2i2i2i2i11-2-211-2-2-2-200-1-12-1-1-1-12-1-1-1-100111-2111-21111ii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−i1100-2-2-2-2000000000000111100002i2i−2i−2i00002200000000000000−i−iii0000-1-100
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χ512222-222-222222222-2-2-2-222-2-2-2-22222-2-2-2-2-222-222222222222200000000-2-2-2-2-2-2-2-200002-2-2-2-22-2-2-2-222-2-2-2-222222222-2-2000000000000000000000000000000000000000000002222-2-2-2-200000000000000000000-2-22200000000000000000000
χ522222-222-222222222-2-2-2-222-2-2-2-22222-2-2-2-2-222-2222222-2-2-2-22200000000-2-2-2-2-2-2-2-200002-2-2-2-22-2-2-2-22222-2-222222222-2-200000000000000000000000000000000000000000000-2-2-2-222220000000000000000000022-2-200000000000000000000
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Here i is the imaginary unit (i² = −1).