Finite Group Databasebeta

← Group #72231391

Character table — Group #72231391

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228
size11112222224444444444444444444444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888825252525505050505050100100100100100100100100150150150150150150150150300300300300
order1222223666245555556666101010101010101010101010101010101010121215151515151515151515151530303030303030303030303030303030303030303030303030303030303030303030303010101010101010101010101010101010101010101010101020202020202020202020202030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303060606060606060606060606060606060606060606060606022222266662466661212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111-1-111111111-1-1111111111111111111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1
χ61111111111-1-111111111-1-1111111111111111111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111-1-1111111111111111111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111iiii−i−i−i−i−i−iii
χ81111111111-1-111111111-1-1111111111111111111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-111111-1111111-1-111111111111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111-1111111-1-111111111111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-1-1-111-1-111-11-11
χ111111-1-111111-1111111-1-111111111111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111ii−i−i−i−iiii−i−ii
χ121111-1-111111-1111111-1-111111111111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111−i−iiiii−i−i−iii−i
χ131111-1-11111-11111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-11-1-1-1-11111-1-111-1-1-11-11
χ141111-1-11111-11111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-11-1-1-1-111-1-111-1-1111-11-1
χ151111-1-11111-11111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-11-11111-1-1ii−i−i−i−iii−iii−i
χ161111-1-11111-11111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-11-11111-1-1−i−iiiii−i−ii−i−ii
χ17222222-1-1-1-122222222-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1000000000000
χ18222222-1-1-1-122222222-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2111111000000000000
χ19222222-1-1-1-1-2-2222222-1-11122222222222222222211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111222222-1-1-1-1-2-2-1-11111000000000000
χ20222222-1-1-1-1-2-2222222-1-11122222222222222222211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-2-2-2-2-2-211112211-1-1-1-1000000000000
χ212222-2-2-1-1-1-12-222222211-1-122222222222222222211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111112222-2-2-1-1-1-12-211-1-111000000000000
χ222222-2-2-1-1-1-12-222222211-1-122222222222222222211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-2-2-2-2221111-22-1-111-1-1000000000000
χ232222-2-2-1-1-1-1-222222221111222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-221111-1-1000000000000
χ242222-2-2-1-1-1-1-222222221111222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211112-2-1-1-1-111000000000000
χ2522-2-20022-2-2002222220000222222-2-2-2-2-2-2-2-2-2-2-2-200222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022-2-20022-2-200000000002i−2i002i−2i0000
χ2622-2-20022-2-2002222220000222222-2-2-2-2-2-2-2-2-2-2-2-200222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022-2-20022-2-20000000000−2i2i00−2i2i0000
χ2722-2-20022-2-2002222220000222222-2-2-2-2-2-2-2-2-2-2-2-200222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-2-22200-2-22200000000002-200-220000
χ2822-2-20022-2-2002222220000222222-2-2-2-2-2-2-2-2-2-2-2-200222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-2-22200-2-2220000000000-22002-20000
χ292-22-2002-22-2002222220000-2-2-2-2-2-2222222-2-2-2-2-2-200222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-2002-22-2000000002i−2i002i−2i000000
χ302-22-2002-22-2002222220000-2-2-2-2-2-2222222-2-2-2-2-2-200222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-2002-22-200000000−2i2i00−2i2i000000
χ312-22-2002-22-2002222220000-2-2-2-2-2-2222222-2-2-2-2-2-200222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-2200-22-22000000002-200-22000000
χ322-22-2002-22-2002222220000-2-2-2-2-2-2222222-2-2-2-2-2-200222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-2200-22-2200000000-22002-2000000
χ332-2-222-22-2-22002222222-200-2-2-2-2-2-2-2-2-2-2-2-222222200222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002-2-222-22-2-22002-20000000000000000
χ342-2-222-22-2-22002222222-200-2-2-2-2-2-2-2-2-2-2-2-222222200222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-222-2-22-222-200-220000000000000000
χ352-2-222-2-111-100222222-11−i3i3-2-2-2-2-2-2-2-2-2-2-2-2222222−i3i3-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i32-2-222-2-111-100-11−i3i3−i3i3000000000000
χ362-2-222-2-111-100222222-11−i3i3-2-2-2-2-2-2-2-2-2-2-2-2222222−i3i3-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3-222-2-221-1-11001-1i3−i3i3−i3000000000000
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χ2248-88-800-44-4400-2-2-28-2-20000222-822-2-2-28-2-2222-822001+i151−i151+i151−i151−i151+i15-4-41−i151+i151+i151−i15−1−i15−1+i15−1−i15−1+i15−1+i15−1−i1544−1+i15−1−i15−1−i15−1+i151+i151−i151+i151−i151−i151+i15-4-41−i151+i151+i151−i15−1−i15−1+i15−1−i15−1+i15−1+i15−1−i1544−1+i15−1−i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2258-88-800-44-4400-2-2-2-28-200002222-82-2-2-2-28-22222-82001−i151+i151+i151−i151−i151+i151+i151−i15-4-41−i151+i15−1+i15−1−i15−1−i15−1+i15−1+i15−1−i15−1−i15−1+i1544−1+i15−1−i151−i151+i151+i151−i151−i151+i151+i151−i15-4-41−i151+i15−1+i15−1−i15−1−i15−1+i15−1+i15−1−i15−1−i15−1+i1544−1+i15−1−i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2268-88-800-44-4400-2-2-2-28-200002222-82-2-2-2-28-22222-82001+i151−i151−i151+i151+i151−i151−i151+i15-4-41+i151−i15−1−i15−1+i15−1+i15−1−i15−1−i15−1+i15−1+i15−1−i1544−1−i15−1+i151+i151−i151−i151+i151+i151−i151−i151+i15-4-41+i151−i15−1−i15−1+i15−1+i15−1−i15−1−i15−1+i15−1+i15−1−i1544−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2278-88-800-44-4400-2-2-2-2-28000022222-8-2-2-2-2-2822222-8001−i151+i151+i151−i151+i151−i151−i151+i151−i151+i15-4-4−1+i15−1−i15−1−i15−1+i15−1−i15−1+i15−1+i15−1−i15−1+i15−1−i15441−i151+i151+i151−i151+i151−i151−i151+i151−i151+i15-4-4−1+i15−1−i15−1−i15−1+i15−1−i15−1+i15−1+i15−1−i15−1+i15−1−i1544000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2288-88-800-44-4400-2-2-2-2-28000022222-8-2-2-2-2-2822222-8001+i151−i151−i151+i151−i151+i151+i151−i151+i151−i15-4-4−1−i15−1+i15−1+i15−1−i15−1+i15−1−i15−1−i15−1+i15−1−i15−1+i15441+i151−i151−i151+i151−i151+i151+i151−i151+i151−i15-4-4−1−i15−1+i15−1+i15−1−i15−1+i15−1−i15−1−i15−1+i15−1−i15−1+i1544000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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