Finite Group Databasebeta

← Group #72269825

Character table — Group #72269825

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size111122222233336666668888888888888888242424242424242433336666669999181818181818242424242424242424242424242424247272727272727272444488888812121212242424242424323232323232323232323232323232329696969696969696444488888812121212242424242424323232323232323232323232323232329696969696969696
order1244248888224424888836661212121224242424242424248888888822442488882244248888666612121212242424242424242488888888361212612242424246612126122424242436661212121224242424242424242424242424242424361212612242424246612126122424242436661212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ511-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1i−ii−ii−ii−i11-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1i−ii−ii−ii−i11-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1i−ii−ii−ii−i11-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1i−ii−ii−ii−i
χ611-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1−ii−ii−ii−ii11-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1−ii−ii−ii−ii11-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1−ii−ii−ii−ii11-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1−ii−ii−ii−ii
χ711-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111i−i−iii−i−ii11-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111i−i−iii−i−ii11-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111i−i−iii−i−ii11-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111i−i−iii−i−ii
χ811-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111−iii−i−iii−i11-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111−iii−i−iii−i11-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111−iii−i−iii−i11-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111−iii−i−iii−i
χ922222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ10222222-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000222222-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000222222-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000222222-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ112222-2-200002222-2-200002-2-2222-2-200000000000000002222-2-200002222-2-200002-2-2222-2-200000000000000002222-2-200002222-2-200002-2-2222-2-200000000000000002222-2-200002222-2-200002-2-2222-2-20000000000000000
χ122222-2-200002222-2-20000-111-1-1-11133−3−333−3−3000000002222-2-200002222-2-20000-111-1-1-11133−3−333−3−3000000002222-2-200002222-2-20000-111-1-1-11133−3−333−3−3000000002222-2-200002222-2-20000-111-1-1-11133−3−333−3−300000000
χ132222-2-200002222-2-20000-111-1-1-111−3−333−3−333000000002222-2-200002222-2-20000-111-1-1-111−3−333−3−333000000002222-2-200002222-2-20000-111-1-1-111−3−333−3−333000000002222-2-200002222-2-20000-111-1-1-111−3−333−3−33300000000
χ1422-2-22-2000022-2-22-200002222-2-2-2-2000000000000000022-2-22-2000022-2-22-200002222-2-2-2-2000000000000000022-2-22-2000022-2-22-200002222-2-2-2-2000000000000000022-2-22-2000022-2-22-200002222-2-2-2-20000000000000000
χ1522-2-22-2000022-2-22-20000-1-1-1-1111133−3−3−3−3330000000022-2-22-2000022-2-22-20000-1-1-1-1111133−3−3−3−3330000000022-2-22-2000022-2-22-20000-1-1-1-1111133−3−3−3−3330000000022-2-22-2000022-2-22-20000-1-1-1-1111133−3−3−3−33300000000
χ1622-2-22-2000022-2-22-20000-1-1-1-11111−3−33333−3−30000000022-2-22-2000022-2-22-20000-1-1-1-11111−3−33333−3−30000000022-2-22-2000022-2-22-20000-1-1-1-11111−3−33333−3−30000000022-2-22-2000022-2-22-20000-1-1-1-11111−3−33333−3−300000000
χ1722-2-2-2222-2-222-2-2-2222-2-2-111-111-1-1-1-1-1-111110000000022-2-2-2222-2-222-2-2-2222-2-2-111-111-1-1-1-1-1-111110000000022-2-2-2222-2-222-2-2-2222-2-2-111-111-1-1-1-1-1-111110000000022-2-2-2222-2-222-2-2-2222-2-2-111-111-1-1-1-1-1-1111100000000
χ1822-2-2-22-2-22222-2-2-22-2-222-111-111-1-11111-1-1-1-10000000022-2-2-22-2-22222-2-2-22-2-222-111-111-1-11111-1-1-1-10000000022-2-2-22-2-22222-2-2-22-2-222-111-111-1-11111-1-1-1-10000000022-2-2-22-2-22222-2-2-22-2-222-111-111-1-11111-1-1-1-100000000
χ192-22i−2i002−2−i2i22-22i−2i002−2−i2i2200-22i−2i002−22−2−i2i2−i2i2000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2200-22i−2i002−22−2−i2i2−i2i2000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2200-22i−2i002−22−2−i2i2−i2i2000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2200-22i−2i002−22−2−i2i2−i2i200000000
χ202-22i−2i002−2−i2i22-22i−2i002−2−i2i2-1−i3i31−ii3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2-1−i3i31−ii3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2-1−i3i31−ii3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2-1−i3i31−ii3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ212-22i−2i002−2−i2i22-22i−2i002−2−i2i2-1i3−i31−ii−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2-1i3−i31−ii−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2-1i3−i31−ii−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-22i−2i002−2−i2i22-22i−2i002−2−i2i2-1i3−i31−ii−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ222-22i−2i00−22i2−i22-22i−2i00−22i2−i2200-22i−2i00−22−22i2−i2i2−i2000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2200-22i−2i00−22−22i2−i2i2−i2000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2200-22i−2i00−22−22i2−i2i2−i2000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2200-22i−2i00−22−22i2−i2i2−i200000000
χ232-22i−2i00−22i2−i22-22i−2i00−22i2−i2-1−i3i31−ii3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2-1−i3i31−ii3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2-1−i3i31−ii3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2-1−i3i31−ii3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ242-22i−2i00−22i2−i22-22i−2i00−22i2−i2-1i3−i31−ii−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2-1i3−i31−ii−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2-1i3−i31−ii−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-22i−2i00−22i2−i22-22i−2i00−22i2−i2-1i3−i31−ii−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ252-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2200-2−2i2i002−22−2i2−i2i2−i2000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2200-2−2i2i002−22−2i2−i2i2−i2000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2200-2−2i2i002−22−2i2−i2i2−i2000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2200-2−2i2i002−22−2i2−i2i2−i200000000
χ262-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2-1−i3i31i−i−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2-1−i3i31i−i−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2-1−i3i31i−i−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2-1−i3i31i−i−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ272-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2-1i3−i31i−i3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2-1i3−i31i−i3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2-1i3−i31i−i3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2−2i2i002−2i2−i22-2−2i2i002−2i2−i2-1i3−i31i−i3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ282-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2200-2−2i2i00−22−22−i2i2−i2i2000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2200-2−2i2i00−22−22−i2i2−i2i2000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2200-2−2i2i00−22−22−i2i2−i2i2000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2200-2−2i2i00−22−22−i2i2−i2i200000000
χ292-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2-1−i3i31i−i−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2-1−i3i31i−i−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2-1−i3i31i−i−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2-1−i3i31i−i−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ302-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2-1i3−i31i−i3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2-1i3−i31i−i3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2-1i3−i31i−i3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2−2i2i00−22−i2i22-2−2i2i00−22−i2i2-1i3−i31i−i3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ313333333333-1-1-1-1-1-1-1-1-1-100000000000000001111-1-1-1-13333333333-1-1-1-1-1-1-1-1-1-100000000000000001111-1-1-1-13333333333-1-1-1-1-1-1-1-1-1-100000000000000001111-1-1-1-13333333333-1-1-1-1-1-1-1-1-1-100000000000000001111-1-1-1-1
χ323333333333-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-111113333333333-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-111113333333333-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-111113333333333-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-11111
χ33333333-3-3-3-3-1-1-1-1-1-11111000000000000000011-1-1-1-111333333-3-3-3-3-1-1-1-1-1-11111000000000000000011-1-1-1-111333333-3-3-3-3-1-1-1-1-1-11111000000000000000011-1-1-1-111333333-3-3-3-3-1-1-1-1-1-11111000000000000000011-1-1-1-111
χ34333333-3-3-3-3-1-1-1-1-1-111110000000000000000-1-11111-1-1333333-3-3-3-3-1-1-1-1-1-111110000000000000000-1-11111-1-1333333-3-3-3-3-1-1-1-1-1-111110000000000000000-1-11111-1-1333333-3-3-3-3-1-1-1-1-1-111110000000000000000-1-11111-1-1
χ3533-3-3-3333-3-3-1-1111-1-1-1110000000000000000i−ii−i−ii−ii33-3-3-3333-3-3-1-1111-1-1-1110000000000000000i−ii−i−ii−ii33-3-3-3333-3-3-1-1111-1-1-1110000000000000000i−ii−i−ii−ii33-3-3-3333-3-3-1-1111-1-1-1110000000000000000i−ii−i−ii−ii
χ3633-3-3-3333-3-3-1-1111-1-1-1110000000000000000−ii−iii−ii−i33-3-3-3333-3-3-1-1111-1-1-1110000000000000000−ii−iii−ii−i33-3-3-3333-3-3-1-1111-1-1-1110000000000000000−ii−iii−ii−i33-3-3-3333-3-3-1-1111-1-1-1110000000000000000−ii−iii−ii−i
χ3733-3-3-33-3-333-1-1111-111-1-10000000000000000i−i−ii−iii−i33-3-3-33-3-333-1-1111-111-1-10000000000000000i−i−ii−iii−i33-3-3-33-3-333-1-1111-111-1-10000000000000000i−i−ii−iii−i33-3-3-33-3-333-1-1111-111-1-10000000000000000i−i−ii−iii−i
χ3833-3-3-33-3-333-1-1111-111-1-10000000000000000−iii−ii−i−ii33-3-3-33-3-333-1-1111-111-1-10000000000000000−iii−ii−i−ii33-3-3-33-3-333-1-1111-111-1-10000000000000000−iii−ii−i−ii33-3-3-33-3-333-1-1111-111-1-10000000000000000−iii−ii−i−ii
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χ46111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ47111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ48111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4911-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1i−ii−ii−ii−i11-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1i−ii−ii−ii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ5011-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1−ii−ii−ii−ii11-1-1-1111-1-111-1-1-1111-1-11-1-11-1-1111111-1-1-1-1−ii−ii−ii−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22
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χ5211-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111−iii−i−iii−i11-1-1-11-1-11111-1-1-11-1-1111-1-11-1-111-1-1-1-11111−iii−i−iii−i−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22
χ5322222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
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χ10522-2-2-2222-2-222-2-2-2222-2-2-111-111-1-1-1-1-1-111110000000022-2-2-2222-2-222-2-2-2222-2-2-111-111-1-1-1-1-1-1111100000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
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χ17418-1818i−18i00−92929i2−9i2-66−6i6i0032−32−3i23i2000000000000000000000000-66−6i6i0032−32−3i23i22-22i−2i00−22i2−i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17518-18−18i18i0092−929i2−9i2-666i−6i00−3232−3i23i2000000000000000000000000-666i−6i00−3232−3i23i22-2−2i2i002−2i2−i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17618-18−18i18i00−9292−9i29i2-666i−6i0032−323i2−3i2000000000000000000000000-666i−6i0032−323i2−3i22-2−2i2i00−22−i2i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.