Finite Group Databasebeta

← Group #85019

Character table — Group #85019

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order1222224444888844448888882222224436666612121212242424241212121224242424242466666612123666661212121224242424121212122424242424246666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-1-1-111-1-11-11-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-11-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1
χ61111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-11
χ71111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11
χ81111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-11-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-11-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1
χ91111-1-1-1-111111111-1-1-1-111-1-11-11-111-1-11111-1-1-1-111111111-1-1-1-111-1-11-11-111-1-11111-1-1-1-111111111-1-1-1-111-1-11-11-111-1-1
χ101111-1-1-1-111111111-1-1-1-111-1-1-11-11-1-1111111-1-1-1-111111111-1-1-1-111-1-1-11-11-1-1111111-1-1-1-111111111-1-1-1-111-1-1-11-11-1-111
χ111111-1-1-1-1111111-1-111-1-1-1-1111-11-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1111-11-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1111-11-1-1-111
χ121111-1-1-1-1111111-1-111-1-1-1-111-11-1111-1-11111-1-1-1-1111111-1-111-1-1-1-111-11-1111-1-11111-1-1-1-1111111-1-111-1-1-1-111-11-1111-1-1
χ131111-1-1-1-111-1-1-1-111-1-111-1-1111-1-111-1-111111-1-1-1-111-1-1-1-111-1-111-1-1111-1-111-1-111111-1-1-1-111-1-1-1-111-1-111-1-1111-1-111-1-11
χ141111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-11111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-11111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-1
χ151111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11-111-11111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11-111-11111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11-111-1
χ161111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-11-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-11-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-11-1-11
χ17222222-2-2-2-200002-22-200000000000000222222-2-2-2-200002-22-200000000000000222222-2-2-2-200002-22-200000000000000
χ18222222-2-2-2-20000-22-2200000000000000222222-2-2-2-20000-22-2200000000000000222222-2-2-2-20000-22-2200000000000000
χ192222-2-222-2-200002-2-22000000000000002222-2-222-2-200002-2-22000000000000002222-2-222-2-200002-2-2200000000000000
χ202222-2-222-2-20000-222-2000000000000002222-2-222-2-20000-222-2000000000000002222-2-222-2-20000-222-200000000000000
χ212-2-222-22-22-200000000002-22-2000000002-2-222-22-22-200000000002-22-2000000002-2-222-22-22-200000000002-22-200000000
χ222-2-222-22-22-20000000000-22-22000000002-2-222-22-22-20000000000-22-22000000002-2-222-22-22-20000000000-22-2200000000
χ232-2-222-2-22-2222-2-200002-20000000000002-2-222-2-22-2222-2-200002-20000000000002-2-222-2-22-2222-2-200002-2000000000000
χ242-2-222-2-22-22-2-2220000-220000000000002-2-222-2-22-22-2-2220000-220000000000002-2-222-2-22-22-2-2220000-22000000000000
χ252-2-22-222-2-2222-2-20000-220000000000002-2-22-222-2-2222-2-20000-220000000000002-2-22-222-2-2222-2-20000-22000000000000
χ262-2-22-222-2-22-2-22200002-20000000000002-2-22-222-2-22-2-22200002-20000000000002-2-22-222-2-22-2-22200002-2000000000000
χ272-2-22-22-222-200000000002-2-22000000002-2-22-22-222-200000000002-2-22000000002-2-22-22-222-200000000002-2-2200000000
χ282-2-22-22-222-20000000000-222-2000000002-2-22-22-222-20000000000-222-2000000002-2-22-22-222-20000000000-222-200000000
χ2944-4-400000022−2222−2200000000000000000044-4-400000022−2222−2200000000000000000044-4-400000022−2222−22000000000000000000
χ3044-4-4000000−2222−222200000000000000000044-4-4000000−2222−222200000000000000000044-4-4000000−2222−2222000000000000000000
χ314-44-400000022−22−22220000000000000000004-44-400000022−22−22220000000000000000004-44-400000022−22−2222000000000000000000
χ324-44-4000000−222222−220000000000000000004-44-4000000−222222−220000000000000000004-44-4000000−222222−22000000000000000000
χ3311111111111111111111111111111111−1+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−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
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3511111111111111-1-1-1-111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ3611111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1+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−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ371111111111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ381111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-11−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ391111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11−1+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ401111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1−1+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ411111-1-1-1-111111111-1-1-1-111-1-11-11-111-1-1−1+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−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−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+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32
χ421111-1-1-1-111111111-1-1-1-111-1-1-11-11-1-111−1+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−i32−1+i32−1+i321−i321−i321−i32−1+i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32
χ431111-1-1-1-1111111-1-111-1-1-1-1111-11-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32
χ441111-1-1-1-1111111-1-111-1-1-1-111-11-1111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32
χ451111-1-1-1-111-1-1-1-111-1-111-1-1111-1-111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ461111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ471111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ481111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-11-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ49222222-2-2-2-200002-22-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i3−1+i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i3−1−i31+i300000000000000
χ50222222-2-2-2-20000-22-2200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i31−i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i31+i3−1−i300000000000000
χ512222-2-222-2-200002-2-2200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i31−i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i31+i3−1−i300000000000000
χ522222-2-222-2-20000-222-200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300001−i3−1+i3−1+i31−i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300001+i3−1−i3−1−i31+i300000000000000
χ532-2-222-22-22-200000000002-22-200000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i30000000000−1+i31−i3−1+i31−i300000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i30000000000−1−i31+i3−1−i31+i300000000
χ542-2-222-22-22-20000000000-22-2200000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300000000001−i3−1+i31−i3−1+i300000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300000000001+i3−1−i31+i3−1−i300000000
χ552-2-222-2-22-2222-2-200002-2000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i3000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i3000000000000
χ562-2-222-2-22-22-2-2220000-22000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i300001−i3−1+i3000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i300001+i3−1−i3000000000000
χ572-2-22-222-2-2222-2-20000-22000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i3000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i3000000000000
χ582-2-22-222-2-22-2-22200002-2000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i3000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i3000000000000
χ592-2-22-22-222-200000000002-2-2200000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i30000000000−1+i31−i31−i3−1+i300000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i30000000000−1−i31+i31+i3−1−i300000000
χ602-2-22-22-222-20000000000-222-200000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i300000000001−i3−1+i3−1+i31−i300000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i300000000001+i3−1−i3−1−i31+i300000000
χ6144-4-400000022−2222−22000000000000000000−2+2i3−2+2i32−2i32−2i30000002ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000000000000−2−2i3−2−2i32+2i32+2i3000000−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000000000000
χ6244-4-4000000−2222−2222000000000000000000−2+2i3−2+2i32−2i32−2i3000000−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000000000000−2−2i3−2−2i32+2i32+2i30000002ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000000000000
χ634-44-400000022−22−2222000000000000000000−2+2i32−2i3−2+2i32−2i30000002ζ5−2ζ23−2ζ5+2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000000000000−2−2i32+2i3−2−2i32+2i3000000−2ζ7+2ζ132ζ7−2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000000000000
χ644-44-4000000−222222−22000000000000000000−2+2i32−2i3−2+2i32−2i3000000−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000000000000−2−2i32+2i3−2−2i32+2i30000002ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000000000000
χ6511111111111111111111111111111111−1−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+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
χ66111111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ6711111111111111-1-1-1-111-1-1-1-11111-1-1-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ6811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1−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+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ691111111111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ701111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-11−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ711111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11−1−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ721111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1−1−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ731111-1-1-1-111111111-1-1-1-111-1-11-11-111-1-1−1−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+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+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−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32
χ741111-1-1-1-111111111-1-1-1-111-1-1-11-11-1-111−1−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+i32−1−i32−1−i321+i321+i321+i32−1−i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32
χ751111-1-1-1-1111111-1-111-1-1-1-1111-11-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32
χ761111-1-1-1-1111111-1-111-1-1-1-111-11-1111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32
χ771111-1-1-1-111-1-1-1-111-1-111-1-1111-1-111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ781111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ791111-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ801111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-11-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ81222222-2-2-2-200002-22-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i3−1−i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i3−1+i31−i300000000000000
χ82222222-2-2-2-20000-22-2200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i31+i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i31−i3−1+i300000000000000
χ832222-2-222-2-200002-2-2200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i31+i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i31−i3−1+i300000000000000
χ842222-2-222-2-20000-222-200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300001+i3−1−i3−1−i31+i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300001−i3−1+i3−1+i31−i300000000000000
χ852-2-222-22-22-200000000002-22-200000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i30000000000−1−i31+i3−1−i31+i300000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i30000000000−1+i31−i3−1+i31−i300000000
χ862-2-222-22-22-20000000000-22-2200000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300000000001+i3−1−i31+i3−1−i300000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300000000001−i3−1+i31−i3−1+i300000000
χ872-2-222-2-22-2222-2-200002-2000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i3000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i3000000000000
χ882-2-222-2-22-22-2-2220000-22000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i300001+i3−1−i3000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i300001−i3−1+i3000000000000
χ892-2-22-222-2-2222-2-20000-22000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i3000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i3000000000000
χ902-2-22-222-2-22-2-22200002-2000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i3000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i3000000000000
χ912-2-22-22-222-200000000002-2-2200000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i30000000000−1−i31+i31+i3−1−i300000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i30000000000−1+i31−i31−i3−1+i300000000
χ922-2-22-22-222-20000000000-222-200000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i300000000001+i3−1−i3−1−i31+i300000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i300000000001−i3−1+i3−1+i31−i300000000
χ9344-4-400000022−2222−22000000000000000000−2−2i3−2−2i32+2i32+2i3000000−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000000000000−2+2i3−2+2i32−2i32−2i30000002ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000000000000
χ9444-4-4000000−2222−2222000000000000000000−2−2i3−2−2i32+2i32+2i30000002ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000000000000−2+2i3−2+2i32−2i32−2i3000000−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000000000000
χ954-44-400000022−22−2222000000000000000000−2−2i32+2i3−2−2i32+2i3000000−2ζ7+2ζ132ζ7−2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000000000000−2+2i32−2i3−2+2i32−2i30000002ζ5−2ζ23−2ζ5+2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000000000000
χ964-44-4000000−222222−22000000000000000000−2−2i32+2i3−2−2i32+2i30000002ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000000000000−2+2i32−2i3−2+2i32−2i3000000−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000000000000

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