Finite Group Databasebeta

← Group #11920413

Character table — Group #11920413

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order1244234612122244246661212122466121299918181836363636363624666121212181818181818181818363636363636363636888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-11-1-11-1-1111111111111111111-1-11-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111-1-11-1-11-1-1111111111111111111-1-11-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-1111-1-111-1-11-1-1111-1-1-1111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-11-11-1
χ611-1-1-1111-1-111-1-11-1-1111-1-1-1111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-11-11
χ711-1-1-1111-1-111-1-1-11-1-1-1111-1111-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-11-11
χ811-1-1-1111-1-111-1-1-11-1-1-1111-1111-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-11-1
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222222222-2-22-2-22-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-22-2-2-1-1-1111111-1-1-1111111000000000000
χ1122222-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6822-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000000000000
χ1222222-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6822-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000000000000
χ1322222-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5222-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000000000000
χ1422222-12-1-1-12222-2-2-111-11122-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-2-111-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68000000000000
χ1522222-12-1-1-12222-2-2-111-11122-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-2-111-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000000000
χ1622222-12-1-1-12222-2-2-111-11122-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-2-111-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000000000
χ172222-22-2222222200-200-200-2-2222222222222222200-200-200-2-2-2000000-2-2-2000000000000000000
χ182222-22-2222222200-200-200-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-200-200111−i3i3−i3i3−i3i3111−i3i3−i3i3−i3i3000000000000
χ192222-22-2222222200-200-200-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-200-200111i3−i3i3−i3i3−i3111i3−i3i3−i3i3−i3000000000000
χ202222-2-1-2-1-1-12222001−i3i31−i3i3-2-2-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68001−i3i31−i3i3−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68000000000000
χ212222-2-1-2-1-1-12222001−i3i31−i3i3-2-2-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68001−i3i31−i3i3−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68000000000000
χ222222-2-1-2-1-1-12222001−i3i31−i3i3-2-2-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52001−i3i31−i3i3ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52000000000000
χ232222-2-1-2-1-1-12222001i3−i31i3−i3-2-2-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68001i3−i31i3−i3−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68000000000000
χ242222-2-1-2-1-1-12222001i3−i31i3−i3-2-2-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68001i3−i31i3−i3−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68000000000000
χ252222-2-1-2-1-1-12222001i3−i31i3−i3-2-2-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52001i3−i31i3−i3ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4−ζ68−ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4−ζ68−ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52000000000000
χ2622-2-222-22-2-222-2-200200-2002-222-2-2222222-2-2-2-2-2-200200-200222000000-2-2-2000000000000000000
χ2722-2-222-22-2-222-2-200200-2002-222-2-2-1-1-1-1-1-111111100200-200-1-1-1−i3i3−i3i3−i3i3111i3−i3i3−i3i3−i3000000000000
χ2822-2-222-22-2-222-2-200200-2002-222-2-2-1-1-1-1-1-111111100200-200-1-1-1i3−i3i3−i3i3−i3111−i3i3−i3i3−i3i3000000000000
χ2922-2-22-1-2-11122-2-200-1−i3i31i3−i32-2-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800-1−i3i31i3−i3ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68000000000000
χ3022-2-22-1-2-11122-2-200-1−i3i31i3−i32-2-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800-1−i3i31i3−i3ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68000000000000
χ3122-2-22-1-2-11122-2-200-1−i3i31i3−i32-2-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200-1−i3i31i3−i3−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4+ζ68ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4−ζ68−ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52000000000000
χ3222-2-22-1-2-11122-2-200-1i3−i31−i3i32-2-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800-1i3−i31−i3i3ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68000000000000
χ3322-2-22-1-2-11122-2-200-1i3−i31−i3i32-2-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800-1i3−i31−i3i3ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68000000000000
χ3422-2-22-1-2-11122-2-200-1i3−i31−i3i32-2-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200-1i3−i31−i3i3−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ68−ζ4+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ68ζ4−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52000000000000
χ3522-2-2-2222-2-222-2-22-2-2222-2-2-2222-2-2-1-1-1-1-1-11111112-2-2222-2-2111-1-1-1-1-1-1-1-1-1111111000000000000
χ3622-2-2-2222-2-222-2-2-22-2-2-2222-2222-2-2-1-1-1-1-1-1111111-22-2-2-2222111111111-1-1-1-1-1-1-1-1-1000000000000
χ3722-2-2-2-12-11122-2-22-21-1-1-111-22-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ682-21-1-1-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68000000000000
χ3822-2-2-2-12-11122-2-22-21-1-1-111-22-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ682-21-1-1-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000000000
χ3922-2-2-2-12-11122-2-22-21-1-1-111-22-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ522-21-1-1-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000000000
χ4022-2-2-2-12-11122-2-2-22111-1-1-1-22-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-22111-1-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000000000000
χ4122-2-2-2-12-11122-2-2-22111-1-1-1-22-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-22111-1-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000000000000
χ4222-2-2-2-12-11122-2-2-22111-1-1-1-22-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-22111-1-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000000000000
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χ554-44i−4i040-44i−4i4-44i−4i00000000004-44i−4i-2-2-2222−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ564-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i2ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ2200000000000000000000000000000000000000
χ574-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i2ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ7000000000000000000000000000000000000000
χ584-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ7000000000000000000000000000000000000000
χ594-4−4i4i040-4−4i4i4-4−4i4i00000000004-4−4i4i-2-2-22222i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ604-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i2ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ2200000000000000000000000000000000000000
χ614-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i2ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ7000000000000000000000000000000000000000
χ624-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ7000000000000000000000000000000000000000
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χ6466666-36-3-3-3-2-2-2-2-6-6-333-333-2-21111000000000000221-1-11-1-1000000000000000000000000000000
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χ7066-6-66-3-6-333-2-22200-33i3−3i33−3i33i3-2211-1-1000000000000001−i3i3-1i3−i3000000000000000000000000000000
χ7166-6-6-6-36-333-2-2226-63-3-3-3332-211-1-1000000000000-22-1111-1-1000000000000000000000000000000
χ7266-6-6-6-36-333-2-222-66333-3-3-32-211-1-10000000000002-2-1-1-1111000000000000000000000000000000
χ736-66i−6i060-66i−6i-22−2i2i0000000000-22−2i2i000000000000000000000000000000000000002−2−i2i2−22i2−i20000
χ746-66i−6i060-66i−6i-22−2i2i0000000000-22−2i2i00000000000000000000000000000000000000−22i2−i22−2−i2i20000
χ756-6−6i6i060-6−6i6i-222i−2i0000000000-222i−2i000000000000000000000000000000000000002−2i2−i2−22−i2i20000
χ766-6−6i6i060-6−6i6i-222i−2i0000000000-222i−2i00000000000000000000000000000000000000−22−i2i22−2i2−i20000
χ7712-1212i−12i0-606−6i6i-44−4i4i00000000002-22i−2i00000000000000000000000000000000000000000000000000
χ7812-12−12i12i0-6066i−6i-444i−4i00000000002-2−2i2i00000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.