Finite Group Databasebeta

← Group #11781336

Character table — Group #11781336

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171
size111122222222222222224444444444444448888888888881212121212121212484811112222222222222222444444444444444888888888888121212121212121248481111222222222222222244444444444444488888888888812121212121212124848
order1222344446668888121212124881212121224242424242424248888242424242424242422448888443666312121212666242424241212121212242412121212242424242424242424242424242424242424242466121224242424121236663121212126662424242412121212122424121212122424242424242424242424242424242424242424661212242424241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1
χ6111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11
χ7111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11
χ8111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1
χ9222222-2-222222222-2-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000222222-2-222222222-2-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000222222-2-222222222-2-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000
χ10222222-2-22222-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000222222-2-22222-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000222222-2-22222-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000
χ1122222-222-222200002222-200-2-2-2-20000000000000000000022-2-200000022222-222-222200002222-200-2-2-2-20000000000000000000022-2-200000022222-222-222200002222-200-2-2-2-20000000000000000000022-2-2000000
χ1222222-222-222200002222-200-2-2-2-200000000000000000000-2-22200000022222-222-222200002222-200-2-2-2-200000000000000000000-2-22200000022222-222-222200002222-200-2-2-2-200000000000000000000-2-222000000
χ1322222-2-2-2-22220000-2-2-2-220022-2-20000000000000000000000002i2i−2i−2i0022222-2-2-2-22220000-2-2-2-220022-2-20000000000000000000000002i2i−2i−2i0022222-2-2-2-22220000-2-2-2-220022-2-20000000000000000000000002i2i−2i−2i00
χ1422222-2-2-2-22220000-2-2-2-220022-2-2000000000000000000000000−2i−2i2i2i0022222-2-2-2-22220000-2-2-2-220022-2-2000000000000000000000000−2i−2i2i2i0022222-2-2-2-22220000-2-2-2-220022-2-2000000000000000000000000−2i−2i2i2i00
χ152222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ162222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000002222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000002222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ172222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000002222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000002222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-11111111122-2-2-1-1-1-111110000000000
χ182222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000002222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000002222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-111111111-2-2221111-1-1-1-10000000000
χ192222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-11111000033−3−333−3−300000000002222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-11111000033−3−333−3−300000000002222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-11111000033−3−333−3−30000000000
χ202222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-111110000−3−333−3−33300000000002222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-111110000−3−333−3−33300000000002222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-111110000−3−333−3−3330000000000
χ212222-12-2-22-1-1-1-2-2-2-21111-22211-1-11111-1-1-1-1000033−3−3−3−33300000000002222-12-2-22-1-1-1-2-2-2-21111-22211-1-11111-1-1-1-1000033−3−3−3−33300000000002222-12-2-22-1-1-1-2-2-2-21111-22211-1-11111-1-1-1-1000033−3−3−3−3330000000000
χ222222-12-2-22-1-1-1-2-2-2-21111-22211-1-11111-1-1-1-10000−3−33333−3−300000000002222-12-2-22-1-1-1-2-2-2-21111-22211-1-11111-1-1-1-10000−3−33333−3−300000000002222-12-2-22-1-1-1-2-2-2-21111-22211-1-11111-1-1-1-10000−3−33333−3−30000000000
χ232-22-2202-202-2-2−i2−i2i2i222-2-20−i2i20000−i2−i2i2i2−i2−i2i2i20000000000002-200−i2i2−i2i2002-22-2202-202-2-2−i2−i2i2i222-2-20−i2i20000−i2−i2i2i2−i2−i2i2i20000000000002-200−i2i2−i2i2002-22-2202-202-2-2−i2−i2i2i222-2-20−i2i20000−i2−i2i2i2−i2−i2i2i20000000000002-200−i2i2−i2i200
χ242-22-2202-202-2-2−i2−i2i2i222-2-20−i2i20000−i2−i2i2i2−i2−i2i2i2000000000000-2200i2−i2i2−i2002-22-2202-202-2-2−i2−i2i2i222-2-20−i2i20000−i2−i2i2i2−i2−i2i2i2000000000000-2200i2−i2i2−i2002-22-2202-202-2-2−i2−i2i2i222-2-20−i2i20000−i2−i2i2i2−i2−i2i2i2000000000000-2200i2−i2i2−i200
χ252-22-2202-202-2-2i2i2−i2−i222-2-20i2−i20000i2i2−i2−i2i2i2−i2−i20000000000002-200i2−i2i2−i2002-22-2202-202-2-2i2i2−i2−i222-2-20i2−i20000i2i2−i2−i2i2i2−i2−i20000000000002-200i2−i2i2−i2002-22-2202-202-2-2i2i2−i2−i222-2-20i2−i20000i2i2−i2−i2i2i2−i2−i20000000000002-200i2−i2i2−i200
χ262-22-2202-202-2-2i2i2−i2−i222-2-20i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000-2200−i2i2−i2i2002-22-2202-202-2-2i2i2−i2−i222-2-20i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000-2200−i2i2−i2i2002-22-2202-202-2-2i2i2−i2−i222-2-20i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000-2200−i2i2−i2i200
χ272-22-220-2202-2-2−i2−i2i2i2-2-2220i2−i20000−i2−i2i2i2i2i2−i2−i2000000000000002i−2i2−2−22002-22-220-2202-2-2−i2−i2i2i2-2-2220i2−i20000−i2−i2i2i2i2i2−i2−i2000000000000002i−2i2−2−22002-22-220-2202-2-2−i2−i2i2i2-2-2220i2−i20000−i2−i2i2i2i2i2−i2−i2000000000000002i−2i2−2−2200
χ282-22-220-2202-2-2−i2−i2i2i2-2-2220i2−i20000−i2−i2i2i2i2i2−i2−i200000000000000−2i2i−222−2002-22-220-2202-2-2−i2−i2i2i2-2-2220i2−i20000−i2−i2i2i2i2i2−i2−i200000000000000−2i2i−222−2002-22-220-2202-2-2−i2−i2i2i2-2-2220i2−i20000−i2−i2i2i2i2i2−i2−i200000000000000−2i2i−222−200
χ292-22-220-2202-2-2i2i2−i2−i2-2-2220−i2i20000i2i2−i2−i2−i2−i2i2i2000000000000002i−2i−222−2002-22-220-2202-2-2i2i2−i2−i2-2-2220−i2i20000i2i2−i2−i2−i2−i2i2i2000000000000002i−2i−222−2002-22-220-2202-2-2i2i2−i2−i2-2-2220−i2i20000i2i2−i2−i2−i2−i2i2i2000000000000002i−2i−222−200
χ302-22-220-2202-2-2i2i2−i2−i2-2-2220−i2i20000i2i2−i2−i2−i2−i2i2i200000000000000−2i2i2−2−22002-22-220-2202-2-2i2i2−i2−i2-2-2220−i2i20000i2i2−i2−i2−i2−i2i2i200000000000000−2i2i2−2−22002-22-220-2202-2-2i2i2−i2−i2-2-2220−i2i20000i2i2−i2−i2−i2−i2i2i200000000000000−2i2i2−2−2200
χ312-2-222200-2-22-22i−2i2i−2i0000000002-22i−2i2i−2i0000−i2i22−2−i2i2−i2i22−22−200000000002-2-222200-2-22-22i−2i2i−2i0000000002-22i−2i2i−2i0000−i2i22−2−i2i2−i2i22−22−200000000002-2-222200-2-22-22i−2i2i−2i0000000002-22i−2i2i−2i0000−i2i22−2−i2i2−i2i22−22−20000000000
χ322-2-222200-2-22-22i−2i2i−2i0000000002-22i−2i2i−2i0000i2−i2−22i2−i2i2−i2−22−2200000000002-2-222200-2-22-22i−2i2i−2i0000000002-22i−2i2i−2i0000i2−i2−22i2−i2i2−i2−22−2200000000002-2-222200-2-22-22i−2i2i−2i0000000002-22i−2i2i−2i0000i2−i2−22i2−i2i2−i2−22−220000000000
χ332-2-222200-2-22-2−2i2i−2i2i0000000002-2−2i2i−2i2i0000−i2i2−22−i2i2−i2i2−22−2200000000002-2-222200-2-22-2−2i2i−2i2i0000000002-2−2i2i−2i2i0000−i2i2−22−i2i2−i2i2−22−2200000000002-2-222200-2-22-2−2i2i−2i2i0000000002-2−2i2i−2i2i0000−i2i2−22−i2i2−i2i2−22−220000000000
χ342-2-222200-2-22-2−2i2i−2i2i0000000002-2−2i2i−2i2i0000i2−i22−2i2−i2i2−i22−22−200000000002-2-222200-2-22-2−2i2i−2i2i0000000002-2−2i2i−2i2i0000i2−i22−2i2−i2i2−i22−22−200000000002-2-222200-2-22-2−2i2i−2i2i0000000002-2−2i2i−2i2i0000i2−i22−2i2−i2i2−i22−22−20000000000
χ352-2-22-1200-21-112i−2i2i−2i3−33−30003−3-11−ii−ii−i3i3−i3i3−i2i22−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000002-2-22-1200-21-112i−2i2i−2i3−33−30003−3-11−ii−ii−i3i3−i3i3−i2i22−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000002-2-22-1200-21-112i−2i2i−2i3−33−30003−3-11−ii−ii−i3i3−i3i3−i2i22−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ362-2-22-1200-21-112i−2i2i−2i3−33−30003−3-11−ii−ii−i3i3−i3i3i2−i2−22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000002-2-22-1200-21-112i−2i2i−2i3−33−30003−3-11−ii−ii−i3i3−i3i3i2−i2−22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000002-2-22-1200-21-112i−2i2i−2i3−33−30003−3-11−ii−ii−i3i3−i3i3i2−i2−22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ372-2-22-1200-21-112i−2i2i−2i−33−33000−33-11−ii−iii3−i3i3−i3−i2i22−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000002-2-22-1200-21-112i−2i2i−2i−33−33000−33-11−ii−iii3−i3i3−i3−i2i22−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000002-2-22-1200-21-112i−2i2i−2i−33−33000−33-11−ii−iii3−i3i3−i3−i2i22−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ382-2-22-1200-21-112i−2i2i−2i−33−33000−33-11−ii−iii3−i3i3−i3i2−i2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000002-2-22-1200-21-112i−2i2i−2i−33−33000−33-11−ii−iii3−i3i3−i3i2−i2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000002-2-22-1200-21-112i−2i2i−2i−33−33000−33-11−ii−iii3−i3i3−i3i2−i2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ392-2-22-1200-21-11−2i2i−2i2i3−33−30003−3-11i−ii−ii3−i3i3−i3−i2i2−22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000002-2-22-1200-21-11−2i2i−2i2i3−33−30003−3-11i−ii−ii3−i3i3−i3−i2i2−22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000002-2-22-1200-21-11−2i2i−2i2i3−33−30003−3-11i−ii−ii3−i3i3−i3−i2i2−22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
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χ722222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000000
χ732222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000
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χ752222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-111111111-2-2221111-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000
χ762222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-11111000033−3−333−3−30000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220000000000
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χ122111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1−1−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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+i321−i32
χ123222222-2-222222222-2-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000000000
χ124222222-2-22222-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i30000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i30000000000000000000000
χ12522222-222-222200002222-200-2-2-2-20000000000000000000022-2-2000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i30000−1−i3−1−i3−1−i3−1−i31+i3001+i31+i31+i31+i300000000000000000000−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i30000−1+i3−1+i3−1+i3−1+i31−i3001−i31−i31−i31−i300000000000000000000−1+i3−1+i31−i31−i3000000
χ12622222-222-222200002222-200-2-2-2-200000000000000000000-2-222000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i30000−1−i3−1−i3−1−i3−1−i31+i3001+i31+i31+i31+i3000000000000000000001+i31+i3−1−i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i30000−1+i3−1+i3−1+i3−1+i31−i3001−i31−i31−i31−i3000000000000000000001−i31−i3−1+i3−1+i3000000
χ12722222-2-2-2-22220000-2-2-2-220022-2-20000000000000000000000002i2i−2i−2i00−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i300001+i31+i31+i31+i3−1−i300−1−i3−1−i31+i31+i30000000000000000000000002ζ222ζ22−2ζ22−2ζ2200−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i300001−i31−i31−i31−i3−1+i300−1+i3−1+i31−i31−i30000000000000000000000002ζ142ζ14−2ζ14−2ζ1400
χ12822222-2-2-2-22220000-2-2-2-220022-2-2000000000000000000000000−2i−2i2i2i00−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i300001+i31+i31+i31+i3−1−i300−1−i3−1−i31+i31+i3000000000000000000000000−2ζ22−2ζ222ζ222ζ2200−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i300001−i31−i31−i31−i3−1+i300−1+i3−1+i31−i31−i3000000000000000000000000−2ζ14−2ζ142ζ142ζ1400
χ1292222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000000
χ1302222-12222-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000
χ1312222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-11111111122-2-2-1-1-1-111110000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000
χ1322222-12222-1-1-1-2-2-2-2-1-1-1-12-2-2-1-1-1-111111111-2-2221111-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000
χ1332222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-11111000033−3−333−3−30000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000000000
χ1342222-12-2-22-1-1-122221111-2-2-211-1-1-1-1-1-111110000−3−333−3−3330000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000000000
χ1352222-12-2-22-1-1-1-2-2-2-21111-22211-1-11111-1-1-1-1000033−3−3−3−3330000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000000000
χ1362222-12-2-22-1-1-1-2-2-2-21111-22211-1-11111-1-1-1-10000−3−33333−3−30000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000000000
χ1372-22-2202-202-2-2−i2−i2i2i222-2-20−i2i20000−i2−i2i2i2−i2−i2i2i20000000000002-200−i2i2−i2i200−1−i31+i3−1−i31+i3−1−i30−1−i31+i30−1−i31+i31+i3ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−1−i3−1−i31+i31+i30ζ7+ζ13−ζ7−ζ130000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13000000000000−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300−1+i31−i3−1+i31−i3−1+i30−1+i31−i30−1+i31−i31−i3ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−1+i3−1+i31−i31−i30ζ5+ζ23−ζ5−ζ230000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23000000000000−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300
χ1382-22-2202-202-2-2−i2−i2i2i222-2-20−i2i20000−i2−i2i2i2−i2−i2i2i2000000000000-2200i2−i2i2−i200−1−i31+i3−1−i31+i3−1−i30−1−i31+i30−1−i31+i31+i3ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−1−i3−1−i31+i31+i30ζ7+ζ13−ζ7−ζ130000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ130000000000001+i3−1−i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300−1+i31−i3−1+i31−i3−1+i30−1+i31−i30−1+i31−i31−i3ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−1+i3−1+i31−i31−i30ζ5+ζ23−ζ5−ζ230000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ230000000000001−i3−1+i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300
χ1392-22-2202-202-2-2i2i2−i2−i222-2-20i2−i20000i2i2−i2−i2i2i2−i2−i20000000000002-200i2−i2i2−i200−1−i31+i3−1−i31+i3−1−i30−1−i31+i30−1−i31+i31+i3−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−1−i3−1−i31+i31+i30−ζ7−ζ13ζ7+ζ130000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13000000000000−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300−1+i31−i3−1+i31−i3−1+i30−1+i31−i30−1+i31−i31−i3−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−1+i3−1+i31−i31−i30−ζ5−ζ23ζ5+ζ230000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23000000000000−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300
χ1402-22-2202-202-2-2i2i2−i2−i222-2-20i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000-2200−i2i2−i2i200−1−i31+i3−1−i31+i3−1−i30−1−i31+i30−1−i31+i31+i3−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−1−i3−1−i31+i31+i30−ζ7−ζ13ζ7+ζ130000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ130000000000001+i3−1−i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300−1+i31−i3−1+i31−i3−1+i30−1+i31−i30−1+i31−i31−i3−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−1+i3−1+i31−i31−i30−ζ5−ζ23ζ5+ζ230000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ230000000000001−i3−1+i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.