Finite Group Databasebeta

← Group #10693697

Character table — Group #10693697

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222222222224444444444444444444444444444448888888888888888888888881212121212121212121212121212121248484848
order122244442234444446666666888888881212121212121212448888121212121212121224242424242424242424242424242424444488881212121212121212242424242424242488888888888888884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-111-1-1111-1-1111-1-1iiii−i−i−i−i11-1-1-1-1111-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-11-1i−i
χ101111-1-1-1-1-1-111-1-1111-1-1111-1-1iiii−i−i−i−i11-1-1-1-1111-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii-1-1-1-11111-11−ii
χ111111-1-1-1-1-1-111-1-1111-1-1111-1-1iiii−i−i−i−i11-1-1-1-1111-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i1111-1-1-1-1-11−ii
χ121111-1-1-1-1-1-111-1-1111-1-1111-1-1iiii−i−i−i−i11-1-1-1-1111-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii-1-1-1-111111-1i−i
χ131111-1-1-1-1-1-111-1-1111-1-1111-1-1−i−i−i−iiiii11-1-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i-1-1-1-111111-1−ii
χ141111-1-1-1-1-1-111-1-1111-1-1111-1-1−i−i−i−iiiii11-1-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii−i−iii1111-1-1-1-1-11i−i
χ151111-1-1-1-1-1-111-1-1111-1-1111-1-1−i−i−i−iiiii11-1-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i-1-1-1-11111-11i−i
χ161111-1-1-1-1-1-111-1-1111-1-1111-1-1−i−i−i−iiiii11-1-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-11-1−ii
χ17222222222222-2-22-2-222222220000000022222222-2-20000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002222-2-2-2-2000000000000
χ18222222222222-2-22-2-222222220000000022222222-2-20000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-22222000000000000
χ192222222222-1222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ202222222222-1222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ212222222222-1222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ222222222222-1222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ2322222222-2-22-222-222-2-2222-2-222222222-2-22222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ2422222222-2-22-222-222-2-2222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2522222222-2-22-2-2-2-2-2-2-2-2222-2-200000000-2-22222-2-2220000-2-22222-2-20000000000000000000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i0000
χ2622222222-2-22-2-2-2-2-2-2-2-2222-2-200000000-2-22222-2-2220000-2-22222-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000
χ2722222222-2-2-1-222-22211-1-1-1112222222211-1-1-1-111-2-2-2-2-2-2-1-11111-1-1-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−300000000000000000000
χ2822222222-2-2-1-222-22211-1-1-1112222222211-1-1-1-111-2-2-2-2-2-2-1-11111-1-1-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−33300000000000000000000
χ2922222222-2-2-1-222-22211-1-1-111-2-2-2-2-2-2-2-211-1-1-1-111-2-22222-1-11111-1-11111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−33300000000000000000000
χ3022222222-2-2-1-222-22211-1-1-111-2-2-2-2-2-2-2-211-1-1-1-111-2-22222-1-11111-1-11111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−300000000000000000000
χ312222-2-2-2-2222-222-2-2-2222222200000000-2-2-2-2-2-2-2-22-20000-2-222-2-2220000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000
χ322222-2-2-2-2222-222-2-2-2222222200000000-2-2-2-2-2-2-2-22-20000-2-222-2-222000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000
χ332222-2-2-2-2222-2-2-2-22222222222i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-2-2-2-22−2i−2i2i2i22-2-222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ342222-2-2-2-2222-2-2-2-2222222222−2i−2i−2i−2i2i2i2i2i-2-2-2-2-2-2-2-2-222i2i−2i−2i22-2-222-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ352222-2-2-2-222-1-2-2-2-222-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i11111111-22−2i−2i2i2i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−300000000000000000000
χ362222-2-2-2-222-1-2-2-2-222-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i11111111-22−2i−2i2i2i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−33300000000000000000000
χ372222-2-2-2-222-1-2-2-2-222-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i11111111-222i2i−2i−2i-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−33300000000000000000000
χ382222-2-2-2-222-1-2-2-2-222-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i11111111-222i2i−2i−2i-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−300000000000000000000
χ392222-2-2-2-2-2-222222-2-2-2-2222-2-20000000022-2-2-2-222-220000-2-2-2-2222200000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ402222-2-2-2-2-2-222222-2-2-2-2222-2-20000000022-2-2-2-222-220000-2-2-2-222220000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ412222-2-2-2-2-2-2-12-2-222211-1-1-1112i2i2i2i−2i−2i−2i−2i-1-11111-1-12-22i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-1111100000000000000000000
χ422222-2-2-2-2-2-2-12-2-222211-1-1-1112i2i2i2i−2i−2i−2i−2i-1-11111-1-12-22i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-100000000000000000000
χ432222-2-2-2-2-2-2-12-2-222211-1-1-111−2i−2i−2i−2i2i2i2i2i-1-11111-1-12-2−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-100000000000000000000
χ442222-2-2-2-2-2-2-12-2-222211-1-1-111−2i−2i−2i−2i2i2i2i2i-1-11111-1-12-2−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-1111100000000000000000000
χ4522-2-222-2-22-22200-200222-2-2-2-222−2−222−2−22222-2-2-2-2002−22−20000000022−2−222−2−222−2−222−2−20000000000000000000000002-22-200002−22−22−22−20000
χ4622-2-222-2-22-22200-200222-2-2-2-222−2−222−2−22222-2-2-2-2002−22−20000000022−2−222−2−222−2−222−2−2000000000000000000000000-22-220000−22−22−22−220000
χ4722-2-222-2-22-22200-200222-2-2-2-2−2−222−2−2222222-2-2-2-200−22−2200000000−2−222−2−222−2−222−2−2220000000000000000000000002-22-20000−22−22−22−220000
χ4822-2-222-2-22-22200-200222-2-2-2-2−2−222−2−2222222-2-2-2-200−22−2200000000−2−222−2−222−2−222−2−222000000000000000000000000-22-2200002−22−22−22−20000
χ4922-2-222-2-2-222-200200-2-22-2-22222−2−222−2−2-2-222-2-22200−22−220000000022−2−2−2−22222−2−2−2−22200000000000000000000000000002i−2i2i−2i−i2i2i2−i2−i2i2i2−i20000
χ5022-2-222-2-2-222-200200-2-22-2-22222−2−222−2−2-2-222-2-22200−22−220000000022−2−2−2−22222−2−2−2−2220000000000000000000000000000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i20000
χ5122-2-222-2-2-222-200200-2-22-2-222−2−222−2−222-2-222-2-222002−22−200000000−2−22222−2−2−2−22222−2−200000000000000000000000000002i−2i2i−2ii2−i2−i2i2i2−i2−i2i20000
χ5222-2-222-2-2-222-200200-2-22-2-222−2−222−2−222-2-222-2-222002−22−200000000−2−22222−2−2−2−22222−2−20000000000000000000000000000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i20000
χ5322-2-2-2-2222-22-200200222-2-2-2-2−i2−i2i2i2i2i2−i2−i2-2-2-2-2222200i2−i2−i2i200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000002-2-22−i2i2i2−i2i2−i2−i2i20000
χ5422-2-2-2-2222-22-200200222-2-2-2-2−i2−i2i2i2i2i2−i2−i2-2-2-2-2222200i2−i2−i2i200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000000000000000-222-2i2−i2−i2i2−i2i2i2−i20000
χ5522-2-2-2-2222-22-200200222-2-2-2-2i2i2−i2−i2−i2−i2i2i2-2-2-2-2222200−i2i2i2−i200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000002-2-22i2−i2−i2i2−i2i2i2−i20000
χ5622-2-2-2-2222-22-200200222-2-2-2-2i2i2−i2−i2−i2−i2i2i2-2-2-2-2222200−i2i2i2−i200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000000000000000-222-2−i2i2i2−i2i2−i2−i2i20000
χ5722-2-2-2-222-222200-200-2-22-2-222−i2−i2i2i2i2i2−i2−i222-2-222-2-200−i2i2i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000002i−2i−2i2i0000−22−222−22−20000
χ5822-2-2-2-222-222200-200-2-22-2-222−i2−i2i2i2i2i2−i2−i222-2-222-2-200−i2i2i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−2i2i2i−2i00002−22−2−22−220000
χ5922-2-2-2-222-222200-200-2-22-2-222i2i2−i2−i2−i2−i2i2i222-2-222-2-200i2−i2−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000002i−2i−2i2i00002−22−2−22−220000
χ6022-2-2-2-222-222200-200-2-22-2-222i2i2−i2−i2−i2−i2i2i222-2-222-2-200i2−i2−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−2i2i2i−2i0000−22−222−22−20000
χ612-22-22i−2i2i−2i00202i−2i02-200-22-2002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i000000002-200002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300001+i−1−i1−i−1+i2−2−i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i200000000000000000000
χ622-22-22i−2i2i−2i00202i−2i02-200-22-2002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i000000002-200002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000−1−i1+i−1+i1−i−22i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i200000000000000000000
χ632-22-22i−2i2i−2i00202i−2i02-200-22-200−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13002i−2i2i−2i000000002-200002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300001+i−1−i1−i−1+i−22i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22i2−i2i2−i200000000000000000000
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χ1064-4-444i−4i−4i4i00-2000000−2i32i322-22i3−2i3−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i23−23−2i2i2i−2i−2323000000000000001+i−1−i−1−i1+i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ221−i−1+i−1+i1−iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000000000000000000000000000000000000000000
χ1074-4-444i−4i−4i4i00-20000002i3−2i322-2−2i32i32+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i−2323−2i2i2i−2i23−2300000000000000−1−i1+i1+i−1−i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−1+i1−i1−i−1+iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000000000000000000000000000000000000000000
χ1084-4-444i−4i−4i4i00-20000002i3−2i322-2−2i32i3−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i−2323−2i2i2i−2i23−23000000000000001+i−1−i−1−i1+iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ221−i−1+i−1+i1−i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200000000000000000000000000000000000000000000
χ1094-4-44−4i4i4i−4i00400000000-4-44002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i00−4i4i4i−4i00000000000000002−2i−2+2i−2+2i2−2i00002+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000000000
χ1104-4-44−4i4i4i−4i00400000000-4-4400−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i00−4i4i4i−4i0000000000000000−2+2i2−2i2−2i−2+2i0000−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000000000
χ1114-4-44−4i4i4i−4i00-2000000−2i32i322-22i3−2i32−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i−23232i−2i−2i2i23−2300000000000000−1+i1−i1−i−1+iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−1−i1+i1+i−1−i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000000000000000000000000000000000000000
χ1124-4-44−4i4i4i−4i00-2000000−2i32i322-22i3−2i3−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i−23232i−2i−2i2i23−23000000000000001−i−1+i−1+i1−i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ221+i−1−i−1−i1+iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i00-20000002i3−2i322-2−2i32i32−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i23−232i−2i−2i2i−232300000000000000−1+i1−i1−i−1+i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−1−i1+i1+i−1−iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i00-20000002i3−2i322-2−2i32i3−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i23−232i−2i−2i2i−2323000000000000001−i−1+i−1+i1−iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ221+i−1−i−1−i1+i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000000000000000000000000000000000000000

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