Finite Group Databasebeta

← Group #13167571

Character table — Group #13167571

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444448888888888888888888899991818181818181818181818181818181818181818181818181818181818181818181836363636363636367272727272727272
order122222366666663366666633666666666666666666444444888888881212121212121212242424242424242424242424242424242244444466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ51111-1-1111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111-1-1111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111-1-1111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ81111-1-1111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1
χ91-1-111-11-1-111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1-1-111-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−i1-11-11-1i−ii−i
χ101-1-111-11-1-111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1-1-111-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−ii-11-11-11−ii−ii
χ111-1-111-11-1-111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1-1-111-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii1-11-11-1−ii−ii
χ121-1-111-11-1-111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1-1-111-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i-11-11-11i−ii−i
χ131-1-11-111-1-1-1-1111111-1-1-1-1111-11-1111-1-1-1-1-1-1-1-11111-1-1111-1ii−i−i−i−iii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii-111-1-11i−i−ii
χ141-1-11-111-1-1-1-1111111-1-1-1-1111-11-1111-1-1-1-1-1-1-1-11111-1-1111-1ii−i−i−i−iii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-11−iii−i1-1-111-1−iii−i
χ151-1-11-111-1-1-1-1111111-1-1-1-1111-11-1111-1-1-1-1-1-1-1-11111-1-1111-1−i−iiiii−i−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i-111-1-11−iii−i
χ161-1-11-111-1-1-1-1111111-1-1-1-1111-11-1111-1-1-1-1-1-1-1-11111-1-1111-1−i−iiiii−i−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii1-1-111-1i−i−ii
χ17222222222222222222222222222222222222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ19222222-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ20222222-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000001111111133−3−333−3−333−3−333−3−30000000000000000
χ21222222-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000000011111111−3−333−3−333−3−333−3−3330000000000000000
χ222222-2-2222-2-2-2-222222222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-200000000-2-22222-2-200000000000000000000000000000000
χ232222-2-2-1-1-11111-122222222-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-20000000011-1-1-1-11133−3−333−3−3−3−333−3−3330000000000000000
χ242222-2-2-1-1-11111-122222222-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-20000000011-1-1-1-111−3−333−3−33333−3−333−3−30000000000000000
χ252222-2-2-1-1-11111-122222222-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ262222-2-2-1-1-11111-122222222-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ2722-2-20022-20000-222-22-22-2-2220000-2-222-2-2000000002i−2i2i−2i002−22−2−i2i2−i2i2002i−2i2i−2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ2822-2-20022-20000-222-22-22-2-2220000-2-222-2-2000000002i−2i2i−2i00−22−22i2−i2i2−i2002i−2i2i−2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ2922-2-20022-20000-222-22-22-2-2220000-2-222-2-200000000−2i2i−2i2i002−22−2i2−i2i2−i200−2i2i−2i2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ3022-2-20022-20000-222-22-22-2-2220000-2-222-2-200000000−2i2i−2i2i00−22−22−i2i2−i2i200−2i2i−2i2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ3122-2-200-1-11−i3i3−i3i3122-22-22-2-2-1-1000011-1-111−i3−i3i3i3−i3−i3i3i32i−2i2i−2i002−22−2−i2i2−i2i23−3−ii−ii3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ3222-2-200-1-11−i3i3−i3i3122-22-22-2-2-1-1000011-1-111−i3−i3i3i3−i3−i3i3i32i−2i2i−2i00−22−22i2−i2i2−i23−3−ii−ii3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ3322-2-200-1-11−i3i3−i3i3122-22-22-2-2-1-1000011-1-111−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i002−22−2i2−i2i2−i2−33i−ii−i−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ3422-2-200-1-11−i3i3−i3i3122-22-22-2-2-1-1000011-1-111−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i00−22−22−i2i2−i2i2−33i−ii−i−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ3522-2-200-1-11i3−i3i3−i3122-22-22-2-2-1-1000011-1-111i3i3−i3−i3i3i3−i3−i32i−2i2i−2i002−22−2−i2i2−i2i2−33−ii−ii−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ3622-2-200-1-11i3−i3i3−i3122-22-22-2-2-1-1000011-1-111i3i3−i3−i3i3i3−i3−i32i−2i2i−2i00−22−22i2−i2i2−i2−33−ii−ii−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ3722-2-200-1-11i3−i3i3−i3122-22-22-2-2-1-1000011-1-111i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i002−22−2i2−i2i2−i23−3i−ii−i3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ3822-2-200-1-11i3−i3i3−i3122-22-22-2-2-1-1000011-1-111i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i00−22−22−i2i2−i2i23−3i−ii−i3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ392-22-2002-220000-222-2-22-22-2220000-2-2-2-222000000002i−2i−2i2i00−i2i2i2−i2−222−2002i−2i−2i2i00−i2i2−i2i2i2−i2i2−i2−22−222−22−20000000000000000
χ402-22-2002-220000-222-2-22-22-2220000-2-2-2-222000000002i−2i−2i2i00i2−i2−i2i22−2−22002i−2i−2i2i00i2−i2i2−i2−i2i2−i2i22−22−2−22−220000000000000000
χ412-22-2002-220000-222-2-22-22-2220000-2-2-2-22200000000−2i2i2i−2i00−i2i2i2−i22−2−2200−2i2i2i−2i00−i2i2−i2i2i2−i2i2−i22−22−2−22−220000000000000000
χ422-22-2002-220000-222-2-22-22-2220000-2-2-2-22200000000−2i2i2i−2i00i2−i2−i2i2−222−200−2i2i2i−2i00i2−i2i2−i2−i2i2−i2i2−22−222−22−20000000000000000
χ432-22-200-11-1−i3i3i3−i3122-2-22-22-2-1-100001111-1-1−i3−i3i3i3i3i3−i3−i32i−2i−2i2i00−i2i2i2−i2−222−23−3−iii−i−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ442-22-200-11-1−i3i3i3−i3122-2-22-22-2-1-100001111-1-1−i3−i3i3i3i3i3−i3−i32i−2i−2i2i00i2−i2−i2i22−2−223−3−iii−i−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ452-22-200-11-1−i3i3i3−i3122-2-22-22-2-1-100001111-1-1−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i00−i2i2i2−i22−2−22−33i−i−ii3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ462-22-200-11-1−i3i3i3−i3122-2-22-22-2-1-100001111-1-1−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i00i2−i2−i2i2−222−2−33i−i−ii3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ472-22-200-11-1i3−i3−i3i3122-2-22-22-2-1-100001111-1-1i3i3−i3−i3−i3−i3i3i32i−2i−2i2i00−i2i2i2−i2−222−2−33−iii−i3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ482-22-200-11-1i3−i3−i3i3122-2-22-22-2-1-100001111-1-1i3i3−i3−i3−i3−i3i3i32i−2i−2i2i00i2−i2−i2i22−2−22−33−iii−i3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ492-22-200-11-1i3−i3−i3i3122-2-22-22-2-1-100001111-1-1i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i00−i2i2i2−i22−2−223−3i−i−ii−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ502-22-200-11-1i3−i3−i3i3122-2-22-22-2-1-100001111-1-1i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i00i2−i2−i2i2−222−23−3i−i−ii−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ512-2-222-22-2-222-2-22222-2-2-2-22222-22-222-2-2-2-22222-2-2-2-2-2-222-2200000000-2-2-2-2222200000000000000000000000000000000
χ522-2-222-2-111-1-111-1222-2-2-2-22-1-12-22-2-1-11111-1-1-1-1111122-2-22-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ532-2-222-2-111-1-111-1222-2-2-2-22-1-12-22-2-1-11111-1-1-1-1111122-2-22-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ542-2-222-2-111-1-111-1222-2-2-2-22-1-12-22-2-1-11111-1-1-1-11111-2-222-22000000001111-1-1-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ552-2-222-2-111-1-111-1222-2-2-2-22-1-12-22-2-1-11111-1-1-1-11111-2-222-22000000001111-1-1-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ562-2-22-222-2-2-2-2222222-2-2-2-2222-22-2222-2-2-2-2-2-2-2-2222222-2-2-2200000000-2-222-2-22200000000000000000000000000000000
χ572-2-22-22-11111-1-1-1222-2-2-2-22-1-1-22-22-1-111111111-1-1-1-122-2-2-220000000011-1-111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ582-2-22-22-11111-1-1-1222-2-2-2-22-1-1-22-22-1-111111111-1-1-1-122-2-2-220000000011-1-111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ592-2-22-22-11111-1-1-1222-2-2-2-22-1-1-22-22-1-111111111-1-1-1-1-2-2222-22i2i−2i−2i−2i−2i2i2i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ602-2-22-22-11111-1-1-1222-2-2-2-22-1-1-22-22-1-111111111-1-1-1-1-2-2222-2−2i−2i2i2i2i2i−2i−2i-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ61444444444444441-21-2-211-21-211-2-21-21-21-21-21-21-21-200000000000000000000000000000000000000002222000000-1-1-1-1
χ62444444444444441-21-2-211-21-211-2-21-21-21-21-21-21-21-20000000000000000000000000000000000000000-2-2-2-20000001111
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χ6444444444444444-21-211-2-21-21-2-211-21-21-21-21-21-21-2100000000000000000000000000000000000000-2-20000-2-211110000
χ654444-4-4444-4-4-4-441-21-2-211-21-2-1-1221-21-21-2-12-12-12-12000000000000000000000000000000000000000022-2-2000000-1-111
χ664444-4-4444-4-4-4-441-21-2-211-21-2-1-1221-21-21-2-12-12-12-120000000000000000000000000000000000000000-2-22200000011-1-1
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χ704-4-444-44-4-444-4-441-2122-1-1-21-21-1-221-2-12-121-21-2-12-120000000000000000000000000000000000000000−2i2i−2i2i000000i−ii−i
χ714-4-444-44-4-444-4-44-21-2-1-1221-21-221-1-212-12-1-21-212-12-1000000000000000000000000000000000000002-200002-2-11-110000
χ724-4-444-44-4-444-4-44-21-2-1-1221-21-221-1-212-12-1-21-212-12-100000000000000000000000000000000000000-220000-221-11-10000
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χ744-4-44-444-4-4-4-44441-2122-1-1-21-2-112-21-2-12-12-12-121-21-20000000000000000000000000000000000000000−2i2i2i−2i000000i−i−ii
χ754-4-44-444-4-4-4-4444-21-2-1-1221-212-2-11-212-12-12-12-1-21-21000000000000000000000000000000000000002-20000-22-111-10000
χ764-4-44-444-4-4-4-4444-21-2-1-1221-212-2-11-212-12-12-12-1-21-2100000000000000000000000000000000000000-2200002-21-1-110000
χ77888888-4-4-4-4-4-4-4-42-42-4-422-4-1222-4-4-12-12-12-12-12-12-12000000000000000000000000000000000000000000000000000000
χ78888888-4-4-4-4-4-4-4-4-42-422-4-422-1-4-4222-12-12-12-12-12-12-1000000000000000000000000000000000000000000000000000000
χ798888-8-8-4-4-44444-42-42-4-422-4-12-2-244-12-12-121-21-21-21-2000000000000000000000000000000000000000000000000000000
χ808888-8-8-4-4-44444-4-42-422-4-422-144-2-22-12-12-1-21-21-21-21000000000000000000000000000000000000000000000000000000
χ8188-8-80088-80000-82-4-2-442-242-40000-242-4-2400000000000000000000000000000000000000000000000000000000000000
χ8288-8-80088-80000-8-4242-2-44-2-4200004-2-424-200000000000000000000000000000000000000000000000000000000000000
χ8388-8-800-4-44−4i34i3−4i34i342-4-2-442-24-1200001-2-121-2−i32i3i3−2i3−i32i3i3−2i3000000000000000000000000000000000000000000000000000000
χ8488-8-800-4-44−4i34i3−4i34i34-4242-2-44-22-10000-212-1-212i3−i3−2i3i32i3−i3−2i3i3000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-444i3−4i34i3−4i342-4-2-442-24-1200001-2-121-2i3−2i3−i32i3i3−2i3−i32i3000000000000000000000000000000000000000000000000000000
χ8688-8-800-4-444i3−4i34i3−4i34-4242-2-44-22-10000-212-1-21−2i3i32i3−i3−2i3i32i3−i3000000000000000000000000000000000000000000000000000000
χ878-88-8008-880000-82-4-24-4-2242-40000-24-242-400000000000000000000000000000000000000000000000000000000000000
χ888-88-8008-880000-8-424-224-4-2-4200004-24-2-4200000000000000000000000000000000000000000000000000000000000000
χ898-88-800-44-4−4i34i34i3−4i342-4-24-4-224-1200001-21-2-12−i32i3i3−2i3i3−2i3−i32i3000000000000000000000000000000000000000000000000000000
χ908-88-800-44-4−4i34i34i3−4i34-424-224-4-22-10000-21-212-12i3−i3−2i3i3−2i3i32i3−i3000000000000000000000000000000000000000000000000000000
χ918-88-800-44-44i3−4i3−4i34i342-4-24-4-224-1200001-21-2-12i3−2i3−i32i3−i32i3i3−2i3000000000000000000000000000000000000000000000000000000
χ928-88-800-44-44i3−4i3−4i34i34-424-224-4-22-10000-21-212-1−2i3i32i3−i32i3−i3−2i3i3000000000000000000000000000000000000000000000000000000
χ938-8-888-8-444-4-444-42-4244-2-2-4-122-2-44-121-21-2-12-121-21-2000000000000000000000000000000000000000000000000000000
χ948-8-888-8-444-4-444-4-42-4-2-24422-1-442-22-1-21-212-12-1-21-21000000000000000000000000000000000000000000000000000000
χ958-8-88-88-44444-4-4-42-4244-2-2-4-12-224-4-121-21-21-21-2-12-12000000000000000000000000000000000000000000000000000000
χ968-8-88-88-44444-4-4-4-42-4-2-24422-14-4-222-1-21-21-21-212-12-1000000000000000000000000000000000000000000000000000000

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