Finite Group Databasebeta

← Group #10833368

Character table — Group #10833368

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222222222224444444444444444444444444444444444444488881212121216161616161616161616242424242424242424244848
order122222223444444666121212122444444444666666121212121212121212121212121212121212121212122444224468812121224242424244444888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111111-1-11-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-1111111-1-1
χ911111-1-1111-1-11111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1111-1-1-1-1-1-11111-1-11-1
χ1011111-1-1111-1-11111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1111-1-11111-1-1-1-111-11
χ1111111-1-1111-1-11111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111-1-1111-1-1-111-111-1-1-111-1-1-11
χ1211111-1-1111-1-11111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1111-1-1111-1-1111-1
χ1311111-1-1111-1-11111111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-11-1-11-1-111-1-1-1-111-1-111-11
χ1411111-1-1111-1-11111111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-11-11-1-11-1-1111111-1-111-1-11-1
χ1511111-1-1111-1-11111111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11111-11-111-111-1-1-111-1-1-1-1-1111-1
χ1611111-1-1111-1-11111111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-11-111-111-1-11-1-111111-1-1-11
χ17222222222-2-2-2-2-2-2222-2-2-2-22-200000000222222-2-2-2-2-2-2000000000000000000000000000000000002-202-2000000
χ18222222222-2-2-2-2-2-2222-2-2-2-22-200000000222222-2-2-2-2-2-200000000000000000000000000000000000-220-22000000
χ1922222222-1222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-122-1-1-1-1-1-1-1000000000000
χ2022222222-1222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001-2-21111111000000000000
χ2122222222-1222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122220000-1-2-2-1-1-11111000000000000
χ2222222222-1222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-20000122111-1-1-1-1000000000000
χ2322222-2-222-222-2-2-2222-2-2-2-2-22000000002-2-2-2-22-2-22222000000000000000000000000000000000002-20-22000000
χ2422222-2-222-222-2-2-2222-2-2-2-2-22000000002-2-2-2-22-2-2222200000000000000000000000000000000000-2202-2000000
χ2522222-2-22-12-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-2-11111-1-1-11111-1-1-1-1-1-1-1-1111111112-2-220000-12-211-1-1-111000000000000
χ2622222-2-22-12-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-2-11111-1-1-11111-1-1-1-1-1-1-1-111111111-222-200001-22-1-1111-1-1000000000000
χ2722222-2-22-12-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-11111-1-1-1111111111111-1-1-1-1-1-1-1-12-2-220000-1-2211-111-1-1000000000000
χ2822222-2-22-12-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-222-2000012-2-1-11-1-111000000000000
χ292222-222-22222-2-22222-2-2-2-2-2-200000000-222-2-2-22222-2-2000000000000000022-2-200002002-2-20000000000000000
χ302222-222-22222-2-22222-2-2-2-2-2-200000000-222-2-2-22222-2-20000000000000000-2-2220000-200-2220000000000000000
χ312222-222-22-2-2-222-22222222-2200000000-222-2-2-2-2-2-2-2220000000000000000000022-2-20000000000200-200000000
χ322222-222-22-2-2-222-22222222-2200000000-222-2-2-2-2-2-2-22200000000000000000000-2-2220000000000-200200000000
χ332222-222-2-1222-2-22-1-1-11111-2-2000000001-1-1111-1-1-1-1113333−3−3−3−33333−3−3−3−322-2-20000-100-1113−33−3000000000000
χ342222-222-2-1222-2-22-1-1-11111-2-2000000001-1-1111-1-1-1-1113333−3−3−3−33333−3−3−3−3-2-22200001001-1-1−33−33000000000000
χ352222-222-2-1222-2-22-1-1-11111-2-2000000001-1-1111-1-1-1-111−3−3−3−33333−3−3−3−3333322-2-20000-100-111−33−33000000000000
χ362222-222-2-1222-2-22-1-1-11111-2-2000000001-1-1111-1-1-1-111−3−3−3−33333−3−3−3−33333-2-22200001001-1-13−33−3000000000000
χ372222-2-2-2-222-2-2-2-22222-2-2-2-22200000000-2-2-222-222-2-22200000000000000002-22-20000200-22-20000000000000000
χ382222-2-2-2-222-2-2-2-22222-2-2-2-22200000000-2-2-222-222-2-2220000000000000000-22-220000-2002-220000000000000000
χ392222-2-2-2-22-22222-222222222-200000000-2-2-222-2-2-222-2-20000000000000000000022-2-20000000000-200200000000
χ402222-2-2-2-22-22222-222222222-200000000-2-2-222-2-2-222-2-200000000000000000000-2-2220000000000200-200000000
χ412222-2-2-2-2-12-2-2-2-22-1-1-111112200000000111-1-11-1-111-1-13333−3−3−3−3−3−3−3−333332-22-20000-1001-113−3−33000000000000
χ422222-2-2-2-2-12-2-2-2-22-1-1-111112200000000111-1-11-1-111-1-13333−3−3−3−3−3−3−3−33333-22-220000100-11-1−333−3000000000000
χ432222-2-2-2-2-12-2-2-2-22-1-1-111112200000000111-1-11-1-111-1-1−3−3−3−333333333−3−3−3−32-22-20000-1001-11−333−3000000000000
χ442222-2-2-2-2-12-2-2-2-22-1-1-111112200000000111-1-11-1-111-1-1−3−3−3−333333333−3−3−3−3-22-220000100-11-13−3−33000000000000
χ452-2-22200-222002-2-2-2-2222-2-20000002i2i−2i−2i20000-22-20000000000002i2i−2i−2i2i2i−2i−2i00002-22-20000000000000000002i−2i00
χ462-2-22200-222002-2-2-2-2222-2-20000002i2i−2i−2i20000-22-20000000000002i2i−2i−2i2i2i−2i−2i0000-22-22000000000000000000−2i2i00
χ472-2-22200-222002-2-2-2-2222-2-2000000−2i−2i2i2i20000-22-2000000000000−2i−2i2i2i−2i−2i2i2i00002-22-2000000000000000000−2i2i00
χ482-2-22200-222002-2-2-2-2222-2-2000000−2i−2i2i2i20000-22-2000000000000−2i−2i2i2i−2i−2i2i2i0000-22-220000000000000000002i−2i00
χ492-2-22-20022-2002-22-2-2222-2-20022-2-20000-200002-22000022-2-222-2-20000000000002-2-2200000000000000002-20000
χ502-2-22-20022-2002-22-2-2222-2-20022-2-20000-200002-22000022-2-222-2-2000000000000-222-20000000000000000-220000
χ512-2-22-20022-2002-22-2-2222-2-200-2-2220000-200002-220000-2-222-2-2220000000000002-2-220000000000000000-220000
χ522-2-22-20022-2002-22-2-2222-2-200-2-2220000-200002-220000-2-222-2-222000000000000-222-200000000000000002-20000
χ5344444444-2-4-4-4-4-4-4-2-2-222224-400000000-2-2-2-2-2-22222220000000000000000000000000000000000000000000000
χ5444444-4-44-2-444-4-4-4-2-2-22222-4400000000-22222-222-2-2-2-20000000000000000000000000000000000000000000000
χ554444-444-4-2-4-4-444-4-2-2-2-2-2-2-2-44000000002-2-22222222-2-20000000000000000000000000000000000000000000000
χ564444-4-4-4-4-2-44444-4-2-2-2-2-2-2-24-400000000222-2-2222-2-2220000000000000000000000000000000000000000000000
χ5744-4-40000404i−4i0004-4-40000002i−2i2i−2i2-22-2000000004i−4i002i−2i2i−2i2i−2i2i−2i2-22-22-22-2000000000000000000000000000000
χ5844-4-40000404i−4i0004-4-4000000−2i2i−2i2i-22-22000000004i−4i00−2i2i−2i2i−2i2i−2i2i-22-22-22-22000000000000000000000000000000
χ5944-4-4000040−4i4i0004-4-40000002i−2i2i−2i-22-2200000000−4i4i002i−2i2i−2i2i−2i2i−2i-22-22-22-22000000000000000000000000000000
χ6044-4-4000040−4i4i0004-4-4000000−2i2i−2i2i2-22-200000000−4i4i00−2i2i−2i2i−2i2i−2i2i2-22-22-22-2000000000000000000000000000000
χ6144-4-40000-204i−4i000-22223−2323−23002i−2i2i−2i2-22-2000−2i32i3000−2i2i00−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−1−31+3−1−31+3−1+31−3−1+31−3000000000000000000000000000000
χ6244-4-40000-204i−4i000-22223−2323−2300−2i2i−2i2i-22-22000−2i32i3000−2i2i00ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ111+3−1−31+3−1−31−3−1+31−3−1+3000000000000000000000000000000
χ6344-4-40000-204i−4i000-222−2323−2323002i−2i2i−2i2-22-20002i3−2i3000−2i2i00ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−1+31−3−1+31−3−1−31+3−1−31+3000000000000000000000000000000
χ6444-4-40000-204i−4i000-222−2323−232300−2i2i−2i2i-22-220002i3−2i3000−2i2i00−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ111−3−1+31−3−1+31+3−1−31+3−1−3000000000000000000000000000000
χ6544-4-40000-20−4i4i000-22223−2323−23002i−2i2i−2i-22-220002i3−2i30002i−2i00−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ111+3−1−31+3−1−31−3−1+31−3−1+3000000000000000000000000000000
χ6644-4-40000-20−4i4i000-22223−2323−2300−2i2i−2i2i2-22-20002i3−2i30002i−2i00ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−1−31+3−1−31+3−1+31−3−1+31−3000000000000000000000000000000
χ6744-4-40000-20−4i4i000-222−2323−2323002i−2i2i−2i-22-22000−2i32i30002i−2i00ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111−3−1+31−3−1+31+3−1−31+3−1−3000000000000000000000000000000
χ6844-4-40000-20−4i4i000-222−2323−232300−2i2i−2i2i2-22-2000−2i32i30002i−2i00−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1+31−3−1+31−3−1−31+3−1−31+3000000000000000000000000000000
χ694-44-404-404000000-44-40000002i−2i−2i2i2i−2i−2i2i04-40000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ704-44-404-404000000-44-4000000−2i2i2i−2i−2i2i2i−2i04-4000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ714-44-404-40-20000002-2223−23−2323002i−2i−2i2i2i−2i−2i2i0-22000000023−23−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11000000000000000000000000000000
χ724-44-404-40-20000002-2223−23−232300−2i2i2i−2i−2i2i2i−2i0-22000000023−23ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11000000000000000000000000000000
χ734-44-404-40-20000002-22−232323−23002i−2i−2i2i2i−2i−2i2i0-220000000−2323ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11000000000000000000000000000000
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χ754-44-40-4404000000-44-40000002i−2i−2i2i−2i2i2i−2i0-440000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ764-44-40-4404000000-44-4000000−2i2i2i−2i2i−2i−2i2i0-44000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ774-44-40-440-20000002-2223−23−2323002i−2i−2i2i−2i2i2i−2i02-20000000−2323−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11000000000000000000000000000000
χ784-44-40-440-20000002-2223−23−232300−2i2i2i−2i2i−2i−2i2i02-20000000−2323ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11000000000000000000000000000000
χ794-44-40-440-20000002-22−232323−23002i−2i−2i2i−2i2i2i−2i02-2000000023−23ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11000000000000000000000000000000
χ804-44-40-440-20000002-22−232323−2300−2i2i2i−2i2i−2i−2i2i02-2000000023−23−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11000000000000000000000000000000
χ814-4-44400-44-400-444-4-44-4-444000000000040000-4-4400000000000000000000000000000000000000000000000000
χ824-4-44400-4-24004-4-422-2-2-2220000004i4i−4i−4i-200002-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ834-4-44400-4-24004-4-422-2-2-222000000−4i−4i4i4i-200002-220000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ844-4-44400-4-2-400-44422-222-2-20000000000-2000022-200002323−23−23−23−23232300000000000000000000000000000000000000
χ854-4-44400-4-2-400-44422-222-2-20000000000-2000022-20000−23−2323232323−23−2300000000000000000000000000000000000000
χ864-4-44-40044400-44-4-4-44-4-4440000000000-4000044-400000000000000000000000000000000000000000000000000
χ874-4-44-4004-2400-44-422-222-2-2000000000020000-2-22000000000000−2i3−2i32i32i32i32i3−2i3−2i3000000000000000000000000000000
χ884-4-44-4004-2400-44-422-222-2-2000000000020000-2-220000000000002i32i3−2i3−2i3−2i3−2i32i32i3000000000000000000000000000000
χ894-4-44-4004-2-4004-4422-2-2-2220044-4-4000020000-22-20000-2-222-2-22200000000000000000000000000000000000000
χ904-4-44-4004-2-4004-4422-2-2-22200-4-444000020000-22-2000022-2-222-2-200000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.