Finite Group Databasebeta

← Group #11774782

Character table — Group #11774782

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order12224444443366666612121212121212121212121288888888888888881212121212124444242424242424242424242424242424242244444444121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111111-1-111-1-1ii−i−i
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-111-1-111−i−iii
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111111-1-111-1-1−i−iii
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-111-1-111ii−i−i
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-11-11-11-11-1i−ii−i
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-11-11-11-11−ii−ii
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-11-11-11-11-1−ii−ii
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-11-11-11-11i−ii−i
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-111-1-111-1-11
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-111-1-111-1
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-11-1-111-1-11-111-1
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-111-1-111-11-1-11
χ172222222222222222222222222222220000000000000000222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-22222000000000000000022-2-2-2-2000000000000
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-20000000000000000-2-222-2-222220000000000000000-2-2-2-222000000000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-222-2-2-2-2000000000000000022-2-222000000000000
χ2122-2-22-200002222-2-2-2-222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-20000-2-222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-20000000000000000
χ2222-2-22-200002222-2-2-2-222-2-20000000022−2−222−2−2−2−222−2−2222-2000022-2-222−2−222−2−2−2−222−2−222-220000000000000000
χ2322-2-22-200002222-2-2-2-222-2-200000000−2−222−2−22222−2−222−2−22-2000022-2-2−2−222−2−22222−2−222−2−2-220000000000000000
χ2422-2-22-200002222-2-2-2-222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-20000-2-222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-20000000000000000
χ2522-2-2-2200002222-2-2-2-2-2-22200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-220000-2-222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-220000000000000000
χ2622-2-2-2200002222-2-2-2-2-2-2220000000022−2−2−2−22222−2−2−2−222-22000022-2-222−2−2−2−22222−2−2−2−2222-20000000000000000
χ2722-2-2-2200002222-2-2-2-2-2-22200000000−2−22222−2−2−2−22222−2−2-22000022-2-2−2−22222−2−2−2−22222−2−22-20000000000000000
χ2822-2-2-2200002222-2-2-2-2-2-22200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-220000-2-222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-220000000000000000
χ292-22-200002i−2i22-2-22-22-2000000002i2i−2i−2i00002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000000002i−2i2i−2i2i−2i00002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000002-200000000000000
χ302-22-200002i−2i22-2-22-22-2000000002i2i−2i−2i0000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000002i−2i2i−2i2i−2i0000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000002-200000000000000
χ312-22-200002i−2i22-2-22-22-2000000002i2i−2i−2i2ζ−2ζ2ζ−2ζ000000002ζ3−2ζ32ζ3−2ζ300002i−2i−2i2i−2i2i2ζ−2ζ2ζ−2ζ000000002ζ3−2ζ32ζ3−2ζ300-2200000000000000
χ322-22-200002i−2i22-2-22-22-2000000002i2i−2i−2i−2ζ2ζ−2ζ2ζ00000000−2ζ32ζ3−2ζ32ζ300002i−2i−2i2i−2i2i−2ζ2ζ−2ζ2ζ00000000−2ζ32ζ3−2ζ32ζ300-2200000000000000
χ332-22-20000−2i2i22-2-22-22-200000000−2i−2i2i2i00002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000000−2i2i−2i2i−2i2i00002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000002-200000000000000
χ342-22-20000−2i2i22-2-22-22-200000000−2i−2i2i2i0000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000000−2i2i−2i2i−2i2i0000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000002-200000000000000
χ352-22-20000−2i2i22-2-22-22-200000000−2i−2i2i2i2ζ3−2ζ32ζ3−2ζ3000000002ζ−2ζ2ζ−2ζ0000−2i2i2i−2i2i−2i2ζ3−2ζ32ζ3−2ζ3000000002ζ−2ζ2ζ−2ζ00-2200000000000000
χ362-22-20000−2i2i22-2-22-22-200000000−2i−2i2i2i−2ζ32ζ3−2ζ32ζ300000000−2ζ2ζ−2ζ2ζ0000−2i2i2i−2i2i−2i−2ζ32ζ3−2ζ32ζ300000000−2ζ2ζ−2ζ2ζ00-2200000000000000
χ372-2-22002i−2i0022-2-2-22-2200002i2i−2i−2i00001+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i002i−2i00−2i2i2i−2i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i00002-2000000000000
χ382-2-22002i−2i0022-2-2-22-2200002i2i−2i−2i00001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i002i−2i002i−2i−2i2i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i0000-22000000000000
χ392-2-22002i−2i0022-2-2-22-2200002i2i−2i−2i0000−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i002i−2i002i−2i−2i2i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i0000-22000000000000
χ402-2-22002i−2i0022-2-2-22-2200002i2i−2i−2i0000−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i002i−2i00−2i2i2i−2i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i00002-2000000000000
χ412-2-2200−2i2i0022-2-2-22-220000−2i−2i2i2i00001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i00−2i2i00−2i2i2i−2i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i0000-22000000000000
χ422-2-2200−2i2i0022-2-2-22-220000−2i−2i2i2i00001−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i00−2i2i002i−2i−2i2i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i00002-2000000000000
χ432-2-2200−2i2i0022-2-2-22-220000−2i−2i2i2i0000−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00−2i2i002i−2i−2i2i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00002-2000000000000
χ442-2-2200−2i2i0022-2-2-22-220000−2i−2i2i2i0000−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i00−2i2i00−2i2i2i−2i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i0000-22000000000000
χ4544444444441-21-211-2-21111111111112222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-21-211-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ474444444444-21-21-2-211-2-2-2-2-2-2-2-2-2-2-2-20000000000000000111111000000000000000000000000002222-1-1-1-10000
χ484444444444-21-21-2-211-2-2-2-2-2-2-2-2-2-2-2-2000000000000000011111100000000000000000000000000-2-2-2-211110000
χ49444444-4-4-4-41-21-211-2-21111-1-1-1-1-1-1-1-12i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-222220000−i−i−i−i−i−i−i−iiiiiiiii000000000000000000
χ50444444-4-4-4-41-21-211-2-21111-1-1-1-1-1-1-1-1−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-222220000iiiiiiii−i−i−i−i−i−i−i−i000000000000000000
χ51444444-4-4-4-4-21-21-2-211-2-2-2-222222222000000000000000011-1-1-1-10000000000000000000000000022-2-2-1-1110000
χ52444444-4-4-4-4-21-21-2-211-2-2-2-222222222000000000000000011-1-1-1-100000000000000000000000000-2-22211-1-10000
χ534444-4-444-4-41-21-211-2-2-1-1-1-11111-1-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-2220000−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ544444-4-444-4-41-21-211-2-2-1-1-1-11111-1-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2220000iiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ554444-4-444-4-4-21-21-2-2112222-2-2-2-222220000000000000000-1-111-1-1000000000000000000000000002-22-2-11-110000
χ564444-4-444-4-4-21-21-2-2112222-2-2-2-222220000000000000000-1-111-1-100000000000000000000000000-22-221-11-10000
χ574444-4-4-4-4441-21-211-2-2-1-1-1-1-1-1-1-111112222-2-2-2-2-2-2-2-222222222-2-20000-1-1-1-111111111-1-1-1-1000000000000000000
χ584444-4-4-4-4441-21-211-2-2-1-1-1-1-1-1-1-11111-2-2-2-222222222-2-2-2-22222-2-200001111-1-1-1-1-1-1-1-11111000000000000000000
χ594444-4-4-4-444-21-21-2-21122222222-2-2-2-20000000000000000-1-1-1-111000000000000000000000000002-2-22-111-10000
χ604444-4-4-4-444-21-21-2-21122222222-2-2-2-20000000000000000-1-1-1-11100000000000000000000000000-222-21-1-110000
χ6144-4-44-400001-21-2-1-12211-1-13i−3i3i−3i3i−3i3i−3i2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ3-2200000000−ζ−ζζζ−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3000000000000000000
χ6244-4-44-400001-21-2-1-12211-1-13i−3i3i−3i3i−3i3i−3i−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3-2200000000ζζ−ζ−ζζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3000000000000000000
χ6344-4-44-400001-21-2-1-12211-1-1−3i3i−3i3i−3i3i−3i3i2ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ-2200000000−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ−ζζζ000000000000000000
χ6444-4-44-400001-21-2-1-12211-1-1−3i3i−3i3i−3i3i−3i3i−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ-2200000000ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζζ−ζ−ζζζ−ζ−ζ000000000000000000
χ6544-4-4-4400001-21-2-1-122-1-1113i−3i3i−3i−3i3i−3i3i2ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ−2ζ2-200000000−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ−ζζζ000000000000000000
χ6644-4-4-4400001-21-2-1-122-1-1113i−3i3i−3i−3i3i−3i3i−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ2ζ2-200000000ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3−ζ−ζζζζζ−ζ−ζ000000000000000000
χ6744-4-4-4400001-21-2-1-122-1-111−3i3i−3i3i3i−3i3i−3i2ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ3−2ζ32-200000000−ζ−ζζζζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3000000000000000000
χ6844-4-4-4400001-21-2-1-122-1-111−3i3i−3i3i3i−3i3i−3i−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ32-200000000ζζ−ζ−ζ−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3000000000000000000
χ694-44-400004i−4i1-2-121-1-223i−3i3i−3i3-3-33ii−i−i2ζ−2ζ2ζ−2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ3−2ζ32ζ3−2ζ30000−2i2i0000−ζζ−ζζζ3−ζ3ζ3−ζ3ζ−ζζ−ζ−ζ3ζ3−ζ3ζ3000000000000000000
χ704-44-400004i−4i1-2-121-1-223i−3i3i−3i3-3-33ii−i−i−2ζ2ζ−2ζ2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ32ζ3−2ζ32ζ30000−2i2i0000ζ−ζζ−ζ−ζ3ζ3−ζ3ζ3−ζζ−ζζζ3−ζ3ζ3−ζ3000000000000000000
χ714-44-400004i−4i1-2-121-1-22−3i3i−3i3i-333-3ii−i−i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000−2i2i0000−ζζ−ζζ−ζ3ζ3−ζ3ζ3−ζζ−ζζ−ζ3ζ3−ζ3ζ3000000000000000000
χ724-44-400004i−4i1-2-121-1-22−3i3i−3i3i-333-3ii−i−i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000−2i2i0000ζ−ζζ−ζζ3−ζ3ζ3−ζ3ζ−ζζ−ζζ3−ζ3ζ3−ζ3000000000000000000
χ734-44-40000−4i4i1-2-121-1-223i−3i3i−3i-333-3−i−iii2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00002i−2i0000−ζ3ζ3−ζ3ζ3−ζζ−ζζ−ζ3ζ3−ζ3ζ3−ζζ−ζζ000000000000000000
χ744-44-40000−4i4i1-2-121-1-223i−3i3i−3i-333-3−i−iii−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00002i−2i0000ζ3−ζ3ζ3−ζ3ζ−ζζ−ζζ3−ζ3ζ3−ζ3ζ−ζζ−ζ000000000000000000
χ754-44-40000−4i4i1-2-121-1-22−3i3i−3i3i3-3-33−i−iii2ζ3−2ζ32ζ3−2ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ−2ζ2ζ−2ζ00002i−2i0000−ζ3ζ3−ζ3ζ3ζ−ζζ−ζζ3−ζ3ζ3−ζ3−ζζ−ζζ000000000000000000
χ764-44-40000−4i4i1-2-121-1-22−3i3i−3i3i3-3-33−i−iii−2ζ32ζ3−2ζ32ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ2ζ−2ζ2ζ00002i−2i0000ζ3−ζ3ζ3−ζ3−ζζ−ζζ−ζ3ζ3−ζ3ζ3ζ−ζζ−ζ000000000000000000
χ774-4-44004i−4i001-2-12-112-23i−3i−3i3iii−i−i-333-32i−2i−2i2i2-2-222-2-22−2i2i2i−2i00−2i2i000000−iii−i-111-1-111-1i−i−ii000000000000000000
χ784-4-44004i−4i001-2-12-112-23i−3i−3i3iii−i−i-333-3−2i2i2i−2i-222-2-222-22i−2i−2i2i00−2i2i000000i−i−ii1-1-111-1-11−iii−i000000000000000000
χ794-4-44004i−4i001-2-12-112-2−3i3i3i−3iii−i−i3-3-332-2-222i−2i−2i2i−2i2i2i−2i2-2-2200−2i2i000000-111-1−iii−ii−i−ii-111-1000000000000000000
χ804-4-44004i−4i001-2-12-112-2−3i3i3i−3iii−i−i3-3-33-222-2−2i2i2i−2i2i−2i−2i2i-222-200−2i2i0000001-1-11i−i−ii−iii−i1-1-11000000000000000000
χ814-4-4400−4i4i001-2-12-112-23i−3i−3i3i−i−iii3-3-332-2-22−2i2i2i−2i2i−2i−2i2i2-2-22002i−2i000000-111-1i−i−ii−iii−i-111-1000000000000000000
χ824-4-4400−4i4i001-2-12-112-23i−3i−3i3i−i−iii3-3-33-222-22i−2i−2i2i−2i2i2i−2i-222-2002i−2i0000001-1-11−iii−ii−i−ii1-1-11000000000000000000
χ834-4-4400−4i4i001-2-12-112-2−3i3i3i−3i−i−iii-333-32i−2i−2i2i-222-2-222-2−2i2i2i−2i002i−2i000000−iii−i1-1-111-1-11i−i−ii000000000000000000
χ844-4-4400−4i4i001-2-12-112-2−3i3i3i−3i−i−iii-333-3−2i2i2i−2i2-2-222-2-222i−2i−2i2i002i−2i000000i−i−ii-111-1-111-1−iii−i000000000000000000
χ8588-8-88-80000-42-4244-2-2-4-4440000000000000000000000002-2000000000000000000000000000000000000000000
χ8688-8-8-880000-42-4244-2-244-4-4000000000000000000000000-22000000000000000000000000000000000000000000
χ878-88-800008i−8i-424-2-442-200000000−4i−4i4i4i000000000000000000002i−2i00000000000000000000000000000000000000
χ888-88-80000−8i8i-424-2-442-2000000004i4i−4i−4i00000000000000000000−2i2i00000000000000000000000000000000000000
χ898-8-88008i−8i00-424-24-4-220000−4i−4i4i4i00000000000000000000002i−2i0000000000000000000000000000000000000000
χ908-8-8800−8i8i00-424-24-4-2200004i4i−4i−4i0000000000000000000000−2i2i0000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.