Finite Group Databasebeta

← Group #11789967

Character table — Group #11789967

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order12442444443366661212121212121212121212121212888888888888888861212121212224424242424242424242424242424242424244444248861224244488
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
χ511111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111
χ611111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1
χ711111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1
χ811111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111
χ911-1-1-1ii−i−i1111-1-11iiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-11ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11ii−i−i1-1i−i1-1i−i1-1i−i
χ1011-1-1-1ii−i−i1111-1-11iiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-11ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11ii−i−i-11−ii-11−ii-11−ii
χ1111-1-1-1ii−i−i1111-1-11iiii−i−i−i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11ii−i−i11-1-1−i−i−i−iiiii-1-1-1-11111-11ii−i−i1-1i−i1-1i−i-11−ii
χ1211-1-1-1ii−i−i1111-1-11iiii−i−i−i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11ii−i−i11-1-1−i−i−i−iiiii-1-1-1-11111-11ii−i−i-11−ii-11−ii1-1i−i
χ1311-1-1-1−i−iii1111-1-11−i−i−i−iiiii11-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11−i−iii11-1-1iiii−i−i−i−i-1-1-1-11111-11−i−iii1-1−ii1-1−ii-11i−i
χ1411-1-1-1−i−iii1111-1-11−i−i−i−iiiii11-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11−i−iii11-1-1iiii−i−i−i−i-1-1-1-11111-11−i−iii-11i−i-11i−i1-1−ii
χ1511-1-1-1−i−iii1111-1-11−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-11−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11−i−iii1-1−ii1-1−ii1-1−ii
χ1611-1-1-1−i−iii1111-1-11−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-11−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11−i−iii-11i−i-11i−i-11i−i
χ172222222222222222222222222222220000000000000000222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ1822222-2-2-2-22222222-2-2-2-2-2-2-2-2222222000000000000000022-2-2-2-2-2-2-2-20000000000000000-2-22222000000000000
χ192222-20000-2222-2-2200000000-2-22222000000002i2i−2i−2i2i2i−2i−2i-2-20000-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i220000000000000000
χ202222-20000-2222-2-2200000000-2-2222200000000−2i−2i2i2i−2i−2i2i2i-2-20000-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i220000000000000000
χ212222-20000-2222-2-2200000000-2-2222222-2-222-2-200000000-2-20000222222-2-222-2-200000000-2-20000000000000000
χ222222-20000-2222-2-2200000000-2-22222-2-222-2-22200000000-2-200002222-2-222-2-22200000000-2-20000000000000000
χ2322-2-220000-222222200000000-2-2-2-2-2-2000000002i2i−2i−2i−2i−2i2i2i2-20000-2-222000000002i2i−2i−2i−2i−2i2i2i-220000000000000000
χ2422-2-220000-222222200000000-2-2-2-2-2-200000000−2i−2i2i2i2i2i−2i−2i2-20000-2-22200000000−2i−2i2i2i2i2i−2i−2i-220000000000000000
χ2522-2-220000-222222200000000-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i000000002-2000022-2-22i2i−2i−2i−2i−2i2i2i000000002-20000000000000000
χ2622-2-220000-222222200000000-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i000000002-2000022-2-2−2i−2i2i2i2i2i−2i−2i000000002-20000000000000000
χ2722-2-2-22i2i−2i−2i2222-2-222i2i2i2i−2i−2i−2i−2i22-2-2-2-20000000000000000-222i2i−2i−2i-2-22200000000000000002-2−2i−2i2i2i000000000000
χ2822-2-2-2−2i−2i2i2i2222-2-22−2i−2i−2i−2i2i2i2i2i22-2-2-2-20000000000000000-22−2i−2i2i2i-2-22200000000000000002-22i2i−2i−2i000000000000
χ292-22i−2i01+i−1−i1−i−1+i022-200-21+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i2i−2i002ζ3−2ζ3002ζ−2ζi2−i2i2−i22−22−2001+i−1−i1−i−1+i2-22i−2i002ζ3−2ζ3002ζ−2ζi2−i2i2−i22−22−2001+i−1−i1−i−1+i000000000000
χ302-22i−2i01+i−1−i1−i−1+i022-200-21+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i2i−2i00−2ζ32ζ300−2ζ2ζ−i2i2−i2i2−22−22001+i−1−i1−i−1+i2-22i−2i00−2ζ32ζ300−2ζ2ζ−i2i2−i2i2−22−22001+i−1−i1−i−1+i000000000000
χ312-22i−2i01+i−1−i1−i−1+i022-200-21+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i2i−2i2ζ−2ζ002ζ3−2ζ3002−2−22−i2i2i2−i2001+i−1−i1−i−1+i-22−2i2i2ζ−2ζ002ζ3−2ζ3002−2−22−i2i2i2−i200−1−i1+i−1+i1−i000000000000
χ322-22i−2i01+i−1−i1−i−1+i022-200-21+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i2i−2i−2ζ2ζ00−2ζ32ζ300−222−2i2−i2−i2i2001+i−1−i1−i−1+i-22−2i2i−2ζ2ζ00−2ζ32ζ300−222−2i2−i2−i2i200−1−i1+i−1+i1−i000000000000
χ332-22i−2i0−1−i1+i−1+i1−i022-200-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i2i−2i002ζ3−2ζ3002ζ−2ζ−i2i2−i2i2−22−2200−1−i1+i−1+i1−i2-22i−2i002ζ3−2ζ3002ζ−2ζ−i2i2−i2i2−22−2200−1−i1+i−1+i1−i000000000000
χ342-22i−2i0−1−i1+i−1+i1−i022-200-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i2i−2i00−2ζ32ζ300−2ζ2ζi2−i2i2−i22−22−200−1−i1+i−1+i1−i2-22i−2i00−2ζ32ζ300−2ζ2ζi2−i2i2−i22−22−200−1−i1+i−1+i1−i000000000000
χ352-22i−2i0−1−i1+i−1+i1−i022-200-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i2i−2i2ζ−2ζ002ζ3−2ζ300−222−2i2−i2−i2i200−1−i1+i−1+i1−i-22−2i2i2ζ−2ζ002ζ3−2ζ300−222−2i2−i2−i2i2001+i−1−i1−i−1+i000000000000
χ362-22i−2i0−1−i1+i−1+i1−i022-200-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i2i−2i−2ζ2ζ00−2ζ32ζ3002−2−22−i2i2i2−i200−1−i1+i−1+i1−i-22−2i2i−2ζ2ζ00−2ζ32ζ3002−2−22−i2i2i2−i2001+i−1−i1−i−1+i000000000000
χ372-2−2i2i01−i−1+i1+i−1−i022-200-21−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2i2i−2i2i002ζ−2ζ002ζ3−2ζ3i2−i2i2−i2−22−22001−i−1+i1+i−1−i2-2−2i2i002ζ−2ζ002ζ3−2ζ3i2−i2i2−i2−22−22001−i−1+i1+i−1−i000000000000
χ382-2−2i2i01−i−1+i1+i−1−i022-200-21−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2i2i−2i2i00−2ζ2ζ00−2ζ32ζ3−i2i2−i2i22−22−2001−i−1+i1+i−1−i2-2−2i2i00−2ζ2ζ00−2ζ32ζ3−i2i2−i2i22−22−2001−i−1+i1+i−1−i000000000000
χ392-2−2i2i01−i−1+i1+i−1−i022-200-21−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2i2i−2i2i2ζ3−2ζ3002ζ−2ζ00−222−2−i2i2i2−i2001−i−1+i1+i−1−i-222i−2i2ζ3−2ζ3002ζ−2ζ00−222−2−i2i2i2−i200−1+i1−i−1−i1+i000000000000
χ402-2−2i2i01−i−1+i1+i−1−i022-200-21−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2i2i−2i2i−2ζ32ζ300−2ζ2ζ002−2−22i2−i2−i2i2001−i−1+i1+i−1−i-222i−2i−2ζ32ζ300−2ζ2ζ002−2−22i2−i2−i2i200−1+i1−i−1−i1+i000000000000
χ412-2−2i2i0−1+i1−i−1−i1+i022-200-2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2i2i−2i2i002ζ−2ζ002ζ3−2ζ3−i2i2−i2i22−22−200−1+i1−i−1−i1+i2-2−2i2i002ζ−2ζ002ζ3−2ζ3−i2i2−i2i22−22−200−1+i1−i−1−i1+i000000000000
χ422-2−2i2i0−1+i1−i−1−i1+i022-200-2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2i2i−2i2i00−2ζ2ζ00−2ζ32ζ3i2−i2i2−i2−22−2200−1+i1−i−1−i1+i2-2−2i2i00−2ζ2ζ00−2ζ32ζ3i2−i2i2−i2−22−2200−1+i1−i−1−i1+i000000000000
χ432-2−2i2i0−1+i1−i−1−i1+i022-200-2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2i2i−2i2i2ζ3−2ζ3002ζ−2ζ002−2−22i2−i2−i2i200−1+i1−i−1−i1+i-222i−2i2ζ3−2ζ3002ζ−2ζ002−2−22i2−i2−i2i2001−i−1+i1+i−1−i000000000000
χ442-2−2i2i0−1+i1−i−1−i1+i022-200-2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2i2i−2i2i−2ζ32ζ300−2ζ2ζ00−222−2−i2i2i2−i200−1+i1−i−1−i1+i-222i−2i−2ζ32ζ300−2ζ2ζ00−222−2−i2i2i2−i2001−i−1+i1+i−1−i000000000000
χ4544444444441-2111-2111111111111-2-22222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-2111-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ474444444444-21-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2110000000000000000111111000000000000000000000000002222-1-1-1-10000
χ484444444444-21-2-2-21-2-2-2-2-2-2-2-2-2-2-2-211000000000000000011111100000000000000000000000000-2-2-2-211110000
χ4944444-4-4-4-441-2111-2-1-1-1-1-1-1-1-11111-2-222222222-2-2-2-2-2-2-2-2-2-222220000-1-1-1-1-1-1-1-111111111000000000000000000
χ5044444-4-4-4-441-2111-2-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-2-222222222-2-22222000011111111-1-1-1-1-1-1-1-1000000000000000000
χ5144444-4-4-4-44-21-2-2-2122222222-2-2-2-211000000000000000011-1-1-1-10000000000000000000000000022-2-2-1-1110000
χ5244444-4-4-4-44-21-2-2-2122222222-2-2-2-211000000000000000011-1-1-1-100000000000000000000000000-2-22211-1-10000
χ534444-40000-41-21-1-1-23i−3i3i−3i3i−3i3i−3i-1-111-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2200000000-1-111-1-111−i−iii−i−iii000000000000000000
χ544444-40000-41-21-1-1-23i−3i3i−3i3i−3i3i−3i-1-111-2-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i220000000011-1-111-1-1ii−i−iii−i−i000000000000000000
χ554444-40000-41-21-1-1-2−3i3i−3i3i−3i3i−3i3i-1-111-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i2200000000-1-111-1-111ii−i−iii−i−i000000000000000000
χ564444-40000-41-21-1-1-2−3i3i−3i3i−3i3i−3i3i-1-111-2-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i220000000011-1-111-1-1−i−iii−i−iii000000000000000000
χ5744-4-440000-41-2111-23-33-3-33-33-1-1-1-1222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2200000000−i−iiiii−i−iii−i−i−i−iii000000000000000000
χ5844-4-440000-41-2111-23-33-3-33-33-1-1-1-122−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2200000000ii−i−i−i−iii−i−iiiii−i−i000000000000000000
χ5944-4-440000-41-2111-2-33-333-33-3-1-1-1-1222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2200000000−i−iiiii−i−i−i−iiiii−i−i000000000000000000
χ6044-4-440000-41-2111-2-33-333-33-3-1-1-1-122−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2200000000ii−i−i−i−iiiii−i−i−i−iii000000000000000000
χ6144-4-4-44i4i−4i−4i41-21-1-1-2iiii−i−i−i−i11-1-1222i2i2i2i−2i−2i−2i−2i2222-2-2-2-22-2−2i−2i2i2i0000−i−i−i−iiiii-1-1-1-11111000000000000000000
χ6244-4-4-44i4i−4i−4i41-21-1-1-2iiii−i−i−i−i11-1-122−2i−2i−2i−2i2i2i2i2i-2-2-2-222222-2−2i−2i2i2i0000iiii−i−i−i−i1111-1-1-1-1000000000000000000
χ6344-4-4-44i4i−4i−4i4-21-2221−2i−2i−2i−2i2i2i2i2i-2-222-1-10000000000000000-11ii−i−i000000000000000000000000002-22i−2i-11−ii0000
χ6444-4-4-44i4i−4i−4i4-21-2221−2i−2i−2i−2i2i2i2i2i-2-222-1-10000000000000000-11ii−i−i00000000000000000000000000-22−2i2i1-1i−i0000
χ6544-4-4-4−4i−4i4i4i41-21-1-1-2−i−i−i−iiiii11-1-1222i2i2i2i−2i−2i−2i−2i-2-2-2-222222-22i2i−2i−2i0000−i−i−i−iiiii1111-1-1-1-1000000000000000000
χ6644-4-4-4−4i−4i4i4i41-21-1-1-2−i−i−i−iiiii11-1-122−2i−2i−2i−2i2i2i2i2i2222-2-2-2-22-22i2i−2i−2i0000iiii−i−i−i−i-1-1-1-11111000000000000000000
χ6744-4-4-4−4i−4i4i4i4-21-22212i2i2i2i−2i−2i−2i−2i-2-222-1-10000000000000000-11−i−iii000000000000000000000000002-2−2i2i-11i−i0000
χ6844-4-4-4−4i−4i4i4i4-21-22212i2i2i2i−2i−2i−2i−2i-2-222-1-10000000000000000-11−i−iii00000000000000000000000000-222i−2i1-1−ii0000
χ694-44i−4i02+2i−2−2i2−2i−2+2i01-2-13-322−i−1+2i−2+i1−2i−1−2i2+i1+2i−2−i3i−3ii−i−2i2i2ζ−2ζ−2ζ32ζ32ζ3−2ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ3−2ζ300−1−i1+i−1+i1−i0000−ζζζ3−ζ3−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ−ζ−ζ3ζ3000000000000000000
χ704-44i−4i02+2i−2−2i2−2i−2+2i01-2-13-322−i−1+2i−2+i1−2i−1−2i2+i1+2i−2−i3i−3ii−i−2i2i−2ζ2ζ2ζ3−2ζ3−2ζ32ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ32ζ300−1−i1+i−1+i1−i0000ζ−ζ−ζ3ζ3ζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζζζ3−ζ3000000000000000000
χ714-44i−4i02+2i−2−2i2−2i−2+2i01-2-1-332−1+2i2−i1−2i−2+i2+i−1−2i−2−i1+2i−3i3ii−i−2i2i2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ32ζ−2ζ00−1−i1+i−1+i1−i0000−ζζ−ζ3ζ3−ζ3ζ3−ζζ−ζζ−ζ3ζ3ζ3−ζ3−ζζ000000000000000000
χ724-44i−4i02+2i−2−2i2−2i−2+2i01-2-1-332−1+2i2−i1−2i−2+i2+i−1−2i−2−i1+2i−3i3ii−i−2i2i−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ3−2ζ2ζ00−1−i1+i−1+i1−i0000ζ−ζζ3−ζ3ζ3−ζ3ζ−ζζ−ζζ3−ζ3−ζ3ζ3ζ−ζ000000000000000000
χ734-44i−4i0−2−2i2+2i−2+2i2−2i01-2-13-32−2+i1−2i2−i−1+2i1+2i−2−i−1−2i2+i3i−3ii−i−2i2i2ζ−2ζ−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ32ζ3001+i−1−i1−i−1+i0000−ζζζ3−ζ3−ζ3ζ3ζ−ζ−ζ3ζ3−ζζ−ζζζ3−ζ3000000000000000000
χ744-44i−4i0−2−2i2+2i−2+2i2−2i01-2-13-32−2+i1−2i2−i−1+2i1+2i−2−i−1−2i2+i3i−3ii−i−2i2i−2ζ2ζ2ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ3−2ζ3001+i−1−i1−i−1+i0000ζ−ζ−ζ3ζ3ζ3−ζ3−ζζζ3−ζ3ζ−ζζ−ζ−ζ3ζ3000000000000000000
χ754-44i−4i0−2−2i2+2i−2+2i2−2i01-2-1-3321−2i−2+i−1+2i2−i−2−i1+2i2+i−1−2i−3i3ii−i−2i2i2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ3−2ζ2ζ001+i−1−i1−i−1+i0000−ζζ−ζ3ζ3−ζ3ζ3−ζζζ−ζζ3−ζ3−ζ3ζ3ζ−ζ000000000000000000
χ764-44i−4i0−2−2i2+2i−2+2i2−2i01-2-1-3321−2i−2+i−1+2i2−i−2−i1+2i2+i−1−2i−3i3ii−i−2i2i−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ32ζ−2ζ001+i−1−i1−i−1+i0000ζ−ζζ3−ζ3ζ3−ζ3ζ−ζ−ζζ−ζ3ζ3ζ3−ζ3−ζζ000000000000000000
χ774-4−4i4i02−2i−2+2i2+2i−2−2i01-2-13-322+i−1−2i−2−i1+2i−1+2i2−i1−2i−2+i−3i3i−ii2i−2i2ζ3−2ζ3−2ζ2ζ2ζ−2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ−2ζ00−1+i1−i−1−i1+i0000−ζ3ζ3ζ−ζ−ζζζ3−ζ3ζ−ζζ3−ζ3ζ3−ζ3−ζζ000000000000000000
χ784-4−4i4i02−2i−2+2i2+2i−2−2i01-2-13-322+i−1−2i−2−i1+2i−1+2i2−i1−2i−2+i−3i3i−ii2i−2i−2ζ32ζ32ζ−2ζ−2ζ2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ2ζ00−1+i1−i−1−i1+i0000ζ3−ζ3−ζζζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζ3ζ3ζ−ζ000000000000000000
χ794-4−4i4i02−2i−2+2i2+2i−2−2i01-2-1-332−1−2i2+i1+2i−2−i2−i−1+2i−2+i1−2i3i−3i−ii2i−2i2ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ2ζ3−2ζ300−1+i1−i−1−i1+i0000−ζ3ζ3−ζζ−ζζ−ζ3ζ3−ζ3ζ3−ζζζ−ζ−ζ3ζ3000000000000000000
χ804-4−4i4i02−2i−2+2i2+2i−2−2i01-2-1-332−1−2i2+i1+2i−2−i2−i−1+2i−2+i1−2i3i−3i−ii2i−2i−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ−2ζ32ζ300−1+i1−i−1−i1+i0000ζ3−ζ3ζ−ζζ−ζζ3−ζ3ζ3−ζ3ζ−ζ−ζζζ3−ζ3000000000000000000
χ814-4−4i4i0−2+2i2−2i−2−2i2+2i01-2-13-32−2−i1+2i2+i−1−2i1−2i−2+i−1+2i2−i−3i3i−ii2i−2i2ζ3−2ζ3−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ2ζ001−i−1+i1+i−1−i0000−ζ3ζ3ζ−ζ−ζζζ3−ζ3−ζζ−ζ3ζ3−ζ3ζ3ζ−ζ000000000000000000
χ824-4−4i4i0−2+2i2−2i−2−2i2+2i01-2-13-32−2−i1+2i2+i−1−2i1−2i−2+i−1+2i2−i−3i3i−ii2i−2i−2ζ32ζ32ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ−2ζ001−i−1+i1+i−1−i0000ζ3−ζ3−ζζζ−ζ−ζ3ζ3ζ−ζζ3−ζ3ζ3−ζ3−ζζ000000000000000000
χ834-4−4i4i0−2+2i2−2i−2−2i2+2i01-2-1-3321+2i−2−i−1−2i2+i−2+i1−2i2−i−1+2i3i−3i−ii2i−2i2ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ−2ζ32ζ3001−i−1+i1+i−1−i0000−ζ3ζ3−ζζ−ζζ−ζ3ζ3ζ3−ζ3ζ−ζ−ζζζ3−ζ3000000000000000000
χ844-4−4i4i0−2+2i2−2i−2−2i2+2i01-2-1-3321+2i−2−i−1−2i2+i−2+i1−2i2−i−1+2i3i−3i−ii2i−2i−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ2ζ3−2ζ3001−i−1+i1+i−1−i0000ζ3−ζ3ζ−ζζ−ζζ3−ζ3−ζ3ζ3−ζζζ−ζ−ζ3ζ3000000000000000000
χ858888-80000-8-42-44420000000044-4-4220000000000000000-2-2000000000000000000000000000000000000000000
χ8688-8-880000-8-42-4-4-42000000004444-2-200000000000000002-2000000000000000000000000000000000000000000
χ878-88i−8i04+4i−4−4i4−4i−4+4i0-42400-2−2−2i−2−2i2+2i2+2i−2+2i−2+2i2−2i2−2i00−4i4i2i−2i0000000000000000001+i−1−i1−i−1+i00000000000000000000000000000000000000
χ888-88i−8i0−4−4i4+4i−4+4i4−4i0-42400-22+2i2+2i−2−2i−2−2i2−2i2−2i−2+2i−2+2i00−4i4i2i−2i000000000000000000−1−i1+i−1+i1−i00000000000000000000000000000000000000
χ898-8−8i8i04−4i−4+4i4+4i−4−4i0-42400-2−2+2i−2+2i2−2i2−2i−2−2i−2−2i2+2i2+2i004i−4i−2i2i0000000000000000001−i−1+i1+i−1−i00000000000000000000000000000000000000
χ908-8−8i8i0−4+4i4−4i−4−4i4+4i0-42400-22−2i2−2i−2+2i−2+2i2+2i2+2i−2−2i−2−2i004i−4i−2i2i000000000000000000−1+i1−i−1−i1+i00000000000000000000000000000000000000

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