Finite Group Databasebeta

← Group #11791196

Character table — Group #11791196

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order1244248888336666121212121212242424242424242444444444888888886122424242422441212121212121212242424242424242424888822446612128888
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
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11-11-11-11-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-11-11-11-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11-11-11-11-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-11-11-1111-1-1
χ911-1-1-1111-1-1111-1-11-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1111-1-111-1-111-1-1i−ii−i
χ1011-1-1-1111-1-1111-1-11-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1111-1-1-1-111-1-111−ii−ii
χ1111-1-1-1111-1-1111-1-11-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1111-1-111-1-111-1-1−ii−ii
χ1211-1-1-1111-1-1111-1-11-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1111-1-1-1-111-1-111i−ii−i
χ1311-1-1-11-1-111111-1-11-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-1111-1-111-1-11i−i−ii
χ1411-1-1-11-1-111111-1-11-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111-111-1-111-1−iii−i
χ1511-1-1-11-1-111111-1-11-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-1111-1-111-1-11−iii−i
χ1611-1-1-11-1-111111-1-11-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111-111-1-111-1i−i−ii
χ172222222222222222222222222222220000000000000000222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-20000000000000000-2-22222000000000000
χ192222-2-20000222-2-2222-2-222000000000000000022-2-222-2-2-2-2000022220000000022-2-222-2-2-2-20000000000000000
χ202222-2-20000222-2-2222-2-2220000000000000000-2-222-2-222-2-20000222200000000-2-222-2-222-2-20000000000000000
χ212222-2-20000222-2-2222-2-222000000002i2i−2i−2i2i2i−2i−2i00000000-2-20000-2-2-2-22i2i−2i−2i2i2i−2i−2i00000000220000000000000000
χ222222-2-20000222-2-2222-2-22200000000−2i−2i2i2i−2i−2i2i2i00000000-2-20000-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000220000000000000000
χ2322-2-22-20000222222-2-2-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i2-2000022-2-2000000002i2i−2i−2i−2i−2i2i2i2-20000000000000000
χ2422-2-22-20000222222-2-2-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i2-2000022-2-200000000−2i−2i2i2i2i2i−2i−2i2-20000000000000000
χ2522-2-22-20000222222-2-2-2-2-2-20000000022-2-2-2-222000000002-20000-2-22222-2-2-2-22200000000-220000000000000000
χ2622-2-22-20000222222-2-2-2-2-2-200000000-2-22222-2-2000000002-20000-2-222-2-22222-2-200000000-220000000000000000
χ2722-2-2-2222-2-2222-2-22-2-222-2-22222-2-2-2-20000000000000000-2222-2-2-2-22200000000000000002-2-2-222000000000000
χ2822-2-2-22-2-222222-2-22-2-222-2-2-2-2-2-222220000000000000000-22-2-222-2-22200000000000000002-222-2-2000000000000
χ292-22i−2i002−2i2−i222-200-22i−2i002i−2i22−2−2i2i2−i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ−2ζ002ζ3−2ζ3002−2i2−i22-22i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ−2ζ002ζ3−2ζ3002−2i2−i2000000000000
χ302-22i−2i002−2i2−i222-200-22i−2i002i−2i22−2−2i2i2−i2−i21−i−1+i−1+i1−i−1−i1+i1+i−1−i2ζ3−2ζ3002ζ−2ζ00002−2i2−i2-22−2i2i1−i−1+i−1+i1−i−1−i1+i1+i−1−i2ζ3−2ζ3002ζ−2ζ0000−22−i2i2000000000000
χ312-22i−2i002−2i2−i222-200-22i−2i002i−2i22−2−2i2i2−i2−i2−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ32ζ300−2ζ2ζ00002−2i2−i2-22−2i2i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ32ζ300−2ζ2ζ0000−22−i2i2000000000000
χ322-22i−2i002−2i2−i222-200-22i−2i002i−2i22−2−2i2i2−i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ2ζ00−2ζ32ζ3002−2i2−i22-22i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ2ζ00−2ζ32ζ3002−2i2−i2000000000000
χ332-22i−2i00−22−i2i222-200-22i−2i002i−2i−2−222−i2−i2i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ2ζ00−2ζ32ζ300−22−i2i22-22i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ2ζ00−2ζ32ζ300−22−i2i2000000000000
χ342-22i−2i00−22−i2i222-200-22i−2i002i−2i−2−222−i2−i2i2i21−i−1+i−1+i1−i−1−i1+i1+i−1−i−2ζ32ζ300−2ζ2ζ0000−22−i2i2-22−2i2i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−2ζ32ζ300−2ζ2ζ00002−2i2−i2000000000000
χ352-22i−2i00−22−i2i222-200-22i−2i002i−2i−2−222−i2−i2i2i2−1+i1−i1−i−1+i1+i−1−i−1−i1+i2ζ3−2ζ3002ζ−2ζ0000−22−i2i2-22−2i2i−1+i1−i1−i−1+i1+i−1−i−1−i1+i2ζ3−2ζ3002ζ−2ζ00002−2i2−i2000000000000
χ362-22i−2i00−22−i2i222-200-22i−2i002i−2i−2−222−i2−i2i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ−2ζ002ζ3−2ζ300−22−i2i22-22i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ−2ζ002ζ3−2ζ300−22−i2i2000000000000
χ372-2−2i2i002−2−i2i222-200-2−2i2i00−2i2i22−2−2−i2−i2i2i21+i−1−i−1−i1+i−1+i1−i1−i−1+i−2ζ2ζ00−2ζ32ζ300002−2−i2i2-222i−2i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−2ζ2ζ00−2ζ32ζ30000−22i2−i2000000000000
χ382-2−2i2i002−2−i2i222-200-2−2i2i00−2i2i22−2−2−i2−i2i2i21−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2ζ32ζ300−2ζ2ζ002−2−i2i22-2−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2ζ32ζ300−2ζ2ζ002−2−i2i2000000000000
χ392-2−2i2i002−2−i2i222-200-2−2i2i00−2i2i22−2−2−i2−i2i2i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i002ζ3−2ζ3002ζ−2ζ002−2−i2i22-2−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i002ζ3−2ζ3002ζ−2ζ002−2−i2i2000000000000
χ402-2−2i2i002−2−i2i222-200-2−2i2i00−2i2i22−2−2−i2−i2i2i2−1−i1+i1+i−1−i1−i−1+i−1+i1−i2ζ−2ζ002ζ3−2ζ300002−2−i2i2-222i−2i−1−i1+i1+i−1−i1−i−1+i−1+i1−i2ζ−2ζ002ζ3−2ζ30000−22i2−i2000000000000
χ412-2−2i2i00−22i2−i222-200-2−2i2i00−2i2i−2−222i2i2−i2−i21+i−1−i−1−i1+i−1+i1−i1−i−1+i2ζ−2ζ002ζ3−2ζ30000−22i2−i2-222i−2i1+i−1−i−1−i1+i−1+i1−i1−i−1+i2ζ−2ζ002ζ3−2ζ300002−2−i2i2000000000000
χ422-2−2i2i00−22i2−i222-200-2−2i2i00−2i2i−2−222i2i2−i2−i21−i−1+i1−i−1+i1+i−1−i1+i−1−i002ζ3−2ζ3002ζ−2ζ00−22i2−i22-2−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i002ζ3−2ζ3002ζ−2ζ00−22i2−i2000000000000
χ432-2−2i2i00−22i2−i222-200-2−2i2i00−2i2i−2−222i2i2−i2−i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2ζ32ζ300−2ζ2ζ00−22i2−i22-2−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2ζ32ζ300−2ζ2ζ00−22i2−i2000000000000
χ442-2−2i2i00−22i2−i222-200-2−2i2i00−2i2i−2−222i2i2−i2−i2−1−i1+i1+i−1−i1−i−1+i−1+i1−i−2ζ2ζ00−2ζ32ζ30000−22i2−i2-222i−2i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−2ζ2ζ00−2ζ32ζ300002−2−i2i2000000000000
χ4544444444441-2111-2-2-21111111111112222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-2111-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ474444444444-21-2-2-2111-2-2-2-2-2-2-2-2-2-2-2-20000000000000000111111000000000000000000000000002222-1-1-1-10000
χ484444444444-21-2-2-2111-2-2-2-2-2-2-2-2-2-2-2-2000000000000000011111100000000000000000000000000-2-2-2-211110000
χ49444444-4-4-4-41-2111-2-2-21111-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-222220000-1-1-1-1-1-1-1-111111111000000000000000000
χ50444444-4-4-4-41-2111-2-2-21111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-22222000011111111-1-1-1-1-1-1-1-1000000000000000000
χ51444444-4-4-4-4-21-2-2-2111-2-2-2-222222222000000000000000011-1-1-1-1000000000000000000000000002-22-2-11-110000
χ52444444-4-4-4-4-21-2-2-2111-2-2-2-222222222000000000000000011-1-1-1-100000000000000000000000000-22-221-11-10000
χ534444-4-400001-21-1-1-2-2-2-1-1113i−3i3i−3i3i−3i3i−3i2i2i−2i−2i2i2i−2i−2i22-2-222-2-22200000000−i−iii−i−iii-1-111-1-111000000000000000000
χ544444-4-400001-21-1-1-2-2-2-1-1113i−3i3i−3i3i−3i3i−3i−2i−2i2i2i−2i−2i2i2i-2-222-2-2222200000000ii−i−iii−i−i11-1-111-1-1000000000000000000
χ554444-4-400001-21-1-1-2-2-2-1-111−3i3i−3i3i−3i3i−3i3i2i2i−2i−2i2i2i−2i−2i-2-222-2-2222200000000−i−iii−i−iii11-1-111-1-1000000000000000000
χ564444-4-400001-21-1-1-2-2-2-1-111−3i3i−3i3i−3i3i−3i3i−2i−2i2i2i−2i−2i2i2i22-2-222-2-22200000000ii−i−iii−i−i-1-111-1-111000000000000000000
χ5744-4-44-400001-2111-222-1-1-1-13i−3i3i−3i−3i3i−3i3i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i-2200000000-1-11111-1-1ii−i−i−i−iii000000000000000000
χ5844-4-44-400001-2111-222-1-1-1-13i−3i3i−3i−3i3i−3i3i-2-22222-2-22i2i−2i−2i−2i−2i2i2i-220000000011-1-1-1-111−i−iiiii−i−i000000000000000000
χ5944-4-44-400001-2111-222-1-1-1-1−3i3i−3i3i3i−3i3i−3i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i-2200000000-1-11111-1-1−i−iiiii−i−i000000000000000000
χ6044-4-44-400001-2111-222-1-1-1-1−3i3i−3i3i3i−3i3i−3i-2-22222-2-2−2i−2i2i2i2i2i−2i−2i-220000000011-1-1-1-111ii−i−i−i−iii000000000000000000
χ6144-4-4-4444-4-41-21-1-1-22211-1-11111-1-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-2-2-2220000−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ6244-4-4-4444-4-41-21-1-1-22211-1-11111-1-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2-2-2-2220000iiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ6344-4-4-4444-4-4-21-2221-1-1-2-222-2-2-2-222220000000000000000-1111-1-10000000000000000000000000022-2-2-1-1110000
χ6444-4-4-4444-4-4-21-2221-1-1-2-222-2-2-2-222220000000000000000-1111-1-100000000000000000000000000-2-22211-1-10000
χ6544-4-4-44-4-4441-21-1-1-22211-1-1-1-1-1-111112i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2-222-2-20000−i−i−i−iiiiiiiii−i−i−i−i000000000000000000
χ6644-4-4-44-4-4441-21-1-1-22211-1-1-1-1-1-11111−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2-222-2-20000iiii−i−i−i−i−i−i−i−iiiii000000000000000000
χ6744-4-4-44-4-444-21-2221-1-1-2-2222222-2-2-2-20000000000000000-11-1-111000000000000000000000000002-2-22-111-10000
χ6844-4-4-44-4-444-21-2221-1-1-2-2222222-2-2-2-20000000000000000-11-1-11100000000000000000000000000-222-21-1-110000
χ694-44i−4i0022−222i2−2i21-2-13-32−2i2i3i−3ii−i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ32-22i−2i−2i2i2-22ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ300−22−i2i20000-11−iii−i-11−ζ3ζ3−ζζ−ζζ−ζ3ζ3000000000000000000
χ704-44i−4i0022−222i2−2i21-2-13-32−2i2i3i−3ii−i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3-22−2i2i2i−2i-22−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ300−22−i2i200001-1i−i−ii1-1ζ3−ζ3ζ−ζζ−ζζ3−ζ3000000000000000000
χ714-44i−4i0022−222i2−2i21-2-1-332−2i2i−3i3ii−i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ32i−2i2-22-2−2i2i−2ζ32ζ32ζ−2ζ−2ζ2ζ2ζ3−2ζ300−22−i2i20000−ii-11-11i−iζ3−ζ3−ζζζ−ζ−ζ3ζ3000000000000000000
χ724-44i−4i0022−222i2−2i21-2-1-332−2i2i−3i3ii−i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3−2i2i-22-222i−2i2ζ3−2ζ3−2ζ2ζ2ζ−2ζ−2ζ32ζ300−22−i2i20000i−i1-11-1−ii−ζ3ζ3ζ−ζ−ζζζ3−ζ3000000000000000000
χ734-44i−4i00−2222−2i22i21-2-13-32−2i2i3i−3ii−i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ32-22i−2i−2i2i2-2−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3002−2i2−i20000-11−iii−i-11ζ3−ζ3ζ−ζζ−ζζ3−ζ3000000000000000000
χ744-44i−4i00−2222−2i22i21-2-13-32−2i2i3i−3ii−i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3-22−2i2i2i−2i-222ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ3002−2i2−i200001-1i−i−ii1-1−ζ3ζ3−ζζ−ζζ−ζ3ζ3000000000000000000
χ754-44i−4i00−2222−2i22i21-2-1-332−2i2i−3i3ii−iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ32i−2i2-22-2−2i2i2ζ3−2ζ3−2ζ2ζ2ζ−2ζ−2ζ32ζ3002−2i2−i20000−ii-11-11i−i−ζ3ζ3ζ−ζ−ζζζ3−ζ3000000000000000000
χ764-44i−4i00−2222−2i22i21-2-1-332−2i2i−3i3ii−iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3−2i2i-22-222i−2i−2ζ32ζ32ζ−2ζ−2ζ2ζ2ζ3−2ζ3002−2i2−i20000i−i1-11-1−iiζ3−ζ3−ζζζ−ζ−ζ3ζ3000000000000000000
χ774-4−4i4i0022−22−2i22i21-2-13-322i−2i−3i3i−ii−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ32-2−2i2i2i−2i2-2−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ00−22i2−i20000-11i−i−ii-11ζ−ζζ3−ζ3ζ3−ζ3ζ−ζ000000000000000000
χ784-4−4i4i0022−22−2i22i21-2-13-322i−2i−3i3i−ii−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3-222i−2i−2i2i-222ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ00−22i2−i200001-1−iii−i1-1−ζζ−ζ3ζ3−ζ3ζ3−ζζ000000000000000000
χ794-4−4i4i0022−22−2i22i21-2-1-3322i−2i3i−3i−ii2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ32i−2i-22-22−2i2i−2ζ2ζ2ζ3−2ζ3−2ζ32ζ32ζ−2ζ00−22i2−i20000−ii1-11-1i−iζ−ζ−ζ3ζ3ζ3−ζ3−ζζ000000000000000000
χ804-4−4i4i0022−22−2i22i21-2-1-3322i−2i3i−3i−ii2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3−2i2i2-22-22i−2i2ζ−2ζ−2ζ32ζ32ζ3−2ζ3−2ζ2ζ00−22i2−i20000i−i-11-11−ii−ζζζ3−ζ3−ζ3ζ3ζ−ζ000000000000000000
χ814-4−4i4i00−22222i2−2i21-2-13-322i−2i−3i3i−iiζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ32-2−2i2i2i−2i2-22ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ002−2−i2i20000-11i−i−ii-11−ζζ−ζ3ζ3−ζ3ζ3−ζζ000000000000000000
χ824-4−4i4i00−22222i2−2i21-2-13-322i−2i−3i3i−iiζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3-222i−2i−2i2i-22−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ002−2−i2i200001-1−iii−i1-1ζ−ζζ3−ζ3ζ3−ζ3ζ−ζ000000000000000000
χ834-4−4i4i00−22222i2−2i21-2-1-3322i−2i3i−3i−ii−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ32i−2i-22-22−2i2i2ζ−2ζ−2ζ32ζ32ζ3−2ζ3−2ζ2ζ002−2−i2i20000−ii1-11-1i−i−ζζζ3−ζ3−ζ3ζ3ζ−ζ000000000000000000
χ844-4−4i4i00−22222i2−2i21-2-1-3322i−2i3i−3i−ii−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3−2i2i2-22-22i−2i−2ζ2ζ2ζ3−2ζ3−2ζ32ζ32ζ−2ζ002−2−i2i20000i−i-11-11−iiζ−ζ−ζ3ζ3ζ3−ζ3−ζζ000000000000000000
χ858888-8-80000-42-44422244-4-4000000000000000000000000-2-2000000000000000000000000000000000000000000
χ8688-8-88-80000-42-4-4-42-2-244440000000000000000000000002-2000000000000000000000000000000000000000000
χ878-88i−8i0042−424i2−4i2-42400-22i−2i00−4i4i−22−222222−2i2−2i22i22i20000000000000000002−2i2−i200000000000000000000000000000000000000
χ888-88i−8i00−4242−4i24i2-42400-22i−2i00−4i4i2222−22−222i22i2−2i2−2i2000000000000000000−22−i2i200000000000000000000000000000000000000
χ898-8−8i8i0042−42−4i24i2-42400-2−2i2i004i−4i−22−2222222i22i2−2i2−2i20000000000000000002−2−i2i200000000000000000000000000000000000000
χ908-8−8i8i00−42424i2−4i2-42400-2−2i2i004i−4i2222−22−22−2i2−2i22i22i2000000000000000000−22i2−i200000000000000000000000000000000000000

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