Finite Group Databasebeta

← Group #11785446

Character table — Group #11785446

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order12442488883366661212121212122424242424242424222244448888888861224242424224466661212121224242424242424242488888888242424248888
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
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1
χ911-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1111-1-1i−ii−ii−ii−ii−ii−i
χ1011-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1111-1-1−ii−ii−ii−ii−ii−ii
χ1111-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1111-1-111-1-1-1-111-1-111-1-1-1-11111-1111-1-1i−ii−ii−ii−i−ii−ii
χ1211-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1111-1-111-1-1-1-111-1-111-1-1-1-11111-1111-1-1−ii−ii−ii−iii−ii−i
χ1311-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-11-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1-111i−i−iii−i−iii−i−ii
χ1411-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-11-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1-111−iii−i−iii−i−iii−i
χ1511-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1-111i−i−iii−i−ii−iii−i
χ1611-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1-111−iii−i−iii−ii−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
χ192222-2-2000022-2-22222-2-22200000000000000002i2i−2i−2i2i2i−2i−2i-2-20000-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i220000000000000000
χ202222-2-2000022-2-22222-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i-2-20000-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i220000000000000000
χ212222-2-2000022-2-22222-2-2220000000022-2-2-2-22200000000-2-20000222222-2-2-2-22200000000-2-20000000000000000
χ222222-2-2000022-2-22222-2-22200000000-2-22222-2-200000000-2-200002222-2-22222-2-200000000-2-20000000000000000
χ2322-2-22-20000222222-2-2-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i2-20000-2-222000000002i2i−2i−2i−2i−2i2i2i-220000000000000000
χ2422-2-22-20000222222-2-2-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i2-20000-2-22200000000−2i−2i2i2i2i2i−2i−2i-220000000000000000
χ2522-2-22-20000222222-2-2-2-2-2-2000000002222-2-2-2-2000000002-2000022-2-22222-2-2-2-2000000002-20000000000000000
χ2622-2-22-20000222222-2-2-2-2-2-200000000-2-2-2-22222000000002-2000022-2-2-2-2-2-22222000000002-20000000000000000
χ2722-2-2-2222-2-222-2-222-2-222-2-22222-2-2-2-20000000000000000-2222-2-2-2-22200000000000000002-2-2-222000000000000
χ2822-2-2-22-2-22222-2-222-2-222-2-2-2-2-2-222220000000000000000-22-2-222-2-22200000000000000002-222-2-2000000000000
χ292-22i−2i00i2−i22−22200-2-22i−2i002i−2ii2i2−i2−i222−2−2002-22i−2i002−22−2i2−i2i2−i200i2−i22−22-22i−2i002-22i−2i002−22−2i2−i2i2−i200i2−i22−2000000000000
χ302-22i−2i00i2−i22−22200-2-22i−2i002i−2ii2i2−i2−i222−2−200-22−2i2i00−22−22−i2i2−i2i200i2−i22−22-22i−2i00-22−2i2i00−22−22−i2i2−i2i200i2−i22−2000000000000
χ312-22i−2i00i2−i22−22200-2-22i−2i002i−2ii2i2−i2−i222−2−22-200002i−2ii2−i2−i2i2−222−200i2−i22−2-22−2i2i2-200002i−2ii2−i2−i2i2−222−200−i2i2−22000000000000
χ322-22i−2i00i2−i22−22200-2-22i−2i002i−2ii2i2−i2−i222−2−2-220000−2i2i−i2i2i2−i22−2−2200i2−i22−2-22−2i2i-220000−2i2i−i2i2i2−i22−2−2200−i2i2−22000000000000
χ332-22i−2i00−i2i2−222200-2-22i−2i002i−2i−i2−i2i2i2−2−222002-22i−2i00−22−22−i2i2−i2i200−i2i2−222-22i−2i002-22i−2i00−22−22−i2i2−i2i200−i2i2−22000000000000
χ342-22i−2i00−i2i2−222200-2-22i−2i002i−2i−i2−i2i2i2−2−22200-22−2i2i002−22−2i2−i2i2−i200−i2i2−222-22i−2i00-22−2i2i002−22−2i2−i2i2−i200−i2i2−22000000000000
χ352-22i−2i00−i2i2−222200-2-22i−2i002i−2i−i2−i2i2i2−2−2222-200002i−2i−i2i2i2−i22−2−2200−i2i2−22-22−2i2i2-200002i−2i−i2i2i2−i22−2−2200i2−i22−2000000000000
χ362-22i−2i00−i2i2−222200-2-22i−2i002i−2i−i2−i2i2i2−2−222-220000−2i2ii2−i2−i2i2−222−200−i2i2−22-22−2i2i-220000−2i2ii2−i2−i2i2−222−200i2−i22−2000000000000
χ372-2−2i2i00i2−i2−222200-2-2−2i2i00−2i2ii2i2−i2−i2−2−222002-2−2i2i00−22−22i2−i2i2−i200i2−i2−222-2−2i2i002-2−2i2i00−22−22i2−i2i2−i200i2−i2−22000000000000
χ382-2−2i2i00i2−i2−222200-2-2−2i2i00−2i2ii2i2−i2−i2−2−22200-222i−2i002−22−2−i2i2−i2i200i2−i2−222-2−2i2i00-222i−2i002−22−2−i2i2−i2i200i2−i2−22000000000000
χ392-2−2i2i00i2−i2−222200-2-2−2i2i00−2i2ii2i2−i2−i2−2−2222-20000−2i2ii2−i2−i2i22−2−2200i2−i2−22-222i−2i2-20000−2i2ii2−i2−i2i22−2−2200−i2i22−2000000000000
χ402-2−2i2i00i2−i2−222200-2-2−2i2i00−2i2ii2i2−i2−i2−2−222-2200002i−2i−i2i2i2−i2−222−200i2−i2−22-222i−2i-2200002i−2i−i2i2i2−i2−222−200−i2i22−2000000000000
χ412-2−2i2i00−i2i22−22200-2-2−2i2i00−2i2i−i2−i2i2i222−2−2002-2−2i2i002−22−2−i2i2−i2i200−i2i22−22-2−2i2i002-2−2i2i002−22−2−i2i2−i2i200−i2i22−2000000000000
χ422-2−2i2i00−i2i22−22200-2-2−2i2i00−2i2i−i2−i2i2i222−2−200-222i−2i00−22−22i2−i2i2−i200−i2i22−22-2−2i2i00-222i−2i00−22−22i2−i2i2−i200−i2i22−2000000000000
χ432-2−2i2i00−i2i22−22200-2-2−2i2i00−2i2i−i2−i2i2i222−2−22-20000−2i2i−i2i2i2−i2−222−200−i2i22−2-222i−2i2-20000−2i2i−i2i2i2−i2−222−200i2−i2−22000000000000
χ442-2−2i2i00−i2i22−22200-2-2−2i2i00−2i2i−i2−i2i2i222−2−2-2200002i−2ii2−i2−i2i22−2−2200−i2i22−2-222i−2i-2200002i−2ii2−i2−i2i22−2−2200i2−i2−22000000000000
χ4544444444441-2-2-21-2-2-2-2-211-2-2-2-2-2-2-2-20000000000000000111111000000000000000000000000002222-1-1-1-10000
χ4644444444441-2-2-21-2-2-2-2-211-2-2-2-2-2-2-2-2000000000000000011111100000000000000000000000000-2-2-2-211110000
χ474444444444-2111-211111-2-2111111112222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ484444444444-2111-211111-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ49444444-4-4-4-41-2-2-21-2-2-2-2-21122222222000000000000000011-1-1-1-10000000000000000000000000022-2-2-1-1110000
χ50444444-4-4-4-41-2-2-21-2-2-2-2-21122222222000000000000000011-1-1-1-100000000000000000000000000-2-22211-1-10000
χ51444444-4-4-4-4-2111-211111-2-2-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-222220000-1-1-1-1-1-1-1-111111111000000000000000000
χ52444444-4-4-4-4-2111-211111-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-22222000011111111-1-1-1-1-1-1-1-1000000000000000000
χ534444-4-40000-21-1-1-2111-1-1-2-23i−3i3i−3i3i−3i3i−3i22-2-2-2-2222i2i−2i−2i2i2i−2i−2i2200000000-1-11111-1-1−i−iii−i−iii000000000000000000
χ544444-4-40000-21-1-1-2111-1-1-2-23i−3i3i−3i3i−3i3i−3i-2-22222-2-2−2i−2i2i2i−2i−2i2i2i220000000011-1-1-1-111ii−i−iii−i−i000000000000000000
χ554444-4-40000-21-1-1-2111-1-1-2-2−3i3i−3i3i−3i3i−3i3i22-2-2-2-222−2i−2i2i2i−2i−2i2i2i2200000000-1-11111-1-1ii−i−iii−i−i000000000000000000
χ564444-4-40000-21-1-1-2111-1-1-2-2−3i3i−3i3i−3i3i−3i3i-2-22222-2-22i2i−2i−2i2i2i−2i−2i220000000011-1-1-1-111−i−iii−i−iii000000000000000000
χ5744-4-44-40000-2111-21-1-1-1-1223i−3i3i−3i−3i3i−3i3i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i-2200000000-1-1-1-11111−i−iiiii−i−i000000000000000000
χ5844-4-44-40000-2111-21-1-1-1-1223i−3i3i−3i−3i3i−3i3i-2-2-2-22222−2i−2i2i2i2i2i−2i−2i-22000000001111-1-1-1-1ii−i−i−i−iii000000000000000000
χ5944-4-44-40000-2111-21-1-1-1-122−3i3i−3i3i3i−3i3i−3i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2200000000-1-1-1-11111ii−i−i−i−iii000000000000000000
χ6044-4-44-40000-2111-21-1-1-1-122−3i3i−3i3i3i−3i3i−3i-2-2-2-222222i2i−2i−2i−2i−2i2i2i-22000000001111-1-1-1-1−i−iiiii−i−i000000000000000000
χ6144-4-4-4444-4-41-2221-222-2-2-1-1-2-2-2-222220000000000000000-1111-1-1000000000000000000000000002i−2i2i−2i−ii−ii0000
χ6244-4-4-4444-4-41-2221-222-2-2-1-1-2-2-2-222220000000000000000-1111-1-100000000000000000000000000−2i2i−2i2ii−ii−i0000
χ6344-4-4-4444-4-4-21-1-1-21-1-111221111-1-1-1-122-2-222-2-22222-2-2-2-22-2-2-2220000-1-111-1-111-1-1-1-11111000000000000000000
χ6444-4-4-4444-4-4-21-1-1-21-1-111221111-1-1-1-1-2-222-2-222-2-2-2-222222-2-2-222000011-1-111-1-11111-1-1-1-1000000000000000000
χ6544-4-4-44-4-4441-2221-222-2-2-1-12222-2-2-2-20000000000000000-11-1-111000000000000000000000000002i−2i−2i2i−iii−i0000
χ6644-4-4-44-4-4441-2221-222-2-2-1-12222-2-2-2-20000000000000000-11-1-11100000000000000000000000000−2i2i2i−2ii−i−ii0000
χ6744-4-4-44-4-444-21-1-1-21-1-11122-1-1-1-1111122-2-222-2-2-2-2-2-222222-222-2-20000-1-111-1-1111111-1-1-1-1000000000000000000
χ6844-4-4-44-4-444-21-1-1-21-1-11122-1-1-1-11111-2-222-2-2222222-2-2-2-22-222-2-2000011-1-111-1-1-1-1-1-11111000000000000000000
χ694-44i−4i002i2−2i222−22-213-32-1i−i3i−3i−2i2i2ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32-22-22i−2i2i−2i2ζ−2ζ−2ζ32ζ32ζ3−2ζ32ζ−2ζ00−i2i2−220000-11-11−ii−ii−ζζζ3−ζ3−ζ3ζ3−ζζ000000000000000000
χ704-44i−4i002i2−2i222−22-213-32-1i−i3i−3i−2i2i2ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3-22-22−2i2i−2i2i−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ2ζ00−i2i2−2200001-11-1i−ii−iζ−ζ−ζ3ζ3ζ3−ζ3ζ−ζ000000000000000000
χ714-44i−4i002i2−2i222−22-21-332-1i−i−3i3i−2i2i−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ32ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32-2-22−2i2i2i−2i2ζ3−2ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ300−i2i2−220000-111-1i−i−ii−ζ3ζ3ζ−ζζ−ζζ3−ζ3000000000000000000
χ724-44i−4i002i2−2i222−22-21-332-1i−i−3i3i−2i2i−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ32ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3-222-22i−2i−2i2i−2ζ32ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ300−i2i2−2200001-1-11−iii−iζ3−ζ3−ζζ−ζζ−ζ3ζ3000000000000000000
χ734-44i−4i00−2i22i2−2222-213-32-1i−i3i−3i−2i2i−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32-22-22i−2i2i−2i−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ2ζ00i2−i22−20000-11-11−ii−iiζ−ζ−ζ3ζ3ζ3−ζ3ζ−ζ000000000000000000
χ744-44i−4i00−2i22i2−2222-213-32-1i−i3i−3i−2i2i−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3-22-22−2i2i−2i2i2ζ−2ζ−2ζ32ζ32ζ3−2ζ32ζ−2ζ00i2−i22−200001-11-1i−ii−i−ζζζ3−ζ3−ζ3ζ3−ζζ000000000000000000
χ754-44i−4i00−2i22i2−2222-21-332-1i−i−3i3i−2i2iζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32-2-22−2i2i2i−2i−2ζ32ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ300i2−i22−20000-111-1i−i−iiζ3−ζ3−ζζ−ζζ−ζ3ζ3000000000000000000
χ764-44i−4i00−2i22i2−2222-21-332-1i−i−3i3i−2i2iζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3-222-22i−2i−2i2i2ζ3−2ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ300i2−i22−200001-1-11−iii−i−ζ3ζ3ζ−ζζ−ζζ3−ζ3000000000000000000
χ774-4−4i4i002i2−2i2−2222-213-32-1−ii−3i3i2i−2i−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32-22-2−2i2i−2i2i2ζ3−2ζ3−2ζ2ζ2ζ−2ζ2ζ3−2ζ300−i2i22−20000-11-11i−ii−i−ζ3ζ3ζ−ζ−ζζ−ζ3ζ3000000000000000000
χ784-4−4i4i002i2−2i2−2222-213-32-1−ii−3i3i2i−2i−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3-22-222i−2i2i−2i−2ζ32ζ32ζ−2ζ−2ζ2ζ−2ζ32ζ300−i2i22−200001-11-1−ii−iiζ3−ζ3−ζζζ−ζζ3−ζ3000000000000000000
χ794-4−4i4i002i2−2i2−2222-21-332-1−ii3i−3i2i−2i2ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32-2-222i−2i−2i2i2ζ−2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ00−i2i22−20000-111-1−iii−i−ζζζ3−ζ3ζ3−ζ3ζ−ζ000000000000000000
χ804-4−4i4i002i2−2i2−2222-21-332-1−ii3i−3i2i−2i2ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3-222-2−2i2i2i−2i−2ζ2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ00−i2i22−200001-1-11i−i−iiζ−ζ−ζ3ζ3−ζ3ζ3−ζζ000000000000000000
χ814-4−4i4i00−2i22i222−22-213-32-1−ii−3i3i2i−2iζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ32ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32-22-2−2i2i−2i2i−2ζ32ζ32ζ−2ζ−2ζ2ζ−2ζ32ζ300i2−i2−220000-11-11i−ii−iζ3−ζ3−ζζζ−ζζ3−ζ3000000000000000000
χ824-4−4i4i00−2i22i222−22-213-32-1−ii−3i3i2i−2iζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ32ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3-22-222i−2i2i−2i2ζ3−2ζ3−2ζ2ζ2ζ−2ζ2ζ3−2ζ300i2−i2−2200001-11-1−ii−ii−ζ3ζ3ζ−ζ−ζζ−ζ3ζ3000000000000000000
χ834-4−4i4i00−2i22i222−22-21-332-1−ii3i−3i2i−2i−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32-2-222i−2i−2i2i−2ζ2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ00i2−i2−220000-111-1−iii−iζ−ζ−ζ3ζ3−ζ3ζ3−ζζ000000000000000000
χ844-4−4i4i00−2i22i222−22-21-332-1−ii3i−3i2i−2i−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3-222-2−2i2i2i−2i2ζ−2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ00i2−i2−2200001-1-11i−i−ii−ζζζ3−ζ3ζ3−ζ3ζ−ζ000000000000000000
χ858888-8-800002-4442-4-4-44422000000000000000000000000-2-2000000000000000000000000000000000000000000
χ8688-8-88-800002-4-4-42-44444-2-20000000000000000000000002-2000000000000000000000000000000000000000000
χ878-88i−8i004i2−4i242−422-400-24−4i4i002i−2i−2i2−2i22i22i2−22−222222000000000000000000i2−i22−200000000000000000000000000000000000000
χ888-88i−8i00−4i24i2−42422-400-24−4i4i002i−2i2i22i2−2i2−2i22222−22−22000000000000000000−i2i2−2200000000000000000000000000000000000000
χ898-8−8i8i004i2−4i2−42422-400-244i−4i00−2i2i−2i2−2i22i22i22222−22−22000000000000000000i2−i2−2200000000000000000000000000000000000000
χ908-8−8i8i00−4i24i242−422-400-244i−4i00−2i2i2i22i2−2i2−2i2−22−222222000000000000000000−i2i22−200000000000000000000000000000000000000

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