Finite Group Databasebeta

← Group #10590862

Character table — Group #10590862

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222222222222222222244444444444444444444446666666666666666666666662424242424247272
order122233446666668888121212122424242424242424366612121212121224242424242424242424242444448888121212121212121224242424242424242466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-11
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1111-1
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-11-1
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-11
χ9222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-200000000000022-2-200002222-2-2-2-20000000000000000
χ10222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-2000000000000-2-2220000-2-2-2-222220000000000000000
χ1122222-122-1-1222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-100
χ1222222-122-1-1222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2111100
χ1322222-122-1-1222-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2-1-11100
χ1422222-122-1-1222-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2211-1-100
χ152222-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ162222-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000
χ172222-122222-1-1-12-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ182222-122222-1-1-12-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ192222-12-2-222-1-1-12000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−300000000
χ202222-12-2-222-1-1-12000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−3333300000000
χ212222-12-2-222-1-1-1200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−3333322-2-20000-1-1-1-11111−3−3−3−3333300000000
χ222222-12-2-222-1-1-1200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−33333-2-22200001111-1-1-1-13333−3−3−3−300000000
χ2322-2-222002-2-22-2-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i22−2−200002i2i−2i−2i22−2−222−2−200000000
χ2422-2-222002-2-22-2-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i−2−2220000−2i−2i2i2i−2−222−2−22200000000
χ2522-2-222002-2-22-2-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i−2−22200002i2i−2i−2i−2−222−2−22200000000
χ2622-2-222002-2-22-2-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i22−2−20000−2i−2i2i2i22−2−222−2−200000000
χ2722-2-2-12002-21-11-2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-11103−303−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002i−2i22−2−2−i3−i3i3i3−i−iiiζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000
χ2822-2-2-12002-21-11-2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-11103−303−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−2i2i−2−222i3i3−i3−i3ii−i−i−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000
χ2922-2-2-12002-21-11-2−i2−i2i2i2−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-1110−330−33−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002i−2i22−2−2i3i3−i3−i3−i−iiiζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000000
χ3022-2-2-12002-21-11-2−i2−i2i2i2−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-1110−330−33−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−2i2i−2−222−i3−i3i3i3ii−i−i−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000
χ3122-2-2-12002-21-11-2i2i2−i2−i23−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-11103−303−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002i−2i−2−222−i3−i3i3i3−i−iii−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000
χ3222-2-2-12002-21-11-2i2i2−i2−i23−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-11103−303−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−2i2i22−2−2i3i3−i3−i3ii−i−iζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000
χ3322-2-2-12002-21-11-2i2i2−i2−i2−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-1110−330−33i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002i−2i−2−222i3i3−i3−i3−i−iii−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000
χ3422-2-2-12002-21-11-2i2i2−i2−i2−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-1110−330−33i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−2i2i22−2−2−i3−i3i3i3ii−i−iζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000000
χ352-22-22200-22-2-22-2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i22-22-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i002−22−22i−2i2i−2i00002−22−22−22−200000000
χ362-22-22200-22-2-22-2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i22-22-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−2i2i00−22−22−2i2i−2i2i0000−22−22−22−2200000000
χ372-22-22200-22-2-22-2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i22-22-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i00−22−222i−2i2i−2i0000−22−22−22−2200000000
χ382-22-22200-22-2-22-2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i22-22-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i2i002−22−2−2i2i−2i2i00002−22−22−22−200000000
χ392-22-2-1200-2211-1-2−i2i2−i2i23−3−33ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-11-110−3303−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232i−2i002−22−2−ii−ii−i3i3−i3i3ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700000000
χ402-22-2-1200-2211-1-2−i2i2−i2i23−3−33ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-11-110−3303−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−2i2i00−22−22i−ii−ii3−i3i3−i3−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700000000
χ412-22-2-1200-2211-1-2−i2i2−i2i2−333−3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-11-1103−30−33−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72i−2i002−22−2−ii−iii3−i3i3−i3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000000
χ422-22-2-1200-2211-1-2−i2i2−i2i2−333−3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-11-1103−30−33−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−2i2i00−22−22i−ii−i−i3i3−i3i3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000000
χ432-22-2-1200-2211-1-2i2−i2i2−i23−3−33−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-11-110−3303−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232i−2i00−22−22−ii−ii−i3i3−i3i3−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700000000
χ442-22-2-1200-2211-1-2i2−i2i2−i23−3−33−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-11-110−3303−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−2i2i002−22−2i−ii−ii3−i3i3−i3ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700000000
χ452-22-2-1200-2211-1-2i2−i2i2−i2−333−3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-11-1103−30−33i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72i−2i00−22−22−ii−iii3−i3i3−i3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000000
χ462-22-2-1200-2211-1-2i2−i2i2−i2−333−3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-11-1103−30−33i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−2i2i002−22−2i−ii−i−i3i3−i3i3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000000
χ472-2-22222-2-2-22-2-222-2-2222-2-22-2-222-2-222-2-22-2-2-22222-2-222-2-222-2-2200000000000000000000000000000000
χ482-2-22222-2-2-22-2-22-222-222-2-2-222-2-222-22-2-22-2-2-2222-222-2-222-2-222-200000000000000000000000000000000
χ492-2-2222-22-2-22-2-220000-2-222000000002-2-22222-2-2-200000000000000002-2-22000000002-2-222-2-2200000000
χ502-2-2222-22-2-22-2-220000-2-222000000002-2-22222-2-2-20000000000000000-222-200000000-222-2-222-200000000
χ512-2-222-12-2112-2-2-12-2-2222-2-22-2-222-2-22-111-1111-1-1-1-111-1-111-1-111-100000000000000000000000000−i3i3−i3i300
χ522-2-222-12-2112-2-2-12-2-2222-2-22-2-222-2-22-111-1111-1-1-1-111-1-111-1-111-100000000000000000000000000i3−i3i3−i300
χ532-2-222-12-2112-2-2-1-222-222-2-2-222-2-222-2-111-1111-1-1-11-1-111-1-111-1-1100000000000000000000000000−i3i3i3−i300
χ542-2-222-12-2112-2-2-1-222-222-2-2-222-2-222-2-111-1111-1-1-11-1-111-1-111-1-1100000000000000000000000000i3−i3−i3i300
χ552-2-22-122-2-2-2-11122-2-22-1-111-111-1-111-1-111-1-2112-1-12-2-22-111-1-111-1000000003−3−33−333−3−333−33−3−3300000000
χ562-2-22-122-2-2-2-11122-2-22-1-111-111-1-111-1-111-1-2112-1-12-2-22-111-1-111-100000000−333−33−3−333−3−33−333−300000000
χ572-2-22-122-2-2-2-1112-222-2-1-1111-1-111-1-11-111-1-2112-1-1-222-21-1-111-1-11000000003−3−33−333−33−3−33−333−300000000
χ582-2-22-122-2-2-2-1112-222-2-1-1111-1-111-1-11-111-1-2112-1-1-222-21-1-111-1-1100000000−333−33−3−33−333−33−3−3300000000
χ592-2-22-12-22-2-2-1112000011-1-13−3−33−333−3-111-12-1-1-21100003−3−33−333−300002-2-223−3−333−3−33-111-1-111-100000000
χ602-2-22-12-22-2-2-1112000011-1-13−3−33−333−3-111-12-1-1-21100003−3−33−333−30000-222-2−333−3−333−31-1-111-1-1100000000
χ612-2-22-12-22-2-2-1112000011-1-1−333−33−3−33-111-12-1-1-2110000−333−33−3−3300002-2-22−333−3−333−3-111-1-111-100000000
χ622-2-22-12-22-2-2-1112000011-1-1−333−33−3−33-111-12-1-1-2110000−333−33−3−330000-222-23−3−333−3−331-1-111-1-1100000000
χ6344444-2-4-4-2-2444-20000-4-4-4-400000000-2-2-2-222222200000000000000000000000000000000000000000000
χ644444-2-244-2-2-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-21111-211-211-2-2-2-21111111100000000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2-4-4-4-4-2-2-2-2222222221111-211-2112222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-20000222223232323−23−23−23−2311112-1-12-1-10000−3−3−3−3333300000000000000000000000000000000
χ674444-2-2-4-4-2-2-2-2-2-200002222−23−23−23−232323232311112-1-12-1-100003333−3−3−3−300000000000000000000000000000000
χ6844-4-44-200-22-44-42−2i2−2i22i22i20000−2i2−2i22i22i2−2i2−2i22i22i2-2-222000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ6944-4-44-200-22-44-422i22i2−2i2−2i200002i22i2−2i2−2i22i22i2−2i2−2i2-2-222000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7044-4-4-2-200-222-222−2i2−2i22i22i223−2323−232ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ2311-1-10−330−33i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000000000000000000000000000000
χ7144-4-4-2-200-222-222−2i2−2i22i22i2−2323−23232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ711-1-103−303−3i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700000000000000000000000000000000
χ7244-4-4-2-200-222-2222i22i2−2i2−2i223−2323−23−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ2311-1-10−330−33−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000000000000000000000000000000
χ7344-4-4-2-200-222-2222i22i2−2i2−2i2−2323−2323−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ711-1-103−303−3−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700000000000000000000000000000000
χ744-44-44-2002-2-4-442−2i22i2−2i22i20000−2i22i2−2i22i2−2i22i2−2i22i2-22-22000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ754-44-44-2002-2-4-4422i2−2i22i2−2i200002i2−2i22i2−2i22i2−2i22i2−2i2-22-22000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ764-44-4-2-2002-222-22−2i22i2−2i22i223−23−23232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ231-11-103−30−33i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000000000000000000000000000
χ774-44-4-2-2002-222-22−2i22i2−2i22i2−232323−232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ71-11-10−3303−3i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000000000000000000000000000
χ784-44-4-2-2002-222-222i2−2i22i2−2i223−23−2323−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ231-11-103−30−33−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000000000000000000000000000
χ794-44-4-2-2002-222-222i2−2i22i2−2i2−232323−23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ71-11-10−3303−3−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000000000000000000000000000
χ804-4-444-2-44224-4-4-20000-4-44400000000-222-2-2-2-222200000000000000000000000000000000000000000000
χ814-4-44-2-24-422-222-24-4-44-2-222-222-2-222-21-1-112-1-1-211-222-21-1-111-1-1100000000000000000000000000000000
χ824-4-44-2-24-422-222-2-444-4-2-2222-2-222-2-221-1-112-1-1-2112-2-22-111-1-111-100000000000000000000000000000000
χ834-4-44-2-2-4422-222-2000022-2-223−23−2323−232323−231-1-11-2112-1-10000−333−33−3−3300000000000000000000000000000000
χ844-4-44-2-2-4422-222-2000022-2-2−232323−2323−23−23231-1-11-2112-1-100003−3−33−333−300000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.