Finite Group Databasebeta

← Group #13167372

Character table — Group #13167372

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222224444888888888888888888888899181818181818181818181818181818181818181818181818181818181818181818181872727272144144144144
order123468812122424242433663366121212121212242424242424242424242424224444466888888121212121212121212122424242424242424242424242244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11-11-1
χ411111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-11-11
χ511111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11
χ611111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1
χ711111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1
χ811111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111
χ9222222222222222222222222222222222222222-2-20000-2-2-2-2-2000000000000-2-2-2-2-2-20000000000000000
χ1022222-2-222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-222000000000000-2-222220000000000000000
χ11222-2200-2-2000022222222-2-2-2-2-2-20000000000002222-2-2-2220000002222-2-2-2-2-2-200000000000000000000
χ12222-2200-2-2000022222222-2-2-2-2-2-200000000000022-2-222-222000000-2-2-2-22222-2-200000000000000000000
χ13222-2200-2-2000022222222-2-2-2-2-2-2000000000000-2-200002-2-20022-2-2000000002200002222-2-2-2-200000000
χ14222-2200-2-2000022222222-2-2-2-2-2-2000000000000-2-200002-2-200-2-22200000000220000-2-2-2-2222200000000
χ1522-12-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1622-12-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-2-22-1-122-2-2-2-211111111-1-1-1-1-1-11111111100000000
χ1722-12-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-211-2-2000033−3−333−3−311111133−3−333−3−300000000
χ1822-12-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-211-2-20000−3−333−3−333111111−3−333−3−33300000000
χ1922-12-1-2-2-1-111112222-1-1-1-122-1-1-1-1-2-2-2-2111111112222222-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000
χ2022-12-1-2-2-1-111112222-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-2-2-22-1-1-2-2222211111111-1-11111-1-1-1-1-1-1-1-100000000
χ2122-12-1-2-2-1-111112222-1-1-1-122-1-1-1-1-2-2-2-211111111-2-20000-21122000033−3−333−3−311-1-1-1-1−3−333−3−33300000000
χ2222-12-1-2-2-1-111112222-1-1-1-122-1-1-1-1-2-2-2-211111111-2-20000-211220000−3−333−3−33311-1-1-1-133−3−333−3−300000000
χ2322-1-2-1001133−3−32222-1-1-1-1-2-2111100003333−3−3−3−32222-2-2-2-1-1000000-1-1-1-111111133−3−333−3−3−3−33300000000
χ2422-1-2-1001133−3−32222-1-1-1-1-2-2111100003333−3−3−3−322-2-222-2-1-10000001111-1-1-1-11133−3−3−3−33333−3−300000000
χ2522-1-2-1001133−3−32222-1-1-1-1-2-2111100003333−3−3−3−3-2-200002110022-2-2−3−33333−3−3-1-1−3−333-1-1-1-1111100000000
χ2622-1-2-1001133−3−32222-1-1-1-1-2-2111100003333−3−3−3−3-2-2000021100-2-22233−3−3−3−333-1-1−3−3331111-1-1-1-100000000
χ2722-1-2-10011−3−3332222-1-1-1-1-2-211110000−3−3−3−333332222-2-2-2-1-1000000-1-1-1-1111111−3−333−3−33333−3−300000000
χ2822-1-2-10011−3−3332222-1-1-1-1-2-211110000−3−3−3−3333322-2-222-2-1-10000001111-1-1-1-111−3−33333−3−3−3−33300000000
χ2922-1-2-10011−3−3332222-1-1-1-1-2-211110000−3−3−3−33333-2-200002110022-2-233−3−3−3−333-1-133−3−3-1-1-1-1111100000000
χ3022-1-2-10011−3−3332222-1-1-1-1-2-211110000−3−3−3−33333-2-2000021100-2-222−3−33333−3−3-1-133−3−31111-1-1-1-100000000
χ312-220-2−i2i200−i2i2−i2i222-2-222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2002i−2i02-2−i2i22−22−200002i−2i2i−2i00−i2i2−i2i22−22−22−22−200000000
χ322-220-2−i2i200−i2i2−i2i222-2-222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-200−2i2i02-2−i2i2−22−220000−2i2i−2i2i00−i2i2−i2i2−22−22−22−2200000000
χ332-220-2−i2i200−i2i2−i2i222-2-222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-222i−2i000-22i2−i22−2−222i−2i2i−2i000000i2−i2i2−i22−22−2−22−2200000000
χ342-220-2−i2i200−i2i2−i2i222-2-222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22−2i2i000-22i2−i2−222−2−2i2i−2i2i000000i2−i2i2−i2−22−222−22−200000000
χ352-220-2i2−i200i2−i2i2−i222-2-222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2002i−2i02-2i2−i2−22−2200002i−2i2i−2i00i2−i2i2−i2−22−22−22−2200000000
χ362-220-2i2−i200i2−i2i2−i222-2-222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-200−2i2i02-2i2−i22−22−20000−2i2i−2i2i00i2−i2i2−i22−22−22−22−200000000
χ372-220-2i2−i200i2−i2i2−i222-2-222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-222i−2i000-22−i2i2−222−22i−2i2i−2i000000−i2i2−i2i2−22−222−22−200000000
χ382-220-2i2−i200i2−i2i2−i222-2-222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22−2i2i000-22−i2i22−2−22−2i2i−2i2i000000−i2i2−i2i22−22−2−22−2200000000
χ392-2-101−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2322-2-2-1-1110033−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232-2002i−2i0-11−i2i22−22−2i3−i3−i3i3−ii−ii3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ402-2-101−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2322-2-2-1-1110033−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232-200−2i2i0-11−i2i2−22−22−i3i3i3−i3i−ii−i3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ412-2-101−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2322-2-2-1-1110033−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-222i−2i0001-1i2−i22−2−22−ii−ii−i3i3i3−i3−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ422-2-101−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2322-2-2-1-1110033−3−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-22−2i2i0001-1i2−i2−222−2i−ii−ii3−i3−i3i3−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ432-2-101−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722-2-2-1-11100−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72-2002i−2i0-11−i2i22−22−2−i3i3i3−i3−ii−ii−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ442-2-101−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722-2-2-1-11100−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72-200−2i2i0-11−i2i2−22−22i3−i3−i3i3i−ii−i−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ452-2-101−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722-2-2-1-11100−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-222i−2i0001-1i2−i22−2−22−ii−iii3−i3−i3i33−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ462-2-101−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722-2-2-1-11100−3−333−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-22−2i2i0001-1i2−i2−222−2i−ii−i−i3i3i3−i33−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ472-2-101i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2322-2-2-1-1110033−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232-2002i−2i0-11i2−i2−22−22i3−i3−i3i3−ii−ii3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ482-2-101i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2322-2-2-1-1110033−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232-200−2i2i0-11i2−i22−22−2−i3i3i3−i3i−ii−i3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ492-2-101i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2322-2-2-1-1110033−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-222i−2i0001-1−i2i2−222−2−ii−ii−i3i3i3−i3−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ502-2-101i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2322-2-2-1-1110033−3−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-22−2i2i0001-1−i2i22−2−22i−ii−ii3−i3−i3i3−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ512-2-101i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ722-2-2-1-11100−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72-2002i−2i0-11i2−i2−22−22−i3i3i3−i3−ii−ii−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ522-2-101i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ722-2-2-1-11100−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72-200−2i2i0-11i2−i22−22−2i3−i3−i3i3i−ii−i−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ532-2-101i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ722-2-2-1-11100−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-222i−2i0001-1−i2i2−222−2−ii−iii3−i3−i3i33−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ542-2-101i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ722-2-2-1-11100−3−333i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-22−2i2i0001-1−i2i22−2−22i−ii−i−i3i3i3−i33−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ5544444444444441-21-21-21-21-21-21-21-21-21-21-21-21-2000000000000000000000000000000000000002020-10-1
χ5644444444444441-21-21-21-21-21-21-21-21-21-21-21-21-200000000000000000000000000000000000000-20-20101
χ574444444444444-21-21-21-21-21-21-21-21-21-21-21-21-2100000000000000000000000000000000000002020-10-10
χ584444444444444-21-21-21-21-21-21-21-21-21-21-21-21-210000000000000000000000000000000000000-20-201010
χ5944444-4-444-4-4-4-41-21-21-21-21-21-21-2-12-12-12-12-12-120000000000000000000000000000000000000020-20-101
χ6044444-4-444-4-4-4-41-21-21-21-21-21-21-2-12-12-12-12-12-1200000000000000000000000000000000000000-202010-1
χ6144444-4-444-4-4-4-4-21-21-21-21-21-21-212-12-12-12-12-12-1000000000000000000000000000000000000020-20-1010
χ6244444-4-444-4-4-4-4-21-21-21-21-21-21-212-12-12-12-12-12-10000000000000000000000000000000000000-202010-10
χ63888-8800-8-800002-42-42-42-4-24-24-24000000000000000000000000000000000000000000000000000000000
χ64888-8800-8-80000-42-42-42-424-24-24-2000000000000000000000000000000000000000000000000000000000
χ6588-48-488-4-4-4-4-4-42-42-4-12-122-4-12-122-42-4-12-12-12-12000000000000000000000000000000000000000000000
χ6688-48-488-4-4-4-4-4-4-42-422-12-1-422-12-1-42-422-12-12-12-1000000000000000000000000000000000000000000000
χ6788-48-4-8-8-4-444442-42-4-12-122-4-12-12-24-241-21-21-21-2000000000000000000000000000000000000000000000
χ6888-48-4-8-8-4-44444-42-422-12-1-422-12-14-24-2-21-21-21-21000000000000000000000000000000000000000000000
χ6988-4-8-400444343−43−432-42-4-12-12-241-21-200003−233−23−323−323000000000000000000000000000000000000000000000
χ7088-4-8-400444343−43−43-42-422-12-14-2-21-210000−233−23323−323−3000000000000000000000000000000000000000000000
χ7188-4-8-40044−43−4343432-42-4-12-12-241-21-20000−323−3233−233−23000000000000000000000000000000000000000000000
χ7288-4-8-40044−43−434343-42-422-12-14-2-21-21000023−323−3−233−233000000000000000000000000000000000000000000000
χ738-880-8−4i24i200−4i24i2−4i24i22-4-242-4-24000000−i22i2i2−2i2−i22i2i2−2i2−i22i2i2−2i2000000000000000000000000000000000000000000000
χ748-880-8−4i24i200−4i24i2−4i24i2-424-2-424-20000002i2−i2−2i2i22i2−i2−2i2i22i2−i2−2i2i2000000000000000000000000000000000000000000000
χ758-880-84i2−4i2004i2−4i24i2−4i22-4-242-4-24000000i2−2i2−i22i2i2−2i2−i22i2i2−2i2−i22i2000000000000000000000000000000000000000000000
χ768-880-84i2−4i2004i2−4i24i2−4i2-424-2-424-2000000−2i2i22i2−i2−2i2i22i2−i2−2i2i22i2−i2000000000000000000000000000000000000000000000
χ778-8-404−4i24i243−434ζ5+4ζ7−4ζ5−4ζ74ζ13+4ζ23−4ζ13−4ζ232-4-24-121-2003−23−323−i22i2i2−2i2ζ5+ζ7−2ζ5−2ζ7−ζ5−ζ72ζ5+2ζ7ζ13+ζ23−2ζ13−2ζ23−ζ13−ζ232ζ13+2ζ23000000000000000000000000000000000000000000000
χ788-8-404−4i24i243−434ζ5+4ζ7−4ζ5−4ζ74ζ13+4ζ23−4ζ13−4ζ23-424-22-1-2100−23323−32i2−i2−2i2i2−2ζ5−2ζ7ζ5+ζ72ζ5+2ζ7−ζ5−ζ7−2ζ13−2ζ23ζ13+ζ232ζ13+2ζ23−ζ13−ζ23000000000000000000000000000000000000000000000
χ798-8-404−4i24i2−43434ζ13+4ζ23−4ζ13−4ζ234ζ5+4ζ7−4ζ5−4ζ72-4-24-121-200−3233−23−i22i2i2−2i2ζ13+ζ23−2ζ13−2ζ23−ζ13−ζ232ζ13+2ζ23ζ5+ζ7−2ζ5−2ζ7−ζ5−ζ72ζ5+2ζ7000000000000000000000000000000000000000000000
χ808-8-404−4i24i2−43434ζ13+4ζ23−4ζ13−4ζ234ζ5+4ζ7−4ζ5−4ζ7-424-22-1-210023−3−2332i2−i2−2i2i2−2ζ13−2ζ23ζ13+ζ232ζ13+2ζ23−ζ13−ζ23−2ζ5−2ζ7ζ5+ζ72ζ5+2ζ7−ζ5−ζ7000000000000000000000000000000000000000000000
χ818-8-4044i2−4i243−43−4ζ5−4ζ74ζ5+4ζ7−4ζ13−4ζ234ζ13+4ζ232-4-24-121-2003−23−323i2−2i2−i22i2−ζ5−ζ72ζ5+2ζ7ζ5+ζ7−2ζ5−2ζ7−ζ13−ζ232ζ13+2ζ23ζ13+ζ23−2ζ13−2ζ23000000000000000000000000000000000000000000000
χ828-8-4044i2−4i243−43−4ζ5−4ζ74ζ5+4ζ7−4ζ13−4ζ234ζ13+4ζ23-424-22-1-2100−23323−3−2i2i22i2−i22ζ5+2ζ7−ζ5−ζ7−2ζ5−2ζ7ζ5+ζ72ζ13+2ζ23−ζ13−ζ23−2ζ13−2ζ23ζ13+ζ23000000000000000000000000000000000000000000000
χ838-8-4044i2−4i2−4343−4ζ13−4ζ234ζ13+4ζ23−4ζ5−4ζ74ζ5+4ζ72-4-24-121-200−3233−23i2−2i2−i22i2−ζ13−ζ232ζ13+2ζ23ζ13+ζ23−2ζ13−2ζ23−ζ5−ζ72ζ5+2ζ7ζ5+ζ7−2ζ5−2ζ7000000000000000000000000000000000000000000000
χ848-8-4044i2−4i2−4343−4ζ13−4ζ234ζ13+4ζ23−4ζ5−4ζ74ζ5+4ζ7-424-22-1-210023−3−233−2i2i22i2−i22ζ13+2ζ23−ζ13−ζ23−2ζ13−2ζ23ζ13+ζ232ζ5+2ζ7−ζ5−ζ7−2ζ5−2ζ7ζ5+ζ7000000000000000000000000000000000000000000000

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