Finite Group Databasebeta

← Group #88967

Character table — Group #88967

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size116668812116668812116668812116668812116668812116668812116668812116668812116668812
order124883623612242436636122424366361224243663612242436636122424366361224243663612242436636122424366
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1
χ322200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10
χ42-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110
χ52-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110
χ633-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1
χ733-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001
χ84-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10
χ911111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ10111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ1122200-1-10−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i32022200-1-10−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i32022200-1-10−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i320
χ122-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i3202-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i3202-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320
χ132-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i3202-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i3202-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320
χ1433-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i3233-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i3233-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32
χ1533-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i3233-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i3233-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i32
χ164-40001-10−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i3204-40001-10−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i3204-40001-10−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i320
χ1711111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ18111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ1922200-1-10−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i32022200-1-10−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i32022200-1-10−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i320
χ202-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i3202-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i3202-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320
χ212-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i3202-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i3202-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320
χ2233-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i3233-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i3233-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32
χ2333-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i3233-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i3233-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i32
χ244-40001-10−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i3204-40001-10−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i3204-40001-10−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i320
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111-1-111-1111-1-111-1111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ2722200-1-1022200-1-1022200-1-10−1+i3−1+i3−1+i3001−i321−i320−1+i3−1+i3−1+i3001−i321−i320−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i320−1−i3−1−i3−1−i3001+i321+i320−1−i3−1−i3−1−i3001+i321+i320
χ282-20i2−i2-1102-20i2−i2-1102-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320
χ292-20−i2i2-1102-20−i2i2-1102-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320
χ3033-11100-133-11100-133-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32
χ3133-1-1-100133-1-1-100133-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i32−3+3i32−3+3i321−i321−i321−i3200−1+i32−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i32−3−3i32−3−3i321+i321+i321+i3200−1−i32−3−3i32−3−3i321+i321+i321+i3200−1−i32
χ324-40001-104-40001-104-40001-10−2+2i32−2i3000−1+i321−i320−2+2i32−2i3000−1+i321−i320−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i320−2−2i32+2i3000−1−i321+i320−2−2i32+2i3000−1−i321+i320
χ3311111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ34111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ3522200-1-10−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i32022200-1-10−1−i3−1−i3−1−i3001+i321+i32022200-1-10−1+i3−1+i3−1+i3001−i321−i320
χ362-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i3202-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i3202-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320
χ372-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i3202-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i3202-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320
χ3833-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i3233-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i3233-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i32
χ3933-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i3233-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i3233-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i32
χ404-40001-10−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i3204-40001-10−2−2i32+2i3000−1−i321+i3204-40001-10−2+2i32−2i3000−1+i321−i320
χ4111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111
χ42111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32111-1-111-1
χ4322200-1-10−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i320−1+i3−1+i3−1+i3001−i321−i32022200-1-10−1−i3−1−i3−1−i3001+i321+i320−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i32022200-1-10
χ442-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i3202-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i3202-20i2−i2-110
χ452-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i3202-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i3202-20−i2i2-110
χ4633-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i3233-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i3233-11100-1
χ4733-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i32−3+3i32−3+3i321−i321−i321−i3200−1+i3233-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i32−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i3233-1-1-1001
χ484-40001-10−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i320−2+2i32−2i3000−1+i321−i3204-40001-10−2−2i32+2i3000−1−i321+i320−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i3204-40001-10
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111-1-111-1111-1-111-1111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ5122200-1-1022200-1-1022200-1-10−1−i3−1−i3−1−i3001+i321+i320−1−i3−1−i3−1−i3001+i321+i320−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i320−1+i3−1+i3−1+i3001−i321−i320−1+i3−1+i3−1+i3001−i321−i320
χ522-20i2−i2-1102-20i2−i2-1102-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320
χ532-20−i2i2-1102-20−i2i2-1102-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320
χ5433-11100-133-11100-133-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32
χ5533-1-1-100133-1-1-100133-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i32−3−3i32−3−3i321+i321+i321+i3200−1−i32−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i32−3+3i32−3+3i321−i321−i321−i3200−1+i32−3+3i32−3+3i321−i321−i321−i3200−1+i32
χ564-40001-104-40001-104-40001-10−2−2i32+2i3000−1−i321+i320−2−2i32+2i3000−1−i321+i320−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i320−2+2i32−2i3000−1+i321−i320−2+2i32−2i3000−1+i321−i320
χ5711111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111
χ58111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32111-1-111-1
χ5922200-1-10−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i320−1−i3−1−i3−1−i3001+i321+i32022200-1-10−1+i3−1+i3−1+i3001−i321−i320−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i32022200-1-10
χ602-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i3202-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i3202-20i2−i2-110
χ612-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i3202-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i3202-20−i2i2-110
χ6233-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i3233-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i3233-11100-1
χ6333-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i32−3−3i32−3−3i321+i321+i321+i3200−1−i3233-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i32−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i3233-1-1-1001
χ644-40001-10−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i320−2−2i32+2i3000−1−i321+i3204-40001-10−2+2i32−2i3000−1+i321−i320−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i3204-40001-10
χ6511111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ66111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32111-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32111-1-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ6722200-1-10−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i320−1−i3−1−i3−1−i3001+i321+i320−1+i3−1+i3−1+i3001−i321−i32022200-1-10−1+i3−1+i3−1+i3001−i321−i32022200-1-10−1−i3−1−i3−1−i3001+i321+i320
χ682-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i320−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i3202-20i2−i2-110−1+i31−i30−ζ5−ζ23ζ5+ζ231−i32−1+i3202-20i2−i2-110−1−i31+i30−ζ7−ζ13ζ7+ζ131+i32−1−i320
χ692-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i320−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i3202-20−i2i2-110−1+i31−i30ζ5+ζ23−ζ5−ζ231−i32−1+i3202-20−i2i2-110−1−i31+i30ζ7+ζ13−ζ7−ζ131+i32−1−i320
χ7033-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i32−3−3i32−3−3i321+i32−1−i32−1−i32001+i32−3+3i32−3+3i321−i32−1+i32−1+i32001−i3233-11100-1−3+3i32−3+3i321−i32−1+i32−1+i32001−i3233-11100-1−3−3i32−3−3i321+i32−1−i32−1−i32001+i32
χ7133-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i32−3−3i32−3−3i321+i321+i321+i3200−1−i32−3+3i32−3+3i321−i321−i321−i3200−1+i3233-1-1-1001−3+3i32−3+3i321−i321−i321−i3200−1+i3233-1-1-1001−3−3i32−3−3i321+i321+i321+i3200−1−i32
χ724-40001-10−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i320−2−2i32+2i3000−1−i321+i320−2+2i32−2i3000−1+i321−i3204-40001-10−2+2i32−2i3000−1+i321−i3204-40001-10−2−2i32+2i3000−1−i321+i320

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