Finite Group Databasebeta

← Group #72228441

Character table — Group #72228441

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size128916181836363636365454721289161818363636363654547212891618183636363636545472128916181836363636365454721289161818363636363654547212891618183636363636545472
order1332346241212128863336312661212121224246333631266121212122424626626462412121288666666126612121212242466666612661212121224246
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111-11-1-1-1-1111111111-11-1-1-1-1111111111-11-1-1-1-1111111111-11-1-1-1-1111111111-11-1-1-1-1111111111-11-1-1-1-11
χ31111111-11111-1-1-11111111-11111-1-1-11111111-11111-1-1-11111111-11111-1-1-11111111-11111-1-1-11111111-11111-1-1-1
χ41111111-1-11-1-111-11111111-1-11-1-111-11111111-1-11-1-111-11111111-1-11-1-111-11111111-1-11-1-111-11111111-1-11-1-111-1
χ522222-2200-20000022222-2200-20000022222-2200-20000022222-2200-20000022222-2200-20000022222-2200-200000
χ6222-220-200000−i2i20222-220-200000−i2i20222-220-200000−i2i20222-220-200000−i2i20222-220-200000−i2i20222-220-200000−i2i20
χ7222-220-200000i2−i20222-220-200000i2−i20222-220-200000i2−i20222-220-200000i2−i20222-220-200000i2−i20222-220-200000i2−i20
χ82-122-12-102-1-1-10002-122-12-102-1-1-10002-122-12-102-1-1-10002-122-12-102-1-1-10002-122-12-102-1-1-10002-122-12-102-1-1-1000
χ92-122-12-10-2-1110002-122-12-10-2-1110002-122-12-10-2-1110002-122-12-10-2-1110002-122-12-10-2-1110002-122-12-10-2-111000
χ102-122-1-2-1001−i3i30002-122-1-2-1001−i3i30002-122-1-2-1001−i3i30002-122-1-2-1001−i3i30002-122-1-2-1001−i3i30002-122-1-2-1001−i3i3000
χ112-122-1-2-1001i3−i30002-122-1-2-1001i3−i30002-122-1-2-1001i3−i30002-122-1-2-1001i3−i30002-122-1-2-1001i3−i30002-122-1-2-1001i3−i3000
χ124-24-4-202000000004-24-4-202000000004-24-4-202000000004-24-4-202000000004-24-4-202000000004-24-4-20200000000
χ1388-10-1002000000-188-10-1002000000-188-10-1002000000-188-10-1002000000-188-10-1002000000-188-10-1002000000-1
χ1488-10-100-2000000188-10-100-2000000188-10-100-2000000188-10-100-2000000188-10-100-2000000188-10-100-20000001
χ1516-8-201000000000016-8-201000000000016-8-201000000000016-8-201000000000016-8-201000000000016-8-2010000000000
χ16111111111111111−1+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−i32111111111111111−1+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
χ1711111111-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i3211111111-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32
χ181111111-11111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321111111-11111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ191111111-1-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321111111-1-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ2022222-2200-200000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i30000022222-2200-200000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i300000
χ21222-220-200000−i2i20−1+i3−1+i3−1+i31−i3−1+i301−i300000ζ5+ζ23−ζ5−ζ230−1−i3−1−i3−1−i31+i3−1−i301+i300000ζ7+ζ13−ζ7−ζ130222-220-200000−i2i20−1+i3−1+i3−1+i31−i3−1+i301−i300000ζ5+ζ23−ζ5−ζ230−1−i3−1−i3−1−i31+i3−1−i301+i300000ζ7+ζ13−ζ7−ζ130
χ22222-220-200000i2−i20−1+i3−1+i3−1+i31−i3−1+i301−i300000−ζ5−ζ23ζ5+ζ230−1−i3−1−i3−1−i31+i3−1−i301+i300000−ζ7−ζ13ζ7+ζ130222-220-200000i2−i20−1+i3−1+i3−1+i31−i3−1+i301−i300000−ζ5−ζ23ζ5+ζ230−1−i3−1−i3−1−i31+i3−1−i301+i300000−ζ7−ζ13ζ7+ζ130
χ232-122-12-102-1-1-1000−1+i31−i32−1+i3−1+i31−i32−1+i31−i320−1+i31−i321−i321−i32000−1−i31+i32−1−i3−1−i31+i32−1−i31+i320−1−i31+i321+i321+i320002-122-12-102-1-1-1000−1+i31−i32−1+i3−1+i31−i32−1+i31−i320−1+i31−i321−i321−i32000−1−i31+i32−1−i3−1−i31+i32−1−i31+i320−1−i31+i321+i321+i32000
χ242-122-12-10-2-111000−1+i31−i32−1+i3−1+i31−i32−1+i31−i3201−i31−i32−1+i32−1+i32000−1−i31+i32−1−i3−1−i31+i32−1−i31+i3201+i31+i32−1−i32−1−i320002-122-12-10-2-111000−1+i31−i32−1+i3−1+i31−i32−1+i31−i3201−i31−i32−1+i32−1+i32000−1−i31+i32−1−i3−1−i31+i32−1−i31+i3201+i31+i32−1−i32−1−i32000
χ252-122-1-2-1001−i3i3000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i323+i32−3−i32000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i32−3+i323−i320002-122-1-2-1001−i3i3000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i323+i32−3−i32000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i32−3+i323−i32000
χ262-122-1-2-1001i3−i3000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i32−3−i323+i32000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i323−i32−3+i320002-122-1-2-1001i3−i3000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i32−3−i323+i32000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i323−i32−3+i32000
χ274-24-4-20200000000−2+2i31−i3−2+2i32−2i31−i30−1+i300000000−2−2i31+i3−2−2i32+2i31+i30−1−i3000000004-24-4-20200000000−2+2i31−i3−2+2i32−2i31−i30−1+i300000000−2−2i31+i3−2−2i32+2i31+i30−1−i300000000
χ2888-10-1002000000-1−4+4i3−4+4i31−i3201−i3200−1+i30000001−i32−4−4i3−4−4i31+i3201+i3200−1−i30000001+i3288-10-1002000000-1−4+4i3−4+4i31−i3201−i3200−1+i30000001−i32−4−4i3−4−4i31+i3201+i3200−1−i30000001+i32
χ2988-10-100-20000001−4+4i3−4+4i31−i3201−i32001−i3000000−1+i32−4−4i3−4−4i31+i3201+i32001+i3000000−1−i3288-10-100-20000001−4+4i3−4+4i31−i3201−i32001−i3000000−1+i32−4−4i3−4−4i31+i3201+i32001+i3000000−1−i32
χ3016-8-2010000000000−8+8i34−4i31−i30−1+i320000000000−8−8i34+4i31+i30−1−i32000000000016-8-2010000000000−8+8i34−4i31−i30−1+i320000000000−8−8i34+4i31+i30−1−i320000000000
χ31111111111111111−1−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+i32111111111111111−1−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
χ3211111111-11-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i3211111111-11-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32
χ331111111-11111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321111111-11111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ341111111-1-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321111111-1-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ3522222-2200-200000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i300000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i30000022222-2200-200000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i300000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i300000
χ36222-220-200000−i2i20−1−i3−1−i3−1−i31+i3−1−i301+i300000ζ7+ζ13−ζ7−ζ130−1+i3−1+i3−1+i31−i3−1+i301−i300000ζ5+ζ23−ζ5−ζ230222-220-200000−i2i20−1−i3−1−i3−1−i31+i3−1−i301+i300000ζ7+ζ13−ζ7−ζ130−1+i3−1+i3−1+i31−i3−1+i301−i300000ζ5+ζ23−ζ5−ζ230
χ37222-220-200000i2−i20−1−i3−1−i3−1−i31+i3−1−i301+i300000−ζ7−ζ13ζ7+ζ130−1+i3−1+i3−1+i31−i3−1+i301−i300000−ζ5−ζ23ζ5+ζ230222-220-200000i2−i20−1−i3−1−i3−1−i31+i3−1−i301+i300000−ζ7−ζ13ζ7+ζ130−1+i3−1+i3−1+i31−i3−1+i301−i300000−ζ5−ζ23ζ5+ζ230
χ382-122-12-102-1-1-1000−1−i31+i32−1−i3−1−i31+i32−1−i31+i320−1−i31+i321+i321+i32000−1+i31−i32−1+i3−1+i31−i32−1+i31−i320−1+i31−i321−i321−i320002-122-12-102-1-1-1000−1−i31+i32−1−i3−1−i31+i32−1−i31+i320−1−i31+i321+i321+i32000−1+i31−i32−1+i3−1+i31−i32−1+i31−i320−1+i31−i321−i321−i32000
χ392-122-12-10-2-111000−1−i31+i32−1−i3−1−i31+i32−1−i31+i3201+i31+i32−1−i32−1−i32000−1+i31−i32−1+i3−1+i31−i32−1+i31−i3201−i31−i32−1+i32−1+i320002-122-12-10-2-111000−1−i31+i32−1−i3−1−i31+i32−1−i31+i3201+i31+i32−1−i32−1−i32000−1+i31−i32−1+i3−1+i31−i32−1+i31−i3201−i31−i32−1+i32−1+i32000
χ402-122-1-2-1001−i3i3000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i32−3+i323−i32000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i323+i32−3−i320002-122-1-2-1001−i3i3000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i32−3+i323−i32000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i323+i32−3−i32000
χ412-122-1-2-1001i3−i3000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i323−i32−3+i32000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i32−3−i323+i320002-122-1-2-1001i3−i3000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i323−i32−3+i32000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i32−3−i323+i32000
χ424-24-4-20200000000−2−2i31+i3−2−2i32+2i31+i30−1−i300000000−2+2i31−i3−2+2i32−2i31−i30−1+i3000000004-24-4-20200000000−2−2i31+i3−2−2i32+2i31+i30−1−i300000000−2+2i31−i3−2+2i32−2i31−i30−1+i300000000
χ4388-10-1002000000-1−4−4i3−4−4i31+i3201+i3200−1−i30000001+i32−4+4i3−4+4i31−i3201−i3200−1+i30000001−i3288-10-1002000000-1−4−4i3−4−4i31+i3201+i3200−1−i30000001+i32−4+4i3−4+4i31−i3201−i3200−1+i30000001−i32
χ4488-10-100-20000001−4−4i3−4−4i31+i3201+i32001+i3000000−1−i32−4+4i3−4+4i31−i3201−i32001−i3000000−1+i3288-10-100-20000001−4−4i3−4−4i31+i3201+i32001+i3000000−1−i32−4+4i3−4+4i31−i3201−i32001−i3000000−1+i32
χ4516-8-2010000000000−8−8i34+4i31+i30−1−i320000000000−8+8i34−4i31−i30−1+i32000000000016-8-2010000000000−8−8i34+4i31+i30−1−i320000000000−8+8i34−4i31−i30−1+i320000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111-11-1-1-1-1111111111-11-1-1-1-1111111111-11-1-1-1-11-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11-11111-1
χ481111111-11111-1-1-11111111-11111-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-11-1-1-1-1111
χ491111111-1-11-1-111-11111111-1-11-1-111-11111111-1-11-1-111-1-1-1-1-1-1-1-111-111-1-11-1-1-1-1-1-1-111-111-1-11-1-1-1-1-1-1-111-111-1-11
χ5022222-2200-20000022222-2200-20000022222-2200-200000-2-2-2-2-22-200200000-2-2-2-2-22-200200000-2-2-2-2-22-200200000
χ51222-220-200000−i2i20222-220-200000−i2i20222-220-200000−i2i20-2-2-22-20200000i2−i20-2-2-22-20200000i2−i20-2-2-22-20200000i2−i20
χ52222-220-200000i2−i20222-220-200000i2−i20222-220-200000i2−i20-2-2-22-20200000−i2i20-2-2-22-20200000−i2i20-2-2-22-20200000−i2i20
χ532-122-12-102-1-1-10002-122-12-102-1-1-10002-122-12-102-1-1-1000-21-2-21-210-2111000-21-2-21-210-2111000-21-2-21-210-2111000
χ542-122-12-10-2-1110002-122-12-10-2-1110002-122-12-10-2-111000-21-2-21-21021-1-1000-21-2-21-21021-1-1000-21-2-21-21021-1-1000
χ552-122-1-2-1001−i3i30002-122-1-2-1001−i3i30002-122-1-2-1001−i3i3000-21-2-212100-1i3−i3000-21-2-212100-1i3−i3000-21-2-212100-1i3−i3000
χ562-122-1-2-1001i3−i30002-122-1-2-1001i3−i30002-122-1-2-1001i3−i3000-21-2-212100-1−i3i3000-21-2-212100-1−i3i3000-21-2-212100-1−i3i3000
χ574-24-4-202000000004-24-4-202000000004-24-4-20200000000-42-4420-200000000-42-4420-200000000-42-4420-200000000
χ5888-10-1002000000-188-10-1002000000-188-10-1002000000-1-8-810100-20000001-8-810100-20000001-8-810100-20000001
χ5988-10-100-2000000188-10-100-2000000188-10-100-20000001-8-8101002000000-1-8-8101002000000-1-8-8101002000000-1
χ6016-8-201000000000016-8-201000000000016-8-2010000000000-16820-10000000000-16820-10000000000-16820-10000000000
χ61111111111111111−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ6211111111-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32-1-1-1-1-1-1-1-11-11111-11−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ631111111-11111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32-1-1-1-1-1-1-11-1-1-1-11111−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ641111111-1-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32-1-1-1-1-1-1-111-111-1-111−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ6522222-2200-200000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i300000-2-2-2-2-22-2002000001−i31−i31−i31−i31−i3−1+i31−i300−1+i3000001+i31+i31+i31+i31+i3−1−i31+i300−1−i300000
χ66222-220-200000−i2i20−1+i3−1+i3−1+i31−i3−1+i301−i300000ζ5+ζ23−ζ5−ζ230−1−i3−1−i3−1−i31+i3−1−i301+i300000ζ7+ζ13−ζ7−ζ130-2-2-22-20200000i2−i201−i31−i31−i3−1+i31−i30−1+i300000−ζ5−ζ23ζ5+ζ2301+i31+i31+i3−1−i31+i30−1−i300000−ζ7−ζ13ζ7+ζ130
χ67222-220-200000i2−i20−1+i3−1+i3−1+i31−i3−1+i301−i300000−ζ5−ζ23ζ5+ζ230−1−i3−1−i3−1−i31+i3−1−i301+i300000−ζ7−ζ13ζ7+ζ130-2-2-22-20200000−i2i201−i31−i31−i3−1+i31−i30−1+i300000ζ5+ζ23−ζ5−ζ2301+i31+i31+i3−1−i31+i30−1−i300000ζ7+ζ13−ζ7−ζ130
χ682-122-12-102-1-1-1000−1+i31−i32−1+i3−1+i31−i32−1+i31−i320−1+i31−i321−i321−i32000−1−i31+i32−1−i3−1−i31+i32−1−i31+i320−1−i31+i321+i321+i32000-21-2-21-210-21110001−i3−1+i321−i31−i3−1+i321−i3−1+i3201−i3−1+i32−1+i32−1+i320001+i3−1−i321+i31+i3−1−i321+i3−1−i3201+i3−1−i32−1−i32−1−i32000
χ692-122-12-10-2-111000−1+i31−i32−1+i3−1+i31−i32−1+i31−i3201−i31−i32−1+i32−1+i32000−1−i31+i32−1−i3−1−i31+i32−1−i31+i3201+i31+i32−1−i32−1−i32000-21-2-21-21021-1-10001−i3−1+i321−i31−i3−1+i321−i3−1+i320−1+i3−1+i321−i321−i320001+i3−1−i321+i31+i3−1−i321+i3−1−i320−1−i3−1−i321+i321+i32000
χ702-122-1-2-1001−i3i3000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i323+i32−3−i32000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i32−3+i323−i32000-21-2-212100-1i3−i30001−i3−1+i321−i31−i3−1+i32−1+i3−1+i32001−i32−3−i323+i320001+i3−1−i321+i31+i3−1−i32−1−i3−1−i32001+i323−i32−3+i32000
χ712-122-1-2-1001i3−i3000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i32−3−i323+i32000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i323−i32−3+i32000-21-2-212100-1−i3i30001−i3−1+i321−i31−i3−1+i32−1+i3−1+i32001−i323+i32−3−i320001+i3−1−i321+i31+i3−1−i32−1−i3−1−i32001+i32−3+i323−i32000
χ724-24-4-20200000000−2+2i31−i3−2+2i32−2i31−i30−1+i300000000−2−2i31+i3−2−2i32+2i31+i30−1−i300000000-42-4420-2000000002−2i3−1+i32−2i3−2+2i3−1+i301−i3000000002+2i3−1−i32+2i3−2−2i3−1−i301+i300000000
χ7388-10-1002000000-1−4+4i3−4+4i31−i3201−i3200−1+i30000001−i32−4−4i3−4−4i31+i3201+i3200−1−i30000001+i32-8-810100-200000014−4i34−4i3−1+i320−1+i32001−i3000000−1+i324+4i34+4i3−1−i320−1−i32001+i3000000−1−i32
χ7488-10-100-20000001−4+4i3−4+4i31−i3201−i32001−i3000000−1+i32−4−4i3−4−4i31+i3201+i32001+i3000000−1−i32-8-8101002000000-14−4i34−4i3−1+i320−1+i3200−1+i30000001−i324+4i34+4i3−1−i320−1−i3200−1−i30000001+i32
χ7516-8-2010000000000−8+8i34−4i31−i30−1+i320000000000−8−8i34+4i31+i30−1−i320000000000-16820-100000000008−8i3−4+4i3−1+i301−i3200000000008+8i3−4−4i3−1−i301+i320000000000
χ76111111111111111−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ7711111111-11-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32-1-1-1-1-1-1-1-11-11111-11+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ781111111-11111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32-1-1-1-1-1-1-11-1-1-1-11111+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ791111111-1-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32-1-1-1-1-1-1-111-111-1-111+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ8022222-2200-200000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i300000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i300000-2-2-2-2-22-2002000001+i31+i31+i31+i31+i3−1−i31+i300−1−i3000001−i31−i31−i31−i31−i3−1+i31−i300−1+i300000
χ81222-220-200000−i2i20−1−i3−1−i3−1−i31+i3−1−i301+i300000ζ7+ζ13−ζ7−ζ130−1+i3−1+i3−1+i31−i3−1+i301−i300000ζ5+ζ23−ζ5−ζ230-2-2-22-20200000i2−i201+i31+i31+i3−1−i31+i30−1−i300000−ζ7−ζ13ζ7+ζ1301−i31−i31−i3−1+i31−i30−1+i300000−ζ5−ζ23ζ5+ζ230
χ82222-220-200000i2−i20−1−i3−1−i3−1−i31+i3−1−i301+i300000−ζ7−ζ13ζ7+ζ130−1+i3−1+i3−1+i31−i3−1+i301−i300000−ζ5−ζ23ζ5+ζ230-2-2-22-20200000−i2i201+i31+i31+i3−1−i31+i30−1−i300000ζ7+ζ13−ζ7−ζ1301−i31−i31−i3−1+i31−i30−1+i300000ζ5+ζ23−ζ5−ζ230
χ832-122-12-102-1-1-1000−1−i31+i32−1−i3−1−i31+i32−1−i31+i320−1−i31+i321+i321+i32000−1+i31−i32−1+i3−1+i31−i32−1+i31−i320−1+i31−i321−i321−i32000-21-2-21-210-21110001+i3−1−i321+i31+i3−1−i321+i3−1−i3201+i3−1−i32−1−i32−1−i320001−i3−1+i321−i31−i3−1+i321−i3−1+i3201−i3−1+i32−1+i32−1+i32000
χ842-122-12-10-2-111000−1−i31+i32−1−i3−1−i31+i32−1−i31+i3201+i31+i32−1−i32−1−i32000−1+i31−i32−1+i3−1+i31−i32−1+i31−i3201−i31−i32−1+i32−1+i32000-21-2-21-21021-1-10001+i3−1−i321+i31+i3−1−i321+i3−1−i320−1−i3−1−i321+i321+i320001−i3−1+i321−i31−i3−1+i321−i3−1+i320−1+i3−1+i321−i321−i32000
χ852-122-1-2-1001−i3i3000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i32−3+i323−i32000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i323+i32−3−i32000-21-2-212100-1i3−i30001+i3−1−i321+i31+i3−1−i32−1−i3−1−i32001+i323−i32−3+i320001−i3−1+i321−i31−i3−1+i32−1+i3−1+i32001−i32−3−i323+i32000
χ862-122-1-2-1001i3−i3000−1−i31+i32−1−i3−1−i31+i321+i31+i3200−1−i323−i32−3+i32000−1+i31−i32−1+i3−1+i31−i321−i31−i3200−1+i32−3−i323+i32000-21-2-212100-1−i3i30001+i3−1−i321+i31+i3−1−i32−1−i3−1−i32001+i32−3+i323−i320001−i3−1+i321−i31−i3−1+i32−1+i3−1+i32001−i323+i32−3−i32000
χ874-24-4-20200000000−2−2i31+i3−2−2i32+2i31+i30−1−i300000000−2+2i31−i3−2+2i32−2i31−i30−1+i300000000-42-4420-2000000002+2i3−1−i32+2i3−2−2i3−1−i301+i3000000002−2i3−1+i32−2i3−2+2i3−1+i301−i300000000
χ8888-10-1002000000-1−4−4i3−4−4i31+i3201+i3200−1−i30000001+i32−4+4i3−4+4i31−i3201−i3200−1+i30000001−i32-8-810100-200000014+4i34+4i3−1−i320−1−i32001+i3000000−1−i324−4i34−4i3−1+i320−1+i32001−i3000000−1+i32
χ8988-10-100-20000001−4−4i3−4−4i31+i3201+i32001+i3000000−1−i32−4+4i3−4+4i31−i3201−i32001−i3000000−1+i32-8-8101002000000-14+4i34+4i3−1−i320−1−i3200−1−i30000001+i324−4i34−4i3−1+i320−1+i3200−1+i30000001−i32
χ9016-8-2010000000000−8−8i34+4i31+i30−1−i320000000000−8+8i34−4i31−i30−1+i320000000000-16820-100000000008+8i3−4−4i3−1−i301+i3200000000008−8i3−4+4i3−1+i301−i320000000000

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