Finite Group Databasebeta

← Group #13180394

Character table — Group #13180394

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112888899121212121818182424242436363636367272112888899121212121818182424242436363636367272112888899121212121818182424242436363636367272
order122366622222224466664888844366366666666661212666612242424241212366366666666661212666612242424241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-1111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-111111-1-1
χ4111111111-1-1-1-1111-1-1-1-11-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-1-1-111
χ511-111-1-11111-1-1-11111-1-1-111-1-11-111-111-1-11111-1-1-11111-1-1-111-1-11-111-111-1-11111-1-1-11111-1-1-111-1-11-1
χ611-111-1-11111-1-1-11111-1-1-1-1-111-1111-111-1-11111-1-1-11111-1-1-1-1-111-1111-111-1-11111-1-1-11111-1-1-1-1-111-11
χ711-111-1-111-1-111-111-1-111-111-1-1-1111-111-1-111-1-111-111-1-111-111-1-1-1111-111-1-111-1-111-111-1-111-111-1-1-11
χ811-111-1-111-1-111-111-1-111-1-1-1111-111-111-1-111-1-111-111-1-111-1-1-1111-111-111-1-111-1-111-111-1-111-1-1-1111-1
χ922222222200002-2-20000-200000022222222200002-2-20000-200000022222222200002-2-20000-2000000
χ102222222-2-20000-20000000i2−i2i2−i2002222222-2-20000-20000000i2−i2i2−i2002222222-2-20000-20000000i2−i2i2−i200
χ112222222-2-20000-20000000−i2i2−i2i2002222222-2-20000-20000000−i2i2−i2i2002222222-2-20000-20000000−i2i2−i2i200
χ1222-222-2-2220000-2-2-20000200000022-222-2-2220000-2-2-20000200000022-222-2-2220000-2-2-200002000000
χ1322-222-2-2-2-2000020000000i2−i2−i2i20022-222-2-2-2-2000020000000i2−i2−i2i20022-222-2-2-2-2000020000000i2−i2−i2i200
χ1422-222-2-2-2-2000020000000−i2i2i2−i20022-222-2-2-2-2000020000000−i2i2i2−i20022-222-2-2-2-2000020000000−i2i2i2−i200
χ152-202-200-22002-202-2002-200000002-202-200-22002-202-2002-200000002-202-200-22002-202-2002-20000000
χ162-202-200-2200-2202-200-2200000002-202-200-2200-2202-200-2200000002-202-200-2200-2202-200-220000000
χ172-202-200-222-2000-222-20000000002-202-200-222-2000-222-20000000002-202-200-222-2000-222-2000000000
χ182-202-200-22-22000-22-220000000002-202-200-22-22000-22-220000000002-202-200-22-22000-22-22000000000
χ194-404-4004-40000000000000000004-404-4004-40000000000000000004-404-4004-4000000000000000000
χ20888-1-1-1-1002222000-1-1-1-10000000888-1-1-1-1002222000-1-1-1-10000000888-1-1-1-1002222000-1-1-1-10000000
χ21888-1-1-1-100-2-2-2-200011110000000888-1-1-1-100-2-2-2-200011110000000888-1-1-1-100-2-2-2-200011110000000
χ2288-8-1-1110022-2-2000-1-111000000088-8-1-1110022-2-2000-1-111000000088-8-1-1110022-2-2000-1-1110000000
χ2388-8-1-11100-2-22200011-1-1000000088-8-1-11100-2-22200011-1-1000000088-8-1-11100-2-22200011-1-10000000
χ248-80-113-3002-22-2000-11-1100000008-80-113-3002-22-2000-11-1100000008-80-113-3002-22-2000-11-110000000
χ258-80-113-300-22-220001-11-100000008-80-113-300-22-220001-11-100000008-80-113-300-22-220001-11-10000000
χ268-80-11-33002-2-22000-111-100000008-80-11-33002-2-22000-111-100000008-80-11-33002-2-22000-111-10000000
χ278-80-11-3300-222-20001-1-1100000008-80-11-3300-222-20001-1-1100000008-80-11-3300-222-20001-1-110000000
χ28111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ29111111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ30111111111-1-1-1-1111-1-1-1-111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ31111111111-1-1-1-1111-1-1-1-11-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3211-111-1-11111-1-1-11111-1-1-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3311-111-1-11111-1-1-11111-1-1-1-1-111-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3411-111-1-111-1-111-111-1-111-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ3511-111-1-111-1-111-111-1-111-1-1-1111-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ3622222222200002-2-20000-2000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i31−i31−i300001−i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i31+i31+i300001+i3000000
χ372222222-2-20000-20000000i2−i2i2−i200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i30000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i30000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300
χ382222222-2-20000-20000000−i2i2−i2i200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i30000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i30000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300
χ3922-222-2-2220000-2-2-200002000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300001−i31−i31−i30000−1+i3000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300001+i31+i31+i30000−1−i3000000
χ4022-222-2-2-2-2000020000000i2−i2−i2i200−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i30000−1+i30000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i30000−1−i30000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300
χ4122-222-2-2-2-2000020000000−i2i2i2−i200−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i30000−1+i30000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i30000−1−i30000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300
χ422-202-200-22002-202-2002-20000000−1+i31−i30−1+i31−i3001−i3−1+i300−1+i31−i30−1+i31−i300−1+i31−i30000000−1−i31+i30−1−i31+i3001+i3−1−i300−1−i31+i30−1−i31+i300−1−i31+i30000000
χ432-202-200-2200-2202-200-220000000−1+i31−i30−1+i31−i3001−i3−1+i3001−i3−1+i30−1+i31−i3001−i3−1+i30000000−1−i31+i30−1−i31+i3001+i3−1−i3001+i3−1−i30−1−i31+i3001+i3−1−i30000000
χ442-202-200-222-2000-222-2000000000−1+i31−i30−1+i31−i3001−i3−1+i3−1+i31−i30001−i3−1+i3−1+i31−i3000000000−1−i31+i30−1−i31+i3001+i3−1−i3−1−i31+i30001+i3−1−i3−1−i31+i3000000000
χ452-202-200-22-22000-22-22000000000−1+i31−i30−1+i31−i3001−i3−1+i31−i3−1+i30001−i3−1+i31−i3−1+i3000000000−1−i31+i30−1−i31+i3001+i3−1−i31+i3−1−i30001+i3−1−i31+i3−1−i3000000000
χ464-404-4004-4000000000000000000−2+2i32−2i30−2+2i32−2i300−2+2i32−2i3000000000000000000−2−2i32+2i30−2−2i32+2i300−2−2i32+2i3000000000000000000
χ47888-1-1-1-1002222000-1-1-1-10000000−4+4i3−4+4i3−4+4i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i30001−i321−i321−i321−i320000000−4−4i3−4−4i3−4−4i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i30001+i321+i321+i321+i320000000
χ48888-1-1-1-100-2-2-2-200011110000000−4+4i3−4+4i3−4+4i31−i321−i321−i321−i32001−i31−i31−i31−i3000−1+i32−1+i32−1+i32−1+i320000000−4−4i3−4−4i3−4−4i31+i321+i321+i321+i32001+i31+i31+i31+i3000−1−i32−1−i32−1−i32−1−i320000000
χ4988-8-1-1110022-2-2000-1-1110000000−4+4i3−4+4i34−4i31−i321−i32−1+i32−1+i3200−1+i3−1+i31−i31−i30001−i321−i32−1+i32−1+i320000000−4−4i3−4−4i34+4i31+i321+i32−1−i32−1−i3200−1−i3−1−i31+i31+i30001+i321+i32−1−i32−1−i320000000
χ5088-8-1-11100-2-22200011-1-10000000−4+4i3−4+4i34−4i31−i321−i32−1+i32−1+i32001−i31−i3−1+i3−1+i3000−1+i32−1+i321−i321−i320000000−4−4i3−4−4i34+4i31+i321+i32−1−i32−1−i32001+i31+i3−1−i3−1−i3000−1−i32−1−i321+i321+i320000000
χ518-80-113-3002-22-2000-11-110000000−4+4i34−4i301−i32−1+i32−3+3i323−3i3200−1+i31−i3−1+i31−i30001−i32−1+i321−i32−1+i320000000−4−4i34+4i301+i32−1−i32−3−3i323+3i3200−1−i31+i3−1−i31+i30001+i32−1−i321+i32−1−i320000000
χ528-80-113-300-22-220001-11-10000000−4+4i34−4i301−i32−1+i32−3+3i323−3i32001−i3−1+i31−i3−1+i3000−1+i321−i32−1+i321−i320000000−4−4i34+4i301+i32−1−i32−3−3i323+3i32001+i3−1−i31+i3−1−i3000−1−i321+i32−1−i321+i320000000
χ538-80-11-33002-2-22000-111-10000000−4+4i34−4i301−i32−1+i323−3i32−3+3i3200−1+i31−i31−i3−1+i30001−i32−1+i32−1+i321−i320000000−4−4i34+4i301+i32−1−i323+3i32−3−3i3200−1−i31+i31+i3−1−i30001+i32−1−i32−1−i321+i320000000
χ548-80-11-3300-222-20001-1-110000000−4+4i34−4i301−i32−1+i323−3i32−3+3i32001−i3−1+i3−1+i31−i3000−1+i321−i321−i32−1+i320000000−4−4i34+4i301+i32−1−i323+3i32−3−3i32001+i3−1−i3−1−i31+i3000−1−i321+i321+i32−1−i320000000
χ55111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ56111111111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ57111111111-1-1-1-1111-1-1-1-111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ58111111111-1-1-1-1111-1-1-1-11-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ5911-111-1-11111-1-1-11111-1-1-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ6011-111-1-11111-1-1-11111-1-1-1-1-111-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ6111-111-1-111-1-111-111-1-111-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ6211-111-1-111-1-111-111-1-111-1-1-1111-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ6322222222200002-2-20000-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i31+i31+i300001+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i31−i31−i300001−i3000000
χ642222222-2-20000-20000000i2−i2i2−i200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i30000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i30000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300
χ652222222-2-20000-20000000−i2i2−i2i200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i30000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i30000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300
χ6622-222-2-2220000-2-2-200002000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300001+i31+i31+i30000−1−i3000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300001−i31−i31−i30000−1+i3000000
χ6722-222-2-2-2-2000020000000i2−i2−i2i200−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i30000−1−i30000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i30000−1+i30000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300
χ6822-222-2-2-2-2000020000000−i2i2i2−i200−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i30000−1−i30000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i30000−1+i30000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300
χ692-202-200-22002-202-2002-20000000−1−i31+i30−1−i31+i3001+i3−1−i300−1−i31+i30−1−i31+i300−1−i31+i30000000−1+i31−i30−1+i31−i3001−i3−1+i300−1+i31−i30−1+i31−i300−1+i31−i30000000
χ702-202-200-2200-2202-200-220000000−1−i31+i30−1−i31+i3001+i3−1−i3001+i3−1−i30−1−i31+i3001+i3−1−i30000000−1+i31−i30−1+i31−i3001−i3−1+i3001−i3−1+i30−1+i31−i3001−i3−1+i30000000
χ712-202-200-222-2000-222-2000000000−1−i31+i30−1−i31+i3001+i3−1−i3−1−i31+i30001+i3−1−i3−1−i31+i3000000000−1+i31−i30−1+i31−i3001−i3−1+i3−1+i31−i30001−i3−1+i3−1+i31−i3000000000
χ722-202-200-22-22000-22-22000000000−1−i31+i30−1−i31+i3001+i3−1−i31+i3−1−i30001+i3−1−i31+i3−1−i3000000000−1+i31−i30−1+i31−i3001−i3−1+i31−i3−1+i30001−i3−1+i31−i3−1+i3000000000
χ734-404-4004-4000000000000000000−2−2i32+2i30−2−2i32+2i300−2−2i32+2i3000000000000000000−2+2i32−2i30−2+2i32−2i300−2+2i32−2i3000000000000000000
χ74888-1-1-1-1002222000-1-1-1-10000000−4−4i3−4−4i3−4−4i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i30001+i321+i321+i321+i320000000−4+4i3−4+4i3−4+4i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i30001−i321−i321−i321−i320000000
χ75888-1-1-1-100-2-2-2-200011110000000−4−4i3−4−4i3−4−4i31+i321+i321+i321+i32001+i31+i31+i31+i3000−1−i32−1−i32−1−i32−1−i320000000−4+4i3−4+4i3−4+4i31−i321−i321−i321−i32001−i31−i31−i31−i3000−1+i32−1+i32−1+i32−1+i320000000
χ7688-8-1-1110022-2-2000-1-1110000000−4−4i3−4−4i34+4i31+i321+i32−1−i32−1−i3200−1−i3−1−i31+i31+i30001+i321+i32−1−i32−1−i320000000−4+4i3−4+4i34−4i31−i321−i32−1+i32−1+i3200−1+i3−1+i31−i31−i30001−i321−i32−1+i32−1+i320000000
χ7788-8-1-11100-2-22200011-1-10000000−4−4i3−4−4i34+4i31+i321+i32−1−i32−1−i32001+i31+i3−1−i3−1−i3000−1−i32−1−i321+i321+i320000000−4+4i3−4+4i34−4i31−i321−i32−1+i32−1+i32001−i31−i3−1+i3−1+i3000−1+i32−1+i321−i321−i320000000
χ788-80-113-3002-22-2000-11-110000000−4−4i34+4i301+i32−1−i32−3−3i323+3i3200−1−i31+i3−1−i31+i30001+i32−1−i321+i32−1−i320000000−4+4i34−4i301−i32−1+i32−3+3i323−3i3200−1+i31−i3−1+i31−i30001−i32−1+i321−i32−1+i320000000
χ798-80-113-300-22-220001-11-10000000−4−4i34+4i301+i32−1−i32−3−3i323+3i32001+i3−1−i31+i3−1−i3000−1−i321+i32−1−i321+i320000000−4+4i34−4i301−i32−1+i32−3+3i323−3i32001−i3−1+i31−i3−1+i3000−1+i321−i32−1+i321−i320000000
χ808-80-11-33002-2-22000-111-10000000−4−4i34+4i301+i32−1−i323+3i32−3−3i3200−1−i31+i31+i3−1−i30001+i32−1−i32−1−i321+i320000000−4+4i34−4i301−i32−1+i323−3i32−3+3i3200−1+i31−i31−i3−1+i30001−i32−1+i32−1+i321−i320000000
χ818-80-11-3300-222-20001-1-110000000−4−4i34+4i301+i32−1−i323+3i32−3−3i32001+i3−1−i3−1−i31+i3000−1−i321+i321+i32−1−i320000000−4+4i34−4i301−i32−1+i323−3i32−3+3i32001−i3−1+i3−1+i31−i3000−1+i321−i321−i32−1+i320000000

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