Finite Group Databasebeta

← Group #11920877

Character table — Group #11920877

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122446688881212121212161616161616242424242448111122446688881212121212161616161616242424242448111122446688881212121212161616161616242424242448
order1222444444366648888121212121212488884366612121212121236661224242424121212121212122424242412366612121212121236661224242424121212121212122424242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-11111111-1-1-1-1-1111111111111111-1-1-1-11111111-1-1-1-1-1111111111111111-1-1-1-11111111-1-1-1-1-1
χ3111111-1-11111111111111-1-1-1-1-111-1-1-1111111-1-11111111111111-1-1-1-1-111-1-1-1111111-1-11111111111111-1-1-1-1-111-1-1-1
χ4111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1111
χ52222222222-1-1-1-120000-1-1-1-1-1-12000002222222222-1-1-1-120000-1-1-1-1-1-12000002222222222-1-1-1-120000-1-1-1-1-1-1200000
χ6222222-2-222-1-1-1-120000-1-11111-200000222222-2-222-1-1-1-120000-1-11111-200000222222-2-222-1-1-1-120000-1-11111-200000
χ72222-2-200222222-20000-2-200000000002222-2-200222222-20000-2-200000000002222-2-200222222-20000-2-20000000000
χ82222-2-20022-1-1-1-1-2000011−i3−i3i3i30000002222-2-20022-1-1-1-1-2000011−i3−i3i3i30000002222-2-20022-1-1-1-1-2000011−i3−i3i3i3000000
χ92222-2-20022-1-1-1-1-2000011i3i3−i3−i30000002222-2-20022-1-1-1-1-2000011i3i3−i3−i30000002222-2-20022-1-1-1-1-2000011i3i3−i3−i3000000
χ1022-2-200002-222-2-2022−2−200000002−200022-2-200002-222-2-2022−2−200000002−200022-2-200002-222-2-2022−2−200000002−2000
χ1122-2-200002-222-2-20−2−2220000000−2200022-2-200002-222-2-20−2−2220000000−2200022-2-200002-222-2-20−2−2220000000−22000
χ122-2-22-222-200-111-10−i2i2−i2i21-11-11-1000−i2i202-2-22-222-200-111-10−i2i2−i2i21-11-11-1000−i2i202-2-22-222-200-111-10−i2i2−i2i21-11-11-1000−i2i20
χ132-2-22-222-200-111-10i2−i2i2−i21-11-11-1000i2−i202-2-22-222-200-111-10i2−i2i2−i21-11-11-1000i2−i202-2-22-222-200-111-10i2−i2i2−i21-11-11-1000i2−i20
χ142-2-22-22-2200-111-10−i2i2−i2i21-1-11-11000i2−i202-2-22-22-2200-111-10−i2i2−i2i21-1-11-11000i2−i202-2-22-22-2200-111-10−i2i2−i2i21-1-11-11000i2−i20
χ152-2-22-22-2200-111-10i2−i2i2−i21-1-11-11000−i2i202-2-22-22-2200-111-10i2−i2i2−i21-1-11-11000−i2i202-2-22-22-2200-111-10i2−i2i2−i21-1-11-11000−i2i20
χ1633333333-1-10000-11111000000-1-1-111-133333333-1-10000-11111000000-1-1-111-133333333-1-10000-11111000000-1-1-111-1
χ1733333333-1-10000-1-1-1-1-1000000-111-1-1133333333-1-10000-1-1-1-1-1000000-111-1-1133333333-1-10000-1-1-1-1-1000000-111-1-11
χ18333333-3-3-1-10000-111110000001-1-1-1-11333333-3-3-1-10000-111110000001-1-1-1-11333333-3-3-1-10000-111110000001-1-1-1-11
χ19333333-3-3-1-10000-1-1-1-1-100000011111-1333333-3-3-1-10000-1-1-1-1-100000011111-1333333-3-3-1-10000-1-1-1-1-100000011111-1
χ2044-4-400004-4-2-2220000000000000000044-4-400004-4-2-2220000000000000000044-4-400004-4-2-22200000000000000000
χ214-44-4000000-22-2202i−2i−2i2i0000000000004-44-4000000-22-2202i−2i−2i2i0000000000004-44-4000000-22-2202i−2i−2i2i000000000000
χ224-44-4000000-22-220−2i2i2i−2i0000000000004-44-4000000-22-220−2i2i2i−2i0000000000004-44-4000000-22-220−2i2i2i−2i000000000000
χ234-4-444-400001-1-11000001-1−i3i3i3−i30000004-4-444-400001-1-11000001-1−i3i3i3−i30000004-4-444-400001-1-11000001-1−i3i3i3−i3000000
χ244-4-444-400001-1-11000001-1i3−i3−i3i30000004-4-444-400001-1-11000001-1i3−i3−i3i30000004-4-444-400001-1-11000001-1i3−i3−i3i3000000
χ254-4-444-40000-222-200000-2200000000004-4-444-40000-222-200000-2200000000004-4-444-40000-222-200000-220000000000
χ264-4-44-444-4001-1-1100000-11-11-110000004-4-44-444-4001-1-1100000-11-11-110000004-4-44-444-4001-1-1100000-11-11-11000000
χ274-4-44-44-44001-1-1100000-111-11-10000004-4-44-44-44001-1-1100000-111-11-10000004-4-44-44-44001-1-1100000-111-11-1000000
χ286666-6-600-2-20000200000000000000006666-6-600-2-20000200000000000000006666-6-600-2-2000020000000000000000
χ2966-6-60000-220000022−2−20000000−2200066-6-60000-220000022−2−20000000−2200066-6-60000-220000022−2−20000000−22000
χ3066-6-60000-2200000−2−22200000002−200066-6-60000-2200000−2−22200000002−200066-6-60000-2200000−2−22200000002−2000
χ318-88-80000002-22-2000000000000000008-88-80000002-22-2000000000000000008-88-80000002-22-200000000000000000
χ321111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ33111111111111111-1-1-1-11111111-1-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ34111111-1-11111111111111-1-1-1-1-111-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ35111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1111−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ362222222222-1-1-1-120000-1-1-1-1-1-1200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i300001−i321−i321−i321−i321−i321−i32−1+i300000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i300001+i321+i321+i321+i321+i321+i32−1−i300000
χ37222222-2-222-1-1-1-120000-1-11111-200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i300001−i321−i32−1+i32−1+i32−1+i32−1+i321−i300000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i300001+i321+i32−1−i32−1−i32−1−i32−1−i321+i300000
χ382222-2-200222222-20000-2-20000000000−1+i3−1+i3−1+i3−1+i31−i31−i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i300001−i31−i30000000000−1−i3−1−i3−1−i3−1−i31+i31+i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i300001+i31+i30000000000
χ392222-2-20022-1-1-1-1-2000011−i3−i3i3i3000000−1+i3−1+i3−1+i3−1+i31−i31−i300−1+i3−1+i31−i321−i321−i321−i321−i30000−1+i32−1+i323+i323+i32−3−i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i300−1−i3−1−i31+i321+i321+i321+i321+i30000−1−i32−1−i32−3+i32−3+i323−i323−i32000000
χ402222-2-20022-1-1-1-1-2000011i3i3−i3−i3000000−1+i3−1+i3−1+i3−1+i31−i31−i300−1+i3−1+i31−i321−i321−i321−i321−i30000−1+i32−1+i32−3−i32−3−i323+i323+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i300−1−i3−1−i31+i321+i321+i321+i321+i30000−1−i32−1−i323−i323−i32−3+i32−3+i32000000
χ4122-2-200002-222-2-2022−2−200000002−2000−1+i3−1+i31−i31−i30000−1+i31−i3−1+i3−1+i31−i31−i30ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000ζ5−ζ23−ζ5+ζ23000−1−i3−1−i31+i31+i30000−1−i31+i3−1−i3−1−i31+i31+i30−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000−ζ7+ζ13ζ7−ζ13000
χ4222-2-200002-222-2-20−2−2220000000−22000−1+i3−1+i31−i31−i30000−1+i31−i3−1+i3−1+i31−i31−i30−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000−ζ5+ζ23ζ5−ζ23000−1−i3−1−i31+i31+i30000−1−i31+i3−1−i3−1−i31+i31+i30ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000ζ7−ζ13−ζ7+ζ13000
χ432-2-22-222-200-111-10−i2i2−i2i21-11-11-1000−i2i20−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i32−1+i32−1+i321−i320ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1+i321−i32−1+i321−i32−1+i321−i32000ζ5+ζ23−ζ5−ζ230−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i32−1−i32−1−i321+i320ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1−i321+i32−1−i321+i32−1−i321+i32000ζ7+ζ13−ζ7−ζ130
χ442-2-22-222-200-111-10i2−i2i2−i21-11-11-1000i2−i20−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i32−1+i32−1+i321−i320−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1+i321−i32−1+i321−i32−1+i321−i32000−ζ5−ζ23ζ5+ζ230−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i32−1−i32−1−i321+i320−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1−i321+i32−1−i321+i32−1−i321+i32000−ζ7−ζ13ζ7+ζ130
χ452-2-22-22-2200-111-10−i2i2−i2i21-1-11-11000i2−i20−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3001−i32−1+i32−1+i321−i320ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1+i321−i321−i32−1+i321−i32−1+i32000−ζ5−ζ23ζ5+ζ230−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3001+i32−1−i32−1−i321+i320ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1−i321+i321+i32−1−i321+i32−1−i32000−ζ7−ζ13ζ7+ζ130
χ462-2-22-22-2200-111-10i2−i2i2−i21-1-11-11000−i2i20−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3001−i32−1+i32−1+i321−i320−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1+i321−i321−i32−1+i321−i32−1+i32000ζ5+ζ23−ζ5−ζ230−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3001+i32−1−i32−1−i321+i320−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1−i321+i321+i32−1−i321+i32−1−i32000ζ7+ζ13−ζ7−ζ130
χ4733333333-1-10000-11111000000-1-1-111-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i321−i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i321+i32−1−i32−1−i321+i32
χ4833333333-1-10000-1-1-1-1-1000000-111-1-11−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i320000001−i32−1+i32−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i320000001+i32−1−i32−1−i321+i321+i32−1−i32
χ49333333-3-3-1-10000-111110000001-1-1-1-11−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200001−i32−1+i32−1+i32−1+i32−1+i32000000−1+i321−i321−i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200001+i32−1−i32−1−i32−1−i32−1−i32000000−1−i321+i321+i321+i321+i32−1−i32
χ50333333-3-3-1-10000-1-1-1-1-100000011111-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200001−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200001+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ5144-4-400004-4-2-22200000000000000000−2+2i3−2+2i32−2i32−2i30000−2+2i32−2i31−i31−i3−1+i3−1+i300000000000000000−2−2i3−2−2i32+2i32+2i30000−2−2i32+2i31+i31+i3−1−i3−1−i300000000000000000
χ524-44-4000000-22-2202i−2i−2i2i000000000000−2+2i32−2i3−2+2i32−2i30000001−i3−1+i31−i3−1+i302ζ14−2ζ14−2ζ142ζ14000000000000−2−2i32+2i3−2−2i32+2i30000001+i3−1−i31+i3−1−i302ζ22−2ζ22−2ζ222ζ22000000000000
χ534-44-4000000-22-220−2i2i2i−2i000000000000−2+2i32−2i3−2+2i32−2i30000001−i3−1+i31−i3−1+i30−2ζ142ζ142ζ14−2ζ14000000000000−2−2i32+2i3−2−2i32+2i30000001+i3−1−i31+i3−1−i30−2ζ222ζ222ζ22−2ζ22000000000000
χ544-4-444-400001-1-11000001-1−i3i3i3−i3000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i30000−1+i321−i321−i32−1+i3200000−1+i321−i323+i32−3−i32−3−i323+i32000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i30000−1−i321+i321+i32−1−i3200000−1−i321+i32−3+i323−i323−i32−3+i32000000
χ554-4-444-400001-1-11000001-1i3−i3−i3i3000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i30000−1+i321−i321−i32−1+i3200000−1+i321−i32−3−i323+i323+i32−3−i32000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i30000−1−i321+i321+i32−1−i3200000−1−i321+i323−i32−3+i32−3+i323−i32000000
χ564-4-444-40000-222-200000-220000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i300001−i3−1+i3−1+i31−i3000001−i3−1+i30000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i300001+i3−1−i3−1−i31+i3000001+i3−1−i30000000000
χ574-4-44-444-4001-1-1100000-11-11-11000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i300−1+i321−i321−i32−1+i32000001−i32−1+i321−i32−1+i321−i32−1+i32000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i300−1−i321+i321+i32−1−i32000001+i32−1−i321+i32−1−i321+i32−1−i32000000
χ584-4-44-44-44001-1-1100000-111-11-1000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i300−1+i321−i321−i32−1+i32000001−i32−1+i32−1+i321−i32−1+i321−i32000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i300−1−i321+i321+i32−1−i32000001+i32−1−i32−1−i321+i32−1−i321+i32000000
χ596666-6-600-2-2000020000000000000000−3+3i3−3+3i3−3+3i3−3+3i33−3i33−3i3001−i31−i30000−1+i30000000000000000−3−3i3−3−3i3−3−3i3−3−3i33+3i33+3i3001+i31+i30000−1−i30000000000000000
χ6066-6-60000-220000022−2−20000000−22000−3+3i3−3+3i33−3i33−3i300001−i3−1+i300000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000−ζ5+ζ23ζ5−ζ23000−3−3i3−3−3i33+3i33+3i300001+i3−1−i300000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000ζ7−ζ13−ζ7+ζ13000
χ6166-6-60000-2200000−2−22200000002−2000−3+3i3−3+3i33−3i33−3i300001−i3−1+i300000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000ζ5−ζ23−ζ5+ζ23000−3−3i3−3−3i33+3i33+3i300001+i3−1−i300000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000−ζ7+ζ13ζ7−ζ13000
χ628-88-80000002-22-200000000000000000−4+4i34−4i3−4+4i34−4i3000000−1+i31−i3−1+i31−i300000000000000000−4−4i34+4i3−4−4i34+4i3000000−1−i31+i3−1−i31+i300000000000000000
χ631111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ64111111111111111-1-1-1-11111111-1-1-1-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ65111111-1-11111111111111-1-1-1-1-111-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32
χ66111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1111−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ672222222222-1-1-1-120000-1-1-1-1-1-1200000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i300001+i321+i321+i321+i321+i321+i32−1−i300000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i300001−i321−i321−i321−i321−i321−i32−1+i300000
χ68222222-2-222-1-1-1-120000-1-11111-200000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i300001+i321+i32−1−i32−1−i32−1−i32−1−i321+i300000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i300001−i321−i32−1+i32−1+i32−1+i32−1+i321−i300000
χ692222-2-200222222-20000-2-20000000000−1−i3−1−i3−1−i3−1−i31+i31+i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i300001+i31+i30000000000−1+i3−1+i3−1+i3−1+i31−i31−i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i300001−i31−i30000000000
χ702222-2-20022-1-1-1-1-2000011−i3−i3i3i3000000−1−i3−1−i3−1−i3−1−i31+i31+i300−1−i3−1−i31+i321+i321+i321+i321+i30000−1−i32−1−i32−3+i32−3+i323−i323−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i300−1+i3−1+i31−i321−i321−i321−i321−i30000−1+i32−1+i323+i323+i32−3−i32−3−i32000000
χ712222-2-20022-1-1-1-1-2000011i3i3−i3−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i300−1−i3−1−i31+i321+i321+i321+i321+i30000−1−i32−1−i323−i323−i32−3+i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i31−i300−1+i3−1+i31−i321−i321−i321−i321−i30000−1+i32−1+i32−3−i32−3−i323+i323+i32000000
χ7222-2-200002-222-2-2022−2−200000002−2000−1−i3−1−i31+i31+i30000−1−i31+i3−1−i3−1−i31+i31+i30−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000−ζ7+ζ13ζ7−ζ13000−1+i3−1+i31−i31−i30000−1+i31−i3−1+i3−1+i31−i31−i30ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000ζ5−ζ23−ζ5+ζ23000
χ7322-2-200002-222-2-20−2−2220000000−22000−1−i3−1−i31+i31+i30000−1−i31+i3−1−i3−1−i31+i31+i30ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000ζ7−ζ13−ζ7+ζ13000−1+i3−1+i31−i31−i30000−1+i31−i3−1+i3−1+i31−i31−i30−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000−ζ5+ζ23ζ5−ζ23000
χ742-2-22-222-200-111-10−i2i2−i2i21-11-11-1000−i2i20−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i32−1−i32−1−i321+i320ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1−i321+i32−1−i321+i32−1−i321+i32000ζ7+ζ13−ζ7−ζ130−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i32−1+i32−1+i321−i320ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1+i321−i32−1+i321−i32−1+i321−i32000ζ5+ζ23−ζ5−ζ230
χ752-2-22-222-200-111-10i2−i2i2−i21-11-11-1000i2−i20−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i32−1−i32−1−i321+i320−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1−i321+i32−1−i321+i32−1−i321+i32000−ζ7−ζ13ζ7+ζ130−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i32−1+i32−1+i321−i320−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1+i321−i32−1+i321−i32−1+i321−i32000−ζ5−ζ23ζ5+ζ230
χ762-2-22-22-2200-111-10−i2i2−i2i21-1-11-11000i2−i20−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3001+i32−1−i32−1−i321+i320ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1−i321+i321+i32−1−i321+i32−1−i32000−ζ7−ζ13ζ7+ζ130−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3001−i32−1+i32−1+i321−i320ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1+i321−i321−i32−1+i321−i32−1+i32000−ζ5−ζ23ζ5+ζ230
χ772-2-22-22-2200-111-10i2−i2i2−i21-1-11-11000−i2i20−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3001+i32−1−i32−1−i321+i320−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1−i321+i321+i32−1−i321+i32−1−i32000ζ7+ζ13−ζ7−ζ130−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3001−i32−1+i32−1+i321−i320−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1+i321−i321−i32−1+i321−i32−1+i32000ζ5+ζ23−ζ5−ζ230
χ7833333333-1-10000-11111000000-1-1-111-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i321+i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i321−i32−1+i32−1+i321−i32
χ7933333333-1-10000-1-1-1-1-1000000-111-1-11−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i320000001+i32−1−i32−1−i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i320000001−i32−1+i32−1+i321−i321−i32−1+i32
χ80333333-3-3-1-10000-111110000001-1-1-1-11−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200001+i32−1−i32−1−i32−1−i32−1−i32000000−1−i321+i321+i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200001−i32−1+i32−1+i32−1+i32−1+i32000000−1+i321−i321−i321−i321−i32−1+i32
χ81333333-3-3-1-10000-1-1-1-1-100000011111-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200001+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200001−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ8244-4-400004-4-2-22200000000000000000−2−2i3−2−2i32+2i32+2i30000−2−2i32+2i31+i31+i3−1−i3−1−i300000000000000000−2+2i3−2+2i32−2i32−2i30000−2+2i32−2i31−i31−i3−1+i3−1+i300000000000000000
χ834-44-4000000-22-2202i−2i−2i2i000000000000−2−2i32+2i3−2−2i32+2i30000001+i3−1−i31+i3−1−i302ζ22−2ζ22−2ζ222ζ22000000000000−2+2i32−2i3−2+2i32−2i30000001−i3−1+i31−i3−1+i302ζ14−2ζ14−2ζ142ζ14000000000000
χ844-44-4000000-22-220−2i2i2i−2i000000000000−2−2i32+2i3−2−2i32+2i30000001+i3−1−i31+i3−1−i30−2ζ222ζ222ζ22−2ζ22000000000000−2+2i32−2i3−2+2i32−2i30000001−i3−1+i31−i3−1+i30−2ζ142ζ142ζ14−2ζ14000000000000
χ854-4-444-400001-1-11000001-1−i3i3i3−i3000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i30000−1−i321+i321+i32−1−i3200000−1−i321+i32−3+i323−i323−i32−3+i32000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i30000−1+i321−i321−i32−1+i3200000−1+i321−i323+i32−3−i32−3−i323+i32000000
χ864-4-444-400001-1-11000001-1i3−i3−i3i3000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i30000−1−i321+i321+i32−1−i3200000−1−i321+i323−i32−3+i32−3+i323−i32000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i30000−1+i321−i321−i32−1+i3200000−1+i321−i32−3−i323+i323+i32−3−i32000000
χ874-4-444-40000-222-200000-220000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i300001+i3−1−i3−1−i31+i3000001+i3−1−i30000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i300001−i3−1+i3−1+i31−i3000001−i3−1+i30000000000
χ884-4-44-444-4001-1-1100000-11-11-11000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i300−1−i321+i321+i32−1−i32000001+i32−1−i321+i32−1−i321+i32−1−i32000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i300−1+i321−i321−i32−1+i32000001−i32−1+i321−i32−1+i321−i32−1+i32000000
χ894-4-44-44-44001-1-1100000-111-11-1000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i300−1−i321+i321+i32−1−i32000001+i32−1−i32−1−i321+i32−1−i321+i32000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i300−1+i321−i321−i32−1+i32000001−i32−1+i32−1+i321−i32−1+i321−i32000000
χ906666-6-600-2-2000020000000000000000−3−3i3−3−3i3−3−3i3−3−3i33+3i33+3i3001+i31+i30000−1−i30000000000000000−3+3i3−3+3i3−3+3i3−3+3i33−3i33−3i3001−i31−i30000−1+i30000000000000000
χ9166-6-60000-220000022−2−20000000−22000−3−3i3−3−3i33+3i33+3i300001+i3−1−i300000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000ζ7−ζ13−ζ7+ζ13000−3+3i3−3+3i33−3i33−3i300001−i3−1+i300000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000−ζ5+ζ23ζ5−ζ23000
χ9266-6-60000-2200000−2−22200000002−2000−3−3i3−3−3i33+3i33+3i300001+i3−1−i300000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000−ζ7+ζ13ζ7−ζ13000−3+3i3−3+3i33−3i33−3i300001−i3−1+i300000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000ζ5−ζ23−ζ5+ζ23000
χ938-88-80000002-22-200000000000000000−4−4i34+4i3−4−4i34+4i3000000−1−i31+i3−1−i31+i300000000000000000−4+4i34−4i3−4+4i34−4i3000000−1+i31−i3−1+i31−i300000000000000000

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