Finite Group Databasebeta

← Group #79574

Character table — Group #79574

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222222222244444444444444444446666888888888812121212121224242424
order12223444466688881212121222224881212121224242424242424244444446666121212124488884444
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-111-1-1
χ6111111111111-1-1-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-111
χ7111111111111-1-1-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1-1
χ911111-1-1111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11-1
χ1011111-1-1111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-11
χ1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111-111-1-1-11-11
χ1211111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-1-1111-11-1
χ1311111-1-111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1111111-1-1-1111-1-1-1-1111-1-1-1111-1-11
χ1411111-1-111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-111-1111-1-1-1-111-1111-1-1-111-1
χ1511111-1-111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111111-1-11-1-1-11111-1-11-1-1-111-111-1
χ1611111-1-111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11111-1-1111-1-1-11111-1-1-1111-1-11-1-11
χ172222222-2-2222000022220000-200-2-2-2-20000000022220000000000-2-200000000
χ182222222-2-2222000022220000-200-2-2-2-200000000-2-2-2-200000000002200000000
χ1922222-2-2-2-22220000-2-2-2-2000020022-2-20000000022-2-20000000000-2200000000
χ2022222-2-2-2-22220000-2-2-2-2000020022-2-200000000-2-22200000000002-200000000
χ212222-12222-1-1-12222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-10000000000
χ222222-12222-1-1-12222-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2111111110000000000
χ232222-12222-1-1-1-2-2-2-2-1-1-1-122-2-22-2-2-1-1-1-11111111100002-2-1-111-1-1110000000000
χ242222-12222-1-1-1-2-2-2-2-1-1-1-1-2-2222-2-2-1-1-1-1111111110000-2211-1-111-1-10000000000
χ252222-1-2-222-1-1-1222211112222-2-2-211-1-1-1-1-1-111110000-2-2-1-1-1-111110000000000
χ262222-1-2-222-1-1-122221111-2-2-2-2-2-2-211-1-1-1-1-1-111110000221111-1-1-1-10000000000
χ272222-1-2-222-1-1-1-2-2-2-2111122-2-2-22211-1-11111-1-1-1-10000-22-1-11111-1-10000000000
χ282222-1-2-222-1-1-1-2-2-2-21111-2-222-22211-1-11111-1-1-1-100002-211-1-1-1-1110000000000
χ2922-2-22002-22-2-222-2-200002-22-2000002-222-2-200000000002-22-200000000000000
χ3022-2-22002-22-2-222-2-20000-22-22000002-222-2-20000000000-22-2200000000000000
χ3122-2-22002-22-2-2-2-22200002-2-22000002-2-2-22200000000002-2-2200000000000000
χ3222-2-22002-22-2-2-2-2220000-222-2000002-2-2-2220000000000-222-200000000000000
χ3322-2-2-1002-2-11122-2-233−3−32-22-20003−3-11-1-11133−3−3000000-11-113−33−30000000000
χ3422-2-2-1002-2-11122-2-233−3−3-22-220003−3-11-1-11133−3−30000001-11-1−33−330000000000
χ3522-2-2-1002-2-11122-2-2−3−3332-22-2000−33-11-1-111−3−333000000-11-11−33−330000000000
χ3622-2-2-1002-2-11122-2-2−3−333-22-22000−33-11-1-111−3−3330000001-11-13−33−30000000000
χ3722-2-2-1002-2-111-2-22233−3−32-2-220003−3-1111-1-1−3−333000000-111-13−3−330000000000
χ3822-2-2-1002-2-111-2-22233−3−3-222-20003−3-1111-1-1−3−3330000001-1-11−333−30000000000
χ3922-2-2-1002-2-111-2-222−3−3332-2-22000−33-1111-1-133−3−3000000-111-1−333−30000000000
χ4022-2-2-1002-2-111-2-222−3−333-222-2000−33-1111-1-133−3−30000001-1-113−3−330000000000
χ412-22-222-200-2-222−22−22-22-2000002−200002−22−22−22−22i−2i2i−2i000000000000−i2i2−i2i20000
χ422-22-222-200-2-222−22−22-22-2000002−200002−22−22−22−2−2i2i−2i2i000000000000i2−i2i2−i20000
χ432-22-222-200-2-22−22−222-22-200000−220000−22−22−22−222i−2i2i−2i000000000000i2−i2i2−i20000
χ442-22-222-200-2-22−22−222-22-200000−220000−22−22−22−22−2i2i−2i2i000000000000−i2i2−i2i20000
χ452-22-22-2200-2-222−22−2-22-2200000−2200002−22−2−22−222i−2i−2i2i000000000000−i2i2i2−i20000
χ462-22-22-2200-2-222−22−2-22-2200000−2200002−22−2−22−22−2i2i2i−2i000000000000i2−i2−i2i20000
χ472-22-22-2200-2-22−22−22-22-22000002−20000−22−222−22−22i−2i−2i2i000000000000i2−i2−i2i20000
χ482-22-22-2200-2-22−22−22-22-22000002−20000−22−222−22−2−2i2i2i−2i000000000000−i2i2i2−i20000
χ494444-244-4-4-2-2-20000-2-2-2-20000-400222200000000000000000000000000000000
χ504444-2-4-4-4-4-2-2-2000022220000400-2-22200000000000000000000000000000000
χ5144-4-4400-444-4-400000000000000000-4400000000000000000000000000000000
χ5244-4-4-200-44-22200002323−23−230000000−23232-200000000000000000000000000000000
χ5344-4-4-200-44-2220000−23−232323000000023−232-200000000000000000000000000000000
χ544-44-4-24-40022-222−2222−22-22-220000022−220000−22−22−22−22000000000000000000000000
χ554-44-4-24-40022-2−2222−2222-22-2200000−222200002−22−22−22−2000000000000000000000000
χ564-44-4-2-440022-222−2222−222-22-200000−22220000−22−222−22−2000000000000000000000000
χ574-44-4-2-440022-2−2222−22222-22-20000022−2200002−22−2−22−22000000000000000000000000
χ584-4-4440000-44-422−22−222200000000000000022−22−22220000000000000000000000000000
χ594-4-4440000-44-4−222222−22000000000000000−222222−220000000000000000000000000000
χ604-4-44-200002-2222−22−222223−23−232300000000000−222−26−6−66000000000000000000000000
χ614-4-44-200002-2222−22−2222−232323−2300000000000−222−2−666−6000000000000000000000000
χ624-4-44-200002-22−222222−2223−23−2323000000000002−2−22−666−6000000000000000000000000
χ634-4-44-200002-22−222222−22−232323−23000000000002−2−226−6−66000000000000000000000000

Here i is the imaginary unit (i² = −1).