Finite Group Databasebeta

← Group #79639

Character table — Group #79639

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222222222244444444444444444446666888888888812121212121224242424
order1222344446668888121212124444488121212122424242424242424444424661212121212124488882244
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-1-1-11-11-1
χ6111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-11-11
χ7111111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-11-11
χ8111111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111111-11-1
χ911111-1-1111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11-111-1-11-1-11
χ1011111-1-1111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-111-111-1
χ1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1
χ1211111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-11-1-1111-1-11
χ1311111-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-11-1-111-1-1111-1-1-11111-1-1
χ1411111-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-11-1-111-1-111-1111-1-1-1-111
χ1511111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11-111-1-111-1-11-1-1-111-1-111
χ1611111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-111-1-111-1-1-1111-1-111-1-1
χ172222222-2-222200002222-2000000-2-2-2-20000000022220000000000-2-200000000
χ182222222-2-222200002222-2000000-2-2-2-200000000-2-2-2-200000000002200000000
χ1922222-2-2-2-22220000-2-2-2-2200000022-2-20000000022-2-20000000000-2200000000
χ2022222-2-2-2-22220000-2-2-2-2200000022-2-200000000-2-22200000000002-200000000
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
χ222222-12222-1-1-12222-1-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2111111110000000000
χ232222-12222-1-1-1-2-2-2-2-1-1-1-1222-2-2-2-2-1-1-1-11111111100002-2-1-1-1-111110000000000
χ242222-12222-1-1-1-2-2-2-2-1-1-1-12-2-222-2-2-1-1-1-1111111110000-221111-1-1-1-10000000000
χ252222-1-2-222-1-1-122221111-22222-2-211-1-1-1-1-1-111110000-2-211-1-1-1-1110000000000
χ262222-1-2-222-1-1-122221111-2-2-2-2-2-2-211-1-1-1-1-1-11111000022-1-11111-1-10000000000
χ272222-1-2-222-1-1-1-2-2-2-21111-222-2-22211-1-11111-1-1-1-10000-2211-1-111-1-10000000000
χ282222-1-2-222-1-1-1-2-2-2-21111-2-2-2222211-1-11111-1-1-1-100002-2-1-111-1-1110000000000
χ2922-2-222i−2i002-2-2−i2−i2i2i22i2i−2i−2i000002−20000−i2−i2i2i222−2−22i−2i2-20000000000002−2−i2i20000
χ3022-2-222i−2i002-2-2−i2−i2i2i22i2i−2i−2i000002−20000−i2−i2i2i222−2−2−2i2i-22000000000000−22i2−i20000
χ3122-2-222i−2i002-2-2i2i2−i2−i22i2i−2i−2i00000−220000i2i2−i2−i2−2−2222i−2i2-2000000000000−22i2−i20000
χ3222-2-222i−2i002-2-2i2i2−i2−i22i2i−2i−2i00000−220000i2i2−i2−i2−2−222−2i2i-220000000000002−2−i2i20000
χ3322-2-22−2i2i002-2-2−i2−i2i2i2−2i−2i2i2i00000−220000−i2−i2i2i2−2−2222i−2i-220000000000002−2i2−i20000
χ3422-2-22−2i2i002-2-2−i2−i2i2i2−2i−2i2i2i00000−220000−i2−i2i2i2−2−222−2i2i2-2000000000000−22−i2i20000
χ3522-2-22−2i2i002-2-2i2i2−i2−i2−2i−2i2i2i000002−20000i2i2−i2−i222−2−22i−2i-22000000000000−22−i2i20000
χ3622-2-22−2i2i002-2-2i2i2−i2−i2−2i−2i2i2i000002−20000i2i2−i2−i222−2−2−2i2i2-20000000000002−2i2−i20000
χ372-2-222002-2-22-22-22-2000002i−2i2i−2i00002-22-22-20000000000002i−2i2i−2i000000000000
χ382-2-222002-2-22-22-22-200000−2i2i−2i2i00002-22-22-2000000000000−2i2i−2i2i000000000000
χ392-2-222002-2-22-2-22-22000002i−2i−2i2i00002-2-22-220000000000002i−2i−2i2i000000000000
χ402-2-222002-2-22-2-22-2200000−2i2i2i−2i00002-2-22-22000000000000−2i2i2i−2i000000000000
χ412-2-22-1002-21-112-22-23−33−302i−2i2i−2i003−3-11-11-113−33−3000000−i3i3−ii−ii−i3i30000000000
χ422-2-22-1002-21-112-22-23−33−30−2i2i−2i2i003−3-11-11-113−33−3000000i3−i3i−ii−ii3−i30000000000
χ432-2-22-1002-21-112-22-2−33−3302i−2i2i−2i00−33-11-11-11−33−33000000i3−i3−ii−iii3−i30000000000
χ442-2-22-1002-21-112-22-2−33−330−2i2i−2i2i00−33-11-11-11−33−33000000−i3i3i−ii−i−i3i30000000000
χ452-2-22-1002-21-11-22-223−33−302i−2i−2i2i003−3-111-11-1−33−33000000−i3i3−iii−ii3−i30000000000
χ462-2-22-1002-21-11-22-223−33−30−2i2i2i−2i003−3-111-11-1−33−33000000i3−i3i−i−ii−i3i30000000000
χ472-2-22-1002-21-11-22-22−33−3302i−2i−2i2i00−33-111-11-13−33−3000000i3−i3−iii−i−i3i30000000000
χ482-2-22-1002-21-11-22-22−33−330−2i2i2i−2i00−33-111-11-13−33−3000000−i3i3i−i−iii3−i30000000000
χ494444-244-4-4-2-2-20000-2-2-2-2-4000000222200000000000000000000000000000000
χ504444-2-4-4-4-4-2-2-2000022224000000-2-22200000000000000000000000000000000
χ5144-4-4-24i−4i00-222−2i2−2i22i22i2−2i−2i2i2i0000022−220000i2i2−i2−i2−2−222000000000000000000000000
χ5244-4-4-24i−4i00-2222i22i2−2i2−2i2−2i−2i2i2i00000−22220000−i2−i2i2i222−2−2000000000000000000000000
χ5344-4-4-2−4i4i00-222−2i2−2i22i22i22i2i−2i−2i00000−22220000i2i2−i2−i222−2−2000000000000000000000000
χ5444-4-4-2−4i4i00-2222i22i2−2i2−2i22i2i−2i−2i0000022−220000−i2−i2i2i2−2−222000000000000000000000000
χ554-44-440000-4-44−2i22i22i2−2i2000000000000000−2i22i22i2−2i20000000000000000000000000000
χ564-44-440000-4-442i2−2i2−2i22i20000000000000002i2−2i2−2i22i20000000000000000000000000000
χ574-44-4-2000022-2−2i22i22i2−2i2−2i32i32i3−2i300000000000i2−i2−i2i2−666−6000000000000000000000000
χ584-44-4-2000022-2−2i22i22i2−2i22i3−2i3−2i32i300000000000i2−i2−i2i26−6−66000000000000000000000000
χ594-44-4-2000022-22i2−2i2−2i22i2−2i32i32i3−2i300000000000−i2i2i2−i26−6−66000000000000000000000000
χ604-44-4-2000022-22i2−2i2−2i22i22i3−2i3−2i32i300000000000−i2i2i2−i2−666−6000000000000000000000000
χ614-4-44400-44-44-400000000000000000-4400000000000000000000000000000000
χ624-4-44-200-442-22000023−2323−230000000−23232-200000000000000000000000000000000
χ634-4-44-200-442-220000−2323−2323000000023−232-200000000000000000000000000000000

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