Finite Group Databasebeta

← Group #79680

Character table — Group #79680

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222222222244444444444444444446666888888888812121212121224242424
order1222344446668888121212122244488121212122424242424242424444444661212121212122288884444
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-1-1-1-1-111
χ6111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1111111-1-1
χ7111111111111-1-1-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111-1-1-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-111
χ911111-1-1111111111-1-1-1-111-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-11-111-1-11-11-1
χ1011111-1-1111111111-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-11-1-111-11-11
χ1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1111-111-1-1-11-11
χ1211111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-11-1-1111-11-1
χ1311111-1-111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1111111-1-1-1111-1-1-1-1111-1-1-111-111-1
χ1411111-1-111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-111-1111-1-1-1-111-1111-1-11-1-11
χ1511111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11-1-1-11111-1-11-1-1-1111-1-11
χ1611111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-1-11111-1-1-1111-1-1-111-1
χ172222222-2-22220000222200-20000-2-2-2-20000000022220000000000-2-200000000
χ182222222-2-22220000222200-20000-2-2-2-200000000-2-2-2-200000000002200000000
χ1922222-2-2-2-22220000-2-2-2-2002000022-2-20000000022-2-20000000000-2200000000
χ2022222-2-2-2-22220000-2-2-2-2002000022-2-200000000-2-22200000000002-200000000
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
χ222222-12222-1-1-12222-1-1-1-1-2-22-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2111111110000000000
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
χ242222-12222-1-1-1-2-2-2-2-1-1-1-1-2-2222-2-2-1-1-1-1111111110000-221111-1-1-1-10000000000
χ252222-1-2-222-1-1-12222111122-222-2-211-1-1-1-1-1-111110000-2-2-1-111-1-1110000000000
χ262222-1-2-222-1-1-122221111-2-2-2-2-2-2-211-1-1-1-1-1-1111100002211-1-111-1-10000000000
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
χ282222-1-2-222-1-1-1-2-2-2-21111-2-2-2222211-1-11111-1-1-1-100002-211-1-1-1-1110000000000
χ292-22-222-2002-2-2−i2−i2i2i222-2-200000−i2i20000−i2−i2i2i2−i2−i2i2i22i−2i2i−2i0000000000002−22−20000
χ302-22-222-2002-2-2−i2−i2i2i222-2-200000−i2i20000−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i000000000000−22−220000
χ312-22-222-2002-2-2i2i2−i2−i222-2-200000i2−i20000i2i2−i2−i2i2i2−i2−i22i−2i2i−2i000000000000−22−220000
χ322-22-222-2002-2-2i2i2−i2−i222-2-200000i2−i20000i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i0000000000002−22−20000
χ332-22-22-22002-2-2−i2−i2i2i2-2-22200000i2−i20000−i2−i2i2i2i2i2−i2−i22i−2i−2i2i0000000000002−2−220000
χ342-22-22-22002-2-2−i2−i2i2i2-2-22200000i2−i20000−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i000000000000−222−20000
χ352-22-22-22002-2-2i2i2−i2−i2-2-22200000−i2i20000i2i2−i2−i2−i2−i2i2i22i−2i−2i2i000000000000−222−20000
χ362-22-22-22002-2-2i2i2−i2−i2-2-22200000−i2i20000i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i0000000000002−2−220000
χ372-2-222002-2-22-22i−2i2i−2i00002-202i−2i00002-22i−2i2i−2i00000000002-2002i−2i000000000000
χ382-2-222002-2-22-22i−2i2i−2i0000-220−2i2i00002-22i−2i2i−2i0000000000-2200−2i2i000000000000
χ392-2-222002-2-22-2−2i2i−2i2i00002-20−2i2i00002-2−2i2i−2i2i00000000002-200−2i2i000000000000
χ402-2-222002-2-22-2−2i2i−2i2i0000-2202i−2i00002-2−2i2i−2i2i0000000000-22002i−2i000000000000
χ412-2-22-1002-21-112i−2i2i−2i3−33−32-202i−2i003−3-11−ii−ii−i3i3−i3i3000000-113−3−ii−i3i30000000000
χ422-2-22-1002-21-112i−2i2i−2i3−33−3-220−2i2i003−3-11−ii−ii−i3i3−i3i30000001-1−33i−ii3−i30000000000
χ432-2-22-1002-21-112i−2i2i−2i−33−332-202i−2i00−33-11−ii−iii3−i3i3−i3000000-11−33−iii3−i30000000000
χ442-2-22-1002-21-112i−2i2i−2i−33−33-220−2i2i00−33-11−ii−iii3−i3i3−i30000001-13−3i−i−i3i30000000000
χ452-2-22-1002-21-11−2i2i−2i2i3−33−32-20−2i2i003−3-11i−ii−ii3−i3i3−i3000000-113−3i−ii3−i30000000000
χ462-2-22-1002-21-11−2i2i−2i2i3−33−3-2202i−2i003−3-11i−ii−ii3−i3i3−i30000001-1−33−ii−i3i30000000000
χ472-2-22-1002-21-11−2i2i−2i2i−33−332-20−2i2i00−33-11i−ii−i−i3i3−i3i3000000-11−33i−i−i3i30000000000
χ482-2-22-1002-21-11−2i2i−2i2i−33−33-2202i−2i00−33-11i−ii−i−i3i3−i3i30000001-13−3−iii3−i30000000000
χ494444-244-4-4-2-2-20000-2-2-2-200-40000222200000000000000000000000000000000
χ504444-2-4-4-4-4-2-2-2000022220040000-2-22200000000000000000000000000000000
χ5144-4-440000-4-4422−22−222200000000000000022−22−22220000000000000000000000000000
χ5244-4-440000-4-44−222222−22000000000000000−222222−220000000000000000000000000000
χ5344-4-4-2000022-222−22−222223−23−232300000000000−222−2−666−6000000000000000000000000
χ5444-4-4-2000022-222−22−2222−232323−2300000000000−222−26−6−66000000000000000000000000
χ5544-4-4-2000022-2−222222−2223−23−2323000000000002−2−226−6−66000000000000000000000000
χ5644-4-4-2000022-2−222222−22−232323−23000000000002−2−22−666−6000000000000000000000000
χ574-44-4-24-400-222−2i2−2i22i22i2-2-22200000−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ584-44-4-24-400-2222i22i2−2i2−2i2-2-222000002i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ594-44-4-2-4400-222−2i2−2i22i22i222-2-2000002i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ604-44-4-2-4400-2222i22i2−2i2−2i222-2-200000−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
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).