Finite Group Databasebeta

← Group #79608

Character table — Group #79608

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222222222244444444444444444446666888888888812121212121224242424
order12223444466688881212121222444881212121224242424242424242222246666121212124488882244
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
χ5111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-111-1-1-1-111-1-1
χ6111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-111
χ7111111111111-1-1-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111111-1-1
χ911111-1-1111111111-1-1-1-111-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1111-111-1-11-11-1
χ1011111-1-1111111111-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-11-1-111-11-11
χ1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-11-111-1-1-11-11
χ1211111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-11-1-1111-11-1
χ1311111-1-111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1111111-1-11-11111-1-1-1-11-1-1-1111-1-11
χ1411111-1-111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1111-11111-1-1-1-1-1111-1-1-111-1
χ1511111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-11-1-1-1-111111-1-1-111-111-1
χ1611111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-11-1-1-1-11111-1111-1-11-1-11
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
χ232222-12222-1-1-1-2-2-2-2-1-1-1-1222-2-2-2-2-1-1-1-1111111110000-22-1-111-1-1110000000000
χ242222-12222-1-1-1-2-2-2-2-1-1-1-1-2-2222-2-2-1-1-1-11111111100002-211-1-111-1-10000000000
χ252222-1-2-222-1-1-12222111122-222-2-211-1-1-1-1-1-111110000-2-2-1-11111-1-10000000000
χ262222-1-2-222-1-1-122221111-2-2-2-2-2-2-211-1-1-1-1-1-1111100002211-1-1-1-1110000000000
χ272222-1-2-222-1-1-1-2-2-2-2111122-2-2-22211-1-11111-1-1-1-100002-2-1-1-1-111110000000000
χ282222-1-2-222-1-1-1-2-2-2-21111-2-2-2222211-1-11111-1-1-1-10000-221111-1-1-1-10000000000
χ292-22-22002-22-2-22i2i−2i−2i00002-202i−2i00002-22i2i−2i−2i00000000002-200002i−2i0000000000
χ302-22-22002-22-2-22i2i−2i−2i0000-220−2i2i00002-22i2i−2i−2i0000000000-220000−2i2i0000000000
χ312-22-22002-22-2-2−2i−2i2i2i00002-20−2i2i00002-2−2i−2i2i2i00000000002-20000−2i2i0000000000
χ322-22-22002-22-2-2−2i−2i2i2i0000-2202i−2i00002-2−2i−2i2i2i0000000000-2200002i−2i0000000000
χ332-22-2-1002-2-1112i2i−2i−2i33−3−32-202i−2i003−3-11−i−iii−i3−i3i3i3000000-11−i3i33−3−ii0000000000
χ342-22-2-1002-2-1112i2i−2i−2i33−3−3-220−2i2i003−3-11−i−iii−i3−i3i3i30000001-1i3−i3−33i−i0000000000
χ352-22-2-1002-2-1112i2i−2i−2i−3−3332-202i−2i00−33-11−i−iiii3i3−i3−i3000000-11i3−i3−33−ii0000000000
χ362-22-2-1002-2-1112i2i−2i−2i−3−333-220−2i2i00−33-11−i−iiii3i3−i3−i30000001-1−i3i33−3i−i0000000000
χ372-22-2-1002-2-111−2i−2i2i2i33−3−32-20−2i2i003−3-11ii−i−ii3i3−i3−i3000000-11i3−i33−3i−i0000000000
χ382-22-2-1002-2-111−2i−2i2i2i33−3−3-2202i−2i003−3-11ii−i−ii3i3−i3−i30000001-1−i3i3−33−ii0000000000
χ392-22-2-1002-2-111−2i−2i2i2i−3−3332-20−2i2i00−33-11ii−i−i−i3−i3i3i3000000-11−i3i3−33i−i0000000000
χ402-22-2-1002-2-111−2i−2i2i2i−3−333-2202i−2i00−33-11ii−i−i−i3−i3i3i30000001-1i3−i33−3−ii0000000000
χ412-2-2222-200-2-222−22−22-22-2000002−200002−22−22−22−22-22-20000000000002−22−20000
χ422-2-2222-200-2-222−22−22-22-2000002−200002−22−22−22−2-22-22000000000000−22−220000
χ432-2-2222-200-2-22−22−222-22-200000−220000−22−22−22−222-22-2000000000000−22−220000
χ442-2-2222-200-2-22−22−222-22-200000−220000−22−22−22−22-22-220000000000002−22−20000
χ452-2-222-2200-2-222−22−2-22-2200000−2200002−22−2−22−222-2-220000000000002−2−220000
χ462-2-222-2200-2-222−22−2-22-2200000−2200002−22−2−22−22-222-2000000000000−222−20000
χ472-2-222-2200-2-22−22−22-22-22000002−20000−22−222−22−22-2-22000000000000−222−20000
χ482-2-222-2200-2-22−22−22-22-22000002−20000−22−222−22−2-222-20000000000002−2−220000
χ494444-244-4-4-2-2-20000-2-2-2-200-40000222200000000000000000000000000000000
χ504444-2-4-4-4-4-2-2-2000022220040000-2-22200000000000000000000000000000000
χ5144-4-440000-44-4−2i22i22i2−2i2000000000000000−2i22i22i2−2i20000000000000000000000000000
χ5244-4-440000-44-42i2−2i2−2i22i20000000000000002i2−2i2−2i22i20000000000000000000000000000
χ5344-4-4-200002-22−2i22i22i2−2i223−23−232300000000000i2−i2−i2i2i6−i6−i6i6000000000000000000000000
χ5444-4-4-200002-22−2i22i22i2−2i2−232323−2300000000000i2−i2−i2i2−i6i6i6−i6000000000000000000000000
χ5544-4-4-200002-222i2−2i2−2i22i223−23−232300000000000−i2i2i2−i2−i6i6i6−i6000000000000000000000000
χ5644-4-4-200002-222i2−2i2−2i22i2−232323−2300000000000−i2i2i2−i2i6−i6−i6i6000000000000000000000000
χ574-44-4400-444-4-400000000000000000-4400000000000000000000000000000000
χ584-44-4-200-44-22200002323−23−230000000−23232-200000000000000000000000000000000
χ594-44-4-200-44-2220000−23−232323000000023−232-200000000000000000000000000000000
χ604-4-44-24-40022-222−2222−22-22-220000022−220000−22−22−22−22000000000000000000000000
χ614-4-44-24-40022-2−2222−2222-22-2200000−222200002−22−22−22−2000000000000000000000000
χ624-4-44-2-440022-222−2222−222-22-200000−22220000−22−222−22−2000000000000000000000000
χ634-4-44-2-440022-2−2222−22222-22-20000022−2200002−22−2−22−22000000000000000000000000

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