Finite Group Databasebeta

← Group #79741

Character table — Group #79741

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222222222244444444444444444446666888888888812121212121224242424
order122234444666888812121212444448812121212242424242424242422444412121212121212122488884444
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
χ911111-1-1111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1111-1-1-1-111
χ1011111-1-1111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11-1-1-11111-1-1
χ1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1111-1-111-1-1
χ1211111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111-1-1-111-1-111
χ1311111-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1111-1-1-1-111-11-1-111-111-1
χ1411111-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1111-1-1-1-1111-111-1-11-1-11
χ1511111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11-1-1-11111-1-1-11-1-1111-1-11
χ1611111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-1-11111-1-11-111-1-1-111-1
χ172222222-2-222200002222-2000000-2-2-2-20000000022220000000000-2-200000000
χ182222222-2-222200002222-2000000-2-2-2-200000000-2-2-2-200000000002200000000
χ1922222-2-2-2-22220000-2-2-2-2200000022-2-20000000022-2-200000000002-200000000
χ2022222-2-2-2-22220000-2-2-2-2200000022-2-200000000-2-2220000000000-2200000000
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
χ252222-1-2-222-1-1-122221111-22222-2-211-1-1-1-1-1-111110000-2-2-1-111-1-1110000000000
χ262222-1-2-222-1-1-122221111-2-2-2-2-2-2-211-1-1-1-1-1-1111100002211-1-111-1-10000000000
χ272222-1-2-222-1-1-1-2-2-2-21111-222-2-22211-1-11111-1-1-1-10000-22-1-11111-1-10000000000
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
χ2922-2-2200-22-22-222-2-2000002i−2i2i−2i00002-222-2-200000000002i−2i002i−2i000000000000
χ3022-2-2200-22-22-222-2-200000−2i2i−2i2i00002-222-2-20000000000−2i2i00−2i2i000000000000
χ3122-2-2200-22-22-2-2-222000002i−2i−2i2i00002-2-2-22200000000002i−2i00−2i2i000000000000
χ3222-2-2200-22-22-2-2-22200000−2i2i2i−2i00002-2-2-2220000000000−2i2i002i−2i000000000000
χ3322-2-2-100-221-1122-2-233−3−302i−2i2i−2i003−3-11-1-11133−3−3000000−ii−i3i3−ii−i3i30000000000
χ3422-2-2-100-221-1122-2-233−3−30−2i2i−2i2i003−3-11-1-11133−3−3000000i−ii3−i3i−ii3−i30000000000
χ3522-2-2-100-221-1122-2-2−3−33302i−2i2i−2i00−33-11-1-111−3−333000000−iii3−i3−iii3−i30000000000
χ3622-2-2-100-221-1122-2-2−3−3330−2i2i−2i2i00−33-11-1-111−3−333000000i−i−i3i3i−i−i3i30000000000
χ3722-2-2-100-221-11-2-22233−3−302i−2i−2i2i003−3-1111-1-1−3−333000000−ii−i3i3i−ii3−i30000000000
χ3822-2-2-100-221-11-2-22233−3−30−2i2i2i−2i003−3-1111-1-1−3−333000000i−ii3−i3−ii−i3i30000000000
χ3922-2-2-100-221-11-2-222−3−33302i−2i−2i2i00−33-1111-1-133−3−3000000−iii3−i3i−i−i3i30000000000
χ4022-2-2-100-221-11-2-222−3−3330−2i2i2i−2i00−33-1111-1-133−3−3000000i−i−i3i3−iii3−i30000000000
χ412-2-2222i−2i00-2-222−22−22i−2i2i−2i00000−i2i200002−22−2−i2i2−i2i22-22i−2i0000000000002−2−i2i20000
χ422-2-2222i−2i00-2-222−22−22i−2i2i−2i00000−i2i200002−22−2−i2i2−i2i2-22−2i2i000000000000−22i2−i20000
χ432-2-2222i−2i00-2-22−22−222i−2i2i−2i00000i2−i20000−22−22i2−i2i2−i22-22i−2i000000000000−22i2−i20000
χ442-2-2222i−2i00-2-22−22−222i−2i2i−2i00000i2−i20000−22−22i2−i2i2−i2-22−2i2i0000000000002−2−i2i20000
χ452-2-222−2i2i00-2-222−22−2−2i2i−2i2i00000i2−i200002−22−2i2−i2i2−i22-2−2i2i0000000000002−2i2−i20000
χ462-2-222−2i2i00-2-222−22−2−2i2i−2i2i00000i2−i200002−22−2i2−i2i2−i2-222i−2i000000000000−22−i2i20000
χ472-2-222−2i2i00-2-22−22−22−2i2i−2i2i00000−i2i20000−22−22−i2i2−i2i22-2−2i2i000000000000−22−i2i20000
χ482-2-222−2i2i00-2-22−22−22−2i2i−2i2i00000−i2i20000−22−22−i2i2−i2i2-222i−2i0000000000002−2i2−i20000
χ494444-244-4-4-2-2-20000-2-2-2-2-4000000222200000000000000000000000000000000
χ504444-2-4-4-4-4-2-2-2000022224000000-2-22200000000000000000000000000000000
χ5144-4-44004-4-44-400000000000000000-4400000000000000000000000000000000
χ5244-4-4-2004-42-2200002323−23−230000000−23232-200000000000000000000000000000000
χ5344-4-4-2004-42-220000−23−232323000000023−232-200000000000000000000000000000000
χ544-44-4400004-4-422−22−222200000000000000022−22−22220000000000000000000000000000
χ554-44-4400004-4-4−222222−22000000000000000−222222−220000000000000000000000000000
χ564-44-4-20000-22222−22−2222−2i32i32i3−2i300000000000−222−2i6−i6−i6i6000000000000000000000000
χ574-44-4-20000-22222−22−22222i3−2i3−2i32i300000000000−222−2−i6i6i6−i6000000000000000000000000
χ584-44-4-20000-222−222222−22−2i32i32i3−2i3000000000002−2−22−i6i6i6−i6000000000000000000000000
χ594-44-4-20000-222−222222−222i3−2i3−2i32i3000000000002−2−22i6−i6−i6i6000000000000000000000000
χ604-4-44-24i−4i0022-222−2222−22−2i2i−2i2i00000−2i22i20000−22−22i2−i2i2−i2000000000000000000000000
χ614-4-44-24i−4i0022-2−2222−2222−2i2i−2i2i000002i2−2i200002−22−2−i2i2−i2i2000000000000000000000000
χ624-4-44-2−4i4i0022-222−2222−222i−2i2i−2i000002i2−2i20000−22−22−i2i2−i2i2000000000000000000000000
χ634-4-44-2−4i4i0022-2−2222−22222i−2i2i−2i00000−2i22i200002−22−2i2−i2i2−i2000000000000000000000000

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