Finite Group Databasebeta

← Group #69680

Character table — Group #69680

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666444412121212121212121212121244441212121212121212888888882244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-2000000000000000000000000
χ10222222222-2-2-2-22222222-2-222-2-2-2-22222-2-2-2-2000000000000000000000000
χ1122222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1222222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ1322222222-12222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-122-2-2-1-1-1-11111000000000000
χ1422222222-12222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-1-2-2221111-1-1-1-1000000000000
χ1522222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-1111111110000−i3−i3i3i3−i3−i3i3i3000000000000
χ1622222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-1111111110000i3i3−i3−i3i3i3−i3−i3000000000000
χ1722222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2221111-1-1-1-111110000−i3−i3i3i3i3i3−i3−i3000000000000
χ1822222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2221111-1-1-1-111110000i3i3−i3−i3−i3−i3i3i3000000000000
χ1922-22-22-2-2200002-2-22-22-2002i−2i00002i2i−2i−2i000000000000000022−2−2−i2−i2i2i20000
χ2022-22-22-2-2200002-2-22-22-2002i−2i00002i2i−2i−2i0000000000000000−2−222i2i2−i2−i20000
χ2122-22-22-2-2200002-2-22-22-200−2i2i0000−2i−2i2i2i000000000000000022−2−2i2i2−i2−i20000
χ2222-22-22-2-2200002-2-22-22-200−2i2i0000−2i−2i2i2i0000000000000000−2−222−i2−i2i2i20000
χ2322-2-2-2-222222-2-222-2-2-2-2200000000000022-2-22i−2i002i−2i2i−2i0000000000000000
χ2422-2-2-2-222222-2-222-2-2-2-2200000000000022-2-2−2i2i00−2i2i−2i2i0000000000000000
χ2522-2-2-2-2222-2-22222-2-2-2-22000000000000-2-222002-200002-22-2000000000000
χ2622-2-2-2-2222-2-22222-2-2-2-22000000000000-2-22200-220000-22-22000000000000
χ2722-2-2-2-222-122-2-2-1-11111-1000033−3−33−33−3-1-1112i−2i00−ii−ii−i3i3i3−i3000000000000
χ2822-2-2-2-222-122-2-2-1-11111-1000033−3−33−33−3-1-111−2i2i00i−ii−ii3−i3−i3i3000000000000
χ2922-2-2-2-222-122-2-2-1-11111-10000−3−333−33−33-1-1112i−2i00−ii−iii3−i3−i3i3000000000000
χ3022-2-2-2-222-122-2-2-1-11111-10000−3−333−33−33-1-111−2i2i00i−ii−i−i3i3i3−i3000000000000
χ3122-2-2-2-222-1-2-222-1-11111-1000033−3−3−33−3311-1-1002-23−3−33-11-11000000000000
χ3222-2-2-2-222-1-2-222-1-11111-1000033−3−3−33−3311-1-100-22−333−31-11-1000000000000
χ3322-2-2-2-222-1-2-222-1-11111-10000−3−3333−33−311-1-1002-2−333−3-11-11000000000000
χ3422-2-2-2-222-1-2-222-1-11111-10000−3−3333−33−311-1-100-223−3−331-11-1000000000000
χ352-222-2-2-2220000-2222-2-2-22-2002-22-200000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ362-222-2-2-2220000-2222-2-2-22-2002-22-200000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ372-222-2-2-2220000-2222-2-2-2-2200-22-2200000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ382-222-2-2-2220000-2222-2-2-2-2200-22-2200000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ392-22-2-222-222-22-2-2-22-2-2220000000000002-22-200000000000000000000002i−2i
χ402-22-2-222-222-22-2-2-22-2-2220000000000002-22-20000000000000000000000−2i2i
χ412-22-2-222-22-22-22-2-22-2-222000000000000-22-22000000000000000000002-200
χ422-22-2-222-22-22-22-2-22-2-222000000000000-22-2200000000000000000000-2200
χ432-2-222-22-222-2-22-2-2-222-220000000000002-2-2200000000000000002-2-220000
χ442-2-222-22-222-2-22-2-2-222-220000000000002-2-220000000000000000-222-20000
χ452-2-222-22-22-222-2-2-2-222-22000000000000-222-20000000000002i−2i−2i2i00000000
χ462-2-222-22-22-222-2-2-2-222-22000000000000-222-2000000000000−2i2i2i−2i00000000
χ47444-44-4-4-4400004-44-44-4-40000000000000000000000000000000000000000
χ48444-44-4-4-4-20000-22-22-22200000000−2i32i32i3−2i30000000000000000000000000000
χ49444-44-4-4-4-20000-22-22-222000000002i3−2i3−2i32i30000000000000000000000000000
χ5044-44-44-4-4-20000-222-22-22004i−4i0000−2i−2i2i2i0000000000000000000000000000
χ5144-44-44-4-4-20000-222-22-2200−4i4i00002i2i−2i−2i0000000000000000000000000000
χ524-444-4-4-44-200002-2-2-22224-400-22-2200000000000000000000000000000000
χ534-444-4-4-44-200002-2-2-2222-44002-22-200000000000000000000000000000000
χ544-44-4-444-4-24-44-422-222-2-2000000000000-22-22000000000000000000000000
χ554-44-4-444-4-2-44-4422-222-2-20000000000002-22-2000000000000000000000000
χ564-4-444-44-4-24-4-44222-2-22-2000000000000-222-2000000000000000000000000
χ574-4-444-44-4-2-444-4222-2-22-20000000000002-2-22000000000000000000000000
χ584-4-4-444-4440000-44-4-444-40000000000000000000000000000000000000000
χ594-4-4-444-44-200002-222-2-22000023−23−232300000000000000000000000000000000
χ604-4-4-444-44-200002-222-2-220000−232323−2300000000000000000000000000000000

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