Finite Group Databasebeta

← Group #69640

Character table — Group #69640

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order1222222234444666666644441212121212121212121212122244666612121212888888884444
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
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-2-2-2-2222222222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ10222222222-2-2-2-22222222-2-222-2-2-2-2-2-2-2-22222000000000000000000000000
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
χ1322222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ1422222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ1522222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3000000000000
χ1622222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3000000000000
χ1722222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000
χ1822222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000
χ1922-22-2-22-2200002-2-22-2-22002-20000000022-2-2000000000000−i2−i2i2i2−i2−i2i2i20000
χ2022-22-2-22-2200002-2-22-2-22002-20000000022-2-2000000000000i2i2−i2−i2i2i2−i2−i20000
χ2122-22-2-22-2200002-2-22-2-2200-2200000000-2-222000000000000−i2−i2i2i2i2i2−i2−i20000
χ2222-22-2-22-2200002-2-22-2-2200-2200000000-2-222000000000000i2i2−i2−i2−i2−i2i2i20000
χ2322-2-22-2-22222-2-222-2-22-2-2000022-2-200000000002i−2i00002i−2i2i−2i000000000000
χ2422-2-22-2-22222-2-222-2-22-2-2000022-2-20000000000−2i2i0000−2i2i−2i2i000000000000
χ2522-2-22-2-222-2-22222-2-22-2-20000-2-222000000002-2002-22-20000000000000000
χ2622-2-22-2-222-2-22222-2-22-2-20000-2-22200000000-2200-22-220000000000000000
χ2722-2-22-2-22-122-2-2-1-111-1110000-1-11133−3−33−33−3002i−2i−i3i3i3−i3−ii−ii000000000000
χ2822-2-22-2-22-122-2-2-1-111-1110000-1-11133−3−33−33−300−2i2ii3−i3−i3i3i−ii−i000000000000
χ2922-2-22-2-22-122-2-2-1-111-1110000-1-111−3−333−33−33002i−2ii3−i3−i3i3−ii−ii000000000000
χ3022-2-22-2-22-122-2-2-1-111-1110000-1-111−3−333−33−3300−2i2i−i3i3i3−i3i−ii−i000000000000
χ3122-2-22-2-22-1-2-222-1-111-111000011-1-133−3−3−33−332-200-11-113−3−33000000000000
χ3222-2-22-2-22-1-2-222-1-111-111000011-1-133−3−3−33−33-22001-11-1−333−3000000000000
χ3322-2-22-2-22-1-2-222-1-111-111000011-1-1−3−3333−33−32-200-11-11−333−3000000000000
χ3422-2-22-2-22-1-2-222-1-111-111000011-1-1−3−3333−33−3-22001-11-13−3−33000000000000
χ352-22-22-22-222-22-2-2-22-22-2200002-22-20000000000000000000000002i−2i2i−2i0000
χ362-22-22-22-222-22-2-2-22-22-2200002-22-2000000000000000000000000−2i2i−2i2i0000
χ372-22-22-22-22-22-22-2-22-22-220000-22-22000000000000000000002i−2i2i−2i00000000
χ382-22-22-22-22-22-22-2-22-22-220000-22-2200000000000000000000−2i2i−2i2i00000000
χ392-2-2222-2-222-2-22-2-2-2222-200002-2-2200000000000000000000000000002i−2i00
χ402-2-2222-2-222-2-22-2-2-2222-200002-2-220000000000000000000000000000−2i2i00
χ412-2-2222-2-22-222-2-2-2-2222-20000-222-20000000000000000000000000000002i−2i
χ422-2-2222-2-22-222-2-2-2-2222-20000-222-2000000000000000000000000000000−2i2i
χ432-2-2-2-222220000-22-2-2-2222-20000002-22-200000000000000002−2−222−2−220000
χ442-2-2-2-222220000-22-2-2-2222-20000002-22-20000000000000000−222−2−222−20000
χ452-2-2-2-222220000-22-2-2-222-22000000-22-2200000000000000002−2−22−222−20000
χ462-2-2-2-222220000-22-2-2-222-22000000-22-220000000000000000−222−22−2−220000
χ47444-4-44-4-4400004-44-4-44-40000000000000000000000000000000000000000
χ48444-4-44-4-4-20000-22-222-2200000000000023−23−2323000000000000000000000000
χ49444-4-44-4-4-20000-22-222-22000000000000−232323−23000000000000000000000000
χ5044-44-4-44-4-20000-222-222-2004-400000000-2-222000000000000000000000000
χ5144-44-4-44-4-20000-222-222-200-440000000022-2-2000000000000000000000000
χ524-444-4-4-4440000-4444-4-4-40000000000000000000000000000000000000000
χ534-444-4-4-44-200002-2-2-22220000000023−23−23230000000000000000000000000000
χ544-444-4-4-44-200002-2-2-222200000000−232323−230000000000000000000000000000
χ554-44-44-44-4-24-44-422-22-22-20000-22-2200000000000000000000000000000000
χ564-44-44-44-4-2-44-4422-22-22-200002-22-200000000000000000000000000000000
χ574-4-4444-4-4-24-4-44222-2-2-220000-222-200000000000000000000000000000000
χ584-4-4444-4-4-2-444-4222-2-2-2200002-2-2200000000000000000000000000000000
χ594-4-4-4-4444-200002-2222-2-24-4000000-22-220000000000000000000000000000
χ604-4-4-4-4444-200002-2222-2-2-440000002-22-20000000000000000000000000000

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