Finite Group Databasebeta

← Group #69624

Character table — Group #69624

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666444412121212121212121212121244441212121212121212888888884444
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
χ9222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
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
χ1322222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ1422222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ1522222222-1-2-2-2-2-1-1-1-1-1-1-122-2-211111111-1-1-1-10000−i3−i3i3i3−i3−i3i3i3000000000000
χ1622222222-1-2-2-2-2-1-1-1-1-1-1-122-2-211111111-1-1-1-10000i3i3−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
χ1922-222-2-2-2222-2-22-2-22-22-2000022-2-2000000002-2002-22-20000000000000000
χ2022-222-2-2-2222-2-22-2-22-22-2000022-2-200000000-2200-22-220000000000000000
χ2122-222-2-2-22-2-2222-2-22-22-20000-2-22200000000002i−2i00002i−2i2i−2i000000000000
χ2222-222-2-2-22-2-2222-2-22-22-20000-2-2220000000000−2i2i0000−2i2i−2i2i000000000000
χ2322-222-2-2-2-122-2-2-111-11-110000-1-11133−3−333−3−32-200-11-113−3−33000000000000
χ2422-222-2-2-2-122-2-2-111-11-110000-1-11133−3−333−3−3-22001-11-1−333−3000000000000
χ2522-222-2-2-2-122-2-2-111-11-110000-1-111−3−333−3−3332-200-11-11−333−3000000000000
χ2622-222-2-2-2-122-2-2-111-11-110000-1-111−3−333−3−333-22001-11-13−3−33000000000000
χ2722-222-2-2-2-1-2-222-111-11-11000011-1-133−3−3−3−333002i−2ii3−i3−i3i3−ii−ii000000000000
χ2822-222-2-2-2-1-2-222-111-11-11000011-1-133−3−3−3−33300−2i2i−i3i3i3−i3i−ii−i000000000000
χ2922-222-2-2-2-1-2-222-111-11-11000011-1-1−3−33333−3−3002i−2i−i3i3i3−i3−ii−ii000000000000
χ3022-222-2-2-2-1-2-222-111-11-11000011-1-1−3−33333−3−300−2i2ii3−i3−i3i3i−ii−i000000000000
χ3122-2-2-222-22000022-2-2-2-22002i−2i00002i−2i2i−2i0000000000000000−i2−i2i2i222−2−20000
χ3222-2-2-222-22000022-2-2-2-22002i−2i00002i−2i2i−2i0000000000000000i2i2−i2−i2−2−2220000
χ3322-2-2-222-22000022-2-2-2-2200−2i2i0000−2i2i−2i2i0000000000000000−i2−i2i2i2−2−2220000
χ3422-2-2-222-22000022-2-2-2-2200−2i2i0000−2i2i−2i2i0000000000000000i2i2−i2−i222−2−20000
χ352-222-2-22-222-22-2-2222-2-2-200002-22-200000000000000000000000000002-200
χ362-222-2-22-222-22-2-2222-2-2-200002-22-20000000000000000000000000000-2200
χ372-222-2-22-22-22-22-2222-2-2-20000-22-220000000000000000000000000000002i−2i
χ382-222-2-22-22-22-22-2222-2-2-20000-22-22000000000000000000000000000000−2i2i
χ392-22-222-2-220000-2-22-2-2222-200000000002-22-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ402-22-222-2-220000-2-22-2-2222-200000000002-22-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ412-22-222-2-220000-2-22-2-222-220000000000-22-22000000000000−i2i2−i2i2i2−i2i2−i20000
χ422-22-222-2-220000-2-22-2-222-220000000000-22-22000000000000i2−i2i2−i2−i2i2−i2i20000
χ432-2-22-22-2222-2-22-2-2-222-2200002-2-22000000000000000000002-2-2200000000
χ442-2-22-22-2222-2-22-2-2-222-2200002-2-2200000000000000000000-222-200000000
χ452-2-22-22-222-222-2-2-2-222-220000-222-20000000000000000000000002i−2i−2i2i0000
χ462-2-22-22-222-222-2-2-2-222-220000-222-2000000000000000000000000−2i2i2i−2i0000
χ47444-4-4-4-44400004-44-44-4-40000000000000000000000000000000000000000
χ48444-4-4-4-44-20000-22-22-22200000000−2i32i32i3−2i30000000000000000000000000000
χ49444-4-4-4-44-20000-22-22-222000000002i3−2i3−2i32i30000000000000000000000000000
χ5044-4-4-444-4-20000-2-22222-2004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ5144-4-4-444-4-20000-2-22222-200−4i4i00002i−2i2i−2i0000000000000000000000000000
χ524-444-4-44-4-24-44-42-2-2-22220000-22-2200000000000000000000000000000000
χ534-444-4-44-4-2-44-442-2-2-222200002-22-200000000000000000000000000000000
χ544-44-444-4-4-2000022-222-2-24-40000000000-22-22000000000000000000000000
χ554-44-444-4-4-2000022-222-2-2-4400000000002-22-2000000000000000000000000
χ564-4-44-44-44-24-4-44222-2-22-20000-222-200000000000000000000000000000000
χ574-4-44-44-44-2-444-4222-2-22-200002-2-2200000000000000000000000000000000
χ584-4-4-44-44440000-44-4-444-40000000000000000000000000000000000000000
χ594-4-4-44-444-200002-222-2-2200000000000023−23−2323000000000000000000000000
χ604-4-4-44-444-200002-222-2-22000000000000−232323−23000000000000000000000000

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