Finite Group Databasebeta

← Group #69629

Character table — Group #69629

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
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
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
χ192222-2-2-2-2222-2-222-22-2-2-2000022-2-200000000000000000000000000002-200
χ202222-2-2-2-2222-2-222-22-2-2-2000022-2-20000000000000000000000000000-2200
χ212222-2-2-2-22-2-22222-22-2-2-20000-2-2220000000000000000000000000000002i−2i
χ222222-2-2-2-22-2-22222-22-2-2-20000-2-222000000000000000000000000000000−2i2i
χ2322-2-222-2-2200002-2-2-222-2002i−2i000000002i2i−2i−2i00000000000022−2−2−i2−i2i2i20000
χ2422-2-222-2-2200002-2-2-222-2002i−2i000000002i2i−2i−2i000000000000−2−222i2i2−i2−i20000
χ2522-2-222-2-2200002-2-2-222-200−2i2i00000000−2i−2i2i2i00000000000022−2−2i2i2−i2−i20000
χ2622-2-222-2-2200002-2-2-222-200−2i2i00000000−2i−2i2i2i000000000000−2−222−i2−i2i2i20000
χ272-22-22-2-2220000-222-22-2-22-200000022-2-20000000000000000−i2i2−i2i2−i2i2−i2i20000
χ282-22-22-2-2220000-222-22-2-22-200000022-2-20000000000000000i2−i2i2−i2i2−i2i2−i20000
χ292-22-22-2-2220000-222-22-2-2-22000000-2-2220000000000000000−i2i2−i2i2i2−i2i2−i20000
χ302-22-22-2-2220000-222-22-2-2-22000000-2-2220000000000000000i2−i2i2−i2−i2i2−i2i20000
χ312-2-222-22-222-22-2-2-2-222-2200002-22-2000000000000000000002i−2i−2i2i00000000
χ322-2-222-22-222-22-2-2-2-222-2200002-22-200000000000000000000−2i2i2i−2i00000000
χ332-2-222-22-22-22-22-2-2-222-220000-22-220000000000000000000000002-2-220000
χ342-2-222-22-22-22-22-2-2-222-220000-22-22000000000000000000000000-222-20000
χ352-2-22-22-2222-2-22-2-222-22-200002-2-22000000002-2002-22-20000000000000000
χ362-2-22-22-2222-2-22-2-222-22-200002-2-2200000000-2200-22-220000000000000000
χ372-2-22-22-222-222-2-2-222-22-20000-222-200000000002i−2i00002i−2i2i−2i000000000000
χ382-2-22-22-222-222-2-2-222-22-20000-222-20000000000−2i2i0000−2i2i−2i2i000000000000
χ392-2-22-22-22-12-2-2211-1-11-110000-111-13−33−33−33−32-200-11-113−3−33000000000000
χ402-2-22-22-22-12-2-2211-1-11-110000-111-13−33−33−33−3-22001-11-1−333−3000000000000
χ412-2-22-22-22-12-2-2211-1-11-110000-111-1−33−33−33−332-200-11-11−333−3000000000000
χ422-2-22-22-22-12-2-2211-1-11-110000-111-1−33−33−33−33-22001-11-13−3−33000000000000
χ432-2-22-22-22-1-222-211-1-11-1100001-1-113−33−3−33−33002i−2i−i3i3i3−i3−ii−ii000000000000
χ442-2-22-22-22-1-222-211-1-11-1100001-1-113−33−3−33−3300−2i2ii3−i3−i3i3i−ii−i000000000000
χ452-2-22-22-22-1-222-211-1-11-1100001-1-11−33−333−33−3002i−2ii3−i3−i3i3−ii−ii000000000000
χ462-2-22-22-22-1-222-211-1-11-1100001-1-11−33−333−33−300−2i2i−i3i3i3−i3i−ii−i000000000000
χ474444-4-4-4-4-244-4-4-2-22-22220000-2-22200000000000000000000000000000000
χ484444-4-4-4-4-2-4-444-2-22-2222000022-2-200000000000000000000000000000000
χ4944-4-444-4-4-20000-2222-2-22004i−4i00000000−2i−2i2i2i000000000000000000000000
χ5044-4-444-4-4-20000-2222-2-2200−4i4i000000002i2i−2i−2i000000000000000000000000
χ5144-4-4-4-444400004-44-4-4-440000000000000000000000000000000000000000
χ5244-4-4-4-444-20000-22-2222-20000000023−23−23230000000000000000000000000000
χ5344-4-4-4-444-20000-22-2222-200000000−232323−230000000000000000000000000000
χ544-44-44-4-44-200002-2-22-2224-4000000-2-2220000000000000000000000000000
χ554-44-44-4-44-200002-2-22-222-4400000022-2-20000000000000000000000000000
χ564-44-4-444-440000-44-4-4-4440000000000000000000000000000000000000000
χ574-44-4-444-4-200002-2222-2-2000000000000−2i32i32i3−2i3000000000000000000000000
χ584-44-4-444-4-200002-2222-2-20000000000002i3−2i3−2i32i3000000000000000000000000
χ594-4-444-44-4-24-44-4222-2-22-20000-22-2200000000000000000000000000000000
χ604-4-444-44-4-2-44-44222-2-22-200002-22-200000000000000000000000000000000

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