Finite Group Databasebeta

← Group #68838

Character table — Group #68838

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666888812121212242424242424242444441212121212121212444488884444
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
χ9222222222-2-2-2-222222220000-2-2-2-20000000000000000000022-2-200000000
χ10222222222-2-2-2-222222220000-2-2-2-200000000000000000000-2-22200000000
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
χ15222-2-2-2-2220000222-2-2-2-222−2−200002222−2−2−2−20000000000002i−2i00−i2−i2i2i20000
χ16222-2-2-2-2220000222-2-2-2-222−2−200002222−2−2−2−2000000000000−2i2i00i2i2−i2−i20000
χ17222-2-2-2-2220000222-2-2-2-2−2−2220000−2−2−2−222220000000000002i−2i00i2i2−i2−i20000
χ18222-2-2-2-2220000222-2-2-2-2−2−2220000−2−2−2−22222000000000000−2i2i00−i2−i2i2i20000
χ1922-222-2-2-2222-2-22-2-2-222-2000022-2-200000000002-2000022-2-2000000000000
χ2022-222-2-2-2222-2-22-2-2-222-2000022-2-20000000000-220000-2-222000000000000
χ2122-222-2-2-22-2-2222-2-2-222-20000-2-2220000000000000000000000000000002i−2i
χ2222-222-2-2-22-2-2222-2-2-222-20000-2-222000000000000000000000000000000−2i2i
χ2322-222-2-2-2-122-2-2-1111-1-110000-1-11133−3−333−3−3002-233−3−3-1-111000000000000
χ2422-222-2-2-2-122-2-2-1111-1-110000-1-11133−3−333−3−300-22−3−33311-1-1000000000000
χ2522-222-2-2-2-122-2-2-1111-1-110000-1-111−3−333−3−333002-2−3−333-1-111000000000000
χ2622-222-2-2-2-122-2-2-1111-1-110000-1-111−3−333−3−33300-2233−3−311-1-1000000000000
χ272-222-22-2-222-22-2-22-2-22-2200002-22-2000000002-2002-22-20000000000000000
χ282-222-22-2-222-22-2-22-2-22-2200002-22-200000000-2200-22-220000000000000000
χ292-222-22-2-22-22-22-22-2-22-220000-22-2200000000000000000000000000002i−2i00
χ302-222-22-2-22-22-22-22-2-22-220000-22-220000000000000000000000000000−2i2i00
χ312-222-22-2-2-12-22-21-111-11-10000-11-113−33−33−33−32-200-11-113−33−3000000000000
χ322-222-22-2-2-12-22-21-111-11-10000-11-113−33−33−33−3-22001-11-1−33−33000000000000
χ332-222-22-2-2-12-22-21-111-11-10000-11-11−33−33−33−332-200-11-11−33−33000000000000
χ342-222-22-2-2-12-22-21-111-11-10000-11-11−33−33−33−33-22001-11-13−33−3000000000000
χ352-2-22-2-22222-2-22-2-2222-2-22-22-22-2-222-2-222-2-22000000000000000000000000
χ362-2-22-2-22222-2-22-2-2222-2-2-22-222-2-22-222-2-222-2000000000000000000000000
χ372-2-22-2-2222-222-2-2-2222-2-20000-222-20000000000000000000000002i−2i2i−2i0000
χ382-2-22-2-2222-222-2-2-2222-2-20000-222-2000000000000000000000000−2i2i−2i2i0000
χ392-2-22-2-222-12-2-2211-1-1-1112-22-2-111-1-111-1-111-100003−3−33−333−3000000000000
χ402-2-22-2-222-12-2-2211-1-1-1112-22-2-111-1-111-1-111-10000−333−33−3−33000000000000
χ412-2-22-2-222-12-2-2211-1-1-111-22-22-111-11-1-111-1-1100003−3−333−3−33000000000000
χ422-2-22-2-222-12-2-2211-1-1-111-22-22-111-11-1-111-1-110000−333−3−333−3000000000000
χ432-2-2-222-2220000-2-22-2-2222−2−2200002−2−22−222−2000000000000002-22−2−220000
χ442-2-2-222-2220000-2-22-2-2222−2−2200002−2−22−222−200000000000000-22−222−20000
χ452-2-2-222-2220000-2-22-2-222−222−20000−222−22−2−22000000000000002-2−222−20000
χ462-2-2-222-2220000-2-22-2-222−222−20000−222−22−2−2200000000000000-222−2−220000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ48444-4-4-4-44-20000-2-2-222222222−22−220000−2−2−2−22222000000000000000000000000
χ49444-4-4-4-44-20000-2-2-22222−22−22222200002222−2−2−2−2000000000000000000000000
χ5044-444-4-4-4-2-4-444-2222-2-22000022-2-200000000000000000000000000000000
χ5144-4-4-444-4400004-4-44-4-440000000000000000000000000000000000000000
χ5244-4-4-444-4-20000-222-222-20000000066−6−6−6−666000000000000000000000000
χ5344-4-4-444-4-20000-222-222-200000000−6−66666−6−6000000000000000000000000
χ544-444-44-4-4-2-44-442-222-22-200002-22-200000000000000000000000000000000
χ554-44-44-44-440000-44-44-44-40000000000000000000000000000000000000000
χ564-44-44-44-4-200002-22-22-22000000006−66−6−66−66000000000000000000000000
χ574-44-44-44-4-200002-22-22-2200000000−66−666−66−6000000000000000000000000
χ584-4-44-4-444-2-444-422-2-2-22200002-2-2200000000000000000000000000000000
χ594-4-4-444-44-2000022-222-2-222−22−22220000−222−22−2−22000000000000000000000000
χ604-4-4-444-44-2000022-222-2-2−222222−2200002−2−22−222−2000000000000000000000000

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