Finite Group Databasebeta

← Group #68889

Character table — Group #68889

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666888812121212242424242424242444441212121212121212224488884444
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
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
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
χ15222-2-2-2-222000022-2-2-22-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2000000000000002i−2i22−2−20000
χ16222-2-2-2-222000022-2-2-22-2−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i200000000000000−2i2i−2−2220000
χ17222-2-2-2-222000022-2-2-22-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2000000000000002i−2i−2−2220000
χ18222-2-2-2-222000022-2-2-22-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i200000000000000−2i2i22−2−20000
χ1922-2-222-2-222-22-22-2-2-22-2200002-2-2200000000000000000000000000002i−2i00
χ2022-2-222-2-222-22-22-2-2-22-2200002-2-220000000000000000000000000000−2i2i00
χ2122-2-222-2-22-22-222-2-2-22-220000-222-200000000002i−2i00002i2i−2i−2i000000000000
χ2222-2-222-2-22-22-222-2-2-22-220000-222-20000000000−2i2i0000−2i−2i2i2i000000000000
χ2322-2-222-2-2-1-22-22-1111-11-100001-1-1133−3−333−3−3002i−2i−i3−i3i3i3−i−iii000000000000
χ2422-2-222-2-2-1-22-22-1111-11-100001-1-1133−3−333−3−300−2i2ii3i3−i3−i3ii−i−i000000000000
χ2522-2-222-2-2-1-22-22-1111-11-100001-1-11−3−333−3−333002i−2ii3i3−i3−i3−i−iii000000000000
χ2622-2-222-2-2-1-22-22-1111-11-100001-1-11−3−333−3−33300−2i2i−i3−i3i3i3ii−i−i000000000000
χ272-22-2-222-222-2-22-222-22-2-2000022-2-20000000000000000000000000000002i−2i
χ282-22-2-222-222-2-22-222-22-2-2000022-2-2000000000000000000000000000000−2i2i
χ292-22-2-222-22-222-2-222-22-2-20000-2-222000000002i−2i002i−2i2i−2i0000000000000000
χ302-22-2-222-22-222-2-222-22-2-20000-2-22200000000−2i2i00−2i2i−2i2i0000000000000000
χ312-22-2-222-2-1-222-21-1-11-111000011-1-1−i3i3−i3i3−i3i3−i3i32i−2i00−ii−ii3−33−3000000000000
χ322-22-2-222-2-1-222-21-1-11-111000011-1-1−i3i3−i3i3−i3i3−i3i3−2i2i00i−ii−i−33−33000000000000
χ332-22-2-222-2-1-222-21-1-11-111000011-1-1i3−i3i3−i3i3−i3i3−i32i−2i00−ii−ii−33−33000000000000
χ342-22-2-222-2-1-222-21-1-11-111000011-1-1i3−i3i3−i3i3−i3i3−i3−2i2i00i−ii−i3−33−3000000000000
χ352-2-22-22-22222-2-2-2-2-2222-22i−2i2i−2i2-22-22i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ362-2-22-22-22222-2-2-2-2-2222-2−2i2i−2i2i2-22-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ372-2-22-22-222-2-222-2-2-2222-20000-22-220000000000000000000000002-22-20000
χ382-2-22-22-222-2-222-2-2-2222-20000-22-22000000000000000000000000-22-220000
χ392-2-22-22-22-122-2-2111-1-1-112i−2i2i−2i-11-11−iii−i−iii−i00003−3−33i3−i3−i3i3000000000000
χ402-2-22-22-22-122-2-2111-1-1-112i−2i2i−2i-11-11−iii−i−iii−i0000−333−3−i3i3i3−i3000000000000
χ412-2-22-22-22-122-2-2111-1-1-11−2i2i−2i2i-11-11i−i−iii−i−ii00003−3−33−i3i3i3−i3000000000000
χ422-2-22-22-22-122-2-2111-1-1-11−2i2i−2i2i-11-11i−i−iii−i−ii0000−333−3i3−i3−i3i3000000000000
χ432-2-2-22-22220000-2-22-2-2222−2−2200002−2−22−222−20000000000002-2002−2−220000
χ442-2-2-22-22220000-2-22-2-2222−2−2200002−2−22−222−2000000000000-2200−222−20000
χ452-2-2-22-22220000-2-22-2-222−222−20000−222−22−2−220000000000002-200−222−20000
χ462-2-2-22-22220000-2-22-2-222−222−20000−222−22−2−22000000000000-22002−2−220000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ48444-4-4-4-44-20000-2-2222-22−2i2−2i22i22i20000i2i2i2i2−i2−i2−i2−i2000000000000000000000000
χ49444-4-4-4-44-20000-2-2222-222i22i2−2i2−2i20000−i2−i2−i2−i2i2i2i2i2000000000000000000000000
χ5044-44-4-44-4400004-444-4-4-40000000000000000000000000000000000000000
χ5144-44-4-44-4-20000-22-2-222200000000i6i6−i6−i6−i6−i6i6i6000000000000000000000000
χ5244-44-4-44-4-20000-22-2-222200000000−i6−i6i6i6i6i6−i6−i6000000000000000000000000
χ5344-4-444-4-4-24-44-4-2222-22-20000-222-200000000000000000000000000000000
χ544-4444-4-4-440000-44-44-4-440000000000000000000000000000000000000000
χ554-4444-4-4-4-200002-22-222-2000000006−66−6−66−66000000000000000000000000
χ564-4444-4-4-4-200002-22-222-200000000−66−666−66−6000000000000000000000000
χ574-44-4-444-4-24-4-442-2-22-2220000-2-22200000000000000000000000000000000
χ584-4-44-44-44-2-4-444222-2-2-2200002-22-200000000000000000000000000000000
χ594-4-4-44-444-2000022-222-2-222−22−22220000−222−22−2−22000000000000000000000000
χ604-4-4-44-444-2000022-222-2-2−222222−2200002−2−22−222−2000000000000000000000000

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