Finite Group Databasebeta

← Group #68845

Character table — Group #68845

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
χ152222-2-2-2-2222-2-22-2-2-222-2000022-2-200000000002-2000022-2-2000000000000
χ162222-2-2-2-2222-2-22-2-2-222-2000022-2-20000000000-220000-2-222000000000000
χ172222-2-2-2-22-2-2222-2-2-222-20000-2-2220000000000000000000000000000002i−2i
χ182222-2-2-2-22-2-2222-2-2-222-20000-2-222000000000000000000000000000000−2i2i
χ192222-2-2-2-2-122-2-2-1111-1-110000-1-1113333−3−3−3−3002-233−3−3-1-111000000000000
χ202222-2-2-2-2-122-2-2-1111-1-110000-1-1113333−3−3−3−300-22−3−33311-1-1000000000000
χ212222-2-2-2-2-122-2-2-1111-1-110000-1-111−3−3−3−33333002-2−3−333-1-111000000000000
χ222222-2-2-2-2-122-2-2-1111-1-110000-1-111−3−3−3−3333300-2233−3−311-1-1000000000000
χ2322-2-22-2-222000022-2-2-2-22−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i20000000000002i−2i0022−2−20000
χ2422-2-22-2-222000022-2-2-2-22−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i2000000000000−2i2i00−2−2220000
χ2522-2-22-2-222000022-2-2-2-22i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i20000000000002i−2i00−2−2220000
χ2622-2-22-2-222000022-2-2-2-22i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000−2i2i0022−2−20000
χ272-22-22-22-222-22-2-2-22-22-2200002-2-220000000000000000000000002i−2i2i−2i0000
χ282-22-22-22-222-22-2-2-22-22-2200002-2-22000000000000000000000000−2i2i−2i2i0000
χ292-22-22-22-22-22-22-2-22-22-222i−2i2i−2i-222-22i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ302-22-22-22-22-22-22-2-22-22-22−2i2i−2i2i-222-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ312-22-22-22-2-1-22-2211-11-11-12i−2i2i−2i1-1-11−ii−ii−ii−ii0000−i3i3−i3i33−33−3000000000000
χ322-22-22-22-2-1-22-2211-11-11-12i−2i2i−2i1-1-11−ii−ii−ii−ii0000i3−i3i3−i3−33−33000000000000
χ332-22-22-22-2-1-22-2211-11-11-1−2i2i−2i2i1-1-11i−ii−ii−ii−i0000−i3i3−i3i3−33−33000000000000
χ342-22-22-22-2-1-22-2211-11-11-1−2i2i−2i2i1-1-11i−ii−ii−ii−i0000i3−i3i3−i33−33−3000000000000
χ352-22-2-22-2222-2-22-22-222-2-200002-22-200000000000000000000000000002i−2i00
χ362-22-2-22-2222-2-22-22-222-2-200002-22-20000000000000000000000000000−2i2i00
χ372-22-2-22-222-222-2-22-222-2-20000-22-22000000002i−2i002i−2i−2i2i0000000000000000
χ382-22-2-22-222-222-2-22-222-2-20000-22-2200000000−2i2i00−2i2i2i−2i0000000000000000
χ392-22-2-22-22-1-222-21-11-1-11100001-11-1−i3i3−i3i3i3−i3i3−i32i−2i00−iii−i−333−3000000000000
χ402-22-2-22-22-1-222-21-11-1-11100001-11-1−i3i3−i3i3i3−i3i3−i3−2i2i00i−i−ii3−3−33000000000000
χ412-22-2-22-22-1-222-21-11-1-11100001-11-1i3−i3i3−i3−i3i3−i3i32i−2i00−iii−i3−3−33000000000000
χ422-22-2-22-22-1-222-21-11-1-11100001-11-1i3−i3i3−i3−i3i3−i3i3−2i2i00i−i−ii−333−3000000000000
χ432-2-2222-2-220000-2-2-22-2222−2−2200002−2−222−2−22000000000000002i−2i−i2i2i2−i20000
χ442-2-2222-2-220000-2-2-22-2222−2−2200002−2−222−2−2200000000000000−2i2ii2−i2−i2i20000
χ452-2-2222-2-220000-2-2-22-222−222−20000−222−2−222−2000000000000002i−2ii2−i2−i2i20000
χ462-2-2222-2-220000-2-2-22-222−222−20000−222−2−222−200000000000000−2i2i−i2i2i2−i20000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ484444-4-4-4-4-2-4-444-2222-2-22000022-2-200000000000000000000000000000000
χ4944-4-44-4-44-20000-2-22222-2−2i2−2i22i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ5044-4-44-4-44-20000-2-22222-22i22i2−2i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ5144-4-4-444-4400004-444-4-4-40000000000000000000000000000000000000000
χ5244-4-4-444-4-20000-22-2-222200000000i6i6−i6−i6−i6−i6i6i6000000000000000000000000
χ5344-4-4-444-4-20000-22-2-222200000000−i6−i6i6i6i6i6−i6−i6000000000000000000000000
χ544-44-44-44-4-24-44-422-22-22-20000-222-200000000000000000000000000000000
χ554-44-4-44-44-24-4-442-22-2-2220000-22-2200000000000000000000000000000000
χ564-4-4444-4-4-20000222-22-2-222−22−22220000−222−2−222−2000000000000000000000000
χ574-4-4444-4-4-20000222-22-2-2−222222−2200002−2−222−2−22000000000000000000000000
χ584-4-44-4-44440000-444-4-44-40000000000000000000000000000000000000000
χ594-4-44-4-444-200002-2-222-22000000006−6−66−666−6000000000000000000000000
χ604-4-44-4-444-200002-2-222-2200000000−666−66−6−66000000000000000000000000

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