Finite Group Databasebeta

← Group #68902

Character table — Group #68902

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666888812121212242424242424242444441212121212121212444488882244
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
χ1522-222-2-2-222-22-22-2-2-222-200002-2-220000000000000000000000002i2i−2i−2i0000
χ1622-222-2-2-222-22-22-2-2-222-200002-2-22000000000000000000000000−2i−2i2i2i0000
χ1722-222-2-2-22-22-222-2-2-222-22i2i−2i−2i-222-22i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ1822-222-2-2-22-22-222-2-2-222-2−2i−2i2i2i-222-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ1922-222-2-2-2-1-22-22-1111-1-112i2i−2i−2i1-1-11−i−i−i−iiiii0000−i3−i3i3i333−3−3000000000000
χ2022-222-2-2-2-1-22-22-1111-1-112i2i−2i−2i1-1-11−i−i−i−iiiii0000i3i3−i3−i3−3−333000000000000
χ2122-222-2-2-2-1-22-22-1111-1-11−2i−2i2i2i1-1-11iiii−i−i−i−i0000−i3−i3i3i3−3−333000000000000
χ2222-222-2-2-2-1-22-22-1111-1-11−2i−2i2i2i1-1-11iiii−i−i−i−i0000i3i3−i3−i333−3−3000000000000
χ232-222-2-2-22222-2-2-22-2-22-22000022-2-2000000002i−2i002i−2i2i−2i0000000000000000
χ242-222-2-2-22222-2-2-22-2-22-22000022-2-200000000−2i2i00−2i2i−2i2i0000000000000000
χ252-222-2-2-222-2-222-22-2-22-220000-2-22200000000000000000000000000002-200
χ262-222-2-2-222-2-222-22-2-22-220000-2-2220000000000000000000000000000-2200
χ272-222-2-2-22-122-2-21-111-11-10000-1-11133−3−333−3−32i−2i00−ii−ii−i3i3−i3i3000000000000
χ282-222-2-2-22-122-2-21-111-11-10000-1-11133−3−333−3−3−2i2i00i−ii−ii3−i3i3−i3000000000000
χ292-222-2-2-22-122-2-21-111-11-10000-1-111−3−333−3−3332i−2i00−ii−iii3−i3i3−i3000000000000
χ302-222-2-2-22-122-2-21-111-11-10000-1-111−3−333−3−333−2i2i00i−ii−i−i3i3−i3i3000000000000
χ312-22-222-2-220000-222-2-22-2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2000000000000002-2−i2i2−i2i20000
χ322-22-222-2-220000-222-2-22-2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i200000000000000-22i2−i2i2−i20000
χ332-22-222-2-220000-222-2-22-2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i2000000000000002-2i2−i2i2−i20000
χ342-22-222-2-220000-222-2-22-2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i200000000000000-22−i2i2−i2i20000
χ352-2-22-222-222-2-22-2-2222-2-200002-22-20000000000000000000000000000002i−2i
χ362-2-22-222-222-2-22-2-2222-2-200002-22-2000000000000000000000000000000−2i2i
χ372-2-22-222-22-222-2-2-2222-2-20000-22-2200000000002i−2i00002i−2i−2i2i000000000000
χ382-2-22-222-22-222-2-2-2222-2-20000-22-220000000000−2i2i0000−2i2i2i−2i000000000000
χ392-2-22-222-2-1-222-211-1-1-11100001-11-1−i3−i3i3i3i3i3−i3−i3002i−2i−333−3−iii−i000000000000
χ402-2-22-222-2-1-222-211-1-1-11100001-11-1−i3−i3i3i3i3i3−i3−i300−2i2i3−3−33i−i−ii000000000000
χ412-2-22-222-2-1-222-211-1-1-11100001-11-1i3i3−i3−i3−i3−i3i3i3002i−2i3−3−33−iii−i000000000000
χ422-2-22-222-2-1-222-211-1-1-11100001-11-1i3i3−i3−i3−i3−i3i3i300−2i2i−333−3i−i−ii000000000000
χ432-2-2-22-22220000-2-2-22-2222−2−2200002−22−2−22−220000000000002-2002−2−220000
χ442-2-2-22-22220000-2-2-22-2222−2−2200002−22−2−22−22000000000000-2200−222−20000
χ452-2-2-22-22220000-2-2-22-222−222−20000−22−222−22−20000000000002-200−222−20000
χ462-2-2-22-22220000-2-2-22-222−222−20000−22−222−22−2000000000000-22002−2−220000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ48444-4-4-44-44000044-44-4-4-40000000000000000000000000000000000000000
χ49444-4-4-44-4-20000-2-22-222200000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ50444-4-4-44-4-20000-2-22-222200000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ5144-444-4-4-4-24-44-4-2222-2-220000-222-200000000000000000000000000000000
χ5244-4-4-44-44400004-44-4-4-440000000000000000000000000000000000000000
χ5344-4-4-44-44-20000-22-2222-2000000006−6−66−666−6000000000000000000000000
χ5444-4-4-44-44-20000-22-2222-200000000−666−66−6−66000000000000000000000000
χ554-444-4-4-44-2-4-4442-222-22-2000022-2-200000000000000000000000000000000
χ564-44-444-4-4-200002-2-222-22−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ574-44-444-4-4-200002-2-222-222i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ584-4-44-444-4-24-4-4422-2-2-2220000-22-2200000000000000000000000000000000
χ594-4-4-44-444-20000222-22-2-222−22−22220000−22−222−22−2000000000000000000000000
χ604-4-4-44-444-20000222-22-2-2−222222−2200002−22−2−22−22000000000000000000000000

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