Finite Group Databasebeta

← Group #13180806

Character table — Group #13180806

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222334466688888812121616161616161818182424242424242436363636545472108112222334466688888812121616161616161818182424242424242436363636545472108
order1233664436412123336661212333666288121212121212124624248812222666644664121266666612126666662881212121212121246242488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111-11-1-1-1-1-1-11111111111111111111111111111-1-11111111-11-1-1-1-1-1-1
χ3111111-1-1111-1-111111111111111-1111-1-1-1-1-1-11-111-1-11-1111111-1-1111-1-111111111111111-1111-1-1-1-1-1-11-111-1-11-1
χ4111111-1-1111-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-111-11111111-1-1111-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-111-11
χ52222222222222-1-1-1-1-1-122-1-1-1-1-1-12002-1-1-1-1-1-1020000002222222222222-1-1-1-1-1-122-1-1-1-1-1-12002-1-1-1-1-1-102000000
χ6222222-2-2222-2-2-1-1-1-1-1-122-1-1-1-1-1-1-20021111110-2000000222222-2-2222-2-2-1-1-1-1-1-122-1-1-1-1-1-1-20021111110-2000000
χ7222-1-1222-1-12-1-12-1-12-1-1-122-1-12-1-1200-122-1-1-1-10-1000000222-1-1222-1-12-1-12-1-12-1-1-122-1-12-1-1200-122-1-1-1-10-1000000
χ8222-1-1222-1-12-1-1-12-1-12-1-12-12-1-12-1200-1-1-122-1-10-1000000222-1-1222-1-12-1-1-12-1-12-1-12-12-1-12-1200-1-1-122-1-10-1000000
χ9222-1-1222-1-12-1-1-1-12-1-12-12-1-12-1-12200-1-1-1-1-1220-1000000222-1-1222-1-12-1-1-1-12-1-12-12-1-12-1-12200-1-1-1-1-1220-1000000
χ10222-1-12-2-2-1-12112-1-12-1-1-122-1-12-1-1-200-1-2-2111101000000222-1-12-2-2-1-12112-1-12-1-1-122-1-12-1-1-200-1-2-2111101000000
χ11222-1-12-2-2-1-1211-12-1-12-1-12-12-1-12-1-200-111-2-21101000000222-1-12-2-2-1-1211-12-1-12-1-12-12-1-12-1-200-111-2-21101000000
χ12222-1-12-2-2-1-1211-1-12-1-12-12-1-12-1-12-200-11111-2-201000000222-1-12-2-2-1-1211-1-12-1-12-12-1-12-1-12-200-11111-2-201000000
χ1322-122-100-1-12002222222-1-1-1-1-1-1-1022-100000020-1-100-1022-122-100-1-12002222222-1-1-1-1-1-1-1022-100000020-1-100-10
χ1422-122-100-1-12002222222-1-1-1-1-1-1-10-2-2-1000000-2011001022-122-100-1-12002222222-1-1-1-1-1-1-10-2-2-1000000-20110010
χ152-222-2-22i−2i2-202i−2i-1-1-111100-1-1-111102−20i−ii−ii−i002−2i2−i2002-222-2-22i−2i2-202i−2i-1-1-111100-1-1-111102−20i−ii−ii−i002−2i2−i200
χ162-222-2-22i−2i2-202i−2i-1-1-111100-1-1-11110−220i−ii−ii−i00−22−i2i2002-222-2-22i−2i2-202i−2i-1-1-111100-1-1-11110−220i−ii−ii−i00−22−i2i200
χ172-222-2-2−2i2i2-20−2i2i-1-1-111100-1-1-111102−20−ii−ii−ii002−2−i2i2002-222-2-2−2i2i2-20−2i2i-1-1-111100-1-1-111102−20−ii−ii−ii002−2−i2i200
χ182-222-2-2−2i2i2-20−2i2i-1-1-111100-1-1-11110−220−ii−ii−ii00−22i2−i2002-222-2-2−2i2i2-20−2i2i-1-1-111100-1-1-11110−220−ii−ii−ii00−22i2−i200
χ193333333333-133000000-1-1000000-111-1000000-1-11111-1-13333333333-133000000-1-1000000-111-1000000-1-11111-1-1
χ203333333333-133000000-1-1000000-1-1-1-10000001-1-1-1-1-1113333333333-133000000-1-1000000-1-1-1-10000001-1-1-1-1-111
χ21333333-3-333-1-3-3000000-1-1000000111-1000000-1111-1-1-11333333-3-333-1-3-3000000-1-1000000111-1000000-1111-1-1-11
χ22333333-3-333-1-3-3000000-1-10000001-1-1-100000011-1-1111-1333333-3-333-1-3-3000000-1-10000001-1-1-100000011-1-1111-1
χ2344-244-200-2-2400-2-2-2-2-2-24-2111111000-20000000000000044-244-200-2-2400-2-2-2-2-2-24-2111111000-200000000000000
χ2444-2-2-2-200114004-2-24-2-2-2-2-211-21100010000000000000044-2-2-2-200114004-2-24-2-2-2-2-211-211000100000000000000
χ2544-2-2-2-20011400-24-2-24-2-2-21-211-2100010000000000000044-2-2-2-20011400-24-2-24-2-2-21-211-21000100000000000000
χ2644-2-2-2-20011400-2-24-2-24-2-211-211-200010000000000000044-2-2-2-20011400-2-24-2-24-2-211-211-2000100000000000000
χ274-444-4-44i−4i4-404i−4i111-1-1-100111-1-1-10000−ii−ii−ii000000004-444-4-44i−4i4-404i−4i111-1-1-100111-1-1-10000−ii−ii−ii00000000
χ284-444-4-4−4i4i4-40−4i4i111-1-1-100111-1-1-10000i−ii−ii−i000000004-444-4-4−4i4i4-40−4i4i111-1-1-100111-1-1-10000i−ii−ii−i00000000
χ294-44-22-44i−4i-220−2i2i11-2-1-120011-2-1-120000−ii−ii2i−2i000000004-44-22-44i−4i-220−2i2i11-2-1-120011-2-1-120000−ii−ii2i−2i00000000
χ304-44-22-44i−4i-220−2i2i1-21-12-1001-21-12-10000−ii2i−2i−ii000000004-44-22-44i−4i-220−2i2i1-21-12-1001-21-12-10000−ii2i−2i−ii00000000
χ314-44-22-44i−4i-220−2i2i-2112-1-100-2112-1-100002i−2i−ii−ii000000004-44-22-44i−4i-220−2i2i-2112-1-100-2112-1-100002i−2i−ii−ii00000000
χ324-44-22-4−4i4i-2202i−2i11-2-1-120011-2-1-120000i−ii−i−2i2i000000004-44-22-4−4i4i-2202i−2i11-2-1-120011-2-1-120000i−ii−i−2i2i00000000
χ334-44-22-4−4i4i-2202i−2i1-21-12-1001-21-12-10000i−i−2i2ii−i000000004-44-22-4−4i4i-2202i−2i1-21-12-1001-21-12-10000i−i−2i2ii−i00000000
χ344-44-22-4−4i4i-2202i−2i-2112-1-100-2112-1-10000−2i2ii−ii−i000000004-44-22-4−4i4i-2202i−2i-2112-1-100-2112-1-10000−2i2ii−ii−i00000000
χ354-4-24-4200-22000-2-2-222200111-1-1-1022−22000000000−2200004-4-24-4200-22000-2-2-222200111-1-1-1022−22000000000−220000
χ364-4-24-4200-22000-2-2-222200111-1-1-10−22220000000002−200004-4-24-4200-22000-2-2-222200111-1-1-10−22220000000002−20000
χ37666-3-3666-3-3-2-3-30000001-2000000-200100000001000000666-3-3666-3-3-2-3-30000001-2000000-200100000001000000
χ38666-3-36-6-6-3-3-2330000001-200000020010000000-1000000666-3-36-6-6-3-3-2330000001-200000020010000000-1000000
χ3966-366-300-3-3-200000000-210000000221000000-20-1-1001066-366-300-3-3-200000000-210000000221000000-20-1-10010
χ4066-366-300-3-3-200000000-210000000-2-21000000201100-1066-366-300-3-3-200000000-210000000-2-21000000201100-10
χ418-8-48-8400-44000222-2-2-200-1-1-11110000000000000000008-8-48-8400-44000222-2-2-200-1-1-1111000000000000000000
χ428-8-4-444002-200022-4-2-2400-1-1211-20000000000000000008-8-4-444002-200022-4-2-2400-1-1211-2000000000000000000
χ438-8-4-444002-20002-42-24-200-12-11-210000000000000000008-8-4-444002-20002-42-24-200-12-11-21000000000000000000
χ448-8-4-444002-2000-4224-2-2002-1-1-2110000000000000000008-8-4-444002-2000-4224-2-2002-1-1-211000000000000000000
χ451212-6-6-6-60033-40000000022000000000-1000000000000001212-6-6-6-60033-40000000022000000000-100000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ471111111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1111111
χ48111111-1-1111-1-111111111111111-1111-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-11-1-111-11
χ49111111-1-1111-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111111111-1-11-1
χ502222222222222-1-1-1-1-1-122-1-1-1-1-1-12002-1-1-1-1-1-102000000-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2111111-200-21111110-2000000
χ51222222-2-2222-2-2-1-1-1-1-1-122-1-1-1-1-1-1-20021111110-2000000-2-2-2-2-2-222-2-2-222111111-2-2111111200-2-1-1-1-1-1-102000000
χ52222-1-1222-1-12-1-12-1-12-1-1-122-1-12-1-1200-122-1-1-1-10-1000000-2-2-211-2-2-211-211-211-2111-2-211-211-2001-2-2111101000000
χ53222-1-1222-1-12-1-1-12-1-12-1-12-12-1-12-1200-1-1-122-1-10-1000000-2-2-211-2-2-211-2111-211-211-21-211-21-200111-2-21101000000
χ54222-1-1222-1-12-1-1-1-12-1-12-12-1-12-1-12200-1-1-1-1-1220-1000000-2-2-211-2-2-211-21111-211-21-211-211-2-20011111-2-201000000
χ55222-1-12-2-2-1-12112-1-12-1-1-122-1-12-1-1-200-1-2-2111101000000-2-2-211-22211-2-1-1-211-2111-2-211-211200122-1-1-1-10-1000000
χ56222-1-12-2-2-1-1211-12-1-12-1-12-12-1-12-1-200-111-2-21101000000-2-2-211-22211-2-1-11-211-211-21-211-212001-1-122-1-10-1000000
χ57222-1-12-2-2-1-1211-1-12-1-12-12-1-12-1-12-200-11111-2-201000000-2-2-211-22211-2-1-111-211-21-211-211-22001-1-1-1-1220-1000000
χ5822-122-100-1-12002222222-1-1-1-1-1-1-1022-100000020-1-100-10-2-21-2-210011-200-2-2-2-2-2-2-211111110-2-21000000-20110010
χ5922-122-100-1-12002222222-1-1-1-1-1-1-10-2-2-1000000-20110010-2-21-2-210011-200-2-2-2-2-2-2-21111111022100000020-1-100-10
χ602-222-2-22i−2i2-202i−2i-1-1-111100-1-1-111102−20i−ii−ii−i002−2i2−i200-22-2-222−2i2i-220−2i2i111-1-1-100111-1-1-10−220−ii−ii−ii00−22−i2i200
χ612-222-2-22i−2i2-202i−2i-1-1-111100-1-1-11110−220i−ii−ii−i00−22−i2i200-22-2-222−2i2i-220−2i2i111-1-1-100111-1-1-102−20−ii−ii−ii002−2i2−i200
χ622-222-2-2−2i2i2-20−2i2i-1-1-111100-1-1-111102−20−ii−ii−ii002−2−i2i200-22-2-2222i−2i-2202i−2i111-1-1-100111-1-1-10−220i−ii−ii−i00−22i2−i200
χ632-222-2-2−2i2i2-20−2i2i-1-1-111100-1-1-11110−220−ii−ii−ii00−22i2−i200-22-2-2222i−2i-2202i−2i111-1-1-100111-1-1-102−20i−ii−ii−i002−2−i2i200
χ643333333333-133000000-1-1000000-111-1000000-1-11111-1-1-3-3-3-3-3-3-3-3-3-31-3-3000000110000001-1-1100000011-1-1-1-111
χ653333333333-133000000-1-1000000-1-1-1-10000001-1-1-1-1-111-3-3-3-3-3-3-3-3-3-31-3-3000000110000001111000000-111111-1-1
χ66333333-3-333-1-3-3000000-1-1000000111-1000000-1111-1-1-11-3-3-3-3-3-333-3-313300000011000000-1-1-110000001-1-1-1111-1
χ67333333-3-333-1-3-3000000-1-10000001-1-1-100000011-1-1111-1-3-3-3-3-3-333-3-313300000011000000-1111000000-1-111-1-1-11
χ6844-244-200-2-2400-2-2-2-2-2-24-2111111000-200000000000000-4-42-4-420022-400222222-42-1-1-1-1-1-1000200000000000000
χ6944-2-2-2-200114004-2-24-2-2-2-2-211-211000100000000000000-4-4222200-1-1-400-422-422222-1-12-1-1000-100000000000000
χ7044-2-2-2-20011400-24-2-24-2-2-21-211-21000100000000000000-4-4222200-1-1-4002-422-4222-12-1-12-1000-100000000000000
χ7144-2-2-2-20011400-2-24-2-24-2-211-211-2000100000000000000-4-4222200-1-1-40022-422-422-1-12-1-12000-100000000000000
χ724-444-4-44i−4i4-404i−4i111-1-1-100111-1-1-10000−ii−ii−ii00000000-44-4-444−4i4i-440−4i4i-1-1-111100-1-1-11110000i−ii−ii−i00000000
χ734-444-4-4−4i4i4-40−4i4i111-1-1-100111-1-1-10000i−ii−ii−i00000000-44-4-4444i−4i-4404i−4i-1-1-111100-1-1-11110000−ii−ii−ii00000000
χ744-44-22-44i−4i-220−2i2i11-2-1-120011-2-1-120000−ii−ii2i−2i00000000-44-42-24−4i4i2-202i−2i-1-1211-200-1-1211-20000i−ii−i−2i2i00000000
χ754-44-22-44i−4i-220−2i2i1-21-12-1001-21-12-10000−ii2i−2i−ii00000000-44-42-24−4i4i2-202i−2i-12-11-2100-12-11-210000i−i−2i2ii−i00000000
χ764-44-22-44i−4i-220−2i2i-2112-1-100-2112-1-100002i−2i−ii−ii00000000-44-42-24−4i4i2-202i−2i2-1-1-211002-1-1-2110000−2i2ii−ii−i00000000
χ774-44-22-4−4i4i-2202i−2i11-2-1-120011-2-1-120000i−ii−i−2i2i00000000-44-42-244i−4i2-20−2i2i-1-1211-200-1-1211-20000−ii−ii2i−2i00000000
χ784-44-22-4−4i4i-2202i−2i1-21-12-1001-21-12-10000i−i−2i2ii−i00000000-44-42-244i−4i2-20−2i2i-12-11-2100-12-11-210000−ii2i−2i−ii00000000
χ794-44-22-4−4i4i-2202i−2i-2112-1-100-2112-1-10000−2i2ii−ii−i00000000-44-42-244i−4i2-20−2i2i2-1-1-211002-1-1-21100002i−2i−ii−ii00000000
χ804-4-24-4200-22000-2-2-222200111-1-1-1022−22000000000−220000-442-44-2002-2000222-2-2-200-1-1-11110−22220000000002−20000
χ814-4-24-4200-22000-2-2-222200111-1-1-10−22220000000002−20000-442-44-2002-2000222-2-2-200-1-1-1111022−22000000000−220000
χ82666-3-3666-3-3-2-3-30000001-2000000-200100000001000000-6-6-633-6-6-633233000000-12000000200-10000000-1000000
χ83666-3-36-6-6-3-3-2330000001-200000020010000000-1000000-6-6-633-666332-3-3000000-12000000-200-100000001000000
χ8466-366-300-3-3-200000000-210000000221000000-20-1-10010-6-63-6-6300332000000002-10000000-2-2-1000000201100-10
χ8566-366-300-3-3-200000000-210000000-2-21000000201100-10-6-63-6-6300332000000002-1000000022-1000000-20-1-10010
χ868-8-48-8400-44000222-2-2-200-1-1-1111000000000000000000-884-88-4004-4000-2-2-222200111-1-1-1000000000000000000
χ878-8-4-444002-200022-4-2-2400-1-1211-2000000000000000000-8844-4-400-22000-2-2422-40011-2-1-12000000000000000000
χ888-8-4-444002-20002-42-24-200-12-11-21000000000000000000-8844-4-400-22000-24-22-42001-21-12-1000000000000000000
χ898-8-4-444002-2000-4224-2-2002-1-1-211000000000000000000-8844-4-400-220004-2-2-42200-2112-1-1000000000000000000
χ901212-6-6-6-60033-40000000022000000000-100000000000000-12-12666600-3-3400000000-2-2000000000100000000000000

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