Finite Group Databasebeta

← Group #13140620

Character table — Group #13140620

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1111222222444466666666881212121212121212121212121818181818182424242424242424363636363636363636363636363636363636363636727272727272
order12223446662212123366666666366666661212121244121212126666661212444888812121212121224242424242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ51111111111-1-11111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ81111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-1-1-1-111111-111-1-1
χ9222222222222222-122-1-12-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-12220000-1-1-1-1-1-100000000000000
χ10222222222222222-122-1-12-122-1-1-1-1-1-1-1-1-1-122-2-2111122-1-1-1-1-1-1-2-2-2000011111100000000000000
χ1122222222222222-12-1-122-1222-12222-1-1-122-1-1000000-1-1-1-1-1-1-1-100000220000000000-1-1-1-10200-1-1
χ1222222222222222-12-1-122-1222-12222-1-1-122-1-1000000-1-1-1-1-1-1-1-100000-2-2000000000011110-20011
χ132222222222-2-2222-122-1-12-1-2-2-11111-1-1-1-1-12222-1-1-1-1-2-21111-1-12-2-20000-1-1111100000000000000
χ142222222222-2-2222-122-1-12-1-2-2-11111-1-1-1-1-122-2-21111-2-21111-1-1-222000011-1-1-1-100000000000000
χ152222222222-2-222-12-1-122-12-2-2-1-2-2-2-2-1-1-122-1-1000000111111-1-100000220000000000-1-1-1-10-20011
χ162222222222-2-222-12-1-122-12-2-2-1-2-2-2-2-1-1-122-1-1000000111111-1-100000-2-2000000000011110200-1-1
χ1722222-2-222200-2-2222222220020000222-2-2-2-2222222000000-2-2-2000000-2-2000000000000000000
χ1822222-2-222200-2-2222222220020000222-2-2-2-2-2-2-2-2-2-2000000-2-2200000022000000000000000000
χ1922222-2-222200-2-22-122-1-12-100-1−i3−i3i3i3-1-1-111-2-222-1-1-1-100−i3−i3i3i311-200000011−i3−i3i3i300000000000000
χ2022222-2-222200-2-22-122-1-12-100-1−i3−i3i3i3-1-1-111-2-2-2-2111100−i3−i3i3i3112000000-1-1i3i3−i3−i300000000000000
χ2122222-2-222200-2-22-122-1-12-100-1i3i3−i3−i3-1-1-111-2-222-1-1-1-100i3i3−i3−i311-200000011i3i3−i3−i300000000000000
χ2222222-2-222200-2-22-122-1-12-100-1i3i3−i3−i3-1-1-111-2-2-2-2111100i3i3−i3−i3112000000-1-1−i3−i3i3i300000000000000
χ232-22-22002-2-20000222-2-2-2-2200200002-2-200002-222-2-200000000000−i2i2−i2i2000000−i2−i2i2i2−i2−i2i2i2000000
χ242-22-22002-2-20000222-2-2-2-2200200002-2-200002-222-2-200000000000i2−i2i2−i2000000i2i2−i2−i2i2i2−i2−i2000000
χ252-22-22002-2-20000222-2-2-2-2200200002-2-20000-22-2-22200000000000−i2i2i2−i2000000−i2−i2i2i2i2i2−i2−i2000000
χ262-22-22002-2-20000222-2-2-2-2200200002-2-20000-22-2-22200000000000i2−i2−i2i2000000i2i2−i2−i2−i2−i2i2i2000000
χ272-2-2222-2-2-22002-222-2-22-22-20020000-2-222-22-20000000000002-202i−2i0000002i−2i2i−2i00000000000000
χ282-2-2222-2-2-22002-222-2-22-22-20020000-2-222-22-20000000000002-20−2i2i000000−2i2i−2i2i00000000000000
χ292-2-2222-2-2-22002-22-1-2-2-112100-1−i3i3−i3i311-1-112-2003−33−300−i3i3−i3i3-1102i−2i00003−3−ii−ii00000000000000
χ302-2-2222-2-2-22002-22-1-2-2-112100-1−i3i3−i3i311-1-112-200−33−3300−i3i3−i3i3-110−2i2i0000−33i−ii−i00000000000000
χ312-2-2222-2-2-22002-22-1-2-2-112100-1i3−i3i3−i311-1-112-2003−33−300i3−i3i3−i3-110−2i2i00003−3i−ii−i00000000000000
χ322-2-2222-2-2-22002-22-1-2-2-112100-1i3−i3i3−i311-1-112-200−33−3300i3−i3i3−i3-1102i−2i0000−33−ii−ii00000000000000
χ332-2-222-22-2-222-2-2222-2-22-22-22-222-2-22-2-22-22-220000002-22-2-22-22000000000000000000000000000
χ342-2-222-22-2-222-2-222-1-2-2-11212-2-1-111-111-11-1-22003−33−32-2-111-11-10000000−333−3−3300000000000000
χ352-2-222-22-2-222-2-222-1-2-2-11212-2-1-111-111-11-1-2200−33−332-2-111-11-100000003−3−333−300000000000000
χ362-2-222-22-2-222-2-22-12112-2-1-22-2-12-2-2211-1-221-1000000-11-111-11-100000000000000000−i3i3−i3i30000−i3i3
χ372-2-222-22-2-222-2-22-12112-2-1-22-2-12-2-2211-1-221-1000000-11-111-11-100000000000000000i3−i3i3−i30000i3−i3
χ382-2-222-22-2-22-22-2222-2-22-22-2-222-222-2-2-22-22-22000000-22-222-2-22000000000000000000000000000
χ392-2-222-22-2-22-22-222-1-2-2-1121-22-11-1-1111-11-1-22003−33−3-221-1-111-10000000−33−333−300000000000000
χ402-2-222-22-2-22-22-222-1-2-2-1121-22-11-1-1111-11-1-2200−33−33-221-1-111-100000003−33−3−3300000000000000
χ412-2-222-22-2-22-22-22-12112-2-1-2-22-1-222-211-1-221-10000001-11-1-111-100000000000000000−i3i3−i3i30000i3−i3
χ422-2-222-22-2-22-22-22-12112-2-1-2-22-1-222-211-1-221-10000001-11-1-111-100000000000000000i3−i3i3−i30000−i3i3
χ4344444444444444-2-2-2-2-2-2-2-2441-2-2-2-2111-2-2-2-2000000-2-2111111000000000000000000000000000
χ444444444444-4-444-2-2-2-2-2-2-2-2-4-412222111-2-2-2-200000022-1-1-1-111000000000000000000000000000
χ4544444-4-444400-4-4-24-2-244-2400-20000-2-2-2-4-42200000000000022000000000000000000000000000
χ4644444-4-444400-4-4-2-2-2-2-2-2-2-2001−2i3−2i32i32i3111222200000000i3i3−i3−i3-1-1000000000000000000000000000
χ4744444-4-444400-4-4-2-2-2-2-2-2-2-20012i32i3−2i3−2i3111222200000000−i3−i3i3i3-1-1000000000000000000000000000
χ4844-4-4400-44-4000044-44-44-4-40040000-44-4000000000000000000000000000000000000000000000
χ4944-4-4400-44-400004-2-442-2-4200-200002-2200000023−23−232300000000000000000000000000000000000
χ5044-4-4400-44-400004-2-442-2-4200-200002-22000000−232323−2300000000000000000000000000000000000
χ5144-4-4400-44-40000-242-2-442-400-200002-22000000000000000000000000000000000006−6−66000000
χ5244-4-4400-44-40000-242-2-442-400-200002-2200000000000000000000000000000000000−666−6000000
χ534-44-44004-4-400004-24-422-4-200-20000-22200004-4-2-22200000000000000000000000000000000000
χ544-44-44004-4-400004-24-422-4-200-20000-2220000-4422-2-200000000000000000000000000000000000
χ554-44-44004-4-40000-24-22-4-42400-20000-22200000000000000000000000−2i22i20000000000i2i2−i2−i2000000
χ564-44-44004-4-40000-24-22-4-42400-20000-222000000000000000000000002i2−2i20000000000−i2−i2i2i2000000
χ574-4-4444-4-4-44004-4-24224-4-2-400-2000022-24-4-22000000000000-22000000000000000000000000000
χ584-4-4444-4-4-44004-4-2-222-22-22001−2i32i3−2i32i3-1-11-22-2200000000i3−i3i3−i31-1000000000000000000000000000
χ594-4-4444-4-4-44004-4-2-222-22-220012i3−2i32i3−2i3-1-11-22-2200000000−i3i3−i3i31-1000000000000000000000000000
χ604-4-444-44-4-444-4-44-2-222-22-224-41-222-2-1-112-22-2000000-221-1-11-11000000000000000000000000000
χ614-4-444-44-4-44-44-44-2-222-22-22-4412-2-22-1-112-22-20000002-2-111-1-11000000000000000000000000000
χ626666-366-3-3-366-3-300000000-3-3000000000000000000000000000002200000000-1-1-1-1000020-1-100
χ636666-366-3-3-366-3-300000000-3-300000000000000000000000000000-2-20000000011110000-201100
χ646666-366-3-3-3-6-6-3-30000000033000000000000000000000000000002200000000-1-1-1-10000-201100
χ656666-366-3-3-3-6-6-3-3000000003300000000000000000000000000000-2-2000000001111000020-1-100
χ666-6-66-3-6633-36-63-300000000-33000000000000000000000000000000000000000−i3i3−i3i3000000−i3i300
χ676-6-66-3-6633-36-63-300000000-33000000000000000000000000000000000000000i3−i3i3−i3000000i3−i300
χ686-6-66-3-6633-3-663-3000000003-3000000000000000000000000000000000000000−i3i3−i3i3000000i3−i300
χ696-6-66-3-6633-3-663-3000000003-3000000000000000000000000000000000000000i3−i3i3−i3000000−i3i300
χ7088-8-8800-88-80000-4-44-44-4440020000-22-2000000000000000000000000000000000000000000000
χ718-88-88008-8-80000-4-4-44444-400200002-2-2000000000000000000000000000000000000000000000
χ7212121212-6-12-12-6-6-60066000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6006-66000000000000000000000000000000000000000000000000000006−6−660000000000
χ741212-12-12-6006-6600000000000000000000000000000000000000000000000000000−666−60000000000
χ7512-1212-12-600-6660000000000000000000000000000000000000000000−2i22i200000000i2i2−i2−i20000000000
χ7612-1212-12-600-66600000000000000000000000000000000000000000002i2−2i200000000−i2−i2i2i20000000000
χ7712-12-1212-612-1266-600-66000000000000000000000000000000000000000000000000000000000000000

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