Finite Group Databasebeta

← Group #13140610

Character table — Group #13140610

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1111222222444466666666881212121212121212121212121818181818182424242424242424363636363636363636363636363636363636363636727272727272
order1222344666221212336666666636666666121212124412121212666666121244488881212121212122424242424242424226666
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
χ9222222222222222-1-1-12-12222-12222-1-1-122-1-1000000-1-1-1-1-1-1-1-100000220000000000-1-1-1-10200-1-1
χ10222222222222222-1-1-12-12222-12222-1-1-122-1-1000000-1-1-1-1-1-1-1-100000-2-2000000000011110-20011
χ1122222222222222-1222-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-12220000-1-1-1-1-1-100000000000000
χ1222222222222222-1222-12-1-122-1-1-1-1-1-1-1-1-1-122-2-2111122-1-1-1-1-1-1-2-2-2000011111100000000000000
χ132222222222-2-2222-1-1-12-122-2-2-1-2-2-2-2-1-1-122-1-1000000111111-1-100000220000000000-1-1-1-10-20011
χ142222222222-2-2222-1-1-12-122-2-2-1-2-2-2-2-1-1-122-1-1000000111111-1-100000-2-2000000000011110200-1-1
χ152222222222-2-222-1222-12-1-1-2-2-11111-1-1-1-1-12222-1-1-1-1-2-21111-1-12-2-20000-1-1111100000000000000
χ162222222222-2-222-1222-12-1-1-2-2-11111-1-1-1-1-122-2-21111-2-21111-1-1-222000011-1-1-1-100000000000000
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
χ1922222-2-222200-2-2-1222-12-1-100-1−i3−i3i3i3-1-1-111-2-222-1-1-1-100−i3−i3i3i311-200000011−i3−i3i3i300000000000000
χ2022222-2-222200-2-2-1222-12-1-100-1−i3−i3i3i3-1-1-111-2-2-2-2111100−i3−i3i3i3112000000-1-1i3i3−i3−i300000000000000
χ2122222-2-222200-2-2-1222-12-1-100-1i3i3−i3−i3-1-1-111-2-222-1-1-1-100i3i3−i3−i311-200000011i3i3−i3−i300000000000000
χ2222222-2-222200-2-2-1222-12-1-100-1i3i3−i3−i3-1-1-111-2-2-2-2111100i3i3−i3−i3112000000-1-1−i3−i3i3i300000000000000
χ2322-2-222-2-2-22002-222-2-222-2-20020000-2-222-22-20000000000002-202i−2i0000002i−2i2i−2i00000000000000
χ2422-2-222-2-2-22002-222-2-222-2-20020000-2-222-22-20000000000002-20−2i2i000000−2i2i−2i2i00000000000000
χ2522-2-222-2-2-22002-2-12-2-2-121100-1−i3i3−i3i311-1-112-20033−3−300−i3i3−i3i3-1102i−2i00003−3−ii−ii00000000000000
χ2622-2-222-2-2-22002-2-12-2-2-121100-1−i3i3−i3i311-1-112-200−3−33300−i3i3−i3i3-110−2i2i0000−33i−ii−i00000000000000
χ2722-2-222-2-2-22002-2-12-2-2-121100-1i3−i3i3−i311-1-112-20033−3−300i3−i3i3−i3-110−2i2i00003−3i−ii−i00000000000000
χ2822-2-222-2-2-22002-2-12-2-2-121100-1i3−i3i3−i311-1-112-200−3−33300i3−i3i3−i3-1102i−2i0000−33−ii−ii00000000000000
χ2922-2-22-22-2-222-2-2222-2-222-2-22-222-2-22-2-22-22-220000002-22-2-22-22000000000000000000000000000
χ3022-2-22-22-2-222-2-222-1112-1-2-22-2-12-2-2211-1-221-1000000-11-111-11-100000000000000000−i3−i3i3i30000−i3i3
χ3122-2-22-22-2-222-2-222-1112-1-2-22-2-12-2-2211-1-221-1000000-11-111-11-100000000000000000i3i3−i3−i30000i3−i3
χ3222-2-22-22-2-222-2-22-12-2-2-12112-2-1-111-111-11-1-220033−3−32-2-111-11-10000000−333−3−3300000000000000
χ3322-2-22-22-2-222-2-22-12-2-2-12112-2-1-111-111-11-1-2200−3−3332-2-111-11-100000003−3−333−300000000000000
χ3422-2-22-22-2-22-22-2222-2-222-2-2-222-222-2-2-22-22-22000000-22-222-2-22000000000000000000000000000
χ3522-2-22-22-2-22-22-222-1112-1-2-2-22-1-222-211-1-221-10000001-11-1-111-100000000000000000−i3−i3i3i30000i3−i3
χ3622-2-22-22-2-22-22-222-1112-1-2-2-22-1-222-211-1-221-10000001-11-1-111-100000000000000000i3i3−i3−i30000−i3i3
χ3722-2-22-22-2-22-22-22-12-2-2-1211-22-11-1-1111-11-1-220033−3−3-221-1-111-10000000−33−333−300000000000000
χ3822-2-22-22-2-22-22-22-12-2-2-1211-22-11-1-1111-11-1-2200−3−333-221-1-111-100000003−33−3−3300000000000000
χ392-2-222002-2-20000222-2-2-2-2200200002-2-200002-22-22-2000000000002−22−200000022−2−22−22−2000000
χ402-2-222002-2-20000222-2-2-2-2200200002-2-200002-22-22-200000000000−22−22000000−2−222−22−22000000
χ412-2-222002-2-20000222-2-2-2-2200200002-2-20000-22-22-22000000000002−2−2200000022−2−2−22−22000000
χ422-2-222002-2-20000222-2-2-2-2200200002-2-20000-22-22-2200000000000−222−2000000−2−2222−22−2000000
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
χ4544444-4-444400-4-44-2-2-24-24400-20000-2-2-2-4-42200000000000022000000000000000000000000000
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
χ4844-4-444-4-4-44004-44-2224-2-4-400-2000022-24-4-22000000000000-22000000000000000000000000000
χ4944-4-444-4-4-44004-4-2-222-2-222001−2i32i3−2i32i3-1-11-22-2200000000i3−i3i3−i31-1000000000000000000000000000
χ5044-4-444-4-4-44004-4-2-222-2-2220012i3−2i32i3−2i3-1-11-22-2200000000−i3i3−i3i31-1000000000000000000000000000
χ5144-4-44-44-4-444-4-44-2-222-2-2224-41-222-2-1-112-22-2000000-221-1-11-11000000000000000000000000000
χ5244-4-44-44-4-44-44-44-2-222-2-222-4412-2-22-1-112-22-20000002-2-111-1-11000000000000000000000000000
χ534-44-4400-44-4000044-44-4-44-40040000-44-4000000000000000000000000000000000000000000000
χ544-44-4400-44-400004-22-2-424-400-200002-2200000000000000000000000000000000000i6−i6−i6i6000000
χ554-44-4400-44-400004-22-2-424-400-200002-2200000000000000000000000000000000000−i6i6i6−i6000000
χ564-44-4400-44-40000-24-442-4-2200-200002-2200000023−23−232300000000000000000000000000000000000
χ574-44-4400-44-40000-24-442-4-2200-200002-22000000−232323−2300000000000000000000000000000000000
χ584-4-444004-4-400004-2-22-42-4400-20000-2220000000000000000000000022−220000000000−22−22000000
χ594-4-444004-4-400004-2-22-42-4400-20000-22200000000000000000000000−222200000000002−22−2000000
χ604-4-444004-4-40000-244-42-42-200-20000-22200004-4-22-2200000000000000000000000000000000000
χ614-4-444004-4-40000-244-42-42-200-20000-2220000-442-22-200000000000000000000000000000000000
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
χ6666-6-6-3-6633-36-63-300000000-33000000000000000000000000000000000000000−i3i3−i3i3000000−i3i300
χ6766-6-6-3-6633-36-63-300000000-33000000000000000000000000000000000000000i3−i3i3−i3000000i3−i300
χ6866-6-6-3-6633-3-663-3000000003-3000000000000000000000000000000000000000−i3i3−i3i3000000i3−i300
χ6966-6-6-3-6633-3-663-3000000003-3000000000000000000000000000000000000000i3−i3i3−i3000000−i3i300
χ708-88-8800-88-80000-4-44-444-440020000-22-2000000000000000000000000000000000000000000000
χ718-8-888008-8-80000-4-4-44444-400200002-2-2000000000000000000000000000000000000000000000
χ7212121212-6-12-12-6-6-60066000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-612-1266-600-66000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-6006-6600000000000000000000000000000000000000000000000000000i6−i6−i6i60000000000
χ7512-1212-12-6006-6600000000000000000000000000000000000000000000000000000−i6i6i6−i60000000000
χ7612-12-1212-600-666000000000000000000000000000000000000000000022−2200000000−2−2220000000000
χ7712-12-1212-600-6660000000000000000000000000000000000000000000−22220000000022−2−20000000000

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