Finite Group Databasebeta

← Group #13140606

Character table — Group #13140606

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1111222222444466666666881212121212121212121212121818181818182424242424242424363636363636363636363636363636363636363636727272727272
order1222344666221212336666666636666666121212122266666666661212224666688881212242424242424242424661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-111
χ51111111111-1-11111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-111-1-11-1-1-1-111111111111111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-11111-1-1-1-1-11-1-111
χ81111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-111111-111-1-1
χ9222222222222222-12-1-12-1222-1-1-1-1-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-10000-1-100000000000000
χ10222222222222222-12-1-12-1222-1-1-1-1-1-1-1-12-1-12-2-2111122-1-1-1-1-1-1-2-2-2111100001100000000000000
χ1122222222222222-12-122-12-122-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-100000000022000000-1-1-1-10200-1-1
χ1222222222222222-12-122-12-122-12222-1-1-1-122-1000000-1-1-1-1-1-1-1-1000000000-2-200000011110-20011
χ132222222222-2-2222-12-1-12-12-2-2-11111-1-1-12-1-1222-1-1-1-1-2-21111-1-1-2-2211110000-1-100000000000000
χ142222222222-2-2222-12-1-12-12-2-2-11111-1-1-12-1-12-2-21111-2-21111-1-122-2-1-1-1-100001100000000000000
χ152222222222-2-222-12-122-12-1-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-100000000022000000-1-1-1-10-20011
χ162222222222-2-222-12-122-12-1-2-2-1-2-2-2-2-1-1-1-122-1000000111111-1-1000000000-2-200000011110200-1-1
χ1722222-2-222200-2-2222222220020000222-2-2-2-2222222000000-2-200-200000000-2-200000000000000
χ1822222-2-222200-2-2222222220020000222-2-2-2-2-2-2-2-2-2-2000000-2-2002000000002200000000000000
χ1922222-2-222200-2-22-12-1-12-1200-1−i3−i3i3i3-1-1-1-211-222-1-1-1-100−i3−i3i3i31100-2−i3−i3i3i300001100000000000000
χ2022222-2-222200-2-22-12-1-12-1200-1−i3−i3i3i3-1-1-1-211-2-2-2111100−i3−i3i3i311002i3i3−i3−i30000-1-100000000000000
χ2122222-2-222200-2-22-12-1-12-1200-1i3i3−i3−i3-1-1-1-211-222-1-1-1-100i3i3−i3−i31100-2i3i3−i3−i300001100000000000000
χ2222222-2-222200-2-22-12-1-12-1200-1i3i3−i3−i3-1-1-1-211-2-2-2111100i3i3−i3−i311002−i3−i3i3i30000-1-100000000000000
χ232-22-222-2-2-22002-222-2-2-222-20020000-2-22-22-220000000000002-22-202-22-200000000000000000000
χ242-22-222-2-2-22002-222-2-2-222-20020000-2-22-22-220000000000002-2-220-22-2200000000000000000000
χ252-22-222-2-2-22002-22-1-2112-1-200-1−i3i3−i3i311-1-2-11200−i3−i3i3i300−i3i3−i3i3-112-20-11-110000−i3i300000000000000
χ262-22-222-2-2-22002-22-1-2112-1-200-1−i3i3−i3i311-1-2-11200i3i3−i3−i300−i3i3−i3i3-11-2201-11-10000i3−i300000000000000
χ272-22-222-2-2-22002-22-1-2112-1-200-1i3−i3i3−i311-1-2-11200−i3−i3i3i300i3−i3i3−i3-11-2201-11-10000−i3i300000000000000
χ282-22-222-2-2-22002-22-1-2112-1-200-1i3−i3i3−i311-1-2-11200i3i3−i3−i300i3−i3i3−i3-112-20-11-110000i3−i300000000000000
χ292-22-22-22-2-222-2-2222-2-2-222-22-222-2-22-2-222-22-20000002-22-2-22-22000000000000000000000000000
χ302-22-22-22-2-222-2-222-1-2112-1-22-2-1-111-111-121-1-200−i3−i3i3i32-2-111-11-1000−i3i3i3−i30000i3−i300000000000000
χ312-22-22-22-2-222-2-222-1-2112-1-22-2-1-111-111-121-1-200i3i3−i3−i32-2-111-11-1000i3−i3−i3i30000−i3i300000000000000
χ322-22-22-22-2-222-2-22-121-2-2-1212-2-12-2-2211-1-1-221000000-11-111-11-10000000000000000033−3−300003−3
χ332-22-22-22-2-222-2-22-121-2-2-1212-2-12-2-2211-1-1-221000000-11-111-11-100000000000000000−3−3330000−33
χ342-22-22-22-2-22-22-2222-2-2-222-2-222-222-2-2-222-22-2000000-22-222-2-22000000000000000000000000000
χ352-22-22-22-2-22-22-222-1-2112-1-2-22-11-1-1111-121-1-200−i3−i3i3i3-221-1-111-1000i3−i3−i3i30000i3−i300000000000000
χ362-22-22-22-2-22-22-222-1-2112-1-2-22-11-1-1111-121-1-200i3i3−i3−i3-221-1-111-1000−i3i3i3−i30000−i3i300000000000000
χ372-22-22-22-2-22-22-22-121-2-2-121-22-1-222-211-1-1-2210000001-11-1-111-10000000000000000033−3−30000−33
χ382-22-22-22-2-22-22-22-121-2-2-121-22-1-222-211-1-1-2210000001-11-1-111-100000000000000000−3−33300003−3
χ392-2-222002-2-2000022-22-2-2-2200200002-2-200002-22-22-20000000000000002−22−20022−2−22−22−2000000
χ402-2-222002-2-2000022-22-2-2-2200200002-2-200002-22-22-2000000000000000−22−2200−2−222−22−22000000
χ412-2-222002-2-2000022-22-2-2-2200200002-2-20000-22-22-220000000000000002−2−220022−2−2−22−22000000
χ422-2-222002-2-2000022-22-2-2-2200200002-2-20000-22-22-22000000000000000−222−200−2−2222−22−2000000
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
χ4544444-4-444400-4-4-24-244-24-200-20000-2-2-22-4-4200000000000022000000000000000000000000000
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
χ4844-4-4400-44-40000444-44-4-4-40040000-44-4000000000000000000000000000000000000000000000
χ4944-4-4400-44-400004-242-2-42-400-200002-22000000−2i32i32i3−2i300000000000000000000000000000000000
χ5044-4-4400-44-400004-242-2-42-400-200002-220000002i3−2i3−2i32i300000000000000000000000000000000000
χ5144-4-4400-44-40000-24-2-442-4200-200002-22000000000000000000000000000000000006−6−66000000
χ5244-4-4400-44-40000-24-2-442-4200-200002-2200000000000000000000000000000000000−666−6000000
χ534-44-444-4-4-44004-4-242-4-4-24200-2000022-224-4-2000000000000-22000000000000000000000000000
χ544-44-444-4-4-44004-4-2-2222-2-22001−2i32i3−2i32i3-1-112-22-200000000i3−i3i3−i31-1000000000000000000000000000
χ554-44-444-4-4-44004-4-2-2222-2-220012i3−2i32i3−2i3-1-112-22-200000000−i3i3−i3i31-1000000000000000000000000000
χ564-44-44-44-4-444-4-44-2-2222-2-224-41-222-2-1-11-22-22000000-221-1-11-11000000000000000000000000000
χ574-44-44-44-4-44-44-44-2-2222-2-22-4412-2-22-1-11-22-220000002-2-111-1-11000000000000000000000000000
χ584-4-444004-4-400004-2-4-22-42400-20000-22200004-4-22-2200000000000000000000000000000000000
χ594-4-444004-4-400004-2-4-22-42400-20000-2220000-442-22-200000000000000000000000000000000000
χ604-4-444004-4-40000-2424-42-4-200-20000-22200000000000000000000000000022−22000000−22−22000000
χ614-4-444004-4-40000-2424-42-4-200-20000-222000000000000000000000000000−22220000002−22−2000000
χ626666-366-3-3-366-3-300000000-3-3000000000000000000000000000000000220000-1-1-1-1000020-1-100
χ636666-366-3-3-366-3-300000000-3-3000000000000000000000000000000000-2-2000011110000-201100
χ646666-366-3-3-3-6-6-3-30000000033000000000000000000000000000000000220000-1-1-1-10000-201100
χ656666-366-3-3-3-6-6-3-30000000033000000000000000000000000000000000-2-200001111000020-1-100
χ666-66-6-3-6633-36-63-300000000-33000000000000000000000000000000000000000−i3i3−i3i3000000−i3i300
χ676-66-6-3-6633-36-63-300000000-33000000000000000000000000000000000000000i3−i3i3−i3000000i3−i300
χ686-66-6-3-6633-3-663-3000000003-3000000000000000000000000000000000000000−i3i3−i3i3000000i3−i300
χ696-66-6-3-6633-3-663-3000000003-3000000000000000000000000000000000000000i3−i3i3−i3000000−i3i300
χ7088-8-8800-88-80000-4-4-44-44440020000-22-2000000000000000000000000000000000000000000000
χ718-8-888008-8-80000-4-44-4444-400200002-2-2000000000000000000000000000000000000000000000
χ7212121212-6-12-12-6-6-60066000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6006-6600000000000000000000000000000000000000000000000000000i6−i6−i6i60000000000
χ741212-12-12-6006-6600000000000000000000000000000000000000000000000000000−i6i6i6−i60000000000
χ7512-1212-12-612-1266-600-66000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-600-6660000000000000000000000000000000000000000000000022−220000−2−2220000000000
χ7712-12-1212-600-66600000000000000000000000000000000000000000000000−2222000022−2−20000000000

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