Finite Group Databasebeta

← Group #13181160

Character table — Group #13181160

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222444444488888888889916161616161618181818181818181818181818181836363636363636363636363636363636363636363636727272727272
order12344463366121212336612121212121222121212121212444444444661212121222222244412121212121212121212121212666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1
χ311111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1111
χ411111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1
χ51111-1-1111111-1-1111111-1-1-1-11111-1-1-1-11-1-11111111111111-1-11-1-11-1-11-1-1111111-1-1-1-11-1-11-1-1
χ61111-1-1111111-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-111-1-1-1-11-1-1-111-1111-1-111-1-1-1-111111-1-1-111
χ71111-1-1111111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111-1-1-1111-1-1-1-111-1-11111-1111-1-1
χ81111-1-1111111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111111-111-1111-1-11-1-1-1-1-1-111-1-1-1-1-111-111
χ9111-11-111111-11-11111-1-111-1-111-1-111-1-1-11-1111111111111-11-1-11-1-11-1-11-11111-1-111-1-1-11-1-11-1
χ10111-11-111111-11-11111-1-111-1-111-1-111-1-1-11-111-1-1-1-111-1-1-1-1-11-11-111-11-11-111-1-111-1-111-11-11-11
χ11111-11-111111-11-11111-1-111-1-111-1-111-1-1-11-1-1-111-1-111-1-1-1-11-11-11-11-11-11-1-1-11111-1-1111-11-11-1
χ12111-11-111111-11-11111-1-111-1-111-1-111-1-1-11-1-1-1-1-1111111111-111-11-11-1-11-1-1-1-1-1-1-111-1-11-111-11
χ13111-1-1111111-1-111111-1-1-1-11111-1-1-1-111-1-11111111111111-1-11-1-11-1-11-1-111111-1-1-1-111-1-11-1-11
χ14111-1-1111111-1-111111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1-1111-111-1-1-1111-1-11111-1-1-1-1111-1
χ15111-1-1111111-1-111111-1-1-1-11111-1-1-1-111-1-11-1-111-1-111-1-1-1-111-1-1-1111-1-1-11-1-1111111-1-111-1-1-11
χ16111-1-1111111-1-111111-1-1-1-11111-1-1-1-111-1-11-1-1-1-11111111111-111-1-1-11-1-11-1-1-1-1-1-1-1-11111-111-1
χ17222222222222222222222222-2-2222222-2-2-2000000-2-20000000000000-2-2-20000000000000000
χ182222-2-2222222-2-2222222-2-2-2-2-2-222-2-2-2-2-222000000-2-20000000000000-2220000000000000000
χ19222-22-222222-22-22222-2-222-2-2-2-2-2-222-2-22-22000000-2-200000000000002-220000000000000000
χ20222-2-2222222-2-222222-2-2-2-222-2-2-2-2-2-22222-2000000-2-2000000000000022-20000000000000000
χ2122-1222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1222000022-1-1-1-1-1-1000000222-1-1-10000-1-1-1-1-1-1000000
χ2222-1222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-12220000-2-2-1-11111000000-2-2-2-1-1-10000111111000000
χ2322-1222-12222-1-1-1-1-1-1-1222222-2-2-1-1-1-1-1-1-2-2-20000001133−3−300000000011100003−33−33−3000000
χ2422-1222-12222-1-1-1-1-1-1-1222222-2-2-1-1-1-1-1-1-2-2-200000011−3−3330000000001110000−33−33−33000000
χ2522-12-2-2-12222-111-1-1-1-122-2-2-2-222-1-111112-2-2000022-1-1-1-1-1-10000002-2-2-1110000-1-11111000000
χ2622-12-2-2-12222-111-1-1-1-122-2-2-2-222-1-111112-2-20000-2-2-1-11111000000-222-111000011-1-1-1-1000000
χ2722-12-2-2-12222-111-1-1-1-122-2-2-2-2-2-2-1-11111-2220000001133−3−30000000001-1-100003−3−33−33000000
χ2822-12-2-2-12222-111-1-1-1-122-2-2-2-2-2-2-1-11111-22200000011−3−3330000000001-1-10000−333−33−3000000
χ2922-1-22-2-122221-11-1-1-1-1-2-222-2-22211-1-111-22-2000022-1-1-1-1-1-1000000-22-21-11000011-1-111000000
χ3022-1-22-2-122221-11-1-1-1-1-2-222-2-22211-1-111-22-20000-2-2-1-111110000002-221-110000-1-111-1-1000000
χ3122-1-22-2-122221-11-1-1-1-1-2-222-2-2-2-211-1-1112-220000001133−3−3000000000-11-10000−333−3−33000000
χ3222-1-22-2-122221-11-1-1-1-1-2-222-2-2-2-211-1-1112-2200000011−3−333000000000-11-100003−3−333−3000000
χ3322-1-2-22-1222211-1-1-1-1-1-2-2-2-222221111-1-1-2-22000022-1-1-1-1-1-1000000-2-2211-100001111-1-1000000
χ3422-1-2-22-1222211-1-1-1-1-1-2-2-2-222221111-1-1-2-220000-2-2-1-1111100000022-211-10000-1-1-1-111000000
χ3522-1-2-22-1222211-1-1-1-1-1-2-2-2-222-2-21111-1-122-20000001133−3−3000000000-1-110000−33−333−3000000
χ3622-1-2-22-1222211-1-1-1-1-1-2-2-2-222-2-21111-1-122-200000011−3−333000000000-1-1100003−33−3−33000000
χ372-22000-222-2-200022-2-20000002-20000000002i−2i2i−2i2-22-22-22-20000000000002i−2i2i−2i000000000000
χ382-22000-222-2-200022-2-20000002-20000000002i−2i−2i2i-222-2-22-220000000000002i−2i−2i2i000000000000
χ392-22000-222-2-200022-2-20000002-2000000000−2i2i2i−2i-222-2-22-22000000000000−2i2i2i−2i000000000000
χ402-22000-222-2-200022-2-20000002-2000000000−2i2i−2i2i2-22-22-22-2000000000000−2i2i−2i2i000000000000
χ4144444441-21-24441-21-21-21-21-2001-21-21-200000220000000000022200000000-1-1000000000-1-1-1
χ4244444441-21-24441-21-21-21-21-2001-21-21-200000-2-200000000000-2-2-20000000011000000000111
χ434444444-21-21444-21-21-21-21-2100-21-21-21000220000000000222000000000-1-100000000-1-1-1000
χ444444444-21-21444-21-21-21-21-2100-21-21-21000-2-20000000000-2-2-20000000001100000000111000
χ454444-4-441-21-24-4-41-21-21-2-12-12001-2-12-120000022000000000002-2-200000000-1-1000000000-111
χ464444-4-441-21-24-4-41-21-21-2-12-12001-2-12-1200000-2-200000000000-22200000000110000000001-1-1
χ474444-4-44-21-214-4-4-21-21-212-12-100-212-12-10002200000000002-2-2000000000-1-100000000-111000
χ484444-4-44-21-214-4-4-21-21-212-12-100-212-12-1000-2-20000000000-22200000000011000000001-1-1000
χ49444-44-441-21-2-44-41-21-2-121-2-1200-121-2-12000002200000000000-22-200000000-1-10000000001-11
χ50444-44-441-21-2-44-41-21-2-121-2-1200-121-2-1200000-2-2000000000002-220000000011000000000-11-1
χ51444-44-44-21-21-44-4-21-212-1-212-1002-1-212-1000220000000000-22-2000000000-1-1000000001-11000
χ52444-44-44-21-21-44-4-21-212-1-212-1002-1-212-1000-2-200000000002-220000000001100000000-11-1000
χ53444-4-4441-21-2-4-441-21-2-12-121-200-12-121-2000002200000000000-2-2200000000-1-100000000011-1
χ54444-4-4441-21-2-4-441-21-2-12-121-200-12-121-200000-2-20000000000022-20000000011000000000-1-11
χ55444-4-444-21-21-4-44-21-212-12-1-21002-12-1-21000220000000000-2-22000000000-1-10000000011-1000
χ56444-4-444-21-21-4-44-21-212-12-1-21002-12-1-21000-2-2000000000022-20000000001100000000-1-11000
χ574-44000-444-4-400044-4-4000000-44000000000000000-4400000000000000000000000000000000
χ584-4-2000244-4-4000-2-2220000004-400000000000004-4-22-22-220000000000000000000000000000
χ594-4-2000244-4-4000-2-2220000004-40000000000000-44-222-22-20000000000000000000000000000
χ604-4-2000244-4-4000-2-222000000-440000000000000002-223−23−23230000000000000000000000000000
χ614-4-2000244-4-4000-2-222000000-440000000000000002-2−232323−230000000000000000000000000000
χ6288-4888-42-42-4-4-4-4-12-122-42-42-400-12-12-120000000000000000000000000000000000000000000
χ6388-4888-4-42-42-4-4-42-12-1-42-42-42002-12-12-10000000000000000000000000000000000000000000
χ6488-48-8-8-42-42-4-444-12-122-4-24-2400-121-21-20000000000000000000000000000000000000000000
χ6588-48-8-8-4-42-42-4442-12-1-424-24-2002-1-21-210000000000000000000000000000000000000000000
χ6688-4-88-8-42-42-44-44-12-12-242-4-24001-2-121-20000000000000000000000000000000000000000000
χ6788-4-88-8-4-42-424-442-12-14-2-424-200-212-1-210000000000000000000000000000000000000000000
χ6888-4-8-88-42-42-444-4-12-12-24-242-4001-21-2-120000000000000000000000000000000000000000000
χ6988-4-8-88-4-42-4244-42-12-14-24-2-4200-21-212-10000000000000000000000000000000000000000000
χ708-88000-82-4-240002-4-2400000000000000000004i−4i0000000000000000000000−2i2i000000000000
χ718-88000-82-4-240002-4-240000000000000000000−4i4i00000000000000000000002i−2i000000000000
χ728-88000-8-424-2000-424-2000000000000000004i−4i0000000000000000000000−2i2i00000000000000
χ738-88000-8-424-2000-424-200000000000000000−4i4i00000000000000000000002i−2i00000000000000
χ7416-16-800084-8-48000-242-4000000000000000000000000000000000000000000000000000000000
χ7516-16-80008-848-40004-2-42000000000000000000000000000000000000000000000000000000000

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