Finite Group Databasebeta

← Group #10594396

Character table — Group #10594396

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order122233666666344466612121212224444441212121212121212121244446612121212121222441212121244
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-111111111111-11-111-1-1-1-111-1-1-1-11-1-11-1-1
χ311111111111111111111111-1-111-1-1111111111111-11-11-1-11111-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-111111-1-11111-1-111-1-1-11-1-111-1-1-1-11-1111111-1-111-1-11-1-1-11-1
χ611111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-111111-1-1-1-1-1-1-1-111111-1-11
χ711111111111111-1-111111-1-1-1-1111111-1-1-11-1-111-1-11-1-1-1-1-1111111-1-111-1-1-11-11
χ811111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-111-11-1-1-1-1-1-11111-1-1-11111-1
χ91111111111111-11-1111-1-111111111-1-1-11-1-1-1-1-1-111-11-1-11111-1-11111-1-1-11-1-1-11
χ101111111111111-11-1111-1-11111-1-11111-11-1-1-1-1-1-111-1-1-1111-1-11111-1-111-1-11-11-1
χ111111111111111-11-1111-1-111-1-111-1-1-1-1-11-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111-111-1
χ121111111111111-11-1111-1-111-1-1-1-1-1-111-11-1-1-1-1-1-1111-111-1-1-1-111-1-111-1-11-111-11
χ131111111111111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1
χ141111111111111-1-11111-1-1-1-111-1-1-1-1111-11-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-1111
χ151111111111111-1-11111-1-1-1-1-1-11111-1-11-11-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-111
χ161111111111111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1
χ1722222-1-12-122-1-1222-1-1-122-1-122002200-122-1-1-1-1-1-1-12020-1-10000-1-10000-100-100
χ1822222-1-12-122-1-1222-1-1-122-1-1-2-200-2-200-122-1-1-1-1-1-1-1-20-20110000110000100100
χ1922222-1-12-122-1-12-2-2-1-1-122112200-2-2001-2-2-111-1-111-2020-1-10000110000-100100
χ2022222-1-12-122-1-12-2-2-1-1-12211-2-20022001-2-2-111-1-11120-20110000-1-10000100-100
χ2122222-1-12-122-1-1-22-2-1-1-1-2-2-1-12200220012-211111-1-1-20-20-1-10000-1-10000100100
χ2222222-1-12-122-1-1-22-2-1-1-1-2-2-1-1-2-200-2-20012-211111-1-12020110000110000-100-100
χ2322222-1-12-122-1-1-2-22-1-1-1-2-2112200-2-200-1-221-1-1111120-20-1-10000110000100-100
χ2422222-1-12-122-1-1-2-22-1-1-1-2-211-2-2002200-1-221-1-11111-2020110000-1-10000-100100
χ252222-122-12-1-12-1222-1-1-1-1-122002200222-1-12-1-1-1-1-1-1020200-1-1-1-10000000-1-1000
χ262222-122-12-1-12-1222-1-1-1-1-12200-2-200-2-22-1-12-1-1-1-1-1-10-20-2001111000000011000
χ272222-122-12-1-12-12-2-2-1-1-1-1-1-2-200220022-211211-1-1110-20-200-1-1-1-1000000011000
χ282222-122-12-1-12-12-2-2-1-1-1-1-1-2-200-2-200-2-2-211211-1-11102020011110000000-1-1000
χ292222-122-12-1-12-1-22-2-1-1-11122002200-2-2-2-11-21111-1-1020-200-1-1110000000-11000
χ302222-122-12-1-12-1-22-2-1-1-1112200-2-20022-2-11-21111-1-10-2020011-1-100000001-1000
χ312222-122-12-1-12-1-2-22-1-1-111-2-2002200-2-221-1-2-1-111110-20200-1-11100000001-1000
χ322222-122-12-1-12-1-2-22-1-1-111-2-200-2-2002221-1-2-1-11111020-20011-1-10000000-11000
χ3322-2-22222-2-2-2-220002-2-200002-22-20000000000000000002-22-200002-200000000
χ3422-2-22222-2-2-2-220002-2-200002-2-220000000000000000002-2-220000-2200000000
χ3522-2-22222-2-2-2-220002-2-20000-222-2000000000000000000-222-20000-2200000000
χ3622-2-22222-2-2-2-220002-2-20000-22-22000000000000000000-22-2200002-200000000
χ372-22-222-2-2-22-222000-2-22000000002-22i−2i0000000000000000002i−2i2-2002i−2i000000
χ382-22-222-2-2-22-222000-2-22000000002-2−2i2i000000000000000000−2i2i2-200−2i2i000000
χ392-22-222-2-2-22-222000-2-2200000000-222i−2i0000000000000000002i−2i-2200−2i2i000000
χ402-22-222-2-2-22-222000-2-2200000000-22−2i2i000000000000000000−2i2i-22002i−2i000000
χ414444-2-2-2-2-2-2-2-21444111-2-2-2-200000000-2-2-2-21111110000000000000000000000
χ424444-2-2-2-2-2-2-2-214-4-4111-2-22200000000222-2-1-111-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-21-44-411122-2-2000000002-222-1-1-1-1110000000000000000000000
χ444444-2-2-2-2-2-2-2-21-4-44111222200000000-22-2211-1-1-1-10000000000000000000000
χ4544-4-44-2-242-4-42-2000-22200004-400000000000000000000-220000000000000000
χ4644-4-44-2-242-4-42-2000-2220000-44000000000000000000002-20000000000000000
χ4744-4-4-244-2-422-4-2000-2220000004-400000000000000000000-2200000000000000
χ4844-4-4-244-2-422-4-2000-222000000-44000000000000000000002-200000000000000
χ494-44-44-22-424-4-2-200022-2000000004-40000000000000000000000-220000000000
χ504-44-44-22-424-4-2-200022-200000000-4400000000000000000000002-20000000000
χ514-44-4-24-42-4-224-200022-200000000004i−4i000000000000000000−2i2i000000000000
χ524-44-4-24-42-4-224-200022-20000000000−4i4i0000000000000000002i−2i000000000000
χ534-4-4444-4-44-44-44000-44-400000000000000000000000000000000000000000000
χ544-4-444-22-4-2-442-20002-220023−23000000000000000023−230000000000000000000000
χ554-4-444-22-4-2-442-20002-2200−23230000000000000000−23230000000000000000000000
χ564-4-44-24-4242-2-4-20002-2223−23000000000000000023−23000000000000000000000000
χ574-4-44-24-4242-2-4-20002-22−23230000000000000000−2323000000000000000000000000
χ584-4-44-2-222-22-221000-11-123−2323−230000000000003-3−33−330000000000000000000000
χ594-4-44-2-222-22-221000-11-123−23−2323000000000000-33−333−30000000000000000000000
χ604-4-44-2-222-22-221000-11-1−232323−23000000000000-333−3−330000000000000000000000
χ614-4-44-2-222-22-221000-11-1−2323−23230000000000003-33−33−30000000000000000000000
χ6288-8-8-4-4-4-4444420002-2-200000000000000000000000000000000000000000000
χ638-88-8-4-4444-44-42000-2-2200000000000000000000000000000000000000000000

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