Finite Group Databasebeta

← Group #10594165

Character table — Group #10594165

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order1222336666662344666121212124444444466661212121212124444121212121212121222221212121224
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-111111111111-11-111-1-111-1-1-1-1-1-11-11-1-1-1
χ311111111111111111111111-1-111-1-1111111111111-11-11-1-111-1-111-1-1-1-1-11-11-1-1
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
χ511111111111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ611111111111111-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-111-111-1-1-1-1111111-111-1-1-1
χ711111111111111-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-1-11-1-11111-1-111111-1-11-1-1
χ811111111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ9111111111111-111-111111-1-1111111-1-1-1-1-1-11-111-1-1-11-1-1111111-1-111-1-1-11-1-1-11
χ10111111111111-111-111111-1-111-1-11111-1-1-1-11-111-1-1-1-1-1111-1-11111-1-111-1-1-111-1
χ11111111111111-111-111111-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1111-1-1-111-1-1-1-1-1-111111-11-1
χ12111111111111-111-111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-11-111-1-1-1-1-1-11111-1-11-111-11
χ13111111111111-11-11111-1-1111111-1-111-1-1-1-1-11-1-1111-1-1-11111-1-111-1-1111-1-1-1-11
χ14111111111111-11-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1111-1-1-1-1-1-111-1-111-111-1
χ15111111111111-11-11111-1-111-1-1111111-1-1-1-1-11-1-111-1-11-1-1-111111111-1-1-1-11-11-1
χ16111111111111-11-11111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-111-1111-1-1-1-111-1-1-1-111-1111-11
χ1722222-122-1-12-12-122-1-1-122-1-1002200222-1-1-1-12-1-1-1-1020200-1-100-1-100000-10-100
χ1822222-122-1-12-12-122-1-1-122-1-100-2-200-2-22-1-1-1-12-1-1-1-10-20-2001100110000010100
χ1922222-122-1-12-12-1-2-2-1-1-1-2-211002200-2-22-1-1-11-211110-20200-1-100110000010-100
χ2022222-122-1-12-12-1-2-2-1-1-1-2-21100-2-200222-1-1-11-21111020-2001100-1-100000-10100
χ2122222-122-1-12-1-2-12-2-1-1-12211002200-2-2-2111-1-2-1-111020-200-1-1001100000-10100
χ2222222-122-1-12-1-2-12-2-1-1-1221100-2-20022-2111-1-2-1-1110-202001100-1-10000010-100
χ2322222-122-1-12-1-2-1-22-1-1-1-2-2-1-100220022-21111211-1-10-20-200-1-100-1-10000010100
χ2422222-122-1-12-1-2-1-22-1-1-1-2-2-1-100-2-200-2-2-21111211-1-102020011001100000-10-100
χ252222-12-1-122-122-122-1-1-1-1-12222002200-12-1-12-1-1-1-1-12020-1-100-1-1000000-10-1000
χ262222-12-1-122-122-122-1-1-1-1-122-2-200-2-200-12-1-12-1-1-1-1-1-20-20110011000000101000
χ272222-12-1-122-122-1-2-2-1-1-111-2-22200-2-200-12-1-1-211111-2020-1-1001100000010-1000
χ282222-12-1-122-122-1-2-2-1-1-111-2-2-2-2002200-12-1-1-21111120-201100-1-1000000-101000
χ292222-12-1-122-12-2-12-2-1-1-1-1-1-2-2220022001-21121-1-111-20-20-1-100-1-1000000101000
χ302222-12-1-122-12-2-12-2-1-1-1-1-1-2-2-2-200-2-2001-21121-1-1112020110011000000-10-1000
χ312222-12-1-122-12-2-1-22-1-1-111222200-2-2001-211-2-111-1-120-20-1-10011000000-101000
χ322222-12-1-122-12-2-1-22-1-1-11122-2-20022001-211-2-111-1-1-20201100-1-100000010-1000
χ3322-2-2222-22-2-2-20200-22-200002i−2i00002i−2i000000000000002i−2i00002i−2i002-2000000
χ3422-2-2222-22-2-2-20200-22-200002i−2i0000−2i2i000000000000002i−2i0000−2i2i00-22000000
χ3522-2-2222-22-2-2-20200-22-20000−2i2i00002i−2i00000000000000−2i2i00002i−2i00-22000000
χ3622-2-2222-22-2-2-20200-22-20000−2i2i0000−2i2i00000000000000−2i2i0000−2i2i002-2000000
χ372-22-222-22-22-2-20200-2-220000002i−2i2i−2i0000000000000000002i−2i2i−2i002-200000000
χ382-22-222-22-22-2-20200-2-220000002i−2i−2i2i0000000000000000002i−2i−2i2i00-2200000000
χ392-22-222-22-22-2-20200-2-22000000−2i2i2i−2i000000000000000000−2i2i2i−2i00-2200000000
χ402-22-222-22-22-2-20200-2-22000000−2i2i−2i2i000000000000000000−2i2i−2i2i002-200000000
χ414444-2-2-2-2-2-2-2-24144111-2-2-2-200000000-2-211-2-211110000000000000000000000
χ424444-2-2-2-2-2-2-2-241-4-4111222200000000-2-21122-1-1-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-2-414-4111-2-2220000000022-1-1-2211-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-2-41-4411122-2-20000000022-1-12-2-1-1110000000000000000000000
χ4544-4-44-24-4-22-420-2002-2200000000004i−4i00000000000000000000−2i2i0000000000
χ4644-4-44-24-4-22-420-2002-220000000000−4i4i000000000000000000002i−2i0000000000
χ4744-4-4-24-224-42-40-2002-2200004i−4i00000000000000000000−2i2i0000000000000000
χ4844-4-4-24-224-42-40-2002-220000−4i4i000000000000000000002i−2i0000000000000000
χ494-44-44-2-442-2-420-20022-20000004i−4i00000000000000000000−2i2i00000000000000
χ504-44-44-2-442-2-420-20022-2000000−4i4i000000000000000000002i−2i00000000000000
χ514-44-4-242-2-442-40-20022-2000000004i−4i00000000000000000000−2i2i000000000000
χ524-44-4-242-2-442-40-20022-200000000−4i4i000000000000000000002i−2i000000000000
χ534-4-4444-4-4-4-44404004-4-400000000000000000000000000000000000000000000
χ544-4-444-2-4-4224-20-200-2220023−23000000000000000023−230000000000000000000000
χ554-4-444-2-4-4224-20-200-22200−23230000000000000000−23230000000000000000000000
χ564-4-44-2422-4-4-240-200-22223−23000000000000000023−23000000000000000000000000
χ574-4-44-2422-4-4-240-200-222−23230000000000000000−2323000000000000000000000000
χ584-4-44-2-22222-2-201001-1-123−2323−2300000000003-300−33−330000000000000000000000
χ594-4-44-2-22222-2-201001-1-123−23−23230000000000-3300−333−30000000000000000000000
χ604-4-44-2-22222-2-201001-1-1−232323−230000000000-33003−3−330000000000000000000000
χ614-4-44-2-22222-2-201001-1-1−2323−232300000000003-3003−33−30000000000000000000000
χ6288-8-8-4-4-44-44440200-22-200000000000000000000000000000000000000000000
χ638-88-8-4-44-44-4440200-2-2200000000000000000000000000000000000000000000

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