Finite Group Databasebeta

← Group #10595338

Character table — Group #10595338

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order12223344666666344666121212124444121212121212121212124444441212121212121212444444121212124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111111111-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11
χ6111111111111111-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1111-11111-1-1-1-1-1-11111-1-111-1
χ7111111111111111-1-11111111-1-111-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11111-1-1111111-1-1-1
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ9111111-1-111111111-1111-1-1-1-1111111-1-1-1-111-1-11-11-1-1-111-1-111-1-11111-1-11-11-1-1
χ10111111-1-111111111-1111-1-1-1-111-1-111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-1-1-1111-1-111
χ11111111-1-111111111-1111-1-1-1-1-1-11111-1-1-1-111-1-1-111-11-1-1-11111-1-1-1-1-1-111-111-11
χ12111111-1-111111111-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1111-1-111-1-1111111-1-1-11-11-1
χ13111111-1-11111111-11111-1-1-1-11111-1-111-1-1-1-111-11-11-1-111-1-111-1-111-1-111-11-11-1
χ14111111-1-11111111-11111-1-1-1-111-1-1-1-111-1-1-1-111-111-1-1111-1-1-1-111-1-111-1-1-111-11
χ15111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-1111-1-111-1-1-11111-1-1-1-111-1-11-1-111
χ16111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-111-1-111-1-11111-1-1111-11-1-1
χ1722222-12222-1-12-1-122-1-1-122-1-100222-12-1-1-1-1-1-1-10022020000-1-1-1-100000000-1-10
χ1822222-12222-1-12-1-122-1-1-122-1-100-2-22-12-1-1-1-1-1-1-100-2-20-20000111100000000110
χ1922222-12222-1-12-1-1-2-2-1-1-122-1-10022-21-21-1-1111100-2-2020000-1-1-1-100000000110
χ2022222-12222-1-12-1-1-2-2-1-1-122-1-100-2-2-21-21-1-1111100220-20000111100000000-1-10
χ2122222-1-2-222-1-12-1-12-2-1-1-1-2-21100222-1-2111-1-111002-20-20000-1-11100000000-110
χ2222222-1-2-222-1-12-1-12-2-1-1-1-2-21100-2-22-1-2111-1-11100-2202000011-1-1000000001-10
χ2322222-1-2-222-1-12-1-1-22-1-1-1-2-2110022-212-11111-1-100-220-20000-1-111000000001-10
χ2422222-1-2-222-1-12-1-1-22-1-1-1-2-21100-2-2-212-11111-1-1002-202000011-1-100000000-110
χ252222-1222-1-122-12-122-1-1-1-1-1222200-12-12-1-1-1-1-1-1220020-1-1-1-10000000000-1-1000
χ262222-1222-1-122-12-122-1-1-1-1-122-2-200-12-12-1-1-1-1-1-1-2-200-201111000000000011000
χ272222-1222-1-122-12-1-2-2-1-1-1-1-12222001-21-2-1-11111-2-20020-1-1-1-1000000000011000
χ282222-1222-1-122-12-1-2-2-1-1-1-1-122-2-2001-21-2-1-111112200-2011110000000000-1-1000
χ292222-12-2-2-1-122-12-12-2-1-1-111-2-22200-121-211-1-1112-200-20-1-1110000000000-11000
χ302222-12-2-2-1-122-12-12-2-1-1-111-2-2-2-200-121-211-1-111-22002011-1-100000000001-1000
χ312222-12-2-2-1-122-12-1-22-1-1-111-2-222001-2-121111-1-1-2200-20-1-11100000000001-1000
χ322222-12-2-2-1-122-12-1-22-1-1-111-2-2-2-2001-2-121111-1-12-2002011-1-10000000000-11000
χ3322-2-222002-22-2-2-22002-2-200002-22-200000000000000002-2002-2002-2000000000
χ3422-2-222002-22-2-2-22002-2-200002-2-2200000000000000002-200-2200-22000000000
χ3522-2-222002-22-2-2-22002-2-20000-222-20000000000000000-22002-200-22000000000
χ3622-2-222002-22-2-2-22002-2-20000-22-220000000000000000-2200-22002-2000000000
χ372-22-2222-2-2-2-2-222200-2-222-22-2000000002-2000000000000000000002i−2i2i−2i00000
χ382-22-2222-2-2-2-2-222200-2-222-22-2000000002-200000000000000000000−2i2i−2i2i00000
χ392-22-222-22-2-2-2-222200-2-22-22-2200000000-22000000000000000000002i−2i−2i2i00000
χ402-22-222-22-2-2-2-222200-2-22-22-2200000000-2200000000000000000000−2i2i2i−2i00000
χ414444-2-244-2-2-2-2-2-2144111-2-2-2-20000-2-2-2-21111110000000000000000000000000
χ424444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000222211-1-1-1-10000000000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-214-411122220000-2-222-1-111-1-10000000000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-21-441112222000022-2-2-1-1-1-1110000000000000000000000000
χ4544-4-44-2004-4-22-42-200-2220000004-400000000000000000000-220000000000000
χ4644-4-44-2004-4-22-42-200-222000000-44000000000000000000002-20000000000000
χ4744-4-4-2400-224-42-4-200-22200004-4000000000000000000-2200000000000000000
χ4844-4-4-2400-224-42-4-200-2220000-440000000000000000002-200000000000000000
χ494-44-44-24-4-4-4224-2-20022-24-4-2200000000-2200000000000000000000000000000
χ504-44-44-2-44-4-4224-2-20022-2-442-2000000002-200000000000000000000000000000
χ514-44-4-244-422-4-4-24-20022-2-224-400000000-2200000000000000000000000000000
χ524-44-4-24-4422-4-4-24-20022-22-2-44000000002-200000000000000000000000000000
χ534-44-4-2-24-42222-2-2100-1-11-22-22000000001-13-33-30000000000000000000000000
χ544-44-4-2-24-42222-2-2100-1-11-22-22000000001-1-33-330000000000000000000000000
χ554-44-4-2-2-442222-2-2100-1-112-22-200000000-113-3-330000000000000000000000000
χ564-44-4-2-2-442222-2-2100-1-112-22-200000000-11-333-30000000000000000000000000
χ574-4-444400-44-44-4-4400-44-40000000000000000000000000000000000000000000
χ584-4-444-200-442-2-42-2002-22000000000000000000000000000000−2i32i300000000000
χ594-4-444-200-442-2-42-2002-220000000000000000000000000000002i3−2i300000000000
χ604-4-44-24002-2-442-4-2002-2200000000000000000000000000−2i32i3000000000000000
χ614-4-44-24002-2-442-4-2002-22000000000000000000000000002i3−2i3000000000000000
χ6288-8-8-4-400-44-44442002-2-20000000000000000000000000000000000000000000
χ638-8-88-4-4004-44-444200-22-20000000000000000000000000000000000000000000

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