Finite Group Databasebeta

← Group #10595120

Character table — Group #10595120

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order1222223366666623466666664444666666121212124444441212121212121212444444121212124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111111111-11-11-11-1-1-1-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ511111111111111-11-111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-11
χ611111111111111-11-1111111111-1-1-1-111-1-1-1-1-1-11-1-11-111111-1-1-1-111-1-111-1-111-1
χ711111111111111-11-11111111-1-111-1-111-1-1-1-1-1-1-111-11-1-1-1-1-1111111-1-11111-1-1-1
χ811111111111111-11-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ91111-1-11111111111-1-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111111-11-1-1
χ101111-1-11111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-11-1-111
χ111111-1-11111111111-1-1-1-1-1111-1-11111-1-111-1-1-1-11-1-111-1-1-11111-1-111-1-1-1-1-111-11
χ121111-1-11111111111-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-11-11-1
χ131111-1-111111111-111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-11-11-1
χ141111-1-111111111-111-1-1-1-111111-1-1-1-1-1-1-1-11111-11-111-111-1-1-1-111-1-1-1-111-111-11
χ151111-1-111111111-111-1-1-1-1111-1-111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-1-1-1111-1-111
χ161111-1-111111111-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-11-11-1-1
χ172222222-122-1-12-12-1222-1-1-1-1-100222-1-1-1-1-12-1-1-10202020000-1-1-1-100000000-1-10
χ182222222-122-1-12-12-1222-1-1-1-1-100-2-22-1-1-1-1-12-1-1-10-20-20-20000111100000000110
χ192222222-122-1-12-1-2-1-222-1-1-1-1-10022-21-1-111-2111020-20-20000-1-1-1-100000000110
χ202222222-122-1-12-1-2-1-222-1-1-1-1-100-2-2-21-1-111-21110-202020000111100000000-1-10
χ21222222-12-1-122-122-12-1-122-1-1-12200-12-1-1-1-1-12-1-1202020-1-1-1-10000000000-1-1000
χ22222222-12-1-122-122-12-1-122-1-1-1-2-200-12-1-1-1-1-12-1-1-20-20-201111000000000011000
χ23222222-12-1-122-12-2-1-2-1-122-1-1-122001-2-1-1111-21120-20-20-1-1-1-1000000000011000
χ24222222-12-1-122-12-2-1-2-1-122-1-1-1-2-2001-2-1-1111-211-20202011110000000000-1-1000
χ252222-2-22-122-1-12-12-1-2-2-211-1-1-100222-111-1-1-21110-2020-20000-1-11100000000-110
χ262222-2-22-122-1-12-12-1-2-2-211-1-1-100-2-22-111-1-1-2111020-202000011-1-1000000001-10
χ272222-2-22-122-1-12-1-2-12-2-211-1-1-10022-2111112-1-1-10-20-2020000-1-111000000001-10
χ282222-2-22-122-1-12-1-2-12-2-211-1-1-100-2-2-2111112-1-1-102020-2000011-1-100000000-110
χ292222-2-2-12-1-122-122-1-211-2-2-1-1-12200-1211-1-11-211-2020-20-1-1110000000000-11000
χ302222-2-2-12-1-122-122-1-211-2-2-1-1-1-2-200-1211-1-11-21120-202011-1-100000000001-1000
χ312222-2-2-12-1-122-12-2-1211-2-2-1-1-122001-21111-12-1-1-20-2020-1-11100000000001-1000
χ322222-2-2-12-1-122-12-2-1211-2-2-1-1-1-2-2001-21111-12-1-12020-2011-1-10000000000-11000
χ3322-2-22-222-2-2-2-2220202-22-2-2-220000002-2000000000000000000002i−2i002i−2i00000
χ3422-2-22-222-2-2-2-2220202-22-2-2-220000002-200000000000000000000−2i2i00−2i2i00000
χ3522-2-2-2222-2-2-2-222020-22-22-2-22000000-22000000000000000000002i−2i00−2i2i00000
χ3622-2-2-2222-2-2-2-222020-22-22-2-22000000-2200000000000000000000−2i2i002i−2i00000
χ372-2-2200222-22-2-2-202000002-2-22i−2i2i−2i00000000000000002i−2i002i−2i00002-20000000
χ382-2-2200222-22-2-2-202000002-2-22i−2i−2i2i00000000000000002i−2i00−2i2i0000-220000000
χ392-2-2200222-22-2-2-202000002-2-2−2i2i2i−2i0000000000000000−2i2i002i−2i0000-220000000
χ402-2-2200222-22-2-2-202000002-2-2−2i2i−2i2i0000000000000000−2i2i00−2i2i00002-20000000
χ41444444-2-2-2-2-2-2-2-2414-2-2-2-21110000-2-21111-2-2110000000000000000000000000
χ42444444-2-2-2-2-2-2-2-2-41-4-2-2-2-211100002211-1-122-1-10000000000000000000000000
χ434444-4-4-2-2-2-2-2-2-2-241-422221110000-2-2-1-11122-1-10000000000000000000000000
χ444444-4-4-2-2-2-2-2-2-2-2-4142222111000022-1-1-1-1-2-2110000000000000000000000000
χ4544-4-44-44-2-4-4224-20-204-4-2222-2000000-220000000000000000000000000000000
χ4644-4-44-4-2422-4-4-240-20-224-422-2000000-220000000000000000000000000000000
χ4744-4-44-4-2-22222-2-2010-22-22-1-110000001-13-3003-30000000000000000000000000
χ4844-4-44-4-2-22222-2-2010-22-22-1-110000001-1-3300-330000000000000000000000000
χ4944-4-4-444-2-4-4224-20-20-442-222-20000002-20000000000000000000000000000000
χ5044-4-4-44-2422-4-4-240-202-2-4422-20000002-20000000000000000000000000000000
χ5144-4-4-44-2-22222-2-20102-22-2-1-11000000-113-300-330000000000000000000000000
χ5244-4-4-44-2-22222-2-20102-22-2-1-11000000-11-33003-30000000000000000000000000
χ534-44-40044-44-44-4-40400000-44-4000000000000000000000000000000000000000
χ544-44-4004-2-442-2-420-2000002-220000000000000000000000000023−2300000000000
χ554-44-4004-2-442-2-420-2000002-2200000000000000000000000000−232300000000000
χ564-44-400-242-2-442-40-2000002-22000000000000000000000023−23000000000000000
χ574-44-400-242-2-442-40-2000002-220000000000000000000000−2323000000000000000
χ584-4-44004-24-4-22-420-200000-222004i−4i00000000000000000000−2i2i0000000000000
χ594-4-44004-24-4-22-420-200000-22200−4i4i000000000000000000002i−2i0000000000000
χ604-4-4400-24-224-42-40-200000-2224i−4i000000000000000000−2i2i00000000000000000
χ614-4-4400-24-224-42-40-200000-222−4i4i0000000000000000002i−2i00000000000000000
χ628-88-800-4-44-44-4440200000-22-2000000000000000000000000000000000000000
χ638-8-8800-4-4-44-444402000002-2-2000000000000000000000000000000000000000

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