Finite Group Databasebeta

← Group #10595363

Character table — Group #10595363

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444444466666666888888888899991212121212121212121212121818242424243636
order122233446666663446661212121244444444121212121212121212124444224412121212121212122266121222
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ5111111111111111-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ9111111-1-111111111-1111-1-1-1-111-1-111-1-11-11-1-1-111-1-111111-11-111-1-111-1-1-1-11-11-11-1
χ10111111-1-111111111-1111-1-1-1-111-1-1-1-1111-11-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-111111-1-11-11
χ11111111-1-111111111-1111-1-1-1-1-1-11111-1-11-11-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111-111-1-11
χ12111111-1-111111111-1111-1-1-1-1-1-111-1-1111-11-1-1-111-1-11111-11-11-1-111-1-111-1-1-11-111-1
χ13111111-1-11111111-11111-1-1-1-111-1-111-1-1-11-11-1-1-1-1111111-11-1111-1-111-1-1-1-1-11-11-11
χ14111111-1-11111111-11111-1-1-1-111-1-1-1-111-11-11-1-1-1-111-1-1-1-1-111-111-1-1-1-11111-111-11-1
χ15111111-1-11111111-11111-1-1-1-1-1-11111-1-1-11-11-1-1-1-111-1-1-1-11-1-11-1-11111-1-1111-1-111-1
χ16111111-1-11111111-11111-1-1-1-1-1-111-1-111-11-11-1-1-1-11111111-11-1-1-111-1-111-1-11-11-1-11
χ1722222-12222-1-1-12-122-1-1-1-1-12222220000-1-122-1-1-1-1-1-100002200-1-1-1-1000000-1-10000
χ1822222-12222-1-1-12-122-1-1-1-1-122-2-2-2-20000-1-122-1-1-1-1-1-10000-2-2001111000000110000
χ1922222-12222-1-1-12-1-2-2-1-1-1-1-1222222000011-2-2-1-111110000-2-200-1-1-1-1000000110000
χ2022222-12222-1-1-12-1-2-2-1-1-1-1-122-2-2-2-2000011-2-2-1-11111000022001111000000-1-10000
χ2122222-1-2-222-1-1-12-12-2-1-1-111-2-222-2-20000-112-211-1-11100002-200-1-111000000-110000
χ2222222-1-2-222-1-1-12-12-2-1-1-111-2-2-2-2220000-112-211-1-1110000-220011-1-10000001-10000
χ2322222-1-2-222-1-1-12-1-22-1-1-111-2-222-2-200001-1-221111-1-10000-2200-1-1110000001-10000
χ2422222-1-2-222-1-1-12-1-22-1-1-111-2-2-2-22200001-1-221111-1-100002-20011-1-1000000-110000
χ252222-1222-1-1222-1-122-1-1-122-1-10000222222-1-1-1-1-1-1-1-1000000220000-1-1-1-10000-1-100
χ262222-1222-1-1222-1-122-1-1-122-1-10000-2-2-2-222-1-1-1-1-1-1-1-1000000-2-20000111100001100
χ272222-1222-1-1222-1-1-2-2-1-1-122-1-100002222-2-211-1-11111000000-2-20000-1-1-1-100001100
χ282222-1222-1-1222-1-1-2-2-1-1-122-1-10000-2-2-2-2-2-211-1-1111100000022000011110000-1-100
χ292222-12-2-2-1-1222-1-12-2-1-1-1-2-211000022-2-22-2-1111-1-1110000002-20000-1-1110000-1100
χ302222-12-2-2-1-1222-1-12-2-1-1-1-2-2110000-2-2222-2-1111-1-111000000-22000011-1-100001-100
χ312222-12-2-2-1-1222-1-1-22-1-1-1-2-211000022-2-2-221-11111-1-1000000-220000-1-11100001-100
χ322222-12-2-2-1-1222-1-1-22-1-1-1-2-2110000-2-222-221-11111-1-10000002-2000011-1-10000-1100
χ3322-2-222002-22-2-2-22002-2-20000002i−2i002-200000000002i2i−2i−2i0000002i−2i002-200000000
χ3422-2-222002-22-2-2-22002-2-20000002i−2i00-220000000000−2i−2i2i2i0000002i−2i00-2200000000
χ3522-2-222002-22-2-2-22002-2-2000000−2i2i002-20000000000−2i−2i2i2i000000−2i2i002-200000000
χ3622-2-222002-22-2-2-22002-2-2000000−2i2i00-2200000000002i2i−2i−2i000000−2i2i00-2200000000
χ372-22-22200-22-22-2-2200-22-200002i−2i002-20000000000002i−2i2i−2i00002i−2i002-20000000000
χ382-22-22200-22-22-2-2200-22-200002i−2i00-22000000000000−2i2i−2i2i00002i−2i00-220000000000
χ392-22-22200-22-22-2-2200-22-20000−2i2i002-2000000000000−2i2i−2i2i0000−2i2i002-20000000000
χ402-22-22200-22-22-2-2200-22-20000−2i2i00-220000000000002i−2i2i−2i0000−2i2i00-220000000000
χ412-2-22222-2-2-2-2-222200-2-222-22-20000000000002-200002-2-220000000000002-2000000
χ422-2-22222-2-2-2-2-222200-2-222-22-20000000000002-20000-222-2000000000000-22000000
χ432-2-2222-22-2-2-2-222200-2-22-22-22000000000000-2200002-2-22000000000000-22000000
χ442-2-2222-22-2-2-2-222200-2-22-22-22000000000000-220000-222-20000000000002-2000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-200000000-2-2-2-2111111000000000000000000000000
χ464444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200000000222211-1-1-1-1000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-214-4111222200000000-22-22-1-111-1-1000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-21-441112222000000002-22-2-1-1-1-111000000000000000000000000
χ4944-4-44-2004-4-222-4-200-2220000004i−4i000000000000000000000000−2i2i000000000000
χ5044-4-44-2004-4-222-4-200-222000000−4i4i0000000000000000000000002i−2i000000000000
χ5144-4-4-2400-224-4-42-200-22200000000004-4000000000000000000000000-2200000000
χ5244-4-4-2400-224-4-42-200-2220000000000-440000000000000000000000002-200000000
χ534-44-44-200-442-22-4-2002-2200004i−4i000000000000000000000000−2i2i00000000000000
χ544-44-44-200-442-22-4-2002-220000−4i4i0000000000000000000000002i−2i00000000000000
χ554-44-4-24002-2-44-42-2002-22000000004-4000000000000000000000000-220000000000
χ564-44-4-24002-2-44-42-2002-2200000000-440000000000000000000000002-20000000000
χ574-4-444-24-4-4-422-24-20022-2-224-4000000000000-220000000000000000000000000000
χ584-4-444-2-44-4-422-24-20022-22-2-440000000000002-20000000000000000000000000000
χ594-4-44-244-422-4-44-2-20022-24-4-22000000000000-220000000000000000000000000000
χ604-4-44-24-4422-4-44-2-20022-2-442-20000000000002-20000000000000000000000000000
χ614-4-44-2-24-42222-2-2100-1-11-22-220000000000001-13-33-3000000000000000000000000
χ624-4-44-2-24-42222-2-2100-1-11-22-220000000000001-1-33-33000000000000000000000000
χ634-4-44-2-2-442222-2-2100-1-112-22-2000000000000-113-3-33000000000000000000000000
χ644-4-44-2-2-442222-2-2100-1-112-22-2000000000000-11-333-3000000000000000000000000
χ6588-8-8-4-400-44-44442002-2-20000000000000000000000000000000000000000000000
χ668-88-8-4-4004-44-444200-22-20000000000000000000000000000000000000000000000

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