Finite Group Databasebeta

← Group #10594496

Character table — Group #10594496

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order122233446666663446661212121212121212444412121212121212121212121222222466666612121212664444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111-1
χ6111111111111111-1-11111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-11
χ7111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-11
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1-111-1
χ9111111-1-111111111-1111-1-1-1-111-1-111-1-111111-1-1-111-1-11-11-11-111-1-111-1-1-1-11-1-11-11
χ10111111-1-111111111-1111-1-1-1-111-1-111-1-111111-1-1-111-1-11-1-11-1111-1-1-1-1-1-111-111-11-1
χ11111111-1-111111111-1111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-1-111-11-1-1-1111111-1-11-11-11-1
χ12111111-1-111111111-1111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-1-11-11-11-1-111-1-11111-11-11-11
χ13111111-1-11111111-11111-1-1-1-1-1-11111-1-11111-11-1-1-1-111-111-1-11-1-111-1-1-1-1111-111-1-1
χ14111111-1-11111111-11111-1-1-1-1-1-11111-1-11111-11-1-1-1-111-11-111-1-1-11111-1-1-1-1-11-1-111
χ15111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111-11-1-1111-1-1-1-111111-1-1-111
χ16111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111-1-111-111-1-11111-1-1-1111-1-1
χ1722222-122-12-12-12-122-1-1-122-1-1222200000000-1-1-1-1-1-1-1-10022220000-1-100-1-1-1-10000
χ1822222-122-12-12-12-122-1-1-122-1-1222200000000-1-1-1-1-1-1-1-100-2-2-2-20000110011110000
χ1922222-122-12-12-12-1-2-2-1-1-122-1-1-2-2-2-20000000011-1-111110022-2-20000110011-1-10000
χ2022222-122-12-12-12-1-2-2-1-1-122-1-1-2-2-2-20000000011-1-1111100-2-2220000-1-100-1-1110000
χ2122222-1-2-2-12-12-12-12-2-1-1-1-2-21122-2-200000000-1111-1-111002-22-20000-1-10011-110000
χ2222222-1-2-2-12-12-12-12-2-1-1-1-2-21122-2-200000000-1111-1-11100-22-2200001100-1-11-10000
χ2322222-1-2-2-12-12-12-1-22-1-1-1-2-211-2-222000000001-11111-1-1002-2-2200001100-1-1-110000
χ2422222-1-2-2-12-12-12-1-22-1-1-1-2-211-2-222000000001-11111-1-100-222-20000-1-100111-10000
χ252222-12222-12-12-1-122-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1220000-1-1-1-100-1-100000000
χ262222-12222-12-12-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2111122-1-1-1-1-1-1-2-200001111001100000000
χ272222-12222-12-12-1-1-2-2-1-1-1-1-12211112222-1-1-1-1-2-2-1-11111-2-20000111100-1-100000000
χ282222-12222-12-12-1-1-2-2-1-1-1-1-1221111-2-2-2-21111-2-2-1-11111220000-1-1-1-1001100000000
χ292222-12-2-22-12-12-1-12-2-1-1-111-2-2-1-11122-2-2-1-1-1-12-211-1-1112-20000-1-111001100000000
χ302222-12-2-22-12-12-1-12-2-1-1-111-2-2-1-111-2-22211112-211-1-111-22000011-1-100-1-100000000
χ312222-12-2-22-12-12-1-1-22-1-1-111-2-211-1-122-2-2-1-1-1-1-221111-1-1-22000011-1-1001100000000
χ322222-12-2-22-12-12-1-1-22-1-1-111-2-211-1-1-2-2221111-221111-1-12-20000-1-11100-1-100000000
χ3322-2-2222-2-22-2-22-2200-22-22-22-200002i−2i2i−2i2i2i−2i−2i002-200000000000000002i−2i00000000
χ3422-2-2222-2-22-2-22-2200-22-22-22-20000−2i2i−2i2i−2i−2i2i2i002-20000000000000000−2i2i00000000
χ3522-2-222-22-22-2-22-2200-22-2-22-2200002i−2i−2i2i2i2i−2i−2i00-220000000000000000−2i2i00000000
χ3622-2-222-22-22-2-22-2200-22-2-22-220000−2i2i2i−2i−2i−2i2i2i00-2200000000000000002i−2i00000000
χ3722-2-2-122-2-2-1-2121-1001-11-112-23−33−32i−2i2i−2i−i−iii00-113−33−3000000−i3i3−i3i300−ii00000000
χ3822-2-2-122-2-2-1-2121-1001-11-112-23−33−3−2i2i−2i2iii−i−i00-113−33−3000000i3−i3i3−i300i−i00000000
χ3922-2-2-122-2-2-1-2121-1001-11-112-2−33−332i−2i2i−2i−i−iii00-11−33−33000000i3−i3i3−i300−ii00000000
χ4022-2-2-122-2-2-1-2121-1001-11-112-2−33−33−2i2i−2i2iii−i−i00-11−33−33000000−i3i3−i3i300i−i00000000
χ4122-2-2-12-22-2-1-2121-1001-111-1-223−3−332i−2i−2i2i−i−iii001-13−3−33000000−i3i3i3−i300i−i00000000
χ4222-2-2-12-22-2-1-2121-1001-111-1-223−3−33−2i2i2i−2iii−i−i001-13−3−33000000i3−i3−i3i300−ii00000000
χ4322-2-2-12-22-2-1-2121-1001-111-1-22−333−32i−2i−2i2i−i−iii001-1−333−3000000i3−i3−i3i300i−i00000000
χ4422-2-2-12-22-2-1-2121-1001-111-1-22−333−3−2i2i2i−2iii−i−i001-1−333−3000000−i3i3i3−i300−ii00000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200000000-2-21111110000000000000000000000
χ464444-2-244-2-2-2-2-2-21-4-4111-2-2-2-22222000000002211-1-1-1-10000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-214-41112222-2-22200000000-22-1-111-1-10000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-21-44111222222-2-2000000002-2-1-1-1-1110000000000000000000000
χ4944-4-44-24-4242-4-2-4-2002-224-4-2200000000000000-2200000000000000000000000000
χ5044-4-44-2-44242-4-2-4-2002-22-442-2000000000000002-200000000000000000000000000
χ5144-4-4-2-24-42-222-22100-11-1-22-2223−2323−2300000000001-1−33−330000000000000000000000
χ5244-4-4-2-24-42-222-22100-11-1-22-22−2323−232300000000001-13−33−30000000000000000000000
χ5344-4-4-2-2-442-222-22100-11-12-22-223−23−23230000000000-11−333−30000000000000000000000
χ5444-4-4-2-2-442-222-22100-11-12-22-2−232323−230000000000-113−3−330000000000000000000000
χ554-44-44400-4-44-4-44400-4-440000000000000000000000000000000000000000000000
χ564-44-44-2002-4-2-424-20022-20000000000000000000000000000000000−2i32i30000000000
χ574-44-44-2002-4-2-424-20022-200000000000000000000000000000000002i3−2i30000000000
χ584-44-4-2400-4242-4-2-20022-2000000000000−2i32i3−2i32i3000000000000000000000000000000
χ594-44-4-2400-4242-4-2-20022-20000000000002i3−2i32i3−2i3000000000000000000000000000000
χ604-4-4444004-4-44-4-44004-4-40000000000000000000000000000000000000000000000
χ614-4-444-200-2-4242-4-200-2220000000000000000000000000000000000000023−23000000
χ624-4-444-200-2-4242-4-200-22200000000000000000000000000000000000000−2323000000
χ634-4-44-240042-4-2-42-200-22200000000000023−23−2323000000000000000000000000000000
χ644-4-44-240042-4-2-42-200-222000000000000−232323−23000000000000000000000000000000
χ658-88-8-4-40044-444-4200-2-220000000000000000000000000000000000000000000000
χ668-8-88-4-400-444-4442002-2-20000000000000000000000000000000000000000000000

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