Finite Group Databasebeta

← Group #10594381

Character table — Group #10594381

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order12223344666666344666121212121212121222224444121212121212121212121212244466666612121212441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111-11111-1-1-1-1-1-111-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111-1-111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1111111-1-111-1-1-1-1-111
χ6111111111111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1
χ7111111111111111-1-111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1
χ8111111111111111-1-111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-111
χ9111111-1-111111111-1111-1-111-1-1-1-111-1-1111111111-1-1-111-1-1-1-11-1-1-111-1-1-1-111111-1-11-1
χ10111111-1-111111111-1111-1-111-1-1-1-111-1-111-1-111111-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-111-11
χ11111111-1-111111111-1111-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-1-111-1-1-1-1-1111111-1-11-11-11
χ12111111-1-111111111-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-111-1111-1-11111-1-111-11-11-1
χ13111111-1-11111111-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11-1-1-1-111-11-11-1-111-1-11111-1-1-1111-1
χ14111111-1-11111111-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-11111-1-111-1-1111-1-1-11
χ15111111-1-11111111-11111-1-1-1-111-1-1-1-11111111111-11-1-1-1-111-1-1-11-1-1-1-111-1-11111-11-1-11
χ16111111-1-11111111-11111-1-1-1-111-1-1-1-11111-1-11111-11-1-1-1-1111-11-111-1-111-1-1-1-1-1-11-111-1
χ1722222-1222-12-1-12-122-1-1-1-1-1-1-1-1-12222222200-1-1-1-122-1-1-1-1-1-1020000-1-1-1-1-1-1000000000
χ1822222-1222-12-1-12-122-1-1-1-1-1-1-1-1-122-2-2-2-2-2-200111122-1-1-1-1-1-10-20000111111000000000
χ1922222-1222-12-1-12-1-2-2-1-1-1-1-11111222222-2-2001111-2-2-1-111110-20000-1-1-1-111000000000
χ2022222-1222-12-1-12-1-2-2-1-1-1-1-1111122-2-2-2-22200-1-1-1-1-2-2-1-111110200001111-1-1000000000
χ2122222-1-2-22-12-1-12-12-2-1-1-111-1-111-2-222-2-22200-1-1-1-12-211-1-1110-20000-1-11111000000000
χ2222222-1-2-22-12-1-12-12-2-1-1-111-1-111-2-2-2-222-2-20011112-211-1-11102000011-1-1-1-1000000000
χ2322222-1-2-22-12-1-12-1-22-1-1-11111-1-1-2-222-2-2-2-2001111-221111-1-1020000-1-111-1-1000000000
χ2422222-1-2-22-12-1-12-1-22-1-1-11111-1-1-2-2-2-2222200-1-1-1-1-221111-1-10-2000011-1-111000000000
χ252222-1222-12-122-1-122-1-1-1222222-1-1000000220000-1-1-1-1-1-1-1-12022-1-1000000-1-100-1-1000
χ262222-1222-12-122-1-122-1-1-1222222-1-1000000-2-20000-1-1-1-1-1-1-1-1-20-2-211000000110011000
χ272222-1222-12-122-1-1-2-2-1-1-122-2-2-2-2-1-100000022000011-1-1111120-2-2-1-1000000-1-10011000
χ282222-1222-12-122-1-1-2-2-1-1-122-2-2-2-2-1-1000000-2-2000011-1-11111-2022110000001100-1-1000
χ292222-12-2-2-12-122-1-12-2-1-1-1-2-222-2-211000000220000-1111-1-111-202-211000000-1-100-11000
χ302222-12-2-2-12-122-1-12-2-1-1-1-2-222-2-211000000-2-20000-1111-1-11120-22-1-100000011001-1000
χ312222-12-2-2-12-122-1-1-22-1-1-1-2-2-2-222110000002200001-11111-1-1-20-2211000000-1-1001-1000
χ322222-12-2-2-12-122-1-1-22-1-1-1-2-2-2-22211000000-2-200001-11111-1-1202-2-1-10000001100-11000
χ332-22-22200-2-22-22-2200-2-220000000000002-22i−2i22-2-2000000000000000000002i−2i2i−2i00000
χ342-22-22200-2-22-22-2200-2-220000000000002-2−2i2i22-2-200000000000000000000−2i2i−2i2i00000
χ352-22-22200-2-22-22-2200-2-22000000000000-222i−2i-2-222000000000000000000002i−2i−2i2i00000
χ362-22-22200-2-22-22-2200-2-22000000000000-22−2i2i-2-22200000000000000000000−2i2i2i−2i00000
χ372-2-22222-2-22-2-2-22200-22-22-200002-22-22-200000000002-200000000002-22-200000000000
χ382-2-22222-2-22-2-2-22200-22-22-200002-2-22-2200000000002-20000000000-22-2200000000000
χ392-2-2222-22-22-2-2-22200-22-2-220000-222-2-220000000000-2200000000002-2-2200000000000
χ402-2-2222-22-22-2-2-22200-22-2-220000-22-222-20000000000-220000000000-222-200000000000
χ412-2-222-12-2-2-1-2112-1001-11-113−33−32-22-22-200003−33−300-113−33−3000000-11-113−3000000000
χ422-2-222-12-2-2-1-2112-1001-11-113−33−32-2-22-220000−33−3300-113−33−30000001-11-1−33000000000
χ432-2-222-12-2-2-1-2112-1001-11-11−33−332-22-22-20000−33−3300-11−33−33000000-11-11−33000000000
χ442-2-222-12-2-2-1-2112-1001-11-11−33−332-2-22-2200003−33−300-11−33−330000001-11-13−3000000000
χ452-2-222-1-22-2-1-2112-1001-111-13−3−33-222-2-2200003−33−3001-13−3−33000000-111-1−33000000000
χ462-2-222-1-22-2-1-2112-1001-111-13−3−33-22-222-20000−33−33001-13−3−330000001-1-113−3000000000
χ472-2-222-1-22-2-1-2112-1001-111-1−333−3-222-2-220000−33−33001-1−333−3000000-111-13−3000000000
χ482-2-222-1-22-2-1-2112-1001-111-1−333−3-22-222-200003−33−3001-1−333−30000001-1-11−33000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-20000000000002211-1-1-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-411122-2-22222000000000000-22-1-111-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-441112222-2-2220000000000002-2-1-1-1-111000000000000000000000
χ5344-4-444004-4-44-4-44004-4-40000000000000000000000000000000000000000000000000
χ5444-4-44-20042-4-22-4-200-222000000000000000023−23−232300000000000000000000000000000
χ5544-4-44-20042-4-22-4-200-2220000000000000000−232323−2300000000000000000000000000000
χ5644-4-4-2400-2-424-42-200-22200000000000000000000000000000000−2i32i3000000000000000
χ5744-4-4-2400-2-424-42-200-222000000000000000000000000000000002i3−2i3000000000000000
χ584-44-44-200-4242-2-4-20022-20000000000004-400-2-22200000000000000000000000000000
χ594-44-44-200-4242-2-4-20022-2000000000000-440022-2-200000000000000000000000000000
χ604-44-4-24002-4-2-442-20022-2000000000000004i−4i000000000000000000000000−2i2i0000000
χ614-44-4-24002-4-2-442-20022-200000000000000−4i4i0000000000000000000000002i−2i0000000
χ624-4-44-244-4242-4-4-2-2002-224-40000-2200000000000000-220000000000000000000000000
χ634-4-44-24-44242-4-4-2-2002-22-4400002-2000000000000002-20000000000000000000000000
χ644-4-44-2-24-42-2222-2100-11-1-2223−2323−23-22000000000000001-1−33−33000000000000000000000
χ654-4-44-2-24-42-2222-2100-11-1-22−2323−2323-22000000000000001-13−33−3000000000000000000000
χ664-4-44-2-2-442-2222-2100-11-12-223−23−23232-200000000000000-11−333−3000000000000000000000
χ674-4-44-2-2-442-2222-2100-11-12-2−232323−232-200000000000000-113−3−33000000000000000000000
χ6888-8-8-4-400-444-4442002-2-20000000000000000000000000000000000000000000000000
χ698-88-8-4-40044-44-44200-2-220000000000000000000000000000000000000000000000000

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