Finite Group Databasebeta

← Group #10594489

Character table — Group #10594489

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order1222334466666634466612121212444412121212121212121212222444661212121212122244446612124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-111111111111-1-1-1-111-1-1-1-11-1-11-1-11111111111-1-1-1-1-1-1-1-11
χ6111111111111111-1-1111111111-1-1-1-1-1-111-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-111-1
χ7111111111111111-1-11111111-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-111111
χ9111111-1-111111111-1111-1-1-1-111111-11-1-1-111-1-1-11-1-11-1-1-11111-1-11111-1-11-11-1-1
χ10111111-1-111111111-1111-1-1-1-111-1-11-11-1-1-111-1-1-11-11-11-1-111-1-111-1-1-1-1111-1-111
χ11111111-1-111111111-1111-1-1-1-1-1-1111-11-1-1-111-1-11-11-11-111-1-111-1-1-1-1-1-111-111-11
χ12111111-1-111111111-1111-1-1-1-1-1-1-1-11-11-1-1-111-1-11-111-1111-1-1-1-1111111-1-1-11-11-1
χ13111111-1-11111111-11111-1-1-1-11111-11-11-1-1-1-111-1-11-1-11-1-11111-1-111-1-111-11-11-1
χ14111111-1-11111111-11111-1-1-1-111-1-1-11-11-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1-111-11
χ15111111-1-11111111-11111-1-1-1-1-1-111-11-11-1-1-1-11111-1-1-1111-1-111-1-1-1-111-1-11-1-111
χ16111111-1-11111111-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-111-1-1-1-11111-1-1111-11-1-1
χ1722222-122-12-1-122-122-1-1-122-1-12200-1-122-1-1-1-1-1-1222000-1-1-1-10000000000-1-1000
χ1822222-122-12-1-122-122-1-1-122-1-1-2-200-1-122-1-1-1-1-1-1-2-2-20001111000000000011000
χ1922222-122-12-1-122-1-2-2-1-1-122-1-1220011-2-2-1-111112-2-2000-1-1-1-1000000000011000
χ2022222-122-12-1-122-1-2-2-1-1-122-1-1-2-20011-2-2-1-11111-22200011110000000000-1-1000
χ2122222-1-2-2-12-1-122-12-2-1-1-1-2-2112200-112-211-1-111-22-200011-1-10000000000-11000
χ2222222-1-2-2-12-1-122-12-2-1-1-1-2-211-2-200-112-211-1-1112-22000-1-11100000000001-1000
χ2322222-1-2-2-12-1-122-1-22-1-1-1-2-21122001-1-221111-1-1-2-2200011-1-100000000001-1000
χ2422222-1-2-2-12-1-122-1-22-1-1-1-2-211-2-2001-1-221111-1-122-2000-1-1110000000000-11000
χ252222-12222-122-1-1-122-1-1-1-1-122002222-1-1-1-1-1-1-1-10002220000-1-1-1-100000000-1-10
χ262222-12222-122-1-1-122-1-1-1-1-12200-2-222-1-1-1-1-1-1-1-1000-2-2-20000111100000000110
χ272222-12222-122-1-1-1-2-2-1-1-1-1-1220022-2-211-1-111110002-2-20000-1-1-1-100000000110
χ282222-12222-122-1-1-1-2-2-1-1-1-1-12200-2-2-2-211-1-11111000-2220000111100000000-1-10
χ292222-12-2-22-122-1-1-12-2-1-1-111-2-200222-2-1111-1-111000-22-20000-1-11100000000-110
χ302222-12-2-22-122-1-1-12-2-1-1-111-2-200-2-22-2-1111-1-1110002-22000011-1-1000000001-10
χ312222-12-2-22-122-1-1-1-22-1-1-111-2-20022-221-11111-1-1000-2-220000-1-111000000001-10
χ322222-12-2-22-122-1-1-1-22-1-1-111-2-200-2-2-221-11111-1-100022-2000011-1-100000000-110
χ3322-2-222002-2-2-2-222002-2-200002i−2i2i−2i0000000000000000002i−2i2i−2i002-2000000000
χ3422-2-222002-2-2-2-222002-2-200002i−2i−2i2i0000000000000000002i−2i−2i2i00-22000000000
χ3522-2-222002-2-2-2-222002-2-20000−2i2i2i−2i000000000000000000−2i2i2i−2i00-22000000000
χ3622-2-222002-2-2-2-222002-2-20000−2i2i−2i2i000000000000000000−2i2i−2i2i002-2000000000
χ372-22-2222-2-22-22-2-2200-22-22-22-2000000002-2000000000000000000002i−2i2i−2i00000
χ382-22-2222-2-22-22-2-2200-22-22-22-2000000002-200000000000000000000−2i2i−2i2i00000
χ392-22-222-22-22-22-2-2200-22-2-22-2200000000-22000000000000000000002i−2i−2i2i00000
χ402-22-222-22-22-22-2-2200-22-2-22-2200000000-2200000000000000000000−2i2i2i−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
χ434444-2-2-4-4-2-2-2-2-2-214-411122220000-22-22-1-111-1-10000000000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-21-44111222200002-22-2-1-1-1-1110000000000000000000000000
χ4544-4-44-200-2-422-44-200-22200004i−4i00000000000000000000−2i2i000000000000000
χ4644-4-44-200-2-422-44-200-2220000−4i4i000000000000000000002i−2i000000000000000
χ4744-4-4-240042-4-42-2-200-2220000004i−4i00000000000000000000−2i2i0000000000000
χ4844-4-4-240042-4-42-2-200-222000000−4i4i000000000000000000002i−2i0000000000000
χ494-44-44-24-4242-2-4-4-2002-224-4-2200000000-2200000000000000000000000000000
χ504-44-44-2-44242-2-4-4-2002-22-442-2000000002-200000000000000000000000000000
χ514-44-4-244-4-4-2-4422-2002-22-224-400000000-2200000000000000000000000000000
χ524-44-4-24-44-4-2-4422-2002-222-2-44000000002-200000000000000000000000000000
χ534-44-4-2-24-42-22-222100-11-1-22-22000000001-13i−3i3i−3i0000000000000000000000000
χ544-44-4-2-24-42-22-222100-11-1-22-22000000001-1−3i3i−3i3i0000000000000000000000000
χ554-44-4-2-2-442-22-222100-11-12-22-200000000-113i−3i−3i3i0000000000000000000000000
χ564-44-4-2-2-442-22-222100-11-12-22-200000000-11−3i3i3i−3i0000000000000000000000000
χ574-4-444400-4-44-44-4400-4-440000000000000000000000000000000000000000000
χ584-4-444-2002-4-224-4-20022-2000000000000000000000000−2i32i300000000000000000
χ594-4-444-2002-4-224-4-20022-20000000000000000000000002i3−2i300000000000000000
χ604-4-44-2400-424-4-22-20022-200000000000000000000000000000023−2300000000000
χ614-4-44-2400-424-4-22-20022-2000000000000000000000000000000−232300000000000
χ6288-8-8-4-400-44444-42002-2-20000000000000000000000000000000000000000000
χ638-8-88-4-40044-44-44200-2-220000000000000000000000000000000000000000000

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