Finite Group Databasebeta

← Group #10594618

Character table — Group #10594618

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order122233446666663446661212121222221212121212121212121222224466661212121222224466664
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111111111-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111111111-1-111-11-1-111-1-111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11
χ6111111111111111-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-111-1
χ7111111111111111-1-11111111-1-111-1-1-1-111-1-1-1-111-1-1-11-1-111-1-1111111-1-111-1-1-1
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ9111111-1-111111111-1111-1-1-1-1111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-111-1-1111-11-1-1
χ10111111-1-111111111-1111-1-1-1-111-1-111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111-1-11-1-111
χ11111111-1-111111111-1111-1-1-1-1-1-11111-1-1-1-111-1-1-111-11-1-1-11111-1-1-1-111-1-1-111-11
χ12111111-1-111111111-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1111-1-1-1-1111111-1-111-11-11-1
χ13111111-1-11111111-11111-1-1-1-11111-1-111-1-1-1-111-11-11-1-11111-1-1-1-1-1-11111-11-11-1
χ14111111-1-11111111-11111-1-1-1-111-1-1-1-111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1-1-111-11
χ15111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-1111-1-111-1-1-11111-1-111-1-1-1-11-1-111
χ16111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-111-1-1-1-11111-1-111111-11-1-1
χ1722222-1222-12-12-1-122-1-1-122-1-100222-12-1-1-1-1-1-1-100220200-1-100-1-100000000-1-10
χ1822222-1222-12-12-1-122-1-1-122-1-100-2-22-12-1-1-1-1-1-1-100-2-20-20011001100000000110
χ1922222-1222-12-12-1-1-2-2-1-1-122-1-10022-21-21-1-1111100-2-20200-1-100-1-100000000110
χ2022222-1222-12-12-1-1-2-2-1-1-122-1-100-2-2-21-21-1-1111100220-20011001100000000-1-10
χ2122222-1-2-22-12-12-1-12-2-1-1-1-2-21100222-1-2111-1-111002-20-200-1-1001100000000-110
χ2222222-1-2-22-12-12-1-12-2-1-1-1-2-21100-2-22-1-2111-1-11100-2202001100-1-1000000001-10
χ2322222-1-2-22-12-12-1-1-22-1-1-1-2-2110022-212-11111-1-100-220-200-1-10011000000001-10
χ2422222-1-2-22-12-12-1-1-22-1-1-1-2-21100-2-2-212-11111-1-1002-202001100-1-100000000-110
χ252222-1222-12-12-12-122-1-1-1-1-1222200-12-12-1-1-1-1-1-1220020-1-100-1-100000000-1-1000
χ262222-1222-12-12-12-122-1-1-1-1-122-2-200-12-12-1-1-1-1-1-1-2-200-201100110000000011000
χ272222-1222-12-12-12-1-2-2-1-1-1-1-12222001-21-2-1-11111-2-20020-1-100-1-10000000011000
χ282222-1222-12-12-12-1-2-2-1-1-1-1-122-2-2001-21-2-1-111112200-2011001100000000-1-1000
χ292222-12-2-2-12-12-12-12-2-1-1-111-2-22200-121-211-1-1112-200-20-1-1001100000000-11000
χ302222-12-2-2-12-12-12-12-2-1-1-111-2-2-2-200-121-211-1-111-2200201100-1-1000000001-1000
χ312222-12-2-2-12-12-12-1-22-1-1-111-2-222001-2-121111-1-1-2200-20-1-10011000000001-1000
χ322222-12-2-2-12-12-12-1-22-1-1-111-2-2-2-2001-2-121111-1-12-200201100-1-100000000-11000
χ3322-2-2222-2-2-2-2-222200-22-22-22-2000000002-20000000000000000002-22-20000000
χ3422-2-2222-2-2-2-2-222200-22-22-22-2000000002-2000000000000000000-22-220000000
χ3522-2-222-22-2-2-2-222200-22-2-22-2200000000-220000000000000000002-2-220000000
χ3622-2-222-22-2-2-2-222200-22-2-22-2200000000-22000000000000000000-222-20000000
χ372-2-222200-2-222-2-2200-2-2200002-22-200000000000000002-22-2000000002-200000
χ382-2-222200-2-222-2-2200-2-2200002-2-2200000000000000002-2-2200000000-2200000
χ392-2-222200-2-222-2-2200-2-220000-222-20000000000000000-222-200000000-2200000
χ402-2-222200-2-222-2-2200-2-220000-22-220000000000000000-22-22000000002-200000
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
χ434444-2-2-4-4-2-2-2-2-2-214-411122220000-2-222-1-111-1-10000000000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-21-441112222000022-2-2-1-1-1-1110000000000000000000000000
χ4544-4-44-24-4-42-424-2-2002-224-4-2200000000-2200000000000000000000000000000
χ4644-4-44-2-44-42-424-2-2002-22-442-2000000002-200000000000000000000000000000
χ4744-4-4-244-42-42-4-24-2002-22-224-400000000-2200000000000000000000000000000
χ4844-4-4-24-442-42-4-24-2002-222-2-44000000002-200000000000000000000000000000
χ4944-4-4-2-24-42222-2-2100-11-1-22-22000000001-13i−3i3i−3i0000000000000000000000000
χ5044-4-4-2-24-42222-2-2100-11-1-22-22000000001-1−3i3i−3i3i0000000000000000000000000
χ5144-4-4-2-2-442222-2-2100-11-12-22-200000000-113i−3i−3i3i0000000000000000000000000
χ5244-4-4-2-2-442222-2-2100-11-12-22-200000000-11−3i3i3i−3i0000000000000000000000000
χ534-44-4440044-4-4-4-44004-4-40000000000000000000000000000000000000000000
χ544-44-44-2004-2-42-42-200-22200000000000000000000000000000023−2300000000000
χ554-44-44-2004-2-42-42-200-222000000000000000000000000000000−232300000000000
χ564-44-4-2400-242-42-4-200-222000000000000000000000000000023−230000000000000
χ574-44-4-2400-242-42-4-200-2220000000000000000000000000000−23230000000000000
χ584-4-444-200-424-2-42-20022-20000004-4000000000000000000-22000000000000000
χ594-4-444-200-424-2-42-20022-2000000-440000000000000000002-2000000000000000
χ604-4-44-24002-4-242-4-20022-200004-4000000000000000000-2200000000000000000
χ614-4-44-24002-4-242-4-20022-20000-440000000000000000002-200000000000000000
χ628-88-8-4-400-4-444442002-2-20000000000000000000000000000000000000000000
χ638-8-88-4-40044-4-444200-2-220000000000000000000000000000000000000000000

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