Finite Group Databasebeta

← Group #10595362

Character table — Group #10595362

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order1222334466666634466612121212444412121212121212121212222444661212121212122244446612124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111111111-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-111111111111-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11
χ6111111111111111-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-111-1
χ7111111111111111-1-11111111-1-111-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-111-1-1111111-1-1-1
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111
χ9111111-1-111111111-1111-1-1-1-111111-11-1-1-111-1-11-1-1-11-1-1-111-1-1111111-1-11-11-1-1
χ10111111-1-111111111-1111-1-1-1-111-1-11-11-1-1-111-1-11-11-1-111111-1-1-1-1-1-1-1-1111-1-111
χ11111111-1-111111111-1111-1-1-1-1-1-1111-11-1-1-111-1-1-11-111-1-1-1-1-11111-1-1-1-111-111-11
χ12111111-1-111111111-1111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1111-1111-1-111-1-11111-1-1-11-11-1
χ13111111-1-11111111-11111-1-1-1-11111-11-11-1-1-1-111-11-1-1-11-1-111-1-11111-1-111-11-11-1
χ14111111-1-11111111-11111-1-1-1-111-1-1-11-11-1-1-1-111-111-11-11111-1-1-1-1-1-111-1-1-111-11
χ15111111-1-11111111-11111-1-1-1-1-1-111-11-11-1-1-1-1111-1-11-11-1-1-1-11111-1-111-1-11-1-111
χ16111111-1-11111111-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111-1111-111-1-111-1-111-1-1111-11-1-1
χ1722222-1222-1-1-122-122-1-1-1-1-1222200-1-122-1-1-1-1-1-122020000-1-1-1-100000000-1-1000
χ1822222-1222-1-1-122-122-1-1-1-1-122-2-200-1-122-1-1-1-1-1-1-2-20-2000011110000000011000
χ1922222-1222-1-1-122-1-2-2-1-1-1-1-122220011-2-2-1-11111-2-2020000-1-1-1-10000000011000
χ2022222-1222-1-1-122-1-2-2-1-1-1-1-122-2-20011-2-2-1-11111220-20000111100000000-1-1000
χ2122222-1-2-22-1-1-122-12-2-1-1-111-2-22200-112-211-1-1112-20-20000-1-11100000000-11000
χ2222222-1-2-22-1-1-122-12-2-1-1-111-2-2-2-200-112-211-1-111-2202000011-1-1000000001-1000
χ2322222-1-2-22-1-1-122-1-22-1-1-111-2-222001-1-221111-1-1-220-20000-1-111000000001-1000
χ2422222-1-2-22-1-1-122-1-22-1-1-111-2-2-2-2001-1-221111-1-12-202000011-1-100000000-11000
χ252222-1222-1222-1-1-122-1-1-122-1-1002222-1-1-1-1-1-1-1-1002022-1-10000-1-100000000-1-10
χ262222-1222-1222-1-1-122-1-1-122-1-100-2-222-1-1-1-1-1-1-1-100-20-2-21100001100000000110
χ272222-1222-1222-1-1-1-2-2-1-1-122-1-10022-2-211-1-111110020-2-2-1-10000-1-100000000110
χ282222-1222-1222-1-1-1-2-2-1-1-122-1-100-2-2-2-211-1-1111100-20221100001100000000-1-10
χ292222-12-2-2-1222-1-1-12-2-1-1-1-2-21100222-2-1111-1-11100-202-2110000-1-100000000-110
χ302222-12-2-2-1222-1-1-12-2-1-1-1-2-21100-2-22-2-1111-1-1110020-22-1-1000011000000001-10
χ312222-12-2-2-1222-1-1-1-22-1-1-1-2-2110022-221-11111-1-100-20-22110000-1-1000000001-10
χ322222-12-2-2-1222-1-1-1-22-1-1-1-2-21100-2-2-221-11111-1-100202-2-1-100001100000000-110
χ332-22-22200-22-2-22-22002-2-200002i−2i2i−2i0000000000000000002i−2i002i−2i2-2000000000
χ342-22-22200-22-2-22-22002-2-200002i−2i−2i2i0000000000000000002i−2i00−2i2i-22000000000
χ352-22-22200-22-2-22-22002-2-20000−2i2i2i−2i000000000000000000−2i2i002i−2i-22000000000
χ362-22-22200-22-2-22-22002-2-20000−2i2i−2i2i000000000000000000−2i2i00−2i2i2-2000000000
χ372-2-22222-2-2-22-2-22200-2-222-22-2000000002-2000000000000000000002-22-200000
χ382-2-22222-2-2-22-2-22200-2-222-22-2000000002-200000000000000000000-22-2200000
χ392-2-2222-22-2-22-2-22200-2-22-22-2200000000-22000000000000000000002-2-2200000
χ402-2-2222-22-2-22-2-22200-2-22-22-2200000000-2200000000000000000000-222-200000
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
χ434444-2-2-4-4-2-2-2-2-2-214-411122220000-22-22-1-111-1-10000000000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-21-44111222200002-22-2-1-1-1-1110000000000000000000000000
χ4544-4-444004-4-44-4-4400-44-40000000000000000000000000000000000000000000
χ4644-4-44-200422-2-4-4-2002-22000000000000000000000000000023−230000000000000
χ4744-4-44-200422-2-4-4-2002-220000000000000000000000000000−23230000000000000
χ4844-4-4-2400-2-4-4422-2002-22000000000000000000000000−2i32i300000000000000000
χ4944-4-4-2400-2-4-4422-2002-220000000000000000000000002i3−2i300000000000000000
χ504-44-44-200-4-2224-4-200-22200004i−4i00000000000000000000−2i2i000000000000000
χ514-44-44-200-4-2224-4-200-2220000−4i4i000000000000000000002i−2i000000000000000
χ524-44-4-240024-4-4-22-200-2220000004i−4i0000000000000000000000−2i2i00000000000
χ534-44-4-240024-4-4-22-200-222000000−4i4i00000000000000000000002i−2i00000000000
χ544-4-444-24-4-42-22-44-20022-2-224-400000000-2200000000000000000000000000000
χ554-4-444-2-44-42-22-44-20022-22-2-44000000002-200000000000000000000000000000
χ564-4-44-244-42-44-42-2-20022-24-4-2200000000-2200000000000000000000000000000
χ574-4-44-24-442-44-42-2-20022-2-442-2000000002-200000000000000000000000000000
χ584-4-44-2-24-422-222-2100-1-11-22-22000000001-13-33-30000000000000000000000000
χ594-4-44-2-24-422-222-2100-1-11-22-22000000001-1-33-330000000000000000000000000
χ604-4-44-2-2-4422-222-2100-1-112-22-200000000-113-3-330000000000000000000000000
χ614-4-44-2-2-4422-222-2100-1-112-22-200000000-11-333-30000000000000000000000000
χ6288-8-8-4-400-444-444200-22-20000000000000000000000000000000000000000000
χ638-88-8-4-4004-444-442002-2-20000000000000000000000000000000000000000000

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