Finite Group Databasebeta

← Group #10595387

Character table — Group #10595387

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order12223344666666344666121212121212121244444444121212121212121212121212444412121212121212121212441212224
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1
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
χ5111111111111111-1-111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11
χ6111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111-1
χ7111111111111111-1-111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1
χ8111111111111111-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11
χ9111111-1-111111111-1111-1-111-1-1-1-11111-1-11111111-1-1-111-1-11-1-1-111-1-1-1-111-1-1111-11-1-1
χ10111111-1-111111111-1111-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-1-111-1-1-111-1-111-1-1-1-1-11-111
χ11111111-1-111111111-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-11-1-1111-1-111-1-111-1-11-1-111
χ12111111-1-111111111-1111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1111-1-11111-1-11111-111-1-1
χ13111111-1-11111111-11111-1-1-1-111-1-111-1-111111111-11-1-1-1-111-11-1-111-1-1-1-1-1-11111-11-11-1
χ14111111-1-11111111-11111-1-1-1-111-1-111-1-111-1-11111-11-1-1-1-1111-11-1-1-111-1-1-1-111-1-11-11-11
χ15111111-1-11111111-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-111-11-1111-1-11111-1-1-1-1-111-11
χ16111111-1-11111111-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1111-111-1-1111111-1-1111-1-11-1
χ1722222-12222-1-12-1-122-1-1-1222222-1-1000000220000-1-1-1-1-1-1-1-12220-1-1-1-100000000-1-1000
χ1822222-12222-1-12-1-122-1-1-1222222-1-1000000-2-20000-1-1-1-1-1-1-1-1-2-2-2011110000000011000
χ1922222-12222-1-12-1-1-2-2-1-1-122-2-2-2-2-1-100000022000011-1-11111-2-220-1-1-1-10000000011000
χ2022222-12222-1-12-1-1-2-2-1-1-122-2-2-2-2-1-1000000-2-2000011-1-1111122-20111100000000-1-1000
χ2122222-1-2-222-1-12-1-12-2-1-1-1-2-222-2-211000000220000-1111-1-1112-2-20-1-11100000000-11000
χ2222222-1-2-222-1-12-1-12-2-1-1-1-2-222-2-211000000-2-20000-1111-1-111-222011-1-1000000001-1000
χ2322222-1-2-222-1-12-1-1-22-1-1-1-2-2-2-222110000002200001-11111-1-1-22-20-1-111000000001-1000
χ2422222-1-2-222-1-12-1-1-22-1-1-1-2-2-2-22211000000-2-200001-11111-1-12-22011-1-100000000-11000
χ252222-1222-1-122-12-122-1-1-1-1-1-1-1-1-12222222200-1-1-1-122-1-1-1-1-1-100020000-1-1-1-1-1-10000000
χ262222-1222-1-122-12-122-1-1-1-1-1-1-1-1-122-2-2-2-2-2-200111122-1-1-1-1-1-1000-200001111110000000
χ272222-1222-1-122-12-1-2-2-1-1-1-1-111112222-2-2-2-200-1-1-1-1-2-2-1-1111100020000-1-111110000000
χ282222-1222-1-122-12-1-2-2-1-1-1-1-1111122-2-22222001111-2-2-1-11111000-2000011-1-1-1-10000000
χ292222-12-2-2-1-122-12-12-2-1-1-111-1-111-2-22222-2-200-1-1-1-12-211-1-111000-2000011-1-1110000000
χ302222-12-2-2-1-122-12-12-2-1-1-111-1-111-2-2-2-2-2-2220011112-211-1-11100020000-1-111-1-10000000
χ312222-12-2-2-1-122-12-1-22-1-1-11111-1-1-2-222-2-22200-1-1-1-1-221111-1-1000-200001111-1-10000000
χ322222-12-2-2-1-122-12-1-22-1-1-11111-1-1-2-2-2-222-2-2001111-221111-1-100020000-1-1-1-1110000000
χ3322-2-2222-22-2-2-2-22200-2-222-200002-2002i−2i2i−2i000000002-2000000000000002i−2i2i−2i0000000
χ3422-2-2222-22-2-2-2-22200-2-222-200002-200−2i2i−2i2i000000002-200000000000000−2i2i−2i2i0000000
χ3522-2-222-222-2-2-2-22200-2-22-220000-22002i−2i−2i2i00000000-22000000000000002i−2i−2i2i0000000
χ3622-2-222-222-2-2-2-22200-2-22-220000-2200−2i2i2i−2i00000000-2200000000000000−2i2i2i−2i0000000
χ3722-2-2-122-2-11-2-212-10011-1-11−i3i3−i3i32-2002i−2i2i−2i0033−3−300-11−i3i3−i3i3000000003−3−ii−ii0000000
χ3822-2-2-122-2-11-2-212-10011-1-11−i3i3−i3i32-200−2i2i−2i2i00−3−33300-11−i3i3−i3i300000000−33i−ii−i0000000
χ3922-2-2-122-2-11-2-212-10011-1-11i3−i3i3−i32-2002i−2i2i−2i00−3−33300-11i3−i3i3−i300000000−33−ii−ii0000000
χ4022-2-2-122-2-11-2-212-10011-1-11i3−i3i3−i32-200−2i2i−2i2i0033−3−300-11i3−i3i3−i3000000003−3i−ii−i0000000
χ4122-2-2-12-22-11-2-212-10011-11-1−i3i3i3−i3-22002i−2i−2i2i0033−3−3001-1−i3i3i3−i300000000−33−iii−i0000000
χ4222-2-2-12-22-11-2-212-10011-11-1−i3i3i3−i3-2200−2i2i2i−2i00−3−333001-1−i3i3i3−i3000000003−3i−i−ii0000000
χ4322-2-2-12-22-11-2-212-10011-11-1i3−i3−i3i3-22002i−2i−2i2i00−3−333001-1i3−i3−i3i3000000003−3−iii−i0000000
χ4422-2-2-12-22-11-2-212-10011-11-1i3−i3−i3i3-2200−2i2i2i−2i0033−3−3001-1i3−i3−i3i300000000−33i−i−ii0000000
χ452-2-222200-2-22-22-22002-2-2000000002i−2i00002-22i−2i2i−2i0000000000002-2000000002i−2i00000
χ462-2-222200-2-22-22-22002-2-2000000002i−2i0000-222i−2i2i−2i000000000000-2200000000−2i2i00000
χ472-2-222200-2-22-22-22002-2-200000000−2i2i00002-2−2i2i−2i2i0000000000002-200000000−2i2i00000
χ482-2-222200-2-22-22-22002-2-200000000−2i2i0000-22−2i2i−2i2i000000000000-22000000002i−2i00000
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
χ5344-4-44-24-44-422-4-2-20022-24-40000-2200000000000000-220000000000000000000000000
χ5444-4-44-2-444-422-4-2-20022-2-4400002-2000000000000002-20000000000000000000000000
χ5544-4-4-2-24-4-22222-2100-1-11-22−2i32i3−2i32i3-22000000000000001-1i3−i3i3−i3000000000000000000000
χ5644-4-4-2-24-4-22222-2100-1-11-222i3−2i32i3−2i3-22000000000000001-1−i3i3−i3i3000000000000000000000
χ5744-4-4-2-2-44-22222-2100-1-112-2−2i32i32i3−2i32-200000000000000-11i3−i3−i3i3000000000000000000000
χ5844-4-4-2-2-44-22222-2100-1-112-22i3−2i3−2i32i32-200000000000000-11−i3i3i3−i3000000000000000000000
χ594-44-44400-44-44-4-4400-44-40000000000000000000000000000000000000000000000000
χ604-44-44-200-442-2-42-2002-220000000000000000000000000000000000−2i32i30000000000000
χ614-44-44-200-442-2-42-2002-2200000000000000000000000000000000002i3−2i30000000000000
χ624-44-4-24002-2-442-4-2002-220000000000000000−2i32i32i3−2i300000000000000000000000000000
χ634-44-4-24002-2-442-4-2002-2200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ644-4-444-200-4-4-2242-200-222000000000000004-40000000000000000-22000000000000000
χ654-4-444-200-4-4-2242-200-22200000000000000-4400000000000000002-2000000000000000
χ664-4-44-2400224-4-2-4-200-222000000004i−4i000000−2i2i−2i2i00000000000000000000000000000
χ674-4-44-2400224-4-2-4-200-22200000000−4i4i0000002i−2i2i−2i00000000000000000000000000000
χ688-88-8-4-4004-44-444200-22-20000000000000000000000000000000000000000000000000
χ698-8-88-4-40044-44-442002-2-20000000000000000000000000000000000000000000000000

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