Finite Group Databasebeta

← Group #10595402

Character table — Group #10595402

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order12223344666666344666121212121212121222444444666612121212121212122444661212121212121212441212224
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1111111-1-1-1-1-1-1-1-111-1-1-1
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
χ5111111111111111-1-11111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11
χ6111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1
χ7111111111111111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-11111-1-1-1-111-1
χ8111111111111111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11
χ9111111-1-111111111-1111-1-1-1-111-1-11111-1-11111111-1-1-111-1-1-1-11-1-1-111-1-111-1-1111-11-1-1
χ10111111-1-111111111-1111-1-1-1-111-1-11111-1-1-1-111111-1-1-111-1-11-1-1111-1-1-1-111-1-1-1-1-11-111
χ11111111-1-111111111-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-111-1-1-11111-1-111-1-11-1-111
χ12111111-1-111111111-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-111-1-111-1111-1-111-1-11111-111-1-1
χ13111111-1-11111111-11111-1-1-1-1-1-11111-1-111111111-11-1-1-1-111-1-1-11-1-111-1-1-1-11111-11-11-1
χ14111111-1-11111111-11111-1-1-1-1-1-11111-1-111-1-11111-11-1-1-1-1111-11-111-1-1-1-1-1-111-1-11-11-11
χ15111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-1-1-1-111-11-11-1-1111111-1-1-1-1-111-11
χ16111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111-111-1-11111-1-1111-1-11-1
χ1722222-12222-1-1-12-122-1-1-1-1-1222222000000220000-1-1-1-1-1-1-1-12022-1-1-1-100000000-1-1000
χ1822222-12222-1-1-12-122-1-1-1-1-1222222000000-2-20000-1-1-1-1-1-1-1-1-20-2-211110000000011000
χ1922222-12222-1-1-12-1-2-2-1-1-1-1-122-2-2-2-200000022000011-1-1111120-2-2-1-1-1-10000000011000
χ2022222-12222-1-1-12-1-2-2-1-1-1-1-122-2-2-2-2000000-2-2000011-1-11111-2022111100000000-1-1000
χ2122222-1-2-222-1-1-12-12-2-1-1-111-2-222-2-2000000220000-1111-1-111-202-211-1-100000000-11000
χ2222222-1-2-222-1-1-12-12-2-1-1-111-2-222-2-2000000-2-20000-1111-1-11120-22-1-111000000001-1000
χ2322222-1-2-222-1-1-12-1-22-1-1-111-2-2-2-2220000002200001-11111-1-1-20-2211-1-1000000001-1000
χ2422222-1-2-222-1-1-12-1-22-1-1-111-2-2-2-222000000-2-200001-11111-1-1202-2-1-11100000000-11000
χ252222-1222-1-1222-1-122-1-1-122-1-1-1-1-1-122222200-1-1-1-122-1-1-1-1-1-102000000-1-1-1-1-1-10000000
χ262222-1222-1-1222-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-200111122-1-1-1-1-1-10-20000001111110000000
χ272222-1222-1-1222-1-1-2-2-1-1-122-1-1111122-2-2-2-200-1-1-1-1-2-2-1-1111102000000-1-111110000000
χ282222-1222-1-1222-1-1-2-2-1-1-122-1-11111-2-22222001111-2-2-1-111110-200000011-1-1-1-10000000
χ292222-12-2-2-1-1222-1-12-2-1-1-1-2-211-1-1112222-2-200-1-1-1-12-211-1-1110-200000011-1-1110000000
χ302222-12-2-2-1-1222-1-12-2-1-1-1-2-211-1-111-2-2-2-2220011112-211-1-11102000000-1-111-1-10000000
χ312222-12-2-2-1-1222-1-1-22-1-1-1-2-21111-1-122-2-22200-1-1-1-1-221111-1-10-20000001111-1-10000000
χ322222-12-2-2-1-1222-1-1-22-1-1-1-2-21111-1-1-2-222-2-2001111-221111-1-102000000-1-1-1-1110000000
χ332-22-222002-2-22-2-22002-2-2000000002-200002i−2i22-2-2000000000000002i−2i0000002i−2i00000
χ342-22-222002-2-22-2-22002-2-2000000002-20000−2i2i22-2-200000000000000−2i2i000000−2i2i00000
χ352-22-222002-2-22-2-22002-2-200000000-2200002i−2i-2-222000000000000002i−2i000000−2i2i00000
χ362-22-222002-2-22-2-22002-2-200000000-220000−2i2i-2-22200000000000000−2i2i0000002i−2i00000
χ372-2-22222-2-2-2-2-222200-2-222-22-20000002-22-2000000002-2000000000000002-22-20000000
χ382-2-22222-2-2-2-2-222200-2-222-22-2000000-22-22000000002-200000000000000-22-220000000
χ392-2-2222-22-2-2-2-222200-2-22-22-220000002-2-2200000000-22000000000000002-2-220000000
χ402-2-2222-22-2-2-2-222200-2-22-22-22000000-222-200000000-2200000000000000-222-20000000
χ412-2-22-122-211-2-22-1-10011-12-2-11−i3i3−i3i3002-22-200−i3i3−i3i300-11−i3i3−i3i300000000−i3i3-11-110000000
χ422-2-22-122-211-2-22-1-10011-12-2-11−i3i3−i3i300-22-2200i3−i3i3−i300-11−i3i3−i3i300000000i3−i31-11-10000000
χ432-2-22-122-211-2-22-1-10011-12-2-11i3−i3i3−i3002-22-200i3−i3i3−i300-11i3−i3i3−i300000000i3−i3-11-110000000
χ442-2-22-122-211-2-22-1-10011-12-2-11i3−i3i3−i300-22-2200−i3i3−i3i300-11i3−i3i3−i300000000−i3i31-11-10000000
χ452-2-22-12-2211-2-22-1-10011-1-221-1−i3i3i3−i3002-2-2200−i3i3−i3i3001-1−i3i3i3−i300000000i3−i3-111-10000000
χ462-2-22-12-2211-2-22-1-10011-1-221-1−i3i3i3−i300-222-200i3−i3i3−i3001-1−i3i3i3−i300000000−i3i31-1-110000000
χ472-2-22-12-2211-2-22-1-10011-1-221-1i3−i3−i3i3002-2-2200i3−i3i3−i3001-1i3−i3−i3i300000000−i3i3-111-10000000
χ482-2-22-12-2211-2-22-1-10011-1-221-1i3−i3−i3i300-222-200−i3i3−i3i3001-1i3−i3−i3i300000000i3−i31-1-110000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-4111-2-2-2-222220000000000002211-1-1-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-41112222-2-222000000000000-22-1-111-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111222222-2-20000000000002-2-1-1-1-111000000000000000000000
χ5344-4-44400-444-4-4-4400-44-40000000000000000000000000000000000000000000000000
χ5444-4-44-200-44-222-4-2002-2200000000000000000000000000000000−2i32i3000000000000000
χ5544-4-44-200-44-222-4-2002-22000000000000000000000000000000002i3−2i3000000000000000
χ5644-4-4-24002-24-4-42-2002-220000000000000000−2i32i32i3−2i300000000000000000000000000000
χ5744-4-4-24002-24-4-42-2002-2200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ584-44-44-2004-42-22-4-200-222000000000000004i−4i000000000000000000−2i2i0000000000000
χ594-44-44-2004-42-22-4-200-22200000000000000−4i4i0000000000000000002i−2i0000000000000
χ604-44-4-2400-22-44-42-200-222000000004-4000000-2-22200000000000000000000000000000
χ614-44-4-2400-22-44-42-200-22200000000-4400000022-2-200000000000000000000000000000
χ624-4-444-24-4-4-422-24-20022-2-224-4000000000000000000-220000000000000000000000000
χ634-4-444-2-44-4-422-24-20022-22-2-440000000000000000002-20000000000000000000000000
χ644-4-44-2-24-42222-2-2100-1-11-22-22−2i32i3−2i32i3000000000000001-1i3−i3i3−i3000000000000000000000
χ654-4-44-2-24-42222-2-2100-1-11-22-222i3−2i32i3−2i3000000000000001-1−i3i3−i3i3000000000000000000000
χ664-4-44-2-2-442222-2-2100-1-112-22-2−2i32i32i3−2i300000000000000-11i3−i3−i3i3000000000000000000000
χ674-4-44-2-2-442222-2-2100-1-112-22-22i3−2i3−2i32i300000000000000-11−i3i3i3−i3000000000000000000000
χ6888-8-8-4-4004-4-4444200-22-20000000000000000000000000000000000000000000000000
χ698-88-8-4-400-444-4442002-2-20000000000000000000000000000000000000000000000000

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