Finite Group Databasebeta

← Group #10595397

Character table — Group #10595397

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444444444666666668888888812121212121212121212121212121212242436363636
order12223344666666344666121212121212121222446666121212121212121224444466121212121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11111111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-11-1-11
χ6111111111111111-1-11111111-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-111-1
χ7111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111111-1-11111-1-1-111-1
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-11
χ9111111-1-111111111-1111-1-1-1-111-1-111-1-111111-1-1-111-1-111-11-1-111-1-1-1-111-1-11-1-11-11
χ10111111-1-111111111-1111-1-1-1-111-1-111-1-111111-1-1-111-1-1-1-111-11-1-111-1-111-1-1-111-11-1
χ11111111-1-111111111-1111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-111-1-11-111-1-111-1-1111-11-11-1
χ12111111-1-111111111-1111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-11-111-1-11111-1-111-11-11-11
χ13111111-1-11111111-11111-1-1-1-1-1-11111-1-11111-11-1-1-1-1111-11-11-111-1-1-1-1-1-111-11-1-111
χ14111111-1-11111111-11111-1-1-1-1-1-11111-1-11111-11-1-1-1-111-11-1-111-1-111-1-1-1-1111-111-1-1
χ15111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111-111-1-111-1-11111-1-1-1111-1-1
χ16111111-1-11111111-11111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-111-11-11-11-1-1111111-1-11-1-1-111
χ1722222-12222-1-1-12-122-1-1-1-1-122222200000000-1-1-1-1-1-1-1-1222002-1-1-1-1000000-1-10000
χ1822222-12222-1-1-12-122-1-1-1-1-122222200000000-1-1-1-1-1-1-1-1-2-2-200-21111000000110000
χ1922222-12222-1-1-12-1-2-2-1-1-1-1-122-2-2-2-20000000011-1-111112-2-2002-1-1-1-1000000110000
χ2022222-12222-1-1-12-1-2-2-1-1-1-1-122-2-2-2-20000000011-1-11111-22200-21111000000-1-10000
χ2122222-1-2-222-1-1-12-12-2-1-1-111-2-222-2-200000000-1111-1-11122-200-2-1-111000000-110000
χ2222222-1-2-222-1-1-12-12-2-1-1-111-2-222-2-200000000-1111-1-111-2-2200211-1-10000001-10000
χ2322222-1-2-222-1-1-12-1-22-1-1-111-2-2-2-222000000001-11111-1-12-2200-2-1-1110000001-10000
χ2422222-1-2-222-1-1-12-1-22-1-1-111-2-2-2-222000000001-11111-1-1-22-200211-1-1000000-110000
χ252222-1222-1-1222-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-10002200000-1-1-1-1-1-1000000
χ262222-1222-1-1222-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2111122-1-1-1-1-1-1000-2-200000111111000000
χ272222-1222-1-1222-1-1-2-2-1-1-122-1-111112222-1-1-1-1-2-2-1-11111000-2-200000-1-11111000000
χ282222-1222-1-1222-1-1-2-2-1-1-122-1-11111-2-2-2-21111-2-2-1-11111000220000011-1-1-1-1000000
χ292222-12-2-2-1-1222-1-12-2-1-1-1-2-211-1-11122-2-2-1-1-1-12-211-1-1110002-20000011-1-111000000
χ302222-12-2-2-1-1222-1-12-2-1-1-1-2-211-1-111-2-22211112-211-1-111000-2200000-1-111-1-1000000
χ312222-12-2-2-1-1222-1-1-22-1-1-1-2-21111-1-122-2-2-1-1-1-1-221111-1-1000-22000001111-1-1000000
χ322222-12-2-2-1-1222-1-1-22-1-1-1-2-21111-1-1-2-2221111-221111-1-10002-200000-1-1-1-111000000
χ332-2-22222-2-2-2-22-22200-2-222-22-200002-22-222-2-2002-2000000000000002-20000000000
χ342-2-22222-2-2-2-22-22200-2-222-22-20000-22-22-2-222002-200000000000000-220000000000
χ352-2-2222-22-2-2-22-22200-2-22-22-2200002-2-2222-2-200-2200000000000000-220000000000
χ362-2-2222-22-2-2-22-22200-2-22-22-220000-222-2-2-22200-22000000000000002-20000000000
χ372-2-22-122-211-22-2-1-10011-12-2-11−i3i3−i3i32-22-2-1-11100-11−i3i3−i3i30000000000-11−i3i3−i3i3000000
χ382-2-22-122-211-22-2-1-10011-12-2-11−i3i3−i3i3-22-2211-1-100-11−i3i3−i3i300000000001-1i3−i3i3−i3000000
χ392-2-22-122-211-22-2-1-10011-12-2-11i3−i3i3−i32-22-2-1-11100-11i3−i3i3−i30000000000-11i3−i3i3−i3000000
χ402-2-22-122-211-22-2-1-10011-12-2-11i3−i3i3−i3-22-2211-1-100-11i3−i3i3−i300000000001-1−i3i3−i3i3000000
χ412-2-22-12-2211-22-2-1-10011-1-221-1−i3i3i3−i32-2-22-1-111001-1−i3i3i3−i300000000001-1−i3i3i3−i3000000
χ422-2-22-12-2211-22-2-1-10011-1-221-1−i3i3i3−i3-222-211-1-1001-1−i3i3i3−i30000000000-11i3−i3−i3i3000000
χ432-2-22-12-2211-22-2-1-10011-1-221-1i3−i3−i3i32-2-22-1-111001-1i3−i3−i3i300000000001-1i3−i3−i3i3000000
χ442-2-22-12-2211-22-2-1-10011-1-221-1i3−i3−i3i3-222-211-1-1001-1i3−i3−i3i30000000000-11−i3i3i3−i3000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200000000-2-21111110000000000000000000000
χ464444-2-244-2-2-2-2-2-21-4-4111-2-2-2-22222000000002211-1-1-1-10000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-214-41112222-2-22200000000-22-1-111-1-10000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-21-44111222222-2-2000000002-2-1-1-1-1110000000000000000000000
χ4944-4-444004-4-4-44-44004-4-40000000000000000000000000000000000000000000000
χ5044-4-44-2004-422-2-4-200-2220000000000000000000000000000000023−23000000000000
χ5144-4-44-2004-422-2-4-200-22200000000000000000000000000000000−2323000000000000
χ5244-4-4-2400-22-4-442-200-222000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5344-4-4-2400-22-4-442-200-2220000000000002i3−2i32i3−2i3000000000000000000000000000000
χ544-44-44400-444-4-4-4400-44-40000000000000000000000000000000000000000000000
χ554-44-44-200-44-222-4-2002-22000000000000000000000000000000−2i32i300000000000000
χ564-44-44-200-44-222-4-2002-220000000000000000000000000000002i3−2i300000000000000
χ574-44-4-24002-24-4-42-2002-22000000000000−2i32i32i3−2i3000000000000000000000000000000
χ584-44-4-24002-24-4-42-2002-220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ594-4-444-24-4-4-42-224-20022-2-224-400000000000000-2200000000000000000000000000
χ604-4-444-2-44-4-42-224-20022-22-2-44000000000000002-200000000000000000000000000
χ614-4-44-2-24-4222-22-2100-1-11-22-22−2i32i3−2i32i300000000001-1i3−i3i3−i30000000000000000000000
χ624-4-44-2-24-4222-22-2100-1-11-22-222i3−2i32i3−2i300000000001-1−i3i3−i3i30000000000000000000000
χ634-4-44-2-2-44222-22-2100-1-112-22-2−2i32i32i3−2i30000000000-11i3−i3−i3i30000000000000000000000
χ644-4-44-2-2-44222-22-2100-1-112-22-22i3−2i3−2i32i30000000000-11−i3i3i3−i30000000000000000000000
χ6588-8-8-4-400-4444-442002-2-20000000000000000000000000000000000000000000000
χ668-88-8-4-4004-4-4444200-22-20000000000000000000000000000000000000000000000

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