Finite Group Databasebeta

← Group #239362

Character table — Group #239362

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444488888888888888881616161616161616161616161616161616161616
order12222222222244444422244444888888888888888822444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111-111-1-11-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1-111-11-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11111-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1111111111-1-1-1-1
χ9111111-1-1111111-1-111-1-1-111-1-1-111-1-111-1-11111-1-1-1-1111-11-1-1-111-1-111-1-111-1-1
χ10111111-1-1111111-1-111-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-11-111111-1-1-1-111-1-111
χ11111111-1-1111111-1-111-1-1-111-1-1-111-1-111-1-1-1-1-1-11111111-11-1-1-1-1-111-1-111-1-111
χ12111111-1-1111111-1-111-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-11-1111-1-11111-1-111-1-1
χ13111111-1-1111111-1-111-1-1-111-1-1-1-1-111-1-1111111-1-1-1-11-11-1-11-11-1-11111-1-1-1-111
χ14111111-1-1111111-1-111-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-11-111-11-1-1-111-1-11111-1-1
χ15111111-1-1111111-1-111-1-1-111-1-1-1-1-111-1-111-1-1-1-111111-11-1-11-1111-1-1-1-11111-1-1
χ16111111-1-1111111-1-111-1-1-111-1-1-1-1-111-1-111-1-1-1-11111-11-111-11-111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2222-2-2-2-2-20000000000000000000000002-22-200000000
χ18222222222222-2-2-2-2-2-2222-2-2-2-2-2000000000000000000000000-22-2200000000
χ19222222-2-22222-2-222-2-2-2-2-2-2-22220000000000000000000000002-2-2200000000
χ20222222-2-22222-2-222-2-2-2-2-2-2-2222000000000000000000000000-222-200000000
χ2122222-222-2-22-222-2-2-2-22-2-22-222-2000000000000000000000000000000002i−2i2i−2i
χ2222222-222-2-22-222-2-2-2-22-2-22-222-200000000000000000000000000000000−2i2i−2i2i
χ2322222-222-2-22-2-2-222222-2-2-22-2-22000000000000000020-2-20020000000000000
χ2422222-222-2-22-2-2-222222-2-2-22-2-220000000000000000-202200-20000000000000
χ2522222-2-2-2-2-22-22222-2-2-2222-2-2-22000000000000000000000000000000002i−2i−2i2i
χ2622222-2-2-2-2-22-22222-2-2-2222-2-2-2200000000000000000000000000000000−2i2i2i−2i
χ2722222-2-2-2-2-22-2-2-2-2-222-222-2222-2000000000000000020-2200-20000000000000
χ2822222-2-2-2-2-22-2-2-2-2-222-222-2222-20000000000000000-202-20020000000000000
χ292222-2222-2-2-2222-2-2-2-2-22-2-222-2200000000000000000000000000002i−2i2i−2i0000
χ302222-2222-2-2-2222-2-2-2-2-22-2-222-220000000000000000000000000000−2i2i−2i2i0000
χ312222-2222-2-2-22-2-22222-22-22-2-22-200000000000000000200-2-202000000000000
χ322222-2222-2-2-22-2-22222-22-22-2-22-200000000000000000-200220-2000000000000
χ332222-22-2-2-2-2-222222-2-22-22-22-22-200000000000000000000000000002i−2i−2i2i0000
χ342222-22-2-2-2-2-222222-2-22-22-22-22-20000000000000000000000000000−2i2i2i−2i0000
χ352222-22-2-2-2-2-22-2-2-2-2222-222-22-2200000000000000000200-220-2000000000000
χ362222-22-2-2-2-2-22-2-2-2-2222-222-22-2200000000000000000-2002-202000000000000
χ372222-2-22222-2-2222222-2-22-2-22-2-22222-2-2-2-20000000000000000000000000000
χ382222-2-22222-2-2222222-2-22-2-22-2-2-2-2-2-222220000000000000000000000000000
χ392222-2-22222-2-2-2-2-2-2-2-2-2-2222-222000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ402222-2-22222-2-2-2-2-2-2-2-2-2-2222-22200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ412222-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ422222-2-2-2-222-2-222-2-22222-2-2-2-222-2-22222-2-20000000000000000000000000000
χ432222-2-2-2-222-2-2-2-222-2-222-2222-2-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ442222-2-2-2-222-2-2-2-222-2-222-2222-2-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ4544-4-444004-4-4-40000000000000022−220022−22000000000000000000000000000000
χ4644-4-444004-4-4-400000000000000−222200−2222000000000000000000000000000000
χ4744-4-44-400-44-4400000000000000002i2−2i2002i2−2i20000000000000000000000000000
χ4844-4-44-400-44-440000000000000000−2i22i200−2i22i20000000000000000000000000000
χ4944-4-4-4400-444-400000000000000002i2−2i200−2i22i20000000000000000000000000000
χ5044-4-4-4400-444-40000000000000000−2i22i2002i2−2i20000000000000000000000000000
χ5144-4-4-4-4004-4440000000000000022−2200−2222000000000000000000000000000000
χ5244-4-4-4-4004-44400000000000000−22220022−22000000000000000000000000000000
χ534-4-44004-40000004-44-400000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ544-4-44004-40000004-44-40000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ554-4-44004-4000000-44-4400000000000000002-2-222-2-2200000000000000000000
χ564-4-44004-4000000-44-440000000000000000-222-2-222-200000000000000000000
χ574-4-4400-440000004-4-4400000000000000002-2-22-222-200000000000000000000
χ584-4-4400-440000004-4-440000000000000000-222-22-2-2200000000000000000000
χ594-4-4400-44000000-444-400000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ604-4-4400-44000000-444-40000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ618-88-8000000008i−8i000000000000000000000000000000000000000000000000
χ628-88-800000000−8i8i000000000000000000000000000000000000000000000000

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