Finite Group Databasebeta

← Group #232240

Character table — Group #232240

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222222222222244444444444444444444444422224444444488888888
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ91111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-1111-1-1-1-111-1-111
χ111111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-11-11-1-1-111-1-111-1-111
χ121111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-11-11-1-11111-1-111-1-1
χ131111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111
χ141111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1
χ151111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1
χ161111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1-111-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-22222-2-222-2-2-2-2220000000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000
χ2122222222-2-22222-2-2-2-22-222-2-22-20000000000000000002200-2-2000000000000
χ2222222222-2-22222-2-2-2-22-222-2-22-2000000000000000000-2-20022000000000000
χ2322222222-2-22222-2-2-2-2-22-2-222-2200000000000000002200-2-200000000000000
χ2422222222-2-22222-2-2-2-2-22-2-222-220000000000000000-2-2002200000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2222-20000000000000000002-200-22000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2222-2000000000000000000-22002-2000000000000
χ2722222222-2-2-2-2-2-2-2-222-2222-2-2-2200000000000000002-200-2200000000000000
χ2822222222-2-2-2-2-2-2-2-222-2222-2-2-220000000000000000-22002-200000000000000
χ292-2-222-2-222222-2-2-2-22-2222-22-2-2-20000000000000000000000002i−2i2i−2i00000000
χ302-2-222-2-222222-2-2-2-22-2222-22-2-2-2000000000000000000000000−2i2i−2i2i00000000
χ312-2-222-2-222222-2-2-2-22-2-2-2-22-22220000000022-2-222-2-200000000000000000000
χ322-2-222-2-222222-2-2-2-22-2-2-2-22-222200000000-2-222-2-22200000000000000000000
χ332-2-222-2-2222-2-222-2-2-2222-22-22-2-20000000000000000000000002i−2i−2i2i00000000
χ342-2-222-2-2222-2-222-2-2-2222-22-22-2-2000000000000000000000000−2i2i2i−2i00000000
χ352-2-222-2-2222-2-222-2-2-22-2-22-22-2220000000022-2-2-2-22200000000000000000000
χ362-2-222-2-2222-2-222-2-2-22-2-22-22-22200000000-2-22222-2-200000000000000000000
χ372-2-222-2-22-2-222-2-222-222-22-2-22-2200000000000000000000000000002-22-20000
χ382-2-222-2-22-2-222-2-222-222-22-2-22-220000000000000000000000000000-22-220000
χ392-2-222-2-22-2-222-2-222-22-22-222-22-2000000000000000000000000000000002-22-2
χ402-2-222-2-22-2-222-2-222-22-22-222-22-200000000000000000000000000000000-22-22
χ412-2-222-2-22-2-2-2-222222-22-2-222-2-2200000000000000000000000000002-2-220000
χ422-2-222-2-22-2-2-2-222222-22-2-222-2-220000000000000000000000000000-222-20000
χ432-2-222-2-22-2-2-2-222222-2-222-2-222-2000000000000000000000000000000002-2-22
χ442-2-222-2-22-2-2-2-222222-2-222-2-222-200000000000000000000000000000000-222-2
χ4544-44-44-4-4004-44-4000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4644-44-44-4-4004-44-400000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4744-44-44-4-400-44-44000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4844-44-44-4-400-44-4400000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ4944-4-4-4-4444-400004-400000000000000004-40000000000000000000000000000
χ5044-4-4-4-4444-400004-40000000000000000-440000000000000000000000000000
χ5144-4-4-4-444-440000-440000000000004-400000000000000000000000000000000
χ5244-4-4-4-444-440000-44000000000000-4400000000000000000000000000000000
χ534-444-4-44-4004-4-44000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ544-444-4-44-4004-4-4400000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ554-444-4-44-400-444-4000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ564-444-4-44-400-444-400000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ574-44-4-44-444-40000-4400000000004-40000000000000000000000000000000000
χ584-44-4-44-444-40000-440000000000-440000000000000000000000000000000000
χ594-44-4-44-44-4400004-4000000000000004-4000000000000000000000000000000
χ604-44-4-44-44-4400004-400000000000000-44000000000000000000000000000000
χ61888-88-8-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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