Finite Group Databasebeta

← Group #246750

Character table — Group #246750

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244442244444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11111
χ51111111111111111111111-1-111-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111-11-111-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ172222222222-2-222-2-22222-2-2002200-2-222000000000000-200-200000000000000
χ182222222222-2-222-2-22222-2-200-2-200-2-2-2-2000000000000200200000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-200220022-2-2000000000000200-200000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-200-2-2002222000000000000-200200000000000000
χ2122222222-2-222-2-22222-2-2-2-2220022-22000000000000000-2-2000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-200-2-2-2200000000000000022000000000000000
χ2322222222-2-222-2-222-2-222-2-22200-2-22-20000000000000002-2000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-200222-2000000000000000-22000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000002-20022-2-2000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000002-200-2-22200000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000-220022-2-200000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000-2200-2-222000000000000002-20000000000
χ292-22-222-2-2-2-20022002-22-200002i−2i00002i−2i000022−2−222−2−200000000000000i2−i2i2−i2
χ302-22-222-2-2-2-20022002-22-200002i−2i00002i−2i0000−2−222−2−22200000000000000−i2i2−i2i2
χ312-22-222-2-2-2-20022002-22-20000−2i2i0000−2i2i000022−2−222−2−200000000000000−i2i2−i2i2
χ322-22-222-2-2-2-20022002-22-20000−2i2i0000−2i2i0000−2−222−2−22200000000000000i2−i2i2−i2
χ332-22-222-2-2-2-2002200-22-2200002i−2i0000−2i2i000022−2−2−2−22200000000000000i2−i2−i2i2
χ342-22-222-2-2-2-2002200-22-2200002i−2i0000−2i2i0000−2−22222−2−200000000000000−i2i2i2−i2
χ352-22-222-2-2-2-2002200-22-220000−2i2i00002i−2i000022−2−2−2−22200000000000000−i2i2i2−i2
χ362-22-222-2-2-2-2002200-22-220000−2i2i00002i−2i0000−2−22222−2−200000000000000i2−i2−i2i2
χ372-2-2-22-2222-22-22-22-20000-2200000000002-22-200002-22-200002-2000000000000
χ382-2-2-22-2222-22-22-22-20000-2200000000002-22-20000-22-220000-22000000000000
χ392-2-2-22-2222-22-22-22-20000-220000000000-22-2200002-22-20000-22000000000000
χ402-2-2-22-2222-22-22-22-20000-220000000000-22-220000-22-2200002-2000000000000
χ412-2-2-22-222-22-22-22-220000-2200000000002-2-222-22-20000000000002-200000000
χ422-2-2-22-222-22-22-22-220000-2200000000002-2-22-22-22000000000000-2200000000
χ432-2-2-22-222-22-22-22-220000-220000000000-222-22-22-2000000000000-2200000000
χ442-2-2-22-222-22-22-22-220000-220000000000-222-2-22-220000000000002-200000000
χ45444-4-4-4-44004400-4-400000000000000000000000000000000000000002i2−2i20000
χ46444-4-4-4-44004400-4-40000000000000000000000000000000000000000−2i22i20000
χ47444-4-4-4-4400-4-400440000000000000000000000000000000000000022−22000000
χ48444-4-4-4-4400-4-4004400000000000000000000000000000000000000−2222000000
χ4944-444-4-4-44-400-44000000000000000000000022−22−22220000000000000000000000
χ5044-444-4-4-44-400-440000000000000000000000−222222−220000000000000000000000
χ5144-444-4-4-4-44004-40000000000000000000000000022−22−2222000000000000000000
χ5244-444-4-4-4-44004-400000000000000000000000000−222222−22000000000000000000
χ534-44-444-4-44400-4-4004-4-44000000000000000000000000000000000000000000
χ544-44-444-4-44400-4-400-444-4000000000000000000000000000000000000000000
χ554-4-44-44-44004-400-440000004-400000000000000000000000000000000000000
χ564-4-44-44-44004-400-44000000-4400000000000000000000000000000000000000
χ574-4-44-44-4400-44004-400000000004-40000000000000000000000000000000000
χ584-4-44-44-4400-44004-40000000000-440000000000000000000000000000000000
χ594-4-4-44-4444-4-444-4-4400004-40000000000000000000000000000000000000000
χ604-4-4-44-444-444-4-444-400004-40000000000000000000000000000000000000000
χ6188-8-8-888-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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