Finite Group Databasebeta

← Group #167140

Character table — Group #167140

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444488888888888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ5111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ6111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1
χ7111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-11-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-11-1-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-11-1111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-1-1-11111-1-1
χ1411111111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-111-1-1-1-111111111-1-1-1-11-1-11-111-111-1-1-1-111
χ1511111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-11-1-1111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-11-1-11-1-11111-1-1
χ1722222222222222222-2-2-2-2-22-200-22222000000000000000000000000-2-200000000
χ1822222222222222222-2-2-2-2-22-200-2-2-2-2-20000000000000000000000002200000000
χ19222222222222-2-2-2-2-2222-2-2-2222-20000220000000000000000-2-200000000000000
χ20222222222222-2-2-2-2-2222-2-2-22-2-2-20000-2-200000000000000002200000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-20020000000000000000000000002-2-220000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2002000000000000000000000000-222-20000000000
χ2322222222-2-2-2-22222-22-2-2-2-2-222220000-2-200000000000000002-200000000000000
χ2422222222-2-2-2-22222-22-2-2-2-2-22-2-220000220000000000000000-2200000000000000
χ2522222222-2-2-2-22222-2-22222-2-200-200000000000000000000000022-2-20000000000
χ2622222222-2-2-2-22222-2-22222-2-200-2000000000000000000000000-2-2220000000000
χ2722222222-2-2-2-2-2-2-2-22-222-2-22-200222-2-2000000000000000000000000-2200000000
χ2822222222-2-2-2-2-2-2-2-22-222-2-22-2002-2-2220000000000000000000000002-200000000
χ292-222-22-2-222-2-200000-22-200022i−2i000002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ302-222-22-2-222-2-200000-22-200022i−2i000002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ312-222-22-2-222-2-200000-22-20002−2i2i00000−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ322-222-22-2-222-2-200000-22-20002−2i2i00000−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
χ332-222-22-2-2-2-22200000-2-2200022i−2i00000−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000000000000
χ342-222-22-2-2-2-22200000-2-2200022i−2i00000−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000000000000000
χ352-222-22-2-2-2-22200000-2-220002−2i2i000002i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000000000000
χ362-222-22-2-2-2-22200000-2-220002−2i2i000002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000
χ372-22-22-2-222-22-222-2-2200000-200002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i2000000000000000000002−22−2
χ382-22-22-2-222-22-222-2-2200000-200002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i200000000000000000000−22−22
χ392-22-22-2-222-22-222-2-2200000-20000−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i200000000000000000000−22−22
χ402-22-22-2-222-22-222-2-2200000-20000−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i2000000000000000000002−22−2
χ412-22-22-2-22-22-22-2-222200000-200002i−2i−2i2i00i2−i2i2−i2−i2i2−i2i2000000000000000000002−2−22
χ422-22-22-2-22-22-22-2-222200000-200002i−2i−2i2i00−i2i2−i2i2i2−i2i2−i200000000000000000000−222−2
χ432-22-22-2-22-22-22-2-222200000-20000−2i2i2i−2i00i2−i2i2−i2−i2i2−i2i200000000000000000000−222−2
χ442-22-22-2-22-22-22-2-222200000-20000−2i2i2i−2i00−i2i2−i2i2i2−i2i2−i2000000000000000000002−2−22
χ45444-4-4-44-44-4-440000000000000000000002-2-222-2-22000000000000000000000000
χ46444-4-4-44-44-4-44000000000000000000000-222-2-222-2000000000000000000000000
χ47444-4-4-44-4-444-40000000000000000000002-2-22-222-2000000000000000000000000
χ48444-4-4-44-4-444-4000000000000000000000-222-22-2-22000000000000000000000000
χ4944-444-4-4-400004-44-400000000000000000000000002-22-22-22-20000000000000000
χ5044-444-4-4-400004-44-40000000000000000000000000-22-22-22-220000000000000000
χ5144-444-4-4-40000-44-4400000000000000000000000002-22-2-22-220000000000000000
χ5244-444-4-4-40000-44-440000000000000000000000000-22-222-22-20000000000000000
χ534-444-44-4-444-4-4000004-44000-400000000000000000000000000000000000000000
χ544-444-44-4-4-4-4440000044-4000-400000000000000000000000000000000000000000
χ554-44-44-4-444-44-4-4-444-4000004000000000000000000000000000000000000000000
χ564-44-44-4-44-44-4444-4-4-4000004000000000000000000000000000000000000000000
χ574-4-44-4-4440000000000004-40000000000000000000000022−22−22220000000000000000
χ584-4-44-4-4440000000000004-400000000000000000000000−222222−220000000000000000
χ594-4-44-4-444000000000000-44000000000000000000022−22−222200000000000000000000
χ604-4-44-4-444000000000000-440000000000000000000−222222−2200000000000000000000
χ614-4-4-4444-400004-4-44000000000000000000000000000000000000000002i−2i2i−2i0000
χ624-4-4-4444-400004-4-4400000000000000000000000000000000000000000−2i2i−2i2i0000
χ634-4-4-4444-40000-444-4000000000000000000000000000000000000000002i−2i−2i2i0000
χ644-4-4-4444-40000-444-400000000000000000000000000000000000000000−2i2i2i−2i0000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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