Finite Group Databasebeta

← Group #246743

Character table — Group #246743

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111-1-1-1-111111111-1-1-111-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-11111
χ511111111111111111111111-1-111111-1-1-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-11111
χ611111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-11-1-111111111111111-1-1-111-111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111
χ911111111111111111-1-1-1-11-11111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ1011111111111111111-1-1-1-11-11111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ1111111111111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11111111-1-1-1-111
χ1211111111111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-11111-1-1
χ1311111111111111111-1-1-1-11-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-11-1111-111-1-11111-1-1
χ1411111111111111111-1-1-1-11-1-1-111-1-1-111-1-1-1-1-1-1-1-11111111-1111-1-1-111-1-1-1-111
χ1511111111111111111-1-1-1-11-1-1-1-1-111-11111111111-1-1-1-111-1-11-1-11-1-1-1-111-1-111
χ1611111111111111111-1-1-1-11-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-11-1-111111-1-111-1-1
χ172222222222-2-222-2-2-22222-2-2220000-222000000000000000-2-20000000000000
χ182222222222-2-222-2-2-22222-2-2-2-20000-2-2-2000000000000000220000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-222200002-2-2000000000000000-220000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22-2-200002220000000000000002-20000000000000
χ2122222222-2-222-2-222-222-2-2-2-200222220000000000000000-20000-20000000000
χ2222222222-2-222-2-222-222-2-2-2-200-2-2-2-2200000000000000002000020000000000
χ2322222222-2-222-2-222-2-2-222-220022-2-2-20000000000000000-2000020000000000
χ2422222222-2-222-2-222-2-2-222-2200-2-222-2000000000000000020000-20000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-222000000-20022-2-200000000000002-200000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-222000000-200-2-2220000000000000-2200000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-200000020022-2-20000000000000-2200000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2222-2000000200-2-22200000000000002-200000000000
χ292-22-22-22-22-2002-20002i−2i2i−2i002i−2i000002-20000i2i2−i2−i222−2−200000000002−2i2−i20000
χ302-22-22-22-22-2002-20002i−2i2i−2i002i−2i000002-20000−i2−i2i2i2−2−2220000000000−22−i2i20000
χ312-22-22-22-22-2002-20002i−2i2i−2i00−2i2i00000-220000i2i2−i2−i222−2−20000000000−22−i2i20000
χ322-22-22-22-22-2002-20002i−2i2i−2i00−2i2i00000-220000−i2−i2i2i2−2−22200000000002−2i2−i20000
χ332-22-22-22-22-2002-2000−2i2i−2i2i002i−2i00000-220000i2i2−i2−i2−2−22200000000002−2−i2i20000
χ342-22-22-22-22-2002-2000−2i2i−2i2i002i−2i00000-220000−i2−i2i2i222−2−20000000000−22i2−i20000
χ352-22-22-22-22-2002-2000−2i2i−2i2i00−2i2i000002-20000i2i2−i2−i2−2−2220000000000−22i2−i20000
χ362-22-22-22-22-2002-2000−2i2i−2i2i00−2i2i000002-20000−i2−i2i2i222−2−200000000002−2−i2i20000
χ372-2-2-2-22222-22-2-222-2-20000200000000002-22-200002-22-2000000002-200000000
χ382-2-2-2-22222-22-2-222-2-20000200000000002-22-20000-22-2200000000-2200000000
χ392-2-2-2-22222-22-2-222-2-2000020000000000-22-2200002-22-200000000-2200000000
χ402-2-2-2-22222-22-2-222-2-2000020000000000-22-220000-22-22000000002-200000000
χ412-2-2-2-2222-22-222-2-22-20000200000000002-2-222-22-200002-20000000000000000
χ422-2-2-2-2222-22-222-2-22-20000200000000002-2-22-22-220000-220000000000000000
χ432-2-2-2-2222-22-222-2-22-2000020000000000-222-22-22-20000-220000000000000000
χ442-2-2-2-2222-22-222-2-22-2000020000000000-222-2-22-2200002-20000000000000000
χ45444-4-4-4-44004-400-440000000000000000000000000000000000000000002i2−2i200
χ46444-4-4-4-44004-400-44000000000000000000000000000000000000000000−2i22i200
χ47444-4-4-4-4400-44004-4000000000000000000000000000000000000000000002i2−2i2
χ48444-4-4-4-4400-44004-400000000000000000000000000000000000000000000−2i22i2
χ4944-44-4-44-44400-4-40000000000000000000000000022−22−2222000000000000000000
χ5044-44-4-44-44400-4-400000000000000000000000000−222222−22000000000000000000
χ5144-44-4-44-4-4-4004400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5244-44-4-44-4-4-400440000000000000000000000−2i22i22i2−2i20000000000000000000000
χ534-44-44-44-4-4400-440004i−4i−4i4i00000000000000000000000000000000000000000
χ544-44-44-44-4-4400-44000−4i4i4i−4i00000000000000000000000000000000000000000
χ554-4-444-4-44004400-4-4000000000004i−4i000000000000000000000000000000000
χ564-4-444-4-44004400-4-400000000000−4i4i000000000000000000000000000000000
χ574-4-444-4-4400-4-400440000000004-400000000000000000000000000000000000
χ584-4-444-4-4400-4-40044000000000-4400000000000000000000000000000000000
χ594-4-4-4-44444-4-44-44-4440000-40000000000000000000000000000000000000000
χ604-4-4-4-4444-444-44-44-440000-40000000000000000000000000000000000000000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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