Finite Group Databasebeta

← Group #346439

Character table — Group #346439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222222444444222222244444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ9111111111111-1-1-1-11111-111-1-111-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-111-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-111-1-1-1-111-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-111-1-1-1-111-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ14111111111111-1-1-1-11111-1-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ15111111111111-1-1-1-11111-1-1-111-1-111-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111
χ16111111111111-1-1-1-11111-1-1-111-1-111-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2200000000-20000000022-2-222-2-20000000000000000
χ1822222222222222-2-2-2-2-2-2200000000-200000000-2-222-2-2220000000000000000
χ19222222222222-2-222-2-2-2-2-20000000020000000022-2-2-2-2220000000000000000
χ20222222222222-2-222-2-2-2-2-200000000200000000-2-22222-2-20000000000000000
χ2122222222-2-2-2-2222222-2-2-222220000-2-2-2-2-20000000000000000000000000000
χ2222222222-2-2-2-2222222-2-2-2-2-2-2-20000-222220000000000000000000000000000
χ2322222222-2-2-2-222-2-2-2-222-20000222220000-2-2-2-2000000000000000000000000
χ2422222222-2-2-2-222-2-2-2-222-20000-2-2-2-2200002222000000000000000000000000
χ2522222222-2-2-2-2-2-222-2-2222000022-2-2-20000-2-222000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-22220000-2-222-2000022-2-2000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2222-2-200002-2-2220000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22-2-2220000222-2-20000000000000000000000000000
χ292-2-2-2-22222-22-200002-22-20002-2002-20002-2002-22-22-200000000000000000000
χ302-2-2-2-22222-22-200002-22-20002-200-220002-200-22-22-2200000000000000000000
χ312-2-2-2-22222-22-200002-22-2000-22002-2000-22002-2-22-2200000000000000000000
χ322-2-2-2-22222-22-200002-22-2000-2200-22000-2200-222-22-200000000000000000000
χ332-2-2-2-22222-22-20000-22-2202-2002-20002-2002-2002-2-2200000000000000000000
χ342-2-2-2-22222-22-20000-22-2202-200-220002-200-2200-222-200000000000000000000
χ352-2-2-2-22222-22-20000-22-220-22002-2000-22002-200-222-200000000000000000000
χ362-2-2-2-22222-22-20000-22-220-2200-22000-2200-22002-2-2200000000000000000000
χ372-2-2-2-2222-22-2200002-2-220002-22-200000-22-220000002-22-20000000000000000
χ382-2-2-2-2222-22-2200002-2-220002-2-2200000-222-2000000-22-220000000000000000
χ392-2-2-2-2222-22-2200002-2-22000-222-2000002-2-22000000-22-220000000000000000
χ402-2-2-2-2222-22-2200002-2-22000-22-22000002-22-20000002-22-20000000000000000
χ412-2-2-2-2222-22-220000-222-202-200002-20-220000-2200002-2-220000000000000000
χ422-2-2-2-2222-22-220000-222-202-20000-220-2200002-20000-222-20000000000000000
χ432-2-2-2-2222-22-220000-222-20-2200002-202-20000-220000-222-20000000000000000
χ442-2-2-2-2222-22-220000-222-20-220000-2202-200002-200002-2-220000000000000000
χ45444-4-4-44-40000004-40000000000000000000000000000002i−2i2i−2i000000000000
χ46444-4-4-44-40000004-4000000000000000000000000000000−2i2i−2i2i000000000000
χ47444-4-4-44-4000000-440000000000000000000000000000002i−2i−2i2i000000000000
χ48444-4-4-44-4000000-44000000000000000000000000000000−2i2i2i−2i000000000000
χ4944-44-4-4-444-4-44000000000000000000000000000000000000000000002i2−2i20000
χ5044-44-4-4-444-4-4400000000000000000000000000000000000000000000−2i22i20000
χ5144-44-4-4-44-444-40000000000000000000000000000000000000000002i2−2i2000000
χ5244-44-4-4-44-444-4000000000000000000000000000000000000000000−2i22i2000000
χ5344-4-444-4-400004-40000000000000000000000000000000000002i−2i2i−2i00000000
χ5444-4-444-4-400004-4000000000000000000000000000000000000−2i2i−2i2i00000000
χ5544-4-444-4-40000-440000000000000000000000000000000000002i−2i−2i2i00000000
χ5644-4-444-4-40000-44000000000000000000000000000000000000−2i2i2i−2i00000000
χ574-44-44-4-4444-4-40000000000000000000000000000000000000000000000002i2−2i2
χ584-44-44-4-4444-4-4000000000000000000000000000000000000000000000000−2i22i2
χ594-44-44-4-44-4-444000000000000000000000000000000000000000000000022−2200
χ604-44-44-4-44-4-4440000000000000000000000000000000000000000000000−222200
χ618-888-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-888-88-8000000000000000000000000000000000000000000000000000000

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