Finite Group Databasebeta

← Group #350110

Character table — Group #350110

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222444444444444244444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-1111111-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-1111111-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-11
χ17222222222222-2-2-2-2-2-222-222220000-2-2-2-200000000000000000000000000
χ18222222222222-2-2-2-2-2-222-2-2-2-2-20000222200000000000000000000000000
χ192222222222-2-222-2-222-2-2-200000000000022-2-222-2-2000000000000000000
χ202222222222-2-222-2-222-2-2-2000000000000-2-222-2-222000000000000000000
χ212222222222-2-2-2-222-2-2-2-22000022-2-2000000000000-2-22200000000000000
χ222222222222-2-2-2-222-2-2-2-220000-2-22200000000000022-2-200000000000000
χ2322222222-2-2222222-2-2-2-2-200002222000000000000-2-2-2-200000000000000
χ2422222222-2-2222222-2-2-2-2-20000-2-2-2-2000000000000222200000000000000
χ2522222222-2-222-2-2-2-222-2-2200000000000022-2-2-2-222000000000000000000
χ2622222222-2-222-2-2-2-222-2-22000000000000-2-22222-2-2000000000000000000
χ2722222222-2-2-2-222-2-2-2-222222-2-20000-2-22200000000000000000000000000
χ2822222222-2-2-2-222-2-2-2-2222-2-222000022-2-200000000000000000000000000
χ292-22-22-2-220000002-22-22-20002i−2i002-2002i−2i2i−2i2i−2i0000002-200000000000000
χ302-22-22-2-220000002-22-22-20002i−2i00-22002i−2i−2i2i−2i2i000000-2200000000000000
χ312-22-22-2-220000002-22-22-2000−2i2i002-200−2i2i−2i2i−2i2i0000002-200000000000000
χ322-22-22-2-220000002-22-22-2000−2i2i00-2200−2i2i2i−2i2i−2i000000-2200000000000000
χ332-22-22-2-220000002-2-22-2202i−2i00002-22i−2i0000002i−2i2i−2i00-2200000000000000
χ342-22-22-2-220000002-2-22-2202i−2i0000-222i−2i000000−2i2i−2i2i002-200000000000000
χ352-22-22-2-220000002-2-22-220−2i2i00002-2−2i2i000000−2i2i−2i2i00-2200000000000000
χ362-22-22-2-220000002-2-22-220−2i2i0000-22−2i2i0000002i−2i2i−2i002-200000000000000
χ372-22-22-2-22000000-222-2-2202i−2i002-200−2i2i002i−2i−2i2i00002-20000000000000000
χ382-22-22-2-22000000-222-2-2202i−2i00-2200−2i2i00−2i2i2i−2i0000-220000000000000000
χ392-22-22-2-22000000-222-2-220−2i2i002-2002i−2i00−2i2i2i−2i00002-20000000000000000
χ402-22-22-2-22000000-222-2-220−2i2i00-22002i−2i002i−2i−2i2i0000-220000000000000000
χ412-22-22-2-22000000-22-222-20002i−2i2-20000−2i2i0000−2i2i2i−2i-220000000000000000
χ422-22-22-2-22000000-22-222-20002i−2i-220000−2i2i00002i−2i−2i2i2-20000000000000000
χ432-22-22-2-22000000-22-222-2000−2i2i2-200002i−2i00002i−2i−2i2i-220000000000000000
χ442-22-22-2-22000000-22-222-2000−2i2i-2200002i−2i0000−2i2i2i−2i2-20000000000000000
χ45444-4-44-4-44-40000000000000000000000000000000000000002-22-2000000
χ46444-4-44-4-44-4000000000000000000000000000000000000000-22-22000000
χ47444-4-44-4-4-440000000000000000000000000000000000000002-2-22000000
χ48444-4-44-4-4-44000000000000000000000000000000000000000-222-2000000
χ4944-444-4-4-4004-40000000000000000000000000000000002-22-20000000000
χ5044-444-4-4-4004-4000000000000000000000000000000000-22-220000000000
χ5144-444-4-4-400-440000000000000000000000000000000002-2-220000000000
χ5244-444-4-4-400-44000000000000000000000000000000000-222-20000000000
χ5344-4-4-4-44400004-40000000000000000000000000000000000000002i−2i2i−2i00
χ5444-4-4-4-44400004-4000000000000000000000000000000000000000−2i2i−2i2i00
χ5544-4-4-4-4440000-440000000000000000000000000000000000000002i−2i−2i2i00
χ5644-4-4-4-4440000-44000000000000000000000000000000000000000−2i2i2i−2i00
χ578-888-8-88-8000000000000000000000000000000000000000000000000000
χ588-8-88-88-88000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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