Finite Group Databasebeta

← Group #349391

Character table — Group #349391

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-111-1-1111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-11-1-11111-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-111-1-1-1-11-1-11111-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ911111111111111-1-1-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1
χ1411111111111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111
χ1511111111111111-1-1-1-111-1-1-1-1-1-111-111-1-11111-1-1-11111-1-111-1-111-1-1-1-111-1-111
χ1611111111111111-1-1-1-111-1-1-1-1-1-111-111-1-11111-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-2000000222000000-2-2-2220000-2-20000000000000000
χ18222222222222-2-222-2-2-2-2000000-2-2200000022-2-2-20000220000000000000000
χ19222222222222-2-2-2-222-2-200000022-2000000-2-22-2-20000220000000000000000
χ20222222222222-2-2-2-222-2-2000000-2-2-2000000222220000-2-20000000000000000
χ2122222222-2-2-2-22-222222-22200-2-200-222000000-200-2-200000000000000000000
χ2222222222-2-2-2-22-222222-2-2-2002200-2-2-2000000-2002200000000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-22200-2-2002-2-20000002002200000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2-2-2002200222000000200-2-200000000000000000000
χ2522222222-2-2-2-2-2222-2-2-2200220000-200-2-2220020000-2-2000000000000000000
χ2622222222-2-2-2-2-2222-2-2-2200-2-20000-20022-2-2002000022000000000000000000
χ2722222222-2-2-2-2-22-2-222-2200220000200-2-2-2-200-2000022000000000000000000
χ2822222222-2-2-2-2-22-2-222-2200-2-20000200222200-20000-2-2000000000000000000
χ292-2222-2-2-222-2-2220000-2-22-22-22-22-20002-2002-20000000000000000000000000
χ302-2222-2-2-222-2-2220000-2-22-2-222-2-22000-2200-220000000000000000000000000
χ312-2222-2-2-222-2-2220000-2-2-222-2-22-220002-200-220000000000000000000000000
χ322-2222-2-2-222-2-2220000-2-2-22-22-222-2000-22002-20000000000000000000000000
χ332-2222-2-2-222-2-2-2-20000220000002-202i−2i002i−2i-220002i−2i2i−2i000000000000000000
χ342-2222-2-2-222-2-2-2-20000220000002-20−2i2i00−2i2i-22000−2i2i−2i2i000000000000000000
χ352-2222-2-2-222-2-2-2-2000022000000-2202i−2i00−2i2i2-20002i−2i−2i2i000000000000000000
χ362-2222-2-2-222-2-2-2-2000022000000-220−2i2i002i−2i2-2000−2i2i2i−2i000000000000000000
χ372-2222-2-2-2-2-2222-20000-222-200-2200000002i−2i0002i−2i00−2i2i2i−2i0000000000000000
χ382-2222-2-2-2-2-2222-20000-222-200-220000000−2i2i000−2i2i002i−2i−2i2i0000000000000000
χ392-2222-2-2-2-2-2222-20000-22-22002-200000002i−2i000−2i2i00−2i2i−2i2i0000000000000000
χ402-2222-2-2-2-2-2222-20000-22-22002-20000000−2i2i0002i−2i002i−2i2i−2i0000000000000000
χ412-2222-2-2-2-2-222-2200002-2002-2000002i−2i-22000002i−2i−2i2i00−2i2i0000000000000000
χ422-2222-2-2-2-2-222-2200002-2002-200000−2i2i-2200000−2i2i2i−2i002i−2i0000000000000000
χ432-2222-2-2-2-2-222-2200002-200-22000002i−2i2-200000−2i2i−2i2i002i−2i0000000000000000
χ442-2222-2-2-2-2-222-2200002-200-2200000−2i2i2-2000002i−2i2i−2i00−2i2i0000000000000000
χ45444-4-44-4-40000004-400000000000000000000000000000000002-22-200000000
χ46444-4-44-4-40000004-40000000000000000000000000000000000-22-2200000000
χ47444-4-44-4-4000000-4400000000000000000000000000000000002-2-2200000000
χ48444-4-44-4-4000000-440000000000000000000000000000000000-222-200000000
χ4944-44-4-44-44-44-400000000000000000000000000000000000000000022−22000000
χ5044-44-4-44-44-44-4000000000000000000000000000000000000000000−2222000000
χ5144-44-4-44-4-44-44000000000000000000000000000000000000000000002i2−2i20000
χ5244-44-4-44-4-44-4400000000000000000000000000000000000000000000−2i22i20000
χ5344-4-44-4-44000000004i−4i00000000000000000000000000002i−2i2-2000000000000
χ5444-4-44-4-44000000004i−4i0000000000000000000000000000−2i2i-22000000000000
χ5544-4-44-4-4400000000−4i4i00000000000000000000000000002i−2i-22000000000000
χ5644-4-44-4-4400000000−4i4i0000000000000000000000000000−2i2i2-2000000000000
χ574-4-44-44-444-4-44000000000000000000000000000000000000000000000022−2200
χ584-4-44-44-444-4-440000000000000000000000000000000000000000000000−222200
χ594-4-44-44-44-444-40000000000000000000000000000000000000000000000002i2−2i2
χ604-4-44-44-44-444-4000000000000000000000000000000000000000000000000−2i22i2
χ618-88-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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