Finite Group Databasebeta

← Group #238503

Character table — Group #238503

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222222222222244444444444444448888888822244444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111
χ911111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-111-1-1
χ1011111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11-1-111-1-1111-1-11-1-111
χ1111111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-111-111-1-1
χ1211111111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-11-11-1-111
χ1311111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-111-1-1-1-111-111-1-1-111
χ1411111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1-11-1111-1-1
χ1511111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1-1-11111-1-11-11-1-1-111
χ1611111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1111-1-1111-1-1
χ17222222222222222222-2-2-2-2-2-2-2-20000000000000000000000002-22-200000000
χ18222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000-22-2200000000
χ1922222222222-2-2-2-22-2-2-2-22222-2-20000000000000000000000002-2-2200000000
χ2022222222222-2-2-2-22-2-2-2-22222-2-2000000000000000000000000-222-200000000
χ2122222222-2-2-22222-2-2-22-222-2-22-2000000000000000000220000000000-2-20000
χ2222222222-2-2-22222-2-2-22-222-2-22-2000000000000000000-2-20000000000220000
χ2322222222-2-2-22222-2-2-2-22-2-222-220000000000000000220000000000-2-2000000
χ2422222222-2-2-22222-2-2-2-22-2-222-220000000000000000-2-2000000000022000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2222-20000000000000000002-20000000000-220000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2222-2000000000000000000-2200000000002-20000
χ2722222222-2-2-2-2-2-2-2-222-2222-2-2-2200000000000000002-20000000000-22000000
χ2822222222-2-2-2-2-2-2-2-222-2222-2-2-220000000000000000-2200000000002-2000000
χ2922-2-2-2-22222-222-2-2-22-22-22-22-2-22000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ3022-2-2-2-22222-222-2-2-22-22-22-22-2-2200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ3122-2-2-2-22222-222-2-2-22-2-22-22-222-2000000000000000000000000000000002i−2i2i−2i
χ3222-2-2-2-22222-222-2-2-22-2-22-22-222-200000000000000000000000000000000−2i2i−2i2i
χ3322-2-2-2-22222-2-2-222-2-222-2-22-22-22000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ3422-2-2-2-22222-2-2-222-2-222-2-22-22-2200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ3522-2-2-2-22222-2-2-222-2-22-222-22-22-2000000000000000000000000000000002i−2i−2i2i
χ3622-2-2-2-22222-2-2-222-2-22-222-22-22-200000000000000000000000000000000−2i2i2i−2i
χ3722-2-2-2-222-2-2222-2-22-22222-2-22-2-2000000000000000000002i−2i2i−2i000000000000
χ3822-2-2-2-222-2-2222-2-22-22222-2-22-2-200000000000000000000−2i2i−2i2i000000000000
χ3922-2-2-2-222-2-2222-2-22-22-2-2-222-22222-2-222-2-20000000000000000000000000000
χ4022-2-2-2-222-2-2222-2-22-22-2-2-222-222-2-222-2-2220000000000000000000000000000
χ4122-2-2-2-222-2-22-2-22222-222-222-2-2-2000000000000000000002i−2i−2i2i000000000000
χ4222-2-2-2-222-2-22-2-22222-222-222-2-2-200000000000000000000−2i2i2i−2i000000000000
χ4322-2-2-2-222-2-22-2-22222-2-2-22-2-222222-2-2-2-2220000000000000000000000000000
χ4422-2-2-2-222-2-22-2-22222-2-2-22-2-2222-2-22222-2-20000000000000000000000000000
χ454444-4-4-4-40004-44-4000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ464444-4-4-4-40004-44-400000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ474444-4-4-4-4000-44-44000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ484444-4-4-4-4000-44-4400000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ4944-4-444-4-40004-4-44000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ5044-4-444-4-40004-4-4400000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ5144-4-444-4-4000-444-4000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ5244-4-444-4-4000-444-400000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ534-44-44-44-44-440000-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ544-44-44-44-44-440000-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ554-44-44-44-4-44-40000400000000000000000022−2222−22000000000000000000000000
χ564-44-44-44-4-44-400004000000000000000000−2222−2222000000000000000000000000
χ574-4-44-444-44-4-400004000000000000000000000022−22−222200000000000000000000
χ584-4-44-444-44-4-4000040000000000000000000000−222222−2200000000000000000000
χ594-4-44-444-4-4440000-40000000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-4-44-444-4-4440000-4000000000000000000−2i22i22i2−2i2000000000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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