Finite Group Databasebeta

← Group #350185

Character table — Group #350185

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444442244444444444444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-222-2-22222222222-2-2-2-20000-2-2-2000000000000000000000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-2220000-222000000000000000000000000000000
χ192222222222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-20000222000000000000000000000000000000
χ202222222222-2-222-2-2-2-222-2-2-2-22222-2-2-2-22200002-2-2000000000000000000000000000000
χ2122222222-2-222-2-22222-2-200000000-2-2-2-20022-2-2200-2-22200000000000000000000000000
χ2222222222-2-222-2-22222-2-200000000-2-2-2-200-2-22220022-2-200000000000000000000000000
χ2322222222-2-222-2-222-2-2220000000022-2-2002222-200-2-2-2-200000000000000000000000000
χ2422222222-2-222-2-222-2-2220000000022-2-200-2-2-2-2-200222200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200000000-2-222000000-200000022-2-222-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222200000000-2-222000000-2000000-2-222-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000200000022-2-2-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000002000000-2-22222-2-2000000000000000000
χ2922-2-22-22-22-22-22-22-2000000002i2i−2i−2i002-200002i−2i02i−2i002i−2i2-22-20000000000000000000000
χ3022-2-22-22-22-22-22-22-2000000002i2i−2i−2i002-20000−2i2i02i−2i00−2i2i-22-220000000000000000000000
χ3122-2-22-22-22-22-22-22-200000000−2i−2i2i2i002-200002i−2i0−2i2i002i−2i-22-220000000000000000000000
χ3222-2-22-22-22-22-22-22-200000000−2i−2i2i2i002-20000−2i2i0−2i2i00−2i2i2-22-20000000000000000000000
χ3322-2-22-22-22-2-222-2-22000000002i2i−2i−2i00-22002i−2i000−2i2i2i−2i0000002-22-2000000000000000000
χ3422-2-22-22-22-2-222-2-22000000002i2i−2i−2i00-2200−2i2i000−2i2i−2i2i000000-22-22000000000000000000
χ3522-2-22-22-22-2-222-2-2200000000−2i−2i2i2i00-22002i−2i0002i−2i2i−2i000000-22-22000000000000000000
χ3622-2-22-22-22-2-222-2-2200000000−2i−2i2i2i00-2200−2i2i0002i−2i−2i2i0000002-22-2000000000000000000
χ3722-2-22-22-2-222-2-222-200002i2i−2i−2i000000-222i−2i002i−2i00000−2i2i00002-2-22000000000000000000
χ3822-2-22-22-2-222-2-222-200002i2i−2i−2i000000-222i−2i00−2i2i000002i−2i0000-222-2000000000000000000
χ3922-2-22-22-2-222-2-222-20000−2i−2i2i2i000000-22−2i2i002i−2i00000−2i2i0000-222-2000000000000000000
χ4022-2-22-22-2-222-2-222-20000−2i−2i2i2i000000-22−2i2i00−2i2i000002i−2i00002-2-22000000000000000000
χ4122-2-22-22-2-22-22-22-2200002i2i−2i−2i0000002-2−2i2i2i−2i00000−2i2i00-222-20000000000000000000000
χ4222-2-22-22-2-22-22-22-2200002i2i−2i−2i0000002-2−2i2i−2i2i000002i−2i002-2-220000000000000000000000
χ4322-2-22-22-2-22-22-22-220000−2i−2i2i2i0000002-22i−2i2i−2i00000−2i2i002-2-220000000000000000000000
χ4422-2-22-22-2-22-22-22-220000−2i−2i2i2i0000002-22i−2i−2i2i000002i−2i00-222-20000000000000000000000
χ452-2-2-222-222200-2-2002-2002i−2i2i−2i2i−2i2i−2i2-200000000000000000000000i2i2−i2−i2i2i2−i2−i22−22−2000000
χ462-2-2-222-222200-2-2002-2002i−2i2i−2i2i−2i2i−2i2-200000000000000000000000−i2−i2i2i2−i2−i2i2i2−22−22000000
χ472-2-2-222-222200-2-2002-200−2i2i−2i2i−2i2i−2i2i2-200000000000000000000000i2i2−i2−i2i2i2−i2−i2−22−22000000
χ482-2-2-222-222200-2-2002-200−2i2i−2i2i−2i2i−2i2i2-200000000000000000000000−i2−i2i2i2−i2−i2i2i22−22−2000000
χ492-2-2-222-222200-2-200-22002i−2i2i−2i−2i2i−2i2i-2200000000000000000000000i2i2−i2−i2−i2−i2i2i22−2−22000000
χ502-2-2-222-222200-2-200-22002i−2i2i−2i−2i2i−2i2i-2200000000000000000000000−i2−i2i2i2i2i2−i2−i2−222−2000000
χ512-2-2-222-222200-2-200-2200−2i2i−2i2i2i−2i2i−2i-2200000000000000000000000i2i2−i2−i2−i2−i2i2i2−222−2000000
χ522-2-2-222-222200-2-200-2200−2i2i−2i2i2i−2i2i−2i-2200000000000000000000000−i2−i2i2i2i2i2−i2−i22−2−22000000
χ53444-4-44-4-400000000004-40000000000000000000000000000000002-22-22-22-20000000000
χ54444-4-44-4-400000000004-4000000000000000000000000000000000-22-22-22-220000000000
χ55444-4-44-4-40000000000-440000000000000000000000000000000002-22-2-22-220000000000
χ56444-4-44-4-40000000000-44000000000000000000000000000000000-22-222-22-20000000000
χ574-4444-4-4-44-400-4400000000004-4-440000000000000000000000000000000000000000000
χ584-4444-4-4-44-400-440000000000-444-40000000000000000000000000000000000000000000
χ594-4444-4-4-4-44004-40000004-4-4400000000000000000000000000000000000000000000000
χ604-4444-4-4-4-44004-4000000-444-400000000000000000000000000000000000000000000000
χ614-44-4-4-444004400-4-40000000000000000000000000000000000000000000000000002i2−2i200
χ624-44-4-4-444004400-4-4000000000000000000000000000000000000000000000000000−2i22i200
χ634-44-4-4-44400-4-40044000000000000000000000000000000000000000000000000022−220000
χ644-44-4-4-44400-4-400440000000000000000000000000000000000000000000000000−22220000
χ654-4-44-444-4004-400-4400000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ664-4-44-444-4004-400-440000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ674-4-44-444-400-44004-4000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ684-4-44-444-400-44004-400000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ694-4-4-444-44-4-40044004-40000000000-4400000000000000000000000000000000000000000
χ704-4-4-444-44-4-4004400-4400000000004-400000000000000000000000000000000000000000
χ7188-88-8-8-88000000000000000000000000000000000000000000000000000000000000000

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