Finite Group Databasebeta

← Group #329189

Character table — Group #329189

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444444444448888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-11-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-11-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-1111111111-1-1-1-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111111-1-1-1-1111-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ1111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-11
χ1211111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111111-1-1-1-11-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ1411111111-1-1-1-1111111111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111111-1-1-1-11-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111111-1-1-1-11-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ17222222222222222-2-2-22-2-222-2-2-222-2220000-2-200-2-2000000000000000000000000
χ18222222222222222-2-2-22-2-222-2-2-2-2-2-2-2-20000220022000000000000000000000000
χ19222222222222-2-2-2222-22-2-2-222-200-200222200-2-200-2-20000000000000000000000
χ20222222222222-2-2-2222-22-2-2-222-200-200-2-2-2-2002200220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-22-2-2-2-2200200000000000000000000002-22-20000000000
χ22222222222222-2-2-2-2-2-2-2-22-2-2-2-220020000000000000000000000-22-220000000000
χ2322222222-2-2-2-2222-2-2-22-2-2-2-222-2222-2-20000-2-20022000000000000000000000000
χ2422222222-2-2-2-2222-2-2-22-2-2-2-222-2-2-222200002200-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2222-22-222-2-2-20020022-2-200-2-200220000000000000000000000
χ2622222222-2-2-2-2-2-2-2222-22-222-2-2-200200-2-222002200-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000-222-20000000000
χ2922-2-222-2-222-2-22-2-20002002-20000000000002i−2i002i−2i00i2i2−i2−i2i2i2−i2−i200002−22−2000000
χ3022-2-222-2-222-2-22-2-20002002-20000000000002i−2i002i−2i00−i2−i2i2i2−i2−i2i2i20000−22−22000000
χ3122-2-222-2-222-2-22-2-20002002-2000000000000−2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i20000−22−22000000
χ3222-2-222-2-222-2-22-2-20002002-2000000000000−2i2i00−2i2i00−i2−i2i2i2−i2−i2i2i200002−22−2000000
χ3322-2-222-2-2-2-2222-2-2000200-220000000000002i−2i00−2i2i00i2i2−i2−i2−i2−i2i2i200002−2−22000000
χ3422-2-222-2-2-2-2222-2-2000200-220000000000002i−2i00−2i2i00−i2−i2i2i2i2i2−i2−i20000−222−2000000
χ3522-2-222-2-2-2-2222-2-2000200-22000000000000−2i2i002i−2i00i2i2−i2−i2−i2−i2i2i20000−222−2000000
χ3622-2-222-2-2-2-2222-2-2000200-22000000000000−2i2i002i−2i00−i2−i2i2i2i2i2−i2−i200002−2−22000000
χ3722-2-2-2-2222-22-200022-20-20002-20000002i−2i2i−2i00000000i2−i2i2−i2i2−i2i2−i2000000002−22−200
χ3822-2-2-2-2222-22-200022-20-20002-20000002i−2i2i−2i00000000−i2i2−i2i2−i2i2−i2i200000000−22−2200
χ3922-2-2-2-2222-22-200022-20-20002-2000000−2i2i−2i2i00000000i2−i2i2−i2i2−i2i2−i200000000−22−2200
χ4022-2-2-2-2222-22-200022-20-20002-2000000−2i2i−2i2i00000000−i2i2−i2i2−i2i2−i2i2000000002−22−200
χ4122-2-2-2-222-22-2200022-20-2000-220000002i−2i−2i2i00000000i2−i2i2−i2−i2i2−i2i2000000002−2−2200
χ4222-2-2-2-222-22-2200022-20-2000-220000002i−2i−2i2i00000000−i2i2−i2i2i2−i2i2−i200000000−222−200
χ4322-2-2-2-222-22-2200022-20-2000-22000000−2i2i2i−2i00000000i2−i2i2−i2−i2i2−i2i200000000−222−200
χ4422-2-2-2-222-22-2200022-20-2000-22000000−2i2i2i−2i00000000−i2i2−i2i2i2−i2i2−i2000000002−2−2200
χ454444-4-4-4-44-4-4400000000000000000000000000000002-2-222-2-2200000000000000
χ464444-4-4-4-44-4-440000000000000000000000000000000-222-2-222-200000000000000
χ474444-4-4-4-4-444-400000000000000000000000000000002-2-22-222-200000000000000
χ484444-4-4-4-4-444-40000000000000000000000000000000-222-22-2-2200000000000000
χ4944-4-444-4-444-4-4-444000-400-44000000000000000000000000000000000000000000
χ5044-4-444-4-4-4-444-444000-4004-4000000000000000000000000000000000000000000
χ5144-4-4-4-4444-44-4000-4-4404000-440000000000000000000000000000000000000000
χ5244-4-4-4-444-44-44000-4-44040004-40000000000000000000000000000000000000000
χ534-44-44-44-400000004-440-4000000000000000004-400000000000000000000000000
χ544-44-44-44-400000004-440-400000000000000000-4400000000000000000000000000
χ554-44-44-44-40000000-44-4040000000000000000000004i−4i0000000000000000000000
χ564-44-44-44-40000000-44-404000000000000000000000−4i4i0000000000000000000000
χ574-44-4-44-44000044-4000-400000000004i−4i0000000000000000000000000000000000
χ584-44-4-44-44000044-4000-40000000000−4i4i0000000000000000000000000000000000
χ594-44-4-44-440000-4-44000400000004-40000000000000000000000000000000000000
χ604-44-4-44-440000-4-4400040000000-440000000000000000000000000000000000000
χ614-4-44-444-400004-444-4-4-4440000-4000000000000000000000000000000000000000
χ624-4-44-444-400004-44-444-4-4-400004000000000000000000000000000000000000000
χ634-4-44-444-40000-44-44-4-444-400004000000000000000000000000000000000000000
χ644-4-44-444-40000-44-4-4444-440000-4000000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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