Finite Group Databasebeta

← Group #348812

Character table — Group #348812

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444222222224444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111-1-1-1-111-1-1111111-1-11-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ911111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-1
χ1211111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11
χ1311111111111111111-1-11-1-1-1-111-1-1-1-111-1-111-11111-1-111-1-11111-1-1-1-111-1-1-1-111-11
χ1411111111111111111-1-11-1-1-1-111-1-1-1-111-1-111-11111-1-111-1-1-1-1-1-11111-1-11111-1-11-1
χ1511111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-11
χ1611111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1111-1
χ172222222222-2-222-2-2-222-2000000222-20000-2-2-200000022-2-2000000000000000000
χ182222222222-2-222-2-2-222-2000000-2-22-2000022-2000000-2-222000000000000000000
χ192222222222-2-222-2-2-2-2-2-200000022-220000222000000-2-2-2-2000000000000000000
χ202222222222-2-222-2-2-2-2-2-2000000-2-2-220000-2-220000002222000000000000000000
χ2122222222-2-222-2-222-222-200002200-22-2-2-2-200-20000220000000000000000000000
χ2222222222-2-222-2-222-222-20000-2-200-22222200-20000-2-20000000000000000000000
χ2322222222-2-222-2-222-2-2-2-2000022002-2-2-2220020000-2-20000000000000000000000
χ2422222222-2-222-2-222-2-2-2-20000-2-2002-222-2-20020000220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-2-2000000222-2-2000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2220000-2-20000002-2-222000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-2-2000022000000-2-2-222000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22-2-222000022000000-222-2-2000000000000000000000000
χ29222-2-2-2-222222-2-2-2-2-20022-22-2000000002i−2i2i−2i000002i−2i2i−2i00000000000000000000
χ30222-2-2-2-222222-2-2-2-2-20022-22-200000000−2i2i−2i2i00000−2i2i−2i2i00000000000000000000
χ31222-2-2-2-222222-2-2-2-2-2002-22-22000000002i−2i−2i2i000002i−2i−2i2i00000000000000000000
χ32222-2-2-2-222222-2-2-2-2-2002-22-2200000000−2i2i2i−2i00000−2i2i2i−2i00000000000000000000
χ33222-2-2-2-2222-2-2-2-222200-200002-200002-2002i−2i02i−2i2i−2i00−2i2i00000000000000000000
χ34222-2-2-2-2222-2-2-2-222200-200002-200002-200−2i2i0−2i2i−2i2i002i−2i00000000000000000000
χ35222-2-2-2-2222-2-2-2-222200-20000-220000-22002i−2i0−2i2i−2i2i00−2i2i00000000000000000000
χ36222-2-2-2-2222-2-2-2-222200-20000-220000-2200−2i2i02i−2i2i−2i002i−2i00000000000000000000
χ37222-2-2-2-22-2-22222-2-2200-20000002-200002i−2i0002i−2i−2i2i−2i2i002-2000000000000000000
χ38222-2-2-2-22-2-22222-2-2200-20000002-20000−2i2i000−2i2i2i−2i2i−2i002-2000000000000000000
χ39222-2-2-2-22-2-22222-2-2200-2000000-2200002i−2i000−2i2i2i−2i−2i2i00-22000000000000000000
χ40222-2-2-2-22-2-22222-2-2200-2000000-220000−2i2i0002i−2i−2i2i2i−2i00-22000000000000000000
χ41222-2-2-2-22-2-2-2-22222-20022-2-222-22-200-220000000000000-22000000000000000000
χ42222-2-2-2-22-2-2-2-22222-20022-2-22-22-22002-200000000000002-2000000000000000000
χ43222-2-2-2-22-2-2-2-22222-2002-222-22-2-2200-2200000000000002-2000000000000000000
χ44222-2-2-2-22-2-2-2-22222-2002-222-2-222-2002-20000000000000-22000000000000000000
χ4544-4-4-444-40000000004-400000000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000
χ4644-4-4-444-40000000004-40000000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000
χ4744-4-4-444-4000000000-4400000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ4844-4-4-444-4000000000-440000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ494-444-44-4-44-4004-400000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ504-444-44-4-44-4004-40000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ514-444-44-4-4-4400-440000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ524-444-44-4-4-4400-44000000000000000000000000000000000−2i22i2−2i22i200000000000000
χ534-44-44-44-44-400-440000000000000000000000000000000000000000000002i2−2i20000
χ544-44-44-44-44-400-44000000000000000000000000000000000000000000000−2i22i20000
χ554-44-44-44-4-44004-4000000000000000000000000000000000000000000000002i2−2i200
χ564-44-44-44-4-44004-400000000000000000000000000000000000000000000000−2i22i200
χ574-4-44-4-444004-4004-40000000000000000000000000000000000000000022−22000000
χ584-4-44-4-444004-4004-400000000000000000000000000000000000000000−2222000000
χ594-4-44-4-44400-4400-4400000000000000000000000000000000000000022−2200000000
χ604-4-44-4-44400-4400-44000000000000000000000000000000000000000−222200000000
χ614-4-4-444-44004-400-44000000000000000000000000000000022−22−222200000000000000
χ624-4-4-444-44004-400-440000000000000000000000000000000−222222−2200000000000000
χ634-4-4-444-4400-44004-40000000000000000000000000000000000022−22−22220000000000
χ644-4-4-444-4400-44004-400000000000000000000000000000000000−222222−220000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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