Finite Group Databasebeta

← Group #258454

Character table — Group #258454

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442244444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-11-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-111-1-111-1-111-1-1
χ611111111111111111111-1-11-1-1-1-11-1-1-1-1-111-1-111-1-1-1-11111-1-11-11111-1-1-1-111-1-111
χ711111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-1-11111-1-1-1-111
χ811111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-1-111-1-11111-1-1
χ91111111111111111-1-1-1-111111111-1-11-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ101111111111111111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ111111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ131111111111111111-1-1-1-1-1-11-1-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-11-1-1-1-1111-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-1-1-111
χ151111111111111111-1-1-1-1-1-11-1-1-1-1111-111-1-111-1-11111-1-1-1-111-11-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-11-1-1-1-1111-111-1-111-1-1-1-1-1-11111-1-1-111111-1-111-1-111-1-1
χ172222222222-2-222-2-2222222-2-2-2-2-2-2222-2-20000-2-200000000000000000000000000
χ182222222222-2-222-2-22222-2-2-22222-2-2-2-2220000-2-200000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-222200002200000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-22222-222-2-2-200002200000000000000000000000000
χ2122222222-2-222-2-222000022-2-2-222-200-2002222000000000000-2-200000000000000
χ2222222222-2-222-2-222000022-2-2-222-200-200-2-2-2-20000000000002200000000000000
χ2322222222-2-222-2-2220000-2-2-222-2-2-20020022-2-2000000000000-2200000000000000
χ2422222222-2-222-2-2220000-2-2-222-2-2-200200-2-2220000000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-2000022222-2-2200-200000000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-2000022222-2-2200-20000000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-20000-2-22-2-222200200000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-20000-2-22-2-22220020000000000000000000000-222-200000000
χ2922-2-22-22-22-2222-2-2-22i2i−2i−2i00-2000020000000002i−2i0000000000002i−2i00000000002-2
χ3022-2-22-22-22-2222-2-2-22i2i−2i−2i00-2000020000000002i−2i000000000000−2i2i0000000000-22
χ3122-2-22-22-22-2222-2-2-2−2i−2i2i2i00-200002000000000−2i2i0000000000002i−2i0000000000-22
χ3222-2-22-22-22-2222-2-2-2−2i−2i2i2i00-200002000000000−2i2i000000000000−2i2i00000000002-2
χ3322-2-22-22-22-2-2-22-2222i2i−2i−2i0020000-2000000000−2i2i000000002-20000000000002i−2i00
χ3422-2-22-22-22-2-2-22-2222i2i−2i−2i0020000-2000000000−2i2i00000000-22000000000000−2i2i00
χ3522-2-22-22-22-2-2-22-222−2i−2i2i2i0020000-20000000002i−2i000000002-2000000000000−2i2i00
χ3622-2-22-22-22-2-2-22-222−2i−2i2i2i0020000-20000000002i−2i00000000-220000000000002i−2i00
χ3722-2-2-22-222200-2-2002i−2i2i−2i0002-22-200002i−2i00000022−2−222−2−20000000000i2−i2i2−i20000
χ3822-2-2-22-222200-2-2002i−2i2i−2i0002-22-200002i−2i000000−2−222−2−2220000000000−i2i2−i2i20000
χ3922-2-2-22-222200-2-2002i−2i2i−2i000-22-220000−2i2i00000022−2−2−2−2220000000000i2−i2−i2i20000
χ4022-2-2-22-222200-2-2002i−2i2i−2i000-22-220000−2i2i000000−2−22222−2−20000000000−i2i2i2−i20000
χ4122-2-2-22-222200-2-200−2i2i−2i2i0002-22-20000−2i2i00000022−2−222−2−20000000000−i2i2−i2i20000
χ4222-2-2-22-222200-2-200−2i2i−2i2i0002-22-20000−2i2i000000−2−222−2−2220000000000i2−i2i2−i20000
χ4322-2-2-22-222200-2-200−2i2i−2i2i000-22-2200002i−2i00000022−2−2−2−2220000000000−i2i2i2−i20000
χ4422-2-2-22-222200-2-200−2i2i−2i2i000-22-2200002i−2i000000−2−22222−2−20000000000i2−i2−i2i20000
χ454444-4-4-4-44-400-44004-4-44000000000000000000000000000000000000000000000
χ464444-4-4-4-44-400-4400-444-4000000000000000000000000000000000000000000000
χ474444-4-4-4-4-44004-4000000000000004-400000000000000000000000000000000000
χ484444-4-4-4-4-44004-400000000000000-4400000000000000000000000000000000000
χ4944-4-44-44-4-4444-44-4-400000040000-40000000000000000000000000000000000000
χ5044-4-44-44-4-44-4-4-4444000000-4000040000000000000000000000000000000000000
χ5144-4-4-44-44-4-400440000000004-4-4400000000000000000000000000000000000000
χ5244-4-4-44-44-4-40044000000000-444-400000000000000000000000000000000000000
χ534-44-4-444-4004-4004-40000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ544-44-4-444-4004-4004-4000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ554-44-4-444-400-4400-44000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ564-44-4-444-400-4400-4400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ574-4-4444-4-40000000000004-4000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ584-4-4444-4-40000000000004-400000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ594-4-4444-4-4000000000000-44000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ604-4-4444-4-4000000000000-4400000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ614-4-44-4-444004-400-44000000000000000004-4000000000000000000000000000000
χ624-4-44-4-444004-400-4400000000000000000-44000000000000000000000000000000
χ634-4-44-4-44400-44004-400000000000000000004-40000000000000000000000000000
χ644-4-44-4-44400-44004-40000000000000000000-440000000000000000000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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