Finite Group Databasebeta

← Group #503825

Character table — Group #503825

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12442224448888888888224444888816161616161616164444888888881616161688
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111111111111111-1-1-1-111111-1-111-1-11111-1-1-1-11-11111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-111-1-111-1-1-1-111-11
χ11111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-1-1-111-11
χ12111111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-11-1-1-1-11111-1-111-1-11-1
χ13111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-111111111-1-1-11
χ14111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-111-1-111-1-1111-1
χ15111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-11111-1-1111-1
χ16111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-111111-1-1-1-11111-1-1-11
χ172222222222-2-2-2-2-22222-20000-2-2222200000000-2-20000000000000000
χ182222222222-2-2-2-2-22222-20000-2-2-2-2-2-200000000220000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-200002222-2-200000000-220000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2000022-2-222000000002-20000000000000000
χ212222-22-22-2-2-2-2-2-22000022-22-20000002i2i−2i−2i0000002i−2i00000000000000
χ222222-22-22-2-2-2-2-2-22000022-22-2000000−2i−2i2i2i000000−2i2i00000000000000
χ232222-22-22-2-2-2-2-2-2200002-22-220000002i2i−2i−2i000000−2i2i00000000000000
χ242222-22-22-2-2-2-2-2-2200002-22-22000000−2i−2i2i2i0000002i−2i00000000000000
χ2522-2-22-2-222-222-2-2222-2-2-22-2-222-200000000000000000000002-2000000
χ2622-2-22-2-222-222-2-2222-2-2-2-222-22-20000000000000000000000-22000000
χ2722-2-22-2-222-222-2-22-2-222-22-2-22-220000000000000000000000-22000000
χ2822-2-22-2-222-222-2-22-2-222-2-222-2-2200000000000000000000002-2000000
χ2922-2-22-2-222-2-2-222-222-2-220000-2200000000000000002i−2i2i−2i0000000000
χ3022-2-22-2-222-2-2-222-222-2-220000-220000000000000000−2i2i−2i2i0000000000
χ3122-2-22-2-222-2-2-222-2-2-222200002-200000000000000002i−2i−2i2i0000000000
χ3222-2-22-2-222-2-2-222-2-2-222200002-20000000000000000−2i2i2i−2i0000000000
χ3322-2-2-22-2-222000002-22-200000002i−2i2i−2ii2−i2i2−i2i2i2−i2−i20000000000002−22−200
χ3422-2-2-22-2-222000002-22-200000002i−2i2i−2i−i2i2−i2i2−i2−i2i2i2000000000000−22−2200
χ3522-2-2-22-2-222000002-22-20000000−2i2i−2i2ii2−i2i2−i2i2i2−i2−i2000000000000−22−2200
χ3622-2-2-22-2-222000002-22-20000000−2i2i−2i2i−i2i2−i2i2−i2−i2i2i20000000000002−22−200
χ3722-2-2-22-2-22200000-22-2200000002i−2i−2i2ii2−i2i2−i2−i2−i2i2i20000000000002−2−2200
χ3822-2-2-22-2-22200000-22-2200000002i−2i−2i2i−i2i2−i2i2i2i2−i2−i2000000000000−222−200
χ3922-2-2-22-2-22200000-22-220000000−2i2i2i−2ii2−i2i2−i2−i2−i2i2i2000000000000−222−200
χ4022-2-2-22-2-22200000-22-220000000−2i2i2i−2i−i2i2−i2i2i2i2−i2−i20000000000002−2−2200
χ4122-2-2-2-222-22-2-22220000-222-2-200000000002i−2i2i−2i000000002i−2i00000000
χ4222-2-2-2-222-22-2-22220000-222-2-20000000000−2i2i−2i2i00000000−2i2i00000000
χ4322-2-2-2-222-22-2-22220000-2-2-22200000000002i−2i2i−2i00000000−2i2i00000000
χ4422-2-2-2-222-22-2-22220000-2-2-2220000000000−2i2i−2i2i000000002i−2i00000000
χ4544444-4-4-4-4400000000000000000000000022−22−2222000000000000000000
χ4644444-4-4-4-44000000000000000000000000−222222−22000000000000000000
χ474444-44-44-4-44444-40000-4000000000000000000000000000000000000
χ484444-4-44-44-4000004-4-440000000000000000000000000000000000000
χ494444-4-44-44-400000-444-40000000000000000000000000000000000000
χ5044-4-4444-4-4-40000000000000000000022−22−22220000000000000000000000
χ5144-4-4444-4-4-400000000000000000000−222222−220000000000000000000000
χ5244-4-4-4-444-4444-4-4-400004000000000000000000000000000000000000
χ538-88i−8i0000004i2−4i242−42000000000000000000000000000000000000000000
χ548-88i−8i000000−4i24i2−4242000000000000000000000000000000000000000000
χ558-8−8i8i0000004i2−4i2−4242000000000000000000000000000000000000000000
χ568-8−8i8i000000−4i24i242−42000000000000000000000000000000000000000000

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