Finite Group Databasebeta

← Group #458579

Character table — Group #458579

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ9111111111111111111-1-1-1-111-1-111-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111
χ13111111111111111111-1-1-1-1-1-111-1-1111111-1-11111-1-111-1-111-1-1-1-111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111
χ16111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1
χ1722222-2-22-2-22-2-222-2-220000002200-2-2000000000000000000002-2002-2
χ1822222-2-22-2-22-2-222-2-220000002200-2-200000000000000000000-2200-22
χ1922222-2-22-2-22-2-222-2-22000000-2-20022000000000000000000002-200-22
χ2022222-2-22-2-22-2-222-2-22000000-2-2002200000000000000000000-22002-2
χ212222-22-2-22-22-2-2-2-222200002200-2-2000000000000000000002-2002-200
χ222222-22-2-22-22-2-2-2-222200002200-2-200000000000000000000-2200-2200
χ232222-22-2-22-22-2-2-2-22220000-2-20022000000000000000000002-200-2200
χ242222-22-2-22-22-2-2-2-22220000-2-2002200000000000000000000-22002-200
χ252222-2-22-2-22-2-2-22222-222-2-20000000022-2-22-200000000000000000000
χ262222-2-22-2-22-2-2-22222-222-2-200000000-2-222-2200000000000000000000
χ272222-2-22-2-22-2-2-22222-2-2-2220000000022-2-2-2200000000000000000000
χ282222-2-22-2-22-2-2-22222-2-2-22200000000-2-2222-200000000000000000000
χ2922-2-2222-2-2-222-22-22-2-22-22-200000000000000000000002-22-200000000
χ3022-2-2222-2-2-222-22-22-2-22-22-20000000000000000000000-22-2200000000
χ3122-2-2222-2-2-222-22-22-2-2-22-2200000000000000000000002-2-2200000000
χ3222-2-2222-2-2-222-22-22-2-2-22-220000000000000000000000-222-200000000
χ3322-2-22-2-2-222-22-2-222-2200002i−2i002i−2i000000002i−2i002-200000000000000
χ3422-2-22-2-2-222-22-2-222-2200002i−2i002i−2i00000000−2i2i00-2200000000000000
χ3522-2-22-2-2-222-22-2-222-220000−2i2i00−2i2i000000002i−2i00-2200000000000000
χ3622-2-22-2-2-222-22-2-222-220000−2i2i00−2i2i00000000−2i2i002-200000000000000
χ3722-2-2-22-22-22-22-22-2-2220000002i−2i002i−2i000000002i−2i002-2000000000000
χ3822-2-2-22-22-22-22-22-2-2220000002i−2i002i−2i00000000−2i2i00-22000000000000
χ3922-2-2-22-22-22-22-22-2-222000000−2i2i00−2i2i000000002i−2i00-22000000000000
χ4022-2-2-22-22-22-22-22-2-222000000−2i2i00−2i2i00000000−2i2i002-2000000000000
χ4122-2-2-2-2222-2-2-222-22-222-2-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ4222-2-2-2-2222-2-2-222-22-222-2-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ4322-2-2-2-2222-2-2-222-22-22-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ4422-2-2-2-2222-2-2-222-22-22-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ4644444-4-44-4-4-444-4-444-400000000000000000000000000000000000000
χ474444-44-4-44-4-44444-4-4-400000000000000000000000000000000000000
χ484444-4-44-4-44444-4-4-4-4400000000000000000000000000000000000000
χ4944-4-4444-4-4-4-4-44-44-44400000000000000000000000000000000000000
χ5044-4-44-4-4-4444-444-4-44-400000000000000000000000000000000000000
χ5144-4-4-44-44-444-44-444-4-400000000000000000000000000000000000000
χ5244-4-4-4-4444-444-4-44-44-400000000000000000000000000000000000000
χ538-88-8000000000000000000000000004-4000000000000000000000000
χ548-88-800000000000000000000000000-44000000000000000000000000
χ558-8-8800000000000000000000000000004-40000000000000000000000
χ568-8-880000000000000000000000000000-440000000000000000000000

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