Finite Group Databasebeta

← Group #466489

Character table — Group #466489

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444444444444444488884444444444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-11-1-11-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-11-1-11-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-11111
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-11-1-11-1-111-1-1-1-11111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-11-1-1-1-1-111-1-1111111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-111111-1-111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-11-1-1-111-1-1111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-111-1-1-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1111111-1-111-1-1-1-1
χ17222222-2-2-2-222-222-2-2-200002i2i−2i−2i000000000000200-2002i−2i0000000000
χ18222222-2-2-2-222-222-2-2-200002i2i−2i−2i000000000000-200200−2i2i0000000000
χ19222222-2-2-2-222-222-2-2-20000−2i−2i2i2i000000000000200-200−2i2i0000000000
χ20222222-2-2-2-222-222-2-2-20000−2i−2i2i2i000000000000-2002002i−2i0000000000
χ212222-2-222-2-22-2-22-22-220000000022-2-200002-2200-20000000000000000
χ222222-2-222-2-22-2-22-22-220000000022-2-20000-22-20020000000000000000
χ232222-2-222-2-22-2-22-22-2200000000-2-22200002-2-20020000000000000000
χ242222-2-222-2-22-2-22-22-2200000000-2-2220000-22200-20000000000000000
χ252222-2-2-2-222-22-2-222-2222-2-2000000000000000200-202-2000000000000
χ262222-2-2-2-222-22-2-222-2222-2-2000000000000000-20020-22000000000000
χ272222-2-2-2-222-22-2-222-22-2-222000000000000000200-20-22000000000000
χ282222-2-2-2-222-22-2-222-22-2-222000000000000000-200202-2000000000000
χ2922-2-22-22-22-22-2-2-22-2222i−2i2i−2i0000000000000000000000002-22i−2i000000
χ3022-2-22-22-22-22-2-2-22-2222i−2i2i−2i000000000000000000000000-22−2i2i000000
χ3122-2-22-22-22-22-2-2-22-222−2i2i−2i2i0000000000000000000000002-2−2i2i000000
χ3222-2-22-22-22-22-2-2-22-222−2i2i−2i2i000000000000000000000000-222i−2i000000
χ3322-2-22-2-22-22-22-22-2-222000000002i−2i2i−2i2i2i−2i−2i0000000000000000002-200
χ3422-2-22-2-22-22-22-22-2-222000000002i−2i2i−2i−2i−2i2i2i000000000000000000-2200
χ3522-2-22-2-22-22-22-22-2-22200000000−2i2i−2i2i2i2i−2i−2i000000000000000000-2200
χ3622-2-22-2-22-22-22-22-2-22200000000−2i2i−2i2i−2i−2i2i2i0000000000000000002-200
χ3722-2-2-222-2-22-2-2-22222-200002i−2i2i−2i0000000000000000000000002-2002i−2i
χ3822-2-2-222-2-22-2-2-22222-200002i−2i2i−2i000000000000000000000000-2200−2i2i
χ3922-2-2-222-2-22-2-2-22222-20000−2i2i−2i2i0000000000000000000000002-200−2i2i
χ4022-2-2-222-2-22-2-2-22222-20000−2i2i−2i2i000000000000000000000000-22002i−2i
χ4122-2-2-22-222-2-2-2222-2-222i−2i−2i2i2-2-222i−2i−2i2i00000000000000000000000000
χ4222-2-2-22-222-2-2-2222-2-222i−2i−2i2i-222-2−2i2i2i−2i00000000000000000000000000
χ4322-2-2-22-222-2-2-2222-2-22−2i2i2i−2i2-2-22−2i2i2i−2i00000000000000000000000000
χ4422-2-2-22-222-2-2-2222-2-22−2i2i2i−2i-222-22i−2i−2i2i00000000000000000000000000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ46444444-4-4-4-4-4-44-4-444400000000000000000000000000000000000000
χ474444-4-444-4-4-444-44-44-400000000000000000000000000000000000000
χ484444-4-4-4-4444-444-4-44-400000000000000000000000000000000000000
χ4944-4-44-44-44-4-4444-44-4-400000000000000000000000000000000000000
χ5044-4-44-4-44-444-44-444-4-400000000000000000000000000000000000000
χ5144-4-4-444-4-44444-4-4-4-4400000000000000000000000000000000000000
χ5244-4-4-44-444-444-4-4-444-400000000000000000000000000000000000000
χ538-88-80000000000000000000000000022−2222−220000000000000000000000
χ548-88-800000000000000000000000000−2222−22220000000000000000000000
χ558-8-88000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ568-8-8800000000000000000000000000−2i22i22i2−2i20000000000000000000000

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