Finite Group Databasebeta

← Group #474245

Character table — Group #474245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444444448888888888884444444488888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ13111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-1-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1
χ17222222-2-2-2-2222-2-22-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ18222222-2-2-2-2222-2-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ19222222-2-2-2-2222-2-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ20222222-2-2-2-2222-2-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ2122-2-22-222-2-222-222-2-2-200002-22-20000000000000000002-22-200000000
χ2222-2-22-222-2-222-222-2-2-200002-22-2000000000000000000-22-2200000000
χ2322-2-22-222-2-222-222-2-2-20000-22-220000000000000000002-2-2200000000
χ2422-2-22-222-2-222-222-2-2-20000-22-22000000000000000000-222-200000000
χ2522-2-22-222-2-2-2-22-2-2222000000002-22-20000002i−2i002i−2i00000000000000
χ2622-2-22-222-2-2-2-22-2-2222000000002-22-2000000−2i2i00−2i2i00000000000000
χ2722-2-22-222-2-2-2-22-2-222200000000-22-220000002i−2i00−2i2i00000000000000
χ2822-2-22-222-2-2-2-22-2-222200000000-22-22000000−2i2i002i−2i00000000000000
χ2922-2-22-2-2-22222-2-2-2-22200002i−2i−2i2i000000002i−2i002-20000000000000000
χ3022-2-22-2-2-22222-2-2-2-22200002i−2i−2i2i00000000−2i2i00-220000000000000000
χ3122-2-22-2-2-22222-2-2-2-2220000−2i2i2i−2i000000002i−2i00-220000000000000000
χ3222-2-22-2-2-22222-2-2-2-2220000−2i2i2i−2i00000000−2i2i002-20000000000000000
χ3322-2-22-2-2-222-2-22222-2-2000000002i−2i−2i2i00000000000000000000002-22i−2i
χ3422-2-22-2-2-222-2-22222-2-2000000002i−2i−2i2i0000000000000000000000-22−2i2i
χ3522-2-22-2-2-222-2-22222-2-200000000−2i2i2i−2i00000000000000000000002-2−2i2i
χ3622-2-22-2-2-222-2-22222-2-200000000−2i2i2i−2i0000000000000000000000-222i−2i
χ3722-2-2-222-22-2-22-22-222-22i−2i2i−2i0000000022-2-2000000000000002i−2i000000
χ3822-2-2-222-22-2-22-22-222-22i−2i2i−2i00000000-2-22200000000000000−2i2i000000
χ3922-2-2-222-22-2-22-22-222-2−2i2i−2i2i0000000022-2-200000000000000−2i2i000000
χ4022-2-2-222-22-2-22-22-222-2−2i2i−2i2i00000000-2-222000000000000002i−2i000000
χ4122-2-2-22-22-22-22-2-222-222i−2i−2i2i000000000000000000002i−2i0000002-20000
χ4222-2-2-22-22-22-22-2-222-222i−2i−2i2i00000000000000000000−2i2i000000-220000
χ4322-2-2-22-22-22-22-2-222-22−2i2i2i−2i000000000000000000002i−2i000000-220000
χ4422-2-2-22-22-22-22-2-222-22−2i2i2i−2i00000000000000000000−2i2i0000002-20000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ46444444-4-4-4-4-4-4-444-44400000000000000000000000000000000000000
χ474444-4-44-4-444-4-4-4444-400000000000000000000000000000000000000
χ484444-4-44-4-44-4444-4-4-4400000000000000000000000000000000000000
χ494444-4-4-444-44-4-44-44-4400000000000000000000000000000000000000
χ504444-4-4-444-4-444-44-44-400000000000000000000000000000000000000
χ5144-4-4-444-44-44-44-44-4-4400000000000000000000000000000000000000
χ5244-4-4-44-44-444-444-4-44-400000000000000000000000000000000000000
χ538-88-8000000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ548-88-800000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ558-8-88000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ568-8-8800000000000000000000000000−2i22i22i2−2i20000000000000000000000

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