Finite Group Databasebeta

← Group #499296

Character table — Group #499296

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244442222444444442244444444442444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ9111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11-11-11-11-11-111-1-111-1-111-1-1
χ10111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-111-1-11-1111-1-1-1-111-1-111
χ11111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-11-111-1-11-1-11111-1-1-1-111
χ12111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-1-11-111-1-1-111-1-11111-1-1
χ13111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11-11-11-11-11-1-1-111-1-111-1-111
χ14111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-11-111-1-11-11-1-11111-1-111-1-1
χ15111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-11-111-1-1111-1-1-1-11111-1-1
χ16111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-111-1-11-111-111-1-111-1-1-1-111
χ17222222222222-2-222-2-2-2-2-2-2000000000000220000-2-200000000000000
χ18222222222222-2-222-2-2-2-2-2-2000000000000-2-200002200000000000000
χ192222222222-2-222-2-222-2-2-2-20000000022220000-2-20000000000000000
χ202222222222-2-222-2-222-2-2-2-200000000-2-2-2-20000220000000000000000
χ212222222222-2-2-2-2-2-2-2-2222200000000000000220000-2-2000000000000
χ222222222222-2-2-2-2-2-2-2-2222200000000000000-2-2000022000000000000
χ23222222-2-2-2-222-2-2-2-22222-2-20000000000002-20000-2200000000000000
χ24222222-2-2-2-222-2-2-2-22222-2-2000000000000-2200002-200000000000000
χ25222222-2-2-2-2-2-22222-2-222-2-20000000022-2-20000-220000000000000000
χ26222222-2-2-2-2-2-22222-2-222-2-200000000-2-22200002-20000000000000000
χ27222222-2-2-2-2-2-2-2-22222-2-222000000000000002-20000-22000000000000
χ28222222-2-2-2-2-2-2-2-22222-2-22200000000000000-2200002-2000000000000
χ2922-2-22-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2-20000000000000000000000000000002i−2i2-2
χ3022-2-22-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2-2000000000000000000000000000000−2i2i-22
χ3122-2-22-22i2i−2i−2i2-2-222i−2i−2i2i−2i2i-2200000000000000000000002-22i−2i00000000
χ3222-2-22-22i2i−2i−2i2-2-222i−2i−2i2i−2i2i-220000000000000000000000-22−2i2i00000000
χ3322-2-22-22i2i−2i−2i-222-2−2i2i2i−2i−2i2i-22000000000000000000000000002-22i−2i0000
χ3422-2-22-22i2i−2i−2i-222-2−2i2i2i−2i−2i2i-2200000000000000000000000000-22−2i2i0000
χ3522-2-22-22i2i−2i−2i-22-22−2i2i−2i2i2i−2i2-22-22-22i2i−2i−2i00000000000000000000000000
χ3622-2-22-22i2i−2i−2i-22-22−2i2i−2i2i2i−2i2-2-22-22−2i−2i2i2i00000000000000000000000000
χ3722-2-22-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i2-20000000000000000000000000000002i−2i-22
χ3822-2-22-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i2-2000000000000000000000000000000−2i2i2-2
χ3922-2-22-2−2i−2i2i2i2-2-22−2i2i2i−2i2i−2i-2200000000000000000000002-2−2i2i00000000
χ4022-2-22-2−2i−2i2i2i2-2-22−2i2i2i−2i2i−2i-220000000000000000000000-222i−2i00000000
χ4122-2-22-2−2i−2i2i2i-222-22i−2i−2i2i2i−2i-22000000000000000000000000002-2−2i2i0000
χ4222-2-22-2−2i−2i2i2i-222-22i−2i−2i2i2i−2i-2200000000000000000000000000-222i−2i0000
χ4322-2-22-2−2i−2i2i2i-22-222i−2i2i−2i−2i2i2-22-22-2−2i−2i2i2i00000000000000000000000000
χ4422-2-22-2−2i−2i2i2i-22-222i−2i2i−2i−2i2i2-2-22-222i2i−2i−2i00000000000000000000000000
χ454444-4-44-44-400000000000022-2-22-22-200000000000000000000000000
χ464444-4-44-44-4000000000000-2-222-22-2200000000000000000000000000
χ474444-4-4-44-4400000000000022-2-2-22-2200000000000000000000000000
χ484444-4-4-44-44000000000000-2-2222-22-200000000000000000000000000
χ4944-4-4-444i−4i−4i4i0000000000002-2-222i−2i−2i2i00000000000000000000000000
χ5044-4-4-444i−4i−4i4i000000000000-222-2−2i2i2i−2i00000000000000000000000000
χ5144-4-4-44−4i4i4i−4i0000000000002-2-22−2i2i2i−2i00000000000000000000000000
χ5244-4-4-44−4i4i4i−4i000000000000-222-22i−2i−2i2i00000000000000000000000000
χ538-88-800000000000000000000000000004i−4i0000000000000000000000
χ548-88-80000000000000000000000000000−4i4i0000000000000000000000
χ558-8-88000000000000000000000000004i−4i000000000000000000000000
χ568-8-8800000000000000000000000000−4i4i000000000000000000000000

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