Finite Group Databasebeta

← Group #259556

Character table — Group #259556

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444444444888888888888881616161616161616161616161616161616161616
order12222222222244444444444444442222224444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-11-1111-1-1-1-111-1-111
χ11111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-11-11-1-1-111-1-111-1-111
χ12111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-11-11-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-1-1-11-11-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1111-11-1-1-111-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-11-1111-1-1-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1111-11-111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-2220000-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000
χ19222222222222-2-2-2-22222-2-22222-2-2-2-20000-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22222-2-222000022-2-2000000000000000000000000
χ2122222222-2-2-2-222-2-200002-222-2-22-200000000000000000022-2-2000000000000
χ2222222222-2-2-2-222-2-200002-222-2-22-2000000000000000000-2-222000000000000
χ2322222222-2-2-2-222-2-20000-22-2-222-22000000000000002-22-20000000000000000
χ2422222222-2-2-2-222-2-20000-22-2-222-2200000000000000-22-220000000000000000
χ2522222222-2-2-2-2-2-22200002-2-2-2222-20000000000000000002-2-22000000000000
χ2622222222-2-2-2-2-2-22200002-2-2-2222-2000000000000000000-222-2000000000000
χ2722222222-2-2-2-2-2-2220000-2222-2-2-22000000000000002-2-220000000000000000
χ2822222222-2-2-2-2-2-2220000-2222-2-2-2200000000000000-222-20000000000000000
χ2922-2-222-2-22-22-200002i2i−2i−2i2-20000-220022-2-22i−2i000000000000002i−2i0000000000
χ3022-2-222-2-22-22-200002i2i−2i−2i2-20000-2200-2-2222i−2i00000000000000−2i2i0000000000
χ3122-2-222-2-22-22-200002i2i−2i−2i-2200002-2000000−2i2i002i2i−2i−2i00000000002-200000000
χ3222-2-222-2-22-22-200002i2i−2i−2i-2200002-2000000−2i2i00−2i−2i2i2i0000000000-2200000000
χ3322-2-222-2-22-22-20000−2i−2i2i2i2-20000-220022-2-2−2i2i00000000000000−2i2i0000000000
χ3422-2-222-2-22-22-20000−2i−2i2i2i2-20000-2200-2-222−2i2i000000000000002i−2i0000000000
χ3522-2-222-2-22-22-20000−2i−2i2i2i-2200002-20000002i−2i002i2i−2i−2i0000000000-2200000000
χ3622-2-222-2-22-22-20000−2i−2i2i2i-2200002-20000002i−2i00−2i−2i2i2i00000000002-200000000
χ3722-2-2-2-22222-2-200002i−2i2i−2i002-22-200000000002i−2i0000000000000000i2−i2i2−i22−22−2
χ3822-2-2-2-22222-2-200002i−2i2i−2i002-22-200000000002i−2i0000000000000000−i2i2−i2i2−22−22
χ3922-2-2-2-22222-2-200002i−2i2i−2i00-22-220000000000−2i2i0000000000000000i2−i2−i2i22−2−22
χ4022-2-2-2-22222-2-200002i−2i2i−2i00-22-220000000000−2i2i0000000000000000−i2i2i2−i2−222−2
χ4122-2-2-2-22222-2-20000−2i2i−2i2i002-22-20000000000−2i2i0000000000000000i2−i2i2−i2−22−22
χ4222-2-2-2-22222-2-20000−2i2i−2i2i002-22-20000000000−2i2i0000000000000000−i2i2−i2i22−22−2
χ4322-2-2-2-22222-2-20000−2i2i−2i2i00-22-2200000000002i−2i0000000000000000i2−i2−i2i2−222−2
χ4422-2-2-2-22222-2-20000−2i2i−2i2i00-22-2200000000002i−2i0000000000000000−i2i2i2−i22−2−22
χ454444-4-4-4-44-4-4400004-4-44000000000000000000000000000000000000000000
χ464444-4-4-4-44-4-440000-444-4000000000000000000000000000000000000000000
χ474444-4-4-4-4-444-400000000000000004-400000000000000000000000000000000
χ484444-4-4-4-4-444-40000000000000000-4400000000000000000000000000000000
χ4944-4-444-4-4-44-4400000000440000-4-40000000000000000000000000000000000
χ5044-4-444-4-4-44-4400000000-4-40000440000000000000000000000000000000000
χ5144-4-4-4-444-4-44400000000004-4-44000000000000000000000000000000000000
χ5244-4-4-4-444-4-4440000000000-444-4000000000000000000000000000000000000
χ534-44-44-44-40000004i−4i000000000000002-22-200002i−2i2i−2i00000000000000000000
χ544-44-44-44-40000004i−4i00000000000000-22-220000−2i2i−2i2i00000000000000000000
χ554-44-44-44-4000000−4i4i000000000000002-22-20000−2i2i−2i2i00000000000000000000
χ564-44-44-44-4000000−4i4i00000000000000-22-2200002i−2i2i−2i00000000000000000000
χ574-4-444-4-4400004-400000000000000002-2-2200002-2-2200000000000000000000
χ584-4-444-4-4400004-40000000000000000-222-20000-222-200000000000000000000
χ594-4-444-4-440000-4400000000000000002-2-220000-222-200000000000000000000
χ604-4-444-4-440000-440000000000000000-222-200002-2-2200000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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