Finite Group Databasebeta

← Group #314773

Character table — Group #314773

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244448888444444888888888844444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1
χ91111111111111111-1-1-1-1111111-1-11111-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-11111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-111
χ17222222222-222-2-22-22222-2-22222-2-2000022-2-2-2-2000000000000000000000000
χ18222222222-222-2-22-22222-2-2-2-2-2-2-2-20000-2-22222000000000000000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-22222220000-2-2-2-222000000000000000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-2-2-2-2-22200002222-2-2000000000000000000000000
χ2122222222-22-2-222-2222-2-2-2-200002-222-2-200000000002-2000000000000000000
χ2222222222-22-2-222-2222-2-2-2-200002-2-2-2220000000000-22000000000000000000
χ2322222222-22-2-222-22-2-222-2-20000-2222-2-20000000000-22000000000000000000
χ2422222222-22-2-222-22-2-222-2-20000-22-2-22200000000002-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-2200000000002i2i−2i−2i00000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-220000000000−2i−2i2i2i0000000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-200000000002i2i−2i−2i0000000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-20000000000−2i−2i2i2i00000000002i−2i00000000
χ2922-2-222-2-2-222-2-2-22200002-222-2-2000000002-2000000002i−2i002i−2i000000000000
χ3022-2-222-2-2-222-2-2-22200002-222-2-2000000002-200000000−2i2i00−2i2i000000000000
χ3122-2-222-2-2-222-2-2-22200002-2-2-22200000000-22000000002i−2i00−2i2i000000000000
χ3222-2-222-2-2-222-2-2-22200002-2-2-22200000000-2200000000−2i2i002i−2i000000000000
χ3322-2-222-2-2-2-22-2222-20000-2222-2-200000000-2200000000002i−2i002i−2i0000000000
χ3422-2-222-2-2-2-22-2222-20000-2222-2-200000000-220000000000−2i2i00−2i2i0000000000
χ3522-2-222-2-2-2-22-2222-20000-22-2-222000000002-200000000002i−2i00−2i2i0000000000
χ3622-2-222-2-2-2-22-2222-20000-22-2-222000000002-20000000000−2i2i002i−2i0000000000
χ3722-2-2-2-222202-200-202-22-2002-22-20000002-200000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3822-2-2-2-222202-200-202-22-2002-22-20000002-200000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3922-2-2-2-222202-200-202-22-200-22-22000000-2200000000000000000000i2−i2−i2i2i2−i2−i2i2
χ4022-2-2-2-222202-200-202-22-200-22-22000000-2200000000000000000000−i2i2i2−i2−i2i2i2−i2
χ4122-2-2-2-222202-200-20-22-22002-22-2000000-2200000000000000000000i2−i2i2−i2−i2i2−i2i2
χ4222-2-2-2-222202-200-20-22-22002-22-2000000-2200000000000000000000−i2i2−i2i2i2−i2i2−i2
χ4322-2-2-2-222202-200-20-22-2200-22-220000002-200000000000000000000i2−i2−i2i2−i2i2i2−i2
χ4422-2-2-2-222202-200-20-22-2200-22-220000002-200000000000000000000−i2i2i2−i2i2−i2−i2i2
χ454444-4-4-4-440-4-40040000000000000000000004-4000000000000000000000000
χ464444-4-4-4-440-4-4004000000000000000000000-44000000000000000000000000
χ474444-4-4-4-4-404400-400000004-4-44000000000000000000000000000000000000
χ484444-4-4-4-4-404400-40000000-444-4000000000000000000000000000000000000
χ4944-4-444-4-444-44-4-4-440000-440000000000000000000000000000000000000000
χ5044-4-444-4-44-4-4444-4-400004-40000000000000000000000000000000000000000
χ5144-4-4-4-444-40-4400404-4-44000000000000000000000000000000000000000000
χ5244-4-4-4-444-40-440040-444-4000000000000000000000000000000000000000000
χ534-44-44-44-404004-40-4000000000000004-4000000000000000000000000000000
χ544-44-44-44-404004-40-400000000000000-44000000000000000000000000000000
χ554-44-44-44-40-400-44040000000000004i−4i00000000000000000000000000000000
χ564-44-44-44-40-400-4404000000000000−4i4i00000000000000000000000000000000
χ574-4-444-4-440400-440-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ584-4-444-4-440400-440-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ594-4-444-4-440-4004-404000000000000000000000022−22−222200000000000000000000
χ604-4-444-4-440-4004-4040000000000000000000000−222222−2200000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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