Finite Group Databasebeta

← Group #288583

Character table — Group #288583

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488884448888888844448888888888888882244448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ9111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-111111111-1-1-1-1-1-11-11-1111-1-1-111-1-11-1
χ10111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-1-1-11-1111-11-1-1-1-111-11
χ11111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111111-11-1-1-11-111-1-111-11
χ12111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-11-11-1-1-111111-1-11-1
χ13111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-11-11-1-11-11111-1-1-11
χ14111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1-1-11-11-1-1-1-1111-1-1111-1
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-11-11111-1-1-1-1-1111-1
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-11-111-11-1-111-1-1-11
χ17222222222-2-222222-2-2-222-2-200000000-200000022220000000000-2-200000000
χ18222222222-2-222222-2-2-222-2-200000000-2000000-2-2-2-200000000002200000000
χ19222222222-2-22-2-2-2-2-2-2-2-2-22200000000200000022-2-20000000000-2200000000
χ20222222222-2-22-2-2-2-2-2-2-2-2-222000000002000000-2-22200000000002-200000000
χ21222222-2-2-2-2-2-200002-2200002i2i−2i−2i0000000002i−2i000022-2-2000000002i−2i000000
χ22222222-2-2-2-2-2-200002-2200002i2i−2i−2i0000000002i−2i0000-2-22200000000−2i2i000000
χ23222222-2-2-2-2-2-200002-220000−2i−2i2i2i000000000−2i2i000022-2-200000000−2i2i000000
χ24222222-2-2-2-2-2-200002-220000−2i−2i2i2i000000000−2i2i0000-2-222000000002i−2i000000
χ252222-2-22-2222-22222-2-22-2-22200000000-2000000000000002-2-22000000000000
χ262222-2-22-2222-22222-2-22-2-22200000000-200000000000000-222-2000000000000
χ272222-2-22-2222-2-2-2-2-2-2-2222-2-20000000020000000000000022-2-2000000000000
χ282222-2-22-2222-2-2-2-2-2-2-2222-2-200000000200000000000000-2-222000000000000
χ292222-2-22-22-2-2-2222222-2-2-2-2-22i2i−2i−2i2i2i−2i−2i20000−2i2i000000000000000000000000
χ302222-2-22-22-2-2-2222222-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i200002i−2i000000000000000000000000
χ312222-2-22-22-2-2-2-2-2-2-222-222222i2i−2i−2i−2i−2i2i2i-20000−2i2i000000000000000000000000
χ322222-2-22-22-2-2-2-2-2-2-222-22222−2i−2i2i2i2i2i−2i−2i-200002i−2i000000000000000000000000
χ332222-2-2-22-222200002-2-2000022220000022-2-2-2-20000000000002-20000000000
χ342222-2-2-22-222200002-2-20000222200000-2-222-2-2000000000000-220000000000
χ352222-2-2-22-222200002-2-20000-2-2-2-20000022-2-222000000000000-220000000000
χ362222-2-2-22-222200002-2-20000-2-2-2-200000-2-222220000000000002-20000000000
χ3722-2-2-222-2-200222-2-20002-200000000000i2−i2i2−i2002-22-2i2−i2i2−i20000000000i2−i2i2−i200
χ3822-2-2-222-2-200222-2-20002-200000000000i2−i2i2−i200-22-22i2−i2i2−i20000000000−i2i2−i2i200
χ3922-2-2-222-2-200222-2-20002-200000000000−i2i2−i2i2002-22-2−i2i2−i2i20000000000−i2i2−i2i200
χ4022-2-2-222-2-200222-2-20002-200000000000−i2i2−i2i200-22-22−i2i2−i2i20000000000i2−i2i2−i200
χ4122-2-2-222-2-2002-2-222000-2200000000000i2−i2i2−i2002-2-22−i2i2−i2i20000000000i2−i2−i2i200
χ4222-2-2-222-2-2002-2-222000-2200000000000i2−i2i2−i200-222-2−i2i2−i2i20000000000−i2i2i2−i200
χ4322-2-2-222-2-2002-2-222000-2200000000000−i2i2−i2i2002-2-22i2−i2i2−i20000000000−i2i2i2−i200
χ4422-2-2-222-2-2002-2-222000-2200000000000−i2i2−i2i200-222-2i2−i2i2−i20000000000i2−i2−i2i200
χ45444444-4-4-444-40000-44-40000000000000000000000000000000000000000000
χ464444-4-4-44-4-4-440000-4440000000000000000000000000000000000000000000
χ4744-4-44-444-400-444-4-4000-4400000000000000000000000000000000000000000
χ4844-4-44-444-400-4-4-4440004-400000000000000000000000000000000000000000
χ4944-4-44-4-4-44004000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ5044-4-44-4-4-4400400000000000000000000−2i22i22i2−2i200000000000000000000000000
χ5144-4-4-44-44400-40000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5244-4-4-44-44400-4000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ534-44-4000004-402i2−2i22i2−2i2000002i2−2i22i2−2i22i2−2i22-22-20000000000000000000000000000000
χ544-44-4000004-402i2−2i22i2−2i2000002i2−2i2−2i22i2−2i22i2-22-220000000000000000000000000000000
χ554-44-4000004-40−2i22i2−2i22i200000−2i22i22i2−2i22i2−2i2-22-220000000000000000000000000000000
χ564-44-4000004-40−2i22i2−2i22i200000−2i22i2−2i22i2−2i22i22-22-20000000000000000000000000000000
χ574-44-400000-4402i2−2i22i2−2i200000−2i22i222−22−2222−2i2i2i−2i0000000000000000000000000000000
χ584-44-400000-4402i2−2i22i2−2i200000−2i22i2−222222−222i−2i−2i2i0000000000000000000000000000000
χ594-44-400000-440−2i22i2−2i22i2000002i2−2i222−22−22222i−2i−2i2i0000000000000000000000000000000
χ604-44-400000-440−2i22i2−2i22i2000002i2−2i2−222222−22−2i2i2i−2i0000000000000000000000000000000
χ618-8-88000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000
χ628-8-8800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000

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