Finite Group Databasebeta

← Group #329892

Character table — Group #329892

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444442244444444888888888888888844448888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-11-1
χ101111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-11111-1-1-11-11
χ111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1-1-111-11-11
χ121111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1111-11-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111-1-1111-1-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-11111-1-1-1-111-111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-11111-1-1-111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-11111-1-111-1-11-1-11
χ172222222222-2-22-2-2222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-200000000000000000000
χ182222222222-2-22-2-2222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222222200000000000000000000
χ192222222222-2-22-2-22-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000
χ202222222222-2-22-2-22-2-2-2-222-2-222-2-2-2-222222222-2-2-2-200000000000000000000
χ2122222222-2-222-222-222-2-2-2-2-2-22200000000000000002-2-220000000000000000
χ2222222222-2-222-222-222-2-2-2-2-2-2220000000000000000-222-20000000000000000
χ2322222222-2-222-222-2-2-2-2-22222-2-2000000000000000022-2-20000000000000000
χ2422222222-2-222-222-2-2-2-2-22222-2-20000000000000000-2-2220000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222220000000000000000000000000000−2i2i2i−2i0000
χ2922-22-22-2-22-200-20022-200002-2002i2i−2i−2i2i2i−2i−2i000000000000i2−i2i2−i22−22−200000000
χ3022-22-22-2-22-200-20022-200002-2002i2i−2i−2i2i2i−2i−2i000000000000−i2i2−i2i2−22−2200000000
χ3122-22-22-2-22-200-20022-200002-200−2i−2i2i2i−2i−2i2i2i000000000000i2−i2i2−i2−22−2200000000
χ3222-22-22-2-22-200-20022-200002-200−2i−2i2i2i−2i−2i2i2i000000000000−i2i2−i2i22−22−200000000
χ3322-22-22-2-22-200-2002-220000-22002i2i−2i−2i−2i−2i2i2i000000000000i2−i2−i2i22−2−2200000000
χ3422-22-22-2-22-200-2002-220000-22002i2i−2i−2i−2i−2i2i2i000000000000−i2i2i2−i2−222−200000000
χ3522-22-22-2-22-200-2002-220000-2200−2i−2i2i2i2i2i−2i−2i000000000000i2−i2−i2i2−222−200000000
χ3622-22-22-2-22-200-2002-220000-2200−2i−2i2i2i2i2i−2i−2i000000000000−i2i2i2−i22−2−2200000000
χ37444-44-4-4-40000000000004-40000000022−2222−222222−22−22000000000000000000000000
χ38444-44-4-4-40000000000004-400000000−2222−2222−22−222222000000000000000000000000
χ39444-44-4-4-4000000000000-440000000022−2222−22−22−222222000000000000000000000000
χ40444-44-4-4-4000000000000-4400000000−2222−22222222−22−22000000000000000000000000
χ4144-44-44-4-4-4400400-44-40000-4400000000000000000000000000000000000000
χ4244-44-44-4-4-4400400-4-4400004-400000000000000000000000000000000000000
χ4344-4-4-4-444004-404-40000000000000002i2−2i2−2i22i200002i22i2−2i2−2i200000000000000000000
χ4444-4-4-4-444004-404-4000000000000000−2i22i22i2−2i20000−2i2−2i22i22i200000000000000000000
χ4544-4-4-4-44400-440-440000000000000002i2−2i2−2i22i20000−2i2−2i22i22i200000000000000000000
χ4644-4-4-4-44400-440-44000000000000000−2i22i22i2−2i200002i22i2−2i2−2i200000000000000000000
χ474-444-4-4-4400000000000000004i−4i2i2−2i22i2−2i20000000022−2222−2200000000000000000000
χ484-444-4-4-4400000000000000004i−4i−2i22i2−2i22i200000000−2222−222200000000000000000000
χ494-444-4-4-440000000000000000−4i4i2i2−2i22i2−2i200000000−2222−222200000000000000000000
χ504-444-4-4-440000000000000000−4i4i−2i22i2−2i22i20000000022−2222−2200000000000000000000
χ514-44-4-444-4444-4-4-44-4004-4000000000000000000000000000000000000000000
χ524-44-4-444-444-44-44-4-400-44000000000000000000000000000000000000000000
χ534-44-4-444-4-4-44-44-44400-44000000000000000000000000000000000000000000
χ544-44-4-444-4-4-4-4444-44004-4000000000000000000000000000000000000000000
χ554-4-444-44-400440-4-40000000000022−22−2222000022−2222−22000000000000000000000000
χ564-4-444-44-400440-4-400000000000−222222−220000−2222−2222000000000000000000000000
χ574-4-444-44-400-4-40440000000000022−22−22220000−2222−2222000000000000000000000000
χ584-4-444-44-400-4-404400000000000−222222−22000022−2222−22000000000000000000000000
χ594-4-4-444-444-400400-400000000000000000000004i−4i−4i4i00000000000000000000
χ604-4-4-444-444-400400-40000000000000000000000−4i4i4i−4i00000000000000000000
χ614-4-4-444-44-4400-40040000000000000000004-4-44000000000000000000000000
χ624-4-4-444-44-4400-4004000000000000000000-444-4000000000000000000000000

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