Finite Group Databasebeta

← Group #328716

Character table — Group #328716

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444422444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-1-1-11-1-1111-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11-1
χ101111111111111111-1-1-1-11-1-1111-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-11-1-1111-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-11
χ121111111111111111-1-1-1-11-1-1111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1
χ131111111111111111-1-1-1-11-1-11-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-11-1-11-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1111-1
χ151111111111111111-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1111-1
χ161111111111111111-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-11
χ172222222222-2-222-2-222-2-2-2-2-2-2002000000000000002-2-2200000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-200200000000000000-222-200000000000000
χ192222222222-2-222-2-2-2-222-222-200-2000000000000002-22-200000000000000
χ202222222222-2-222-2-2-2-222-222-200-200000000000000-22-2200000000000000
χ2122222222-2-222-2-22222-2-2-222-222-2-2-2-2-22200000000000000000000000000
χ2222222222-2-222-2-22222-2-2-222-2-2-2-22222-2-200000000000000000000000000
χ2322222222-2-222-2-222-2-222-2-2-2-2222-2-222-2-200000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-2-2222-2-22200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-2200-20000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-2200-2000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222220020000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222002000000000000000000-222-20000000000
χ292-222-2-2-22002-2002-22i−2i0002i−2i02-2000002i−2ii2i2−i2−i222−2−200000000i2−i22−2000000
χ302-222-2-2-22002-2002-22i−2i0002i−2i02-2000002i−2i−i2−i2i2i2−2−22200000000−i2i2−22000000
χ312-222-2-2-22002-2002-22i−2i0002i−2i0-2200000−2i2ii2i2−i2−i222−2−200000000−i2i2−22000000
χ322-222-2-2-22002-2002-22i−2i0002i−2i0-2200000−2i2i−i2−i2i2i2−2−22200000000i2−i22−2000000
χ332-222-2-2-22002-2002-2−2i2i000−2i2i02-200000−2i2ii2i2−i2−i2−2−22200000000i2−i2−22000000
χ342-222-2-2-22002-2002-2−2i2i000−2i2i02-200000−2i2i−i2−i2i2i222−2−200000000−i2i22−2000000
χ352-222-2-2-22002-2002-2−2i2i000−2i2i0-22000002i−2ii2i2−i2−i2−2−22200000000−i2i22−2000000
χ362-222-2-2-22002-2002-2−2i2i000−2i2i0-22000002i−2i−i2−i2i2i222−2−200000000i2−i2−22000000
χ37444-44-4-4-44-4004-40000000000000000000000022−2222−22000000000000000000
χ38444-44-4-4-44-4004-400000000000000000000000−2222−2222000000000000000000
χ39444-44-4-4-4-4400-44000000000000000000022−2222−220000000000000000000000
χ40444-44-4-4-4-4400-440000000000000000000−2222−22220000000000000000000000
χ4144-4-4-44-44004-400-44000000000004i−4i000000000000000000000000000000
χ4244-4-4-44-44004-400-4400000000000−4i4i000000000000000000000000000000
χ4344-4-4-44-4400-44004-400000000000004i−4i0000000000000000000000000000
χ4444-4-4-44-4400-44004-40000000000000−4i4i0000000000000000000000000000
χ454-444-4-4-4400-4400-444i−4i000−4i4i000000000000000000000000000000000000
χ464-444-4-4-4400-4400-44−4i4i0004i−4i000000000000000000000000000000000000
χ474-44-4-444-400000000004i−4i00000000000002i−2i−2i2i2-2-22000000000000000000
χ484-44-4-444-400000000004i−4i0000000000000−2i2i2i−2i-222-2000000000000000000
χ494-44-4-444-40000000000−4i4i00000000000002i−2i−2i2i-222-2000000000000000000
χ504-44-4-444-40000000000−4i4i0000000000000−2i2i2i−2i2-2-22000000000000000000
χ514-4-4444-4-44-400-440000000000000000000000000000000000000002i2−2i20000
χ524-4-4444-4-44-400-44000000000000000000000000000000000000000−2i22i20000
χ534-4-4444-4-4-44004-4000000000000000000000000000000000000000002i2−2i200
χ544-4-4444-4-4-44004-400000000000000000000000000000000000000000−2i22i200
χ554-4-4-44-4444444-4-4-4-40000400-400000000000000000000000000000000000
χ564-4-4-44-44444-4-4-4-4440000-400400000000000000000000000000000000000
χ574-4-4-44-444-4-44444-4-40000-400400000000000000000000000000000000000
χ584-4-4-44-444-4-4-4-444440000400-400000000000000000000000000000000000
χ5988-88-8-88-8000000000000000000000000000000000000000000000000000

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