Finite Group Databasebeta

← Group #317965

Character table — Group #317965

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order12224444448888888824448888888888888888888844444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1111111-1-1-1-111
χ811111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-11111-1-1
χ91111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1111-11111-1-1-1-1-1-11-11-1
χ101111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1-11111-11-11
χ111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1111-1-111-1-1-1-1-11-11
χ121111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-11111111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-111-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-1111-1-111-1-11-1-11
χ17222222-2-22222222222-2-2-22-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000
χ18222222-2-2222222-2-2-2-2-2-2-22-2-22222-2-2-2-222-2-2-2-2222200000000000000000000
χ19222222-2-222-2-2-2-22222-2-2-2222-2-2-2-22222-2-2-2-2-2-2222200000000000000000000
χ20222222-2-222-2-2-2-2-2-2-2-2-2-2-222222-2-222-2-2222222-2-2-2-200000000000000000000
χ2122222-2222-200002222-22-2-200-2-20000-2-22200000000002-200-22000000000000
χ2222222-2222-200002222-22-2-200-2-20000-2-2220000000000-22002-2000000000000
χ2322222-2222-20000-2-2-2-2-22-2-20022000022-2-200000000002200-2-2000000000000
χ2422222-2222-20000-2-2-2-2-22-2-20022000022-2-20000000000-2-20022000000000000
χ2522222-2-2-22-2000022222-22-200220000-2-2-2-2000000000000000000002i−2i2i−2i0000
χ2622222-2-2-22-2000022222-22-200220000-2-2-2-200000000000000000000−2i2i−2i2i0000
χ2722222-2-2-22-20000-2-2-2-22-22-200-2-200002222000000000000000000002i−2i−2i2i0000
χ2822222-2-2-22-20000-2-2-2-22-22-200-2-20000222200000000000000000000−2i2i2i−2i0000
χ292222-2222-2222220000-2-22-2-2-200-2-2220000000000002-200-2200000000000000
χ302222-2222-2222220000-2-22-2-2-200-2-222000000000000-22002-200000000000000
χ312222-2222-22-2-2-2-20000-2-22-2220022-2-20000000000002200-2-200000000000000
χ322222-2222-22-2-2-2-20000-2-22-2220022-2-2000000000000-2-2002200000000000000
χ332222-22-2-2-222222000022-2-22200-2-2-2-2000000000000000000002i−2i2i−2i00000000
χ342222-22-2-2-222222000022-2-22200-2-2-2-200000000000000000000−2i2i−2i2i00000000
χ352222-22-2-2-22-2-2-2-2000022-2-2-2-2002222000000000000000000002i−2i−2i2i00000000
χ362222-22-2-2-22-2-2-2-2000022-2-2-2-200222200000000000000000000−2i2i2i−2i00000000
χ374444-4-444-4-4000000004-4-440000000000000000000000000000000000000000
χ384444-4-4-4-4-4-400000000-44440000000000000000000000000000000000000000
χ3944-4-404000-400002222−22−2200004-400000022−220000002222−22−2200000000000000000000
χ4044-4-404000-400002222−22−220000-4400000022−22000000−22−22222200000000000000000000
χ4144-4-404000-40000−22−22222200004-4000000−2222000000−22−22222200000000000000000000
χ4244-4-404000-40000−22−2222220000-44000000−22220000002222−22−2200000000000000000000
χ4344-4-40-400044i4i−4i−4i2222−22−22000000000000−2222002i22i2−2i2−2i2000000000000000000000000
χ4444-4-40-400044i4i−4i−4i−22−22222200000000000022−2200−2i2−2i22i22i2000000000000000000000000
χ4544-4-40-40004−4i−4i4i4i2222−22−22000000000000−222200−2i2−2i22i22i2000000000000000000000000
χ4644-4-40-40004−4i−4i4i4i−22−22222200000000000022−22002i22i2−2i2−2i2000000000000000000000000
χ474-44-44000-4022−2222−2200000000004-422−22000000000022−2222−2200000000000000000000
χ484-44-44000-4022−2222−220000000000-4422−220000000000−2222−222200000000000000000000
χ494-44-44000-40−2222−222200000000004-4−22220000000000−2222−222200000000000000000000
χ504-44-44000-40−2222−22220000000000-44−2222000000000022−2222−2200000000000000000000
χ514-44-4-40004022−2222−224i−4i4i−4i00000000−22220000002i2−2i22i2−2i2000000000000000000000000
χ524-44-4-40004022−2222−22−4i4i−4i4i00000000−2222000000−2i22i2−2i22i2000000000000000000000000
χ534-44-4-400040−2222−22224i−4i4i−4i0000000022−22000000−2i22i2−2i22i2000000000000000000000000
χ544-44-4-400040−2222−2222−4i4i−4i4i0000000022−220000002i2−2i22i2−2i2000000000000000000000000
χ554-4-44004-4002i2−2i2−2i22i22i2−2i2−2i22i200000000002i2−2i2002i2−2i2-222-22-2-2200000000000000000000
χ564-4-44004-4002i2−2i2−2i22i2−2i22i22i2−2i200000000002i2−2i200−2i22i22-2-22-222-200000000000000000000
χ574-4-44004-400−2i22i22i2−2i22i2−2i2−2i22i20000000000−2i22i2002i2−2i22-2-22-222-200000000000000000000
χ584-4-44004-400−2i22i22i2−2i2−2i22i22i2−2i20000000000−2i22i200−2i22i2-222-22-2-2200000000000000000000
χ594-4-4400-44002i2−2i2−2i22i22i2−2i2−2i22i20000000000−2i22i200−2i22i2-222-2-222-200000000000000000000
χ604-4-4400-44002i2−2i2−2i22i2−2i22i22i2−2i20000000000−2i22i2002i2−2i22-2-222-2-2200000000000000000000
χ614-4-4400-4400−2i22i22i2−2i22i2−2i2−2i22i200000000002i2−2i200−2i22i22-2-222-2-2200000000000000000000
χ624-4-4400-4400−2i22i22i2−2i2−2i22i22i2−2i200000000002i2−2i2002i2−2i2-222-2-222-200000000000000000000

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