Finite Group Databasebeta

← Group #283485

Character table — Group #283485

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444422224444444488888888888822444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-111-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-111-1-1-1-111-1-111-1
χ511111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111
χ711111111111111111111-1-1-1-1-1-11111111111111111-1-1-11-1-1-1-1-1-1-1-11111-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11
χ9111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ10111111111111111111-1-1111111-1-1-1-1111111111111-1-11-1-1-1-1-11111-1-1-1-1-1
χ11111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111-1-11111-1
χ13111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-1
χ14111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-1111111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11
χ172222222222-2-2-2-222-2-2002222-2-20000000022-2-2000000-200000000000000
χ182222222222-2-2-2-222-2-20022-2-22200000000-2-222000000-200000000000000
χ192222222222-2-2-2-222-2-200-2-222-2-200000000-2-222000000200000000000000
χ202222222222-2-2-2-222-2-200-2-2-2-2220000000022-2-2000000200000000000000
χ2122222222-2-22222-2-2-2-22200000022-2-222-2-200000000000-20000000000000
χ2222222222-2-22222-2-2-2-222000000-2-2-2-2-2-2220000000000020000000000000
χ2322222222-2-22222-2-2-2-2-2-20000002222-2-22200000000000-20000000000000
χ2422222222-2-22222-2-2-2-2-2-2000000-2-22222-2-20000000000020000000000000
χ252-2-22-22-222222-2-2-2-2-2200002i−2i2i−2i00000000000000002-200000000002i−2i000
χ262-2-22-22-222222-2-2-2-2-2200002i−2i2i−2i0000000000000000-220000000000−2i2i000
χ272-2-22-22-222222-2-2-2-2-220000−2i2i−2i2i00000000000000002-20000000000−2i2i000
χ282-2-22-22-222222-2-2-2-2-220000−2i2i−2i2i0000000000000000-2200000000002i−2i000
χ292-2-22-22-2222-2-222-2-22-22-2002i−2i−2i2i002-20000000000000000002i−2i000000000
χ302-2-22-22-2222-2-222-2-22-22-200−2i2i2i−2i002-2000000000000000000−2i2i000000000
χ312-2-22-22-2222-2-222-2-22-2-22002i−2i−2i2i00-22000000000000000000−2i2i000000000
χ322-2-22-22-2222-2-222-2-22-2-2200−2i2i2i−2i00-220000000000000000002i−2i000000000
χ332-2-22-22-22-2-2-2-22222-222-200000000-2200000000000000002-200002-200000
χ342-2-22-22-22-2-2-2-22222-222-200000000-220000000000000000-220000-2200000
χ352-2-22-22-22-2-2-2-22222-22-22000000002-200000000000000002-20000-2200000
χ362-2-22-22-22-2-2-2-22222-22-22000000002-20000000000000000-2200002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-444-400004-4000000000000000000004i−4i000000000000000000000
χ39444-4-4-4-444-400004-400000000000000000000−4i4i000000000000000000000
χ40444-4-4-4-44-440000-4400000000000000000000002i22i2−2i2−2i200000000000000000
χ41444-4-4-4-44-440000-440000000000000000000000−2i2−2i22i22i200000000000000000
χ4244-44-4-44-4004-44-40000000000000000004i−4i0000000000000000000000000
χ4344-44-4-44-4004-44-4000000000000000000−4i4i0000000000000000000000000
χ4444-44-4-44-400-44-440000000000000000000000002i2−2i22i2−2i200000000000000000
χ4544-44-4-44-400-44-44000000000000000000000000−2i22i2−2i22i200000000000000000
χ4644-4-444-4-400000000000000000000002i2−2i2002i2−2i2002-2-2200000000000000000
χ4744-4-444-4-400000000000000000000002i2−2i200−2i22i200-222-200000000000000000
χ4844-4-444-4-40000000000000000000000−2i22i2002i2−2i200-222-200000000000000000
χ4944-4-444-4-40000000000000000000000−2i22i200−2i22i2002-2-2200000000000000000
χ504-4444-4-4-4004-4-440000000000000000000000000000000000000000002i2−2i20
χ514-4444-4-4-4004-4-44000000000000000000000000000000000000000000−2i22i20
χ524-4444-4-4-400-444-40000000000004i−4i0000000000000000000000000000000
χ534-4444-4-4-400-444-4000000000000−4i4i0000000000000000000000000000000
χ544-4-44-44-44-4-444-4-4444-400000000000000000000000000000000000000000
χ554-4-4-44-4444-40000-4400004-40000000000000000000000000000000000000
χ564-4-4-44-4444-40000-440000-440000000000000000000000000000000000000
χ574-4-4-44-444-4400004-4000000000000000000000000000000000022−220000000
χ584-4-4-44-444-4400004-40000000000000000000000000000000000−22220000000
χ598-88-8-888-8000000000000000000000000000000000000000000000000000

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