Finite Group Databasebeta

← Group #266303

Character table — Group #266303

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1111111-1-1111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-11-1-1111111111-1-1-11111-11111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ91111111111111111-1-11111-111-1-1-111-11111-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-11111-111-1-1-111-1-1-1-1-11111-1-11-1-111-111-1-1-1-111-1-111
χ111111111111111111-1-11111-1-1-111-111-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111
χ121111111111111111-1-11111-1-1-111-111-1-1-1-1-11111-1-1-111-1-11-1-111-1-11111-1-1
χ131111111111111111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1-111-1-11111-1-1
χ141111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-111
χ151111111111111111-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1111-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1-111-1-1
χ172222222222-2-222-2-222-2-200222-2-2-200-20000000000-200002000000000000
χ182222222222-2-222-2-222-2-2002-2-222-200-2000000000020000-2000000000000
χ192222222222-2-222-2-2-2-2-2-200-2222220020000000000-20000-2000000000000
χ202222222222-2-222-2-2-2-2-2-200-2-2-2-2-220020000000000200002000000000000
χ2122222222-2-222-2-22222-2-222-20000-2-2-22000000002-2000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-20000-222200000000-22000000000000000000
χ2322222222-2-222-2-222-2-2-2-222200002-2-2-200000000-22000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-220000222-2000000002-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-20000200-200000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-2222200-20000200-20000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2220020000-200200000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2220020000-20020000000000000000-222-200000000
χ29222-2-22-2-2222-2-2-22-2002-22-20000002-2000000000000002-2000000000002-2
χ30222-2-22-2-2222-2-2-22-2002-22-20000002-200000000000000-2200000000000-22
χ31222-2-22-2-2222-2-2-22-2002-2-22000000-22000000000000002-200000000000-22
χ32222-2-22-2-2222-2-2-22-2002-2-22000000-2200000000000000-22000000000002-2
χ33222-2-22-2-2-2-22-2222-200-222-2000000-220000000000002i−2i000000000002i−2i00
χ34222-2-22-2-2-2-22-2222-200-222-2000000-22000000000000−2i2i00000000000−2i2i00
χ35222-2-22-2-2-2-22-2222-200-22-220000002-20000000000002i−2i00000000000−2i2i00
χ36222-2-22-2-2-2-22-2222-200-22-220000002-2000000000000−2i2i000000000002i−2i00
χ37444-4-44-4-444-44-4-4-4400-44000000000000000000000000000000000000000
χ38444-4-44-4-4-4-4-4444-44004-4000000000000000000000000000000000000000
χ3944-444-4-4-44-4004-40000000000000000000002222−22−2200000000000000000000
χ4044-444-4-4-44-4004-4000000000000000000000−22−22222200000000000000000000
χ4144-444-4-4-4-4400-44000000000000000002222−22−22000000000000000000000000
χ4244-444-4-4-4-4400-4400000000000000000−22−222222000000000000000000000000
χ4344-4-4-4-4444-400-440000000004i−4i0000000000000000000000000000000000
χ4444-4-4-4-4444-400-44000000000−4i4i0000000000000000000000000000000000
χ4544-4-4-4-444-44004-4000000000004i−4i00000000000000000000000000000000
χ4644-4-4-4-444-44004-400000000000−4i4i00000000000000000000000000000000
χ474-444-4-44-4004400-4-40000000000000000000000000000000000022−22000000
χ484-444-4-44-4004400-4-400000000000000000000000000000000000−2222000000
χ494-444-4-44-400-4-4004400000000000000000000000000000000000002i2−2i20000
χ504-444-4-44-400-4-400440000000000000000000000000000000000000−2i22i20000
χ514-44-44-4-44004-400-440000000000000002i2−2i22i2−2i2000000000000000000000000
χ524-44-44-4-44004-400-44000000000000000−2i22i2−2i22i2000000000000000000000000
χ534-44-44-4-4400-44004-400000000000000000002i2−2i22i2−2i200000000000000000000
χ544-44-44-4-4400-44004-40000000000000000000−2i22i2−2i22i200000000000000000000
χ554-4-4-4444-4000000004-400000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ564-4-4-4444-4000000004-40000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ574-4-4-4444-400000000-4400000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ584-4-4-4444-400000000-440000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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