Finite Group Databasebeta

← Group #247666

Character table — Group #247666

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444442244444444444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-11-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-11111
χ511111111111111111111-1-11-1-1111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-11-1-11-1-11-1-111111111-1-1-11111-11111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111
χ91111111111111111-1-11111-1-1-1-111-1111111-1-1-1-1-11-111-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-11111-1-1-1-111-111-1-1-1-11111-11-111-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1-11111-1-1-1-111
χ121111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-111-1-1-1-11111-1-1
χ131111111111111111-1-111-1-1-111-111-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1
χ141111111111111111-1-111-1-1-111-111-111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-111
χ151111111111111111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11-1111-1-1111-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1-11111-1-111-1-1
χ172222222222-2-222-2-222-2-2222-2-2-200-200000000000-2000002000000000000
χ182222222222-2-222-2-222-2-2-2-2222-200-200000000000200000-2000000000000
χ192222222222-2-222-2-2-2-2-2-222-222200200000000000-200000-2000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-2-22002000000000002000002000000000000
χ2122222222-2-222-2-22222-2-200-200222-2-2-200000000-20200000000000000000
χ2222222222-2-222-2-22222-2-200-2002-2-2-2220000000020-200000000000000000
χ2322222222-2-222-2-222-2-2-2-200200-2222-2-20000000020-200000000000000000
χ2422222222-2-222-2-222-2-2-2-200200-2-2-222200000000-20200000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-200-200200000000000002-22-20000000000000
χ2622222222-2-2-2-2-2-2-2-2222200-200-20020000000000000-22-220000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200200200-200000000000002-2-220000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200200200-20000000000000-222-20000000000000
χ292-2-2-22-2222-2-2-22-222002-20000002-202-20000000000000000002-2002-20000
χ302-2-2-22-2222-2-2-22-222002-20000002-202-2000000000000000000-2200-220000
χ312-2-2-22-2222-2-2-22-222002-2000000-220-220000000000000000002-200-220000
χ322-2-2-22-2222-2-2-22-222002-2000000-220-22000000000000000000-22002-20000
χ332-2-2-22-222-22-2-2-222200-220000002-20-2200000000000000002-2002-2000000
χ342-2-2-22-222-22-2-2-222200-220000002-20-220000000000000000-2200-22000000
χ352-2-2-22-222-22-2-2-222200-22000000-2202-200000000000000002-200-22000000
χ362-2-2-22-222-22-2-2-222200-22000000-2202-20000000000000000-22002-2000000
χ37444-4-4-44-4004-4004-40000000000000000000000000000000000000000022−22
χ38444-4-4-44-4004-4004-400000000000000000000000000000000000000000−2222
χ39444-4-4-44-400-4400-4400000000000000000000000000000000000000022−2200
χ40444-4-4-44-400-4400-44000000000000000000000000000000000000000−222200
χ4144-444-4-4-44-400-44000000000000000002222−22−22000000000000000000000000
χ4244-444-4-4-44-400-4400000000000000000−22−222222000000000000000000000000
χ4344-444-4-4-4-44004-40000000000000000000002222−22−2200000000000000000000
χ4444-444-4-4-4-44004-4000000000000000000000−22−22222200000000000000000000
χ454-444-4-4-44000000004-400000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ464-444-4-4-44000000004-40000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ474-444-4-4-4400000000-4400000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ484-444-4-4-4400000000-440000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ494-44-444-4-44400-4-40000000004-40000000000000000000000000000000000
χ504-44-444-4-44400-4-4000000000-440000000000000000000000000000000000
χ514-44-444-4-4-4-400440000004i−4i0000000000000000000000000000000000000
χ524-44-444-4-4-4-40044000000−4i4i0000000000000000000000000000000000000
χ534-4-44-444-4004-400-440000000000000002i2−2i2−2i22i2000000000000000000000000
χ544-4-44-444-4004-400-44000000000000000−2i22i22i2−2i2000000000000000000000000
χ554-4-44-444-400-44004-400000000000000000002i2−2i2−2i22i200000000000000000000
χ564-4-44-444-400-44004-40000000000000000000−2i22i22i2−2i200000000000000000000
χ574-4-4-44-4444-4444-4-4-400-44000000000000000000000000000000000000000
χ584-4-4-44-444-4444-44-4-4004-4000000000000000000000000000000000000000
χ5988-8-8-88-88000000000000000000000000000000000000000000000000000

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