Finite Group Databasebeta

← Group #329482

Character table — Group #329482

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444442244444444888888888888888844448888888888882444
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-11
χ111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11-11
χ121111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1111-1-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-11-1-11
χ1722222222222-2-2-2-2222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000
χ1822222222222-2-2-2-2222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000
χ2122222222-2-2-22222-222-2-2-2-222-2-200000000000000002-22-20000000000000000
χ2222222222-2-2-22222-222-2-2-2-222-2-20000000000000000-22-220000000000000000
χ2322222222-2-2-22222-2-2-2-2-222-2-22200000000000000002-2-220000000000000000
χ2422222222-2-2-22222-2-2-2-2-222-2-2220000000000000000-222-20000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000000000000000−2i2i2i−2i0000
χ292-2-2222-2-222-20000-22-2002-20000000022-2-2000022-2-20000i2−i2i2−i2i2−i2i2−i200000000
χ302-2-2222-2-222-20000-22-2002-20000000022-2-2000022-2-20000−i2i2−i2i2−i2i2−i2i200000000
χ312-2-2222-2-222-20000-22-2002-200000000-2-2220000-2-2220000i2−i2i2−i2−i2i2−i2i200000000
χ322-2-2222-2-222-20000-22-2002-200000000-2-2220000-2-2220000−i2i2−i2i2i2−i2i2−i200000000
χ332-2-2222-2-222-20000-2-2200-220000000022-2-20000-2-2220000i2−i2−i2i2i2−i2−i2i200000000
χ342-2-2222-2-222-20000-2-2200-220000000022-2-20000-2-2220000−i2i2i2−i2−i2i2i2−i200000000
χ352-2-2222-2-222-20000-2-2200-2200000000-2-222000022-2-20000i2−i2−i2i2−i2i2i2−i200000000
χ362-2-2222-2-222-20000-2-2200-2200000000-2-222000022-2-20000−i2i2i2−i2i2−i2−i2i200000000
χ37444-4-44-4-44-440000-400000000000000000044-4-4000000000000000000000000
χ38444-4-44-4-44-440000-4000000000000000000-4-444000000000000000000000000
χ39444-4-44-4-4-44-40000400000000004i4i−4i−4i00000000000000000000000000000000
χ40444-4-44-4-4-44-4000040000000000−4i−4i4i4i00000000000000000000000000000000
χ4144-44-4-44-400000000000000004-400002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000
χ4244-44-4-44-400000000000000004-40000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000
χ4344-44-4-44-40000000000000000-4400002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000
χ4444-44-4-44-40000000000000000-440000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000
χ4544-4-44-4-4400044-4-400000000000000000002i2−2i2−2i22i22i2−2i22i2−2i200000000000000000000
χ4644-4-44-4-4400044-4-40000000000000000000−2i22i22i2−2i2−2i22i2−2i22i200000000000000000000
χ4744-4-44-4-44000-4-44400000000000000000002i2−2i2−2i22i2−2i22i2−2i22i200000000000000000000
χ4844-4-44-4-44000-4-4440000000000000000000−2i22i22i2−2i22i2−2i22i2−2i200000000000000000000
χ494-444-4-4-440004-44-4000000000002i2−2i22i2−2i22i2−2i2−2i22i20000000000000000000000000000
χ504-444-4-4-440004-44-400000000000−2i22i2−2i22i2−2i22i22i2−2i20000000000000000000000000000
χ514-444-4-4-44000-44-44000000000002i2−2i22i2−2i2−2i22i22i2−2i20000000000000000000000000000
χ524-444-4-4-44000-44-4400000000000−2i22i2−2i22i22i2−2i2−2i22i20000000000000000000000000000
χ534-44-44-44-4000000000000004i−4i0022−22−2222000000002i2−2i2−2i22i200000000000000000000
χ544-44-44-44-4000000000000004i−4i00−222222−2200000000−2i22i22i2−2i200000000000000000000
χ554-44-44-44-400000000000000−4i4i0022−22−222200000000−2i22i22i2−2i200000000000000000000
χ564-44-44-44-400000000000000−4i4i00−222222−22000000002i2−2i2−2i22i200000000000000000000
χ574-4-4444-4-4-4-44000044-400-440000000000000000000000000000000000000000
χ584-4-4444-4-4-4-4400004-44004-40000000000000000000000000000000000000000
χ594-4-4-4-44444-4-44-4-444004-4000000000000000000000000000000000000000000
χ604-4-4-4-44444-4-4-444-4400-44000000000000000000000000000000000000000000
χ614-4-4-4-4444-4444-4-44-400-44000000000000000000000000000000000000000000
χ624-4-4-4-4444-444-444-4-4004-4000000000000000000000000000000000000000000

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