Finite Group Databasebeta

← Group #351598

Character table — Group #351598

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444442244444444444444448888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ121111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-22222-2-222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-22222-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-2222222-2-2-2-2220000000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ2122222222-2-22222-2-222-2-2-2-2-2-2220000000022-2-222-2-200000000000000000000
χ2222222222-2-22222-2-222-2-2-2-2-2-22200000000-2-222-2-22200000000000000000000
χ2322222222-2-22222-2-2-2-2-2-22222-2-20000000022-2-2-2-22200000000000000000000
χ2422222222-2-22222-2-2-2-2-2-22222-2-200000000-2-22222-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ292-222-2-22-22-222-2-22-2002-2000000002i−2i002i−2i00002i−2i2i−2i2-22-20000000000000000
χ302-222-2-22-22-222-2-22-2002-2000000002i−2i002i−2i0000−2i2i−2i2i-22-220000000000000000
χ312-222-2-22-22-222-2-22-2002-200000000−2i2i00−2i2i00002i−2i2i−2i-22-220000000000000000
χ322-222-2-22-22-222-2-22-2002-200000000−2i2i00−2i2i0000−2i2i−2i2i2-22-20000000000000000
χ332-222-2-22-22-2-2-2222-200-22000000002i−2i00−2i2i2-22-2000000002i−2i2i−2i000000000000
χ342-222-2-22-22-2-2-2222-200-22000000002i−2i00−2i2i-22-2200000000−2i2i−2i2i000000000000
χ352-222-2-22-22-2-2-2222-200-2200000000−2i2i002i−2i2-22-200000000−2i2i−2i2i000000000000
χ362-222-2-22-22-2-2-2222-200-2200000000−2i2i002i−2i-22-22000000002i−2i2i−2i000000000000
χ372-222-2-22-2-2222-2-2-2200-220000002i−2i002i−2i0000002i−2i−2i2i00002-2-22000000000000
χ382-222-2-22-2-2222-2-2-2200-220000002i−2i002i−2i000000−2i2i2i−2i0000-222-2000000000000
χ392-222-2-22-2-2222-2-2-2200-22000000−2i2i00−2i2i0000002i−2i−2i2i0000-222-2000000000000
χ402-222-2-22-2-2222-2-2-2200-22000000−2i2i00−2i2i000000−2i2i2i−2i00002-2-22000000000000
χ412-222-2-22-2-22-2-222-22002-20000002i−2i00−2i2i002-2-2200002i−2i−2i2i0000000000000000
χ422-222-2-22-2-22-2-222-22002-20000002i−2i00−2i2i00-222-20000−2i2i2i−2i0000000000000000
χ432-222-2-22-2-22-2-222-22002-2000000−2i2i002i−2i002-2-220000−2i2i2i−2i0000000000000000
χ442-222-2-22-2-22-2-222-22002-2000000−2i2i002i−2i00-222-200002i−2i−2i2i0000000000000000
χ45444-4-4-4-444-40000-440000004i−4i4i−4i000000000000000000000000000000000000
χ46444-4-4-4-444-40000-44000000−4i4i−4i4i000000000000000000000000000000000000
χ47444-4-4-4-44-4400004-40000004i−4i−4i4i000000000000000000000000000000000000
χ48444-4-4-4-44-4400004-4000000−4i4i4i−4i000000000000000000000000000000000000
χ4944-4-44-44-4004-44-4000000000000000000000000000000000000002i2−2i200000000
χ5044-4-44-44-4004-44-400000000000000000000000000000000000000−2i22i200000000
χ5144-4-44-44-400-44-440000000000000000000000000000000000002i2−2i20000000000
χ5244-4-44-44-400-44-44000000000000000000000000000000000000−2i22i20000000000
χ534-44-444-4-4440000-4-44-4004-40000000000000000000000000000000000000000
χ544-44-444-4-4440000-4-4-4400-440000000000000000000000000000000000000000
χ554-44-444-4-4-4-40000444-400-440000000000000000000000000000000000000000
χ564-44-444-4-4-4-4000044-44004-40000000000000000000000000000000000000000
χ574-4-4-4-4444004-4-44000000000000000000000000000000000000000022−22000000
χ584-4-4-4-4444004-4-440000000000000000000000000000000000000000−2222000000
χ594-4-4-4-444400-444-400000000000000000000000000000000000000000022−220000
χ604-4-4-4-444400-444-4000000000000000000000000000000000000000000−22220000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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