Finite Group Databasebeta

← Group #247272

Character table — Group #247272

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442222224444442244444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-11111-11-1-11111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-111111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ101111111111111111-1-1-1-111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ111111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-11111-1-1-1-11-1-1-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-111111-1-1-11111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-2222222-2-2-2-2-2-222200-2-2-2-20000000000000000000000000000
χ182222222222-2-222-2-22222-2-22222-2-2-2-2-200-2-2220000000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-220022220000000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22222-2-222-20022-2-20000000000000000000000000000
χ2122222222-2-222-2-222000022-2-222-2-200-22200002200000000-2-20000000000000000
χ2222222222-2-222-2-222000022-2-222-2-200-2-2-20000-2-200000000220000000000000000
χ2322222222-2-222-2-2220000-2-222-2-2-2-2002220000-2-200000000-220000000000000000
χ2422222222-2-222-2-2220000-2-222-2-2-2-2002-2-2000022000000002-20000000000000000
χ2522222222-2-2-2-2-2-2-2-200002222-2-22200-20000000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-200002222-2-22200-2000000000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2-2-222220020000000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2-2-22222002000000000000000000-22002-20000000000
χ292-2-22-222-22-2002-20022-2-2002i−2i2i−2i0000000002i−2i0022−2−2i2i2−i2−i200000000002−2i2−i20000
χ302-2-22-222-22-2002-20022-2-2002i−2i2i−2i0000000002i−2i00−2−222−i2−i2i2i20000000000−22−i2i20000
χ312-2-22-222-22-2002-20022-2-200−2i2i−2i2i000000000−2i2i0022−2−2−i2−i2i2i200000000002−2−i2i20000
χ322-2-22-222-22-2002-20022-2-200−2i2i−2i2i000000000−2i2i00−2−222i2i2−i2−i20000000000−22i2−i20000
χ332-2-22-222-22-2002-200-2-222002i−2i2i−2i000000000−2i2i0022−2−2i2i2−i2−i20000000000−22−i2i20000
χ342-2-22-222-22-2002-200-2-222002i−2i2i−2i000000000−2i2i00−2−222−i2−i2i2i200000000002−2i2−i20000
χ352-2-22-222-22-2002-200-2-22200−2i2i−2i2i0000000002i−2i0022−2−2−i2−i2i2i20000000000−22i2−i20000
χ362-2-22-222-22-2002-200-2-22200−2i2i−2i2i0000000002i−2i00−2−222i2i2−i2−i200000000002−2−i2i20000
χ372-2-2-222-22-2-22-2222-22-22-20000002-2000002-2000000000000000000002-20000002-2
χ382-2-2-222-22-2-22-2222-22-22-20000002-2000002-200000000000000000000-22000000-22
χ392-2-2-222-22-2-22-2222-2-22-220000002-200000-22000000000000000000002-2000000-22
χ402-2-2-222-22-2-22-2222-2-22-220000002-200000-2200000000000000000000-220000002-2
χ412-2-2-222-22-2-2-2222-222-22-2000000-2200000-2200000000000000002-2000000002-200
χ422-2-2-222-22-2-2-2222-222-22-2000000-2200000-220000000000000000-2200000000-2200
χ432-2-2-222-22-2-2-2222-22-22-22000000-22000002-200000000000000002-200000000-2200
χ442-2-2-222-22-2-2-2222-22-22-22000000-22000002-20000000000000000-22000000002-200
χ45444-4-44-4-44-400-44000000000000004-400000000000000000000000000000000000
χ46444-4-44-4-44-400-4400000000000000-4400000000000000000000000000000000000
χ47444-4-44-4-4-44004-4004-4-44000000000000000000000000000000000000000000000
χ48444-4-44-4-4-44004-400-444-4000000000000000000000000000000000000000000000
χ4944-444-4-4-40000000000004-4000000000000000002-22-22-22-2000000000000000000
χ5044-444-4-4-40000000000004-400000000000000000-22-22-22-22000000000000000000
χ5144-444-4-4-4000000000000-44000000000000000002-22-2-22-22000000000000000000
χ5244-444-4-4-4000000000000-4400000000000000000-22-222-22-2000000000000000000
χ5344-4-4-4-444004-400-440000000000000004-400000000000000000000000000000000
χ5444-4-4-4-444004-400-44000000000000000-4400000000000000000000000000000000
χ5544-4-4-4-44400-44004-40000000000000000000004-400000000000000000000000000
χ5644-4-4-4-44400-44004-4000000000000000000000-4400000000000000000000000000
χ574-444-4-4-44004400-4-40000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-444-4-4-44004400-4-4000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-444-4-4-4400-4-400440000000000000000000000022−22−22220000000000000000000000
χ604-444-4-4-4400-4-4004400000000000000000000000−222222−220000000000000000000000
χ614-4-44-444-4-4400-44000000004i−4i−4i4i000000000000000000000000000000000000000
χ624-4-44-444-4-4400-4400000000−4i4i4i−4i000000000000000000000000000000000000000
χ634-4-4-444-44444-4-4-44-40000000000-440000000000000000000000000000000000000
χ644-4-4-444-4444-44-4-4-4400000000004-40000000000000000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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