Finite Group Databasebeta

← Group #247430

Character table — Group #247430

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444442244444444444444488888888888888882222444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-111-1-1-1-1
χ91111111111111111-1-1-1-1-1-11111-1-1-111111111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-1-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-11-1111-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-11-111111-1-1
χ131111111111111111-1-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-111
χ141111111111111111-1-1-1-1-1-111-1-111-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-111111-1-111-1-1
χ161111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-1-111
χ172222222222-2-222-2-22222-2-2-2-22222-2000000000000000000000000-2000-20000000
χ182222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2000000000000000000000000200020000000
χ192222222222-2-222-2-2-2-2-2-222-2-222-2-22000000000000000000000000-200020000000
χ202222222222-2-222-2-2-2-2-2-222-2-2-2-22220000000000000000000000002000-20000000
χ2122222222-2-222-2-22222-2-2-2-2-2-20000222-2-200000000000000000000000-202000000
χ2222222222-2-222-2-22222-2-2-2-2-2-200002-2-2220000000000000000000000020-2000000
χ2322222222-2-222-2-222-2-22222-2-20000-222-2-20000000000000000000000020-2000000
χ2422222222-2-222-2-222-2-22222-2-20000-2-2-22200000000000000000000000-202000000
χ2522222222-2-2-2-2-2-2-2-222-2-222220000-200000000000000000000000002-20002-20000
χ2622222222-2-2-2-2-2-2-2-222-2-222220000-20000000000000000000000000-22000-220000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2220000200000000000000000000000002-2000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222000020000000000000000000000000-220002-20000
χ29222-22-2-2-2-2-20022002-22-200002-22-200000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ30222-22-2-2-2-2-20022002-22-200002-22-200000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ31222-22-2-2-2-2-20022002-22-20000-22-2200000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ32222-22-2-2-2-2-20022002-22-20000-22-2200000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ33222-22-2-2-2-2-2002200-22-2200002-2-2200000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ34222-22-2-2-2-2-2002200-22-2200002-2-2200000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ35222-22-2-2-2-2-2002200-22-220000-222-200000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ36222-22-2-2-2-2-2002200-22-220000-222-200000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ372-2-2-22-2222-2-2-22-2220000002-2000002-22-200002-22-200000000002-2000000000000
χ382-2-2-22-2222-2-2-22-2220000002-2000002-22-20000-22-220000000000-22000000000000
χ392-2-2-22-2222-2-2-22-2220000002-200000-22-2200002-22-20000000000-22000000000000
χ402-2-2-22-2222-2-2-22-2220000002-200000-22-220000-22-2200000000002-2000000000000
χ412-2-2-22-222-22-2-2-2222000000-22000002-2-222-22-20000000000002-200000000000000
χ422-2-2-22-222-22-2-2-2222000000-22000002-2-22-22-22000000000000-2200000000000000
χ432-2-2-22-222-22-2-2-2222000000-2200000-222-22-22-2000000000000-2200000000000000
χ442-2-2-22-222-22-2-2-2222000000-2200000-222-2-22-220000000000002-200000000000000
χ45444-44-4-4-44400-4-4004-4-44000000000000000000000000000000000000000000000
χ46444-44-4-4-44400-4-400-444-4000000000000000000000000000000000000000000000
χ4744-4-4-444-4004-4004-4000000000000000000000000000000000000000000000002i2−2i2
χ4844-4-4-444-4004-4004-400000000000000000000000000000000000000000000000−2i22i2
χ4944-4-4-444-400-4400-440000000000000000000000000000000000000000000002i2−2i200
χ5044-4-4-444-400-4400-44000000000000000000000000000000000000000000000−2i22i200
χ514-444-4-44-4004-400-4400000000000000000000000002i2−2i22i2−2i200000000000000000000
χ524-444-4-44-4004-400-440000000000000000000000000−2i22i2−2i22i200000000000000000000
χ534-444-4-44-400-44004-4000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ544-444-4-44-400-44004-400000000000000000000000000000−2i22i2−2i22i20000000000000000
χ554-44-4-44-440000000000004-400000000000000000002-2-222-2-220000000000000000
χ564-44-4-44-440000000000004-40000000000000000000-222-2-222-20000000000000000
χ574-44-4-44-44000000000000-4400000000000000000002-2-22-222-20000000000000000
χ584-44-4-44-44000000000000-440000000000000000000-222-22-2-220000000000000000
χ594-4-4444-4-44-400-4400000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ604-4-4444-4-44-400-440000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ614-4-4444-4-4-44004-4000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ624-4-4444-4-4-44004-400000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ634-4-4-44-4444-4444-4-4-4000000-4400000000000000000000000000000000000000000
χ644-4-4-44-444-4444-44-4-40000004-400000000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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