Finite Group Databasebeta

← Group #246014

Character table — Group #246014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222222222244444422444444444444444888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-11111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-111111111
χ5111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1
χ6111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
χ91111111111-1-1-1-111-1-11-1-11111111-1-1-1111111-1-1-1-11111-1-1-1-1-111-11-1-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-11-1-11111111-1-1-111-1-1-1-11111-1-1-1-11111-111-11-1-1-1-1-111-1-111
χ111111111111-1-1-1-111-1-11-1-111111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11-11-11-1-111-1-111
χ121111111111-1-1-1-111-1-11-1-111111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-11-1111-1-111-1-1
χ131111111111-1-1-1-111-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-111-111-1-1-1-111
χ141111111111-1-1-1-111-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111-1-1-11111-1-1
χ151111111111-1-1-1-111-1-11-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-11-111-1-11111-1-1
χ161111111111-1-1-1-111-1-11-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11-11-11111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-20022-2220000000000000000000-200000-200000000
χ18222222222222222222-2-2-2-2-2-200-2-2-2-2-20000000000000000000200000200000000
χ192222222222-2-2-2-222-2-2-222-2-2-200222-2-20000000000000000000-200000200000000
χ202222222222-2-2-2-222-2-2-222-2-2-200-2-22220000000000000000000200000-200000000
χ2122222222-2-22222-2-2-2-2222-2-222200-200-2-20000000000000000200000-2000000000
χ2222222222-2-22222-2-2-2-2222-2-22-2-200-200220000000000000000-2000002000000000
χ2322222222-2-22222-2-2-2-2-2-2-222-200002000000000000000000000022-2-20000000000
χ2422222222-2-22222-2-2-2-2-2-2-222-2000020000000000000000000000-2-2220000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-222200200-2-20000000000000000-2000002000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-22-2-200200220000000000000000200000-2000000000
χ2722222222-2-2-2-2-2-2-2-222-22222-20000-200000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-222-22222-20000-20000000000000000000000-222-20000000000
χ29222-2-2-2-222222-2-2-2-22-2000000002i−2i02i−2i000000000022−2−222−2−2000000000000i2−i2i2−i2
χ30222-2-2-2-222222-2-2-2-22-2000000002i−2i02i−2i0000000000−2−222−2−222000000000000−i2i2−i2i2
χ31222-2-2-2-222222-2-2-2-22-200000000−2i2i0−2i2i000000000022−2−222−2−2000000000000−i2i2−i2i2
χ32222-2-2-2-222222-2-2-2-22-200000000−2i2i0−2i2i0000000000−2−222−2−222000000000000i2−i2i2−i2
χ33222-2-2-2-2222-2-222-2-2-22000000002i−2i0−2i2i000000000022−2−2−2−222000000000000i2−i2−i2i2
χ34222-2-2-2-2222-2-222-2-2-22000000002i−2i0−2i2i0000000000−2−22222−2−2000000000000−i2i2i2−i2
χ35222-2-2-2-2222-2-222-2-2-2200000000−2i2i02i−2i000000000022−2−2−2−222000000000000−i2i2i2−i2
χ36222-2-2-2-2222-2-222-2-2-2200000000−2i2i02i−2i0000000000−2−22222−2−2000000000000i2−i2−i2i2
χ372-2-22-2-2222-200002-200-2002-222-2000002-2000022-2-200002-22-20000000000000000
χ382-2-22-2-2222-200002-200-2002-222-2000002-20000-2-2220000-22-220000000000000000
χ392-2-22-2-2222-200002-200-2002-22-2200000-22000022-2-20000-22-220000000000000000
χ402-2-22-2-2222-200002-200-2002-22-2200000-220000-2-22200002-22-20000000000000000
χ412-2-22-2-222-220000-2200-200-2222-200000-2222-2-200002-22-200000000000000000000
χ422-2-22-2-222-220000-2200-200-2222-200000-22-2-2220000-22-2200000000000000000000
χ432-2-22-2-222-220000-2200-200-222-22000002-222-2-20000-22-2200000000000000000000
χ442-2-22-2-222-220000-2200-200-222-22000002-2-2-22200002-22-200000000000000000000
χ45444-4-4-4-44-4-444-4-444-4400000000000000000000000000000000000000000000000
χ46444-4-4-4-44-4-4-4-444444-400000000000000000000000000000000000000000000000
χ4744-444-4-4-4004-44-400000000000000000000000000000000000000000002-22-20000
χ4844-444-4-4-4004-44-40000000000000000000000000000000000000000000-22-220000
χ4944-444-4-4-400-44-4400000000000000000000000000000000000000000002-2-220000
χ5044-444-4-4-400-44-440000000000000000000000000000000000000000000-222-20000
χ5144-4-4-444-4004-4-4400000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ5244-4-4-444-4004-4-440000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ5344-4-4-444-400-444-400000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ5444-4-4-444-400-444-40000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ554-44-44-44-4000000000004-40000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ564-44-44-44-4000000000004-4000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ574-44-44-44-400000000000-440000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ584-44-44-44-400000000000-44000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ594-4-44-4-4444-400004-400400-44-400000000000000000000000000000000000000000
χ604-4-44-4-444-440000-44004004-4-400000000000000000000000000000000000000000
χ614-4-4-444-444-40000-440000000000000000000000000000022−22−22220000000000000000
χ624-4-4-444-444-40000-4400000000000000000000000000000−222222−220000000000000000
χ634-4-4-444-44-4400004-4000000000000000000000000022−22−222200000000000000000000
χ644-4-4-444-44-4400004-40000000000000000000000000−222222−2200000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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