Finite Group Databasebeta

← Group #290229

Character table — Group #290229

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-11-111-1-11-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1111-1-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-11-1-111-11
χ121111111111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1111-1-11-1
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11-1-111-1111-1-1-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1111-1-1-11-1-1111-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-1-1-1111-1-1-1111-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111-111-1-11-111-1-1-11
χ1722222222222222-22-2-2-22-2-2-2-222-2000000000000000000000000220000-2-2000000
χ1822222222222222-22-2-2-22-2-2-2-222-2000000000000000000000000-2-2000022000000
χ192222222222-2-2-2-2-22-2-2-22-2-222-2-220000000000000000000000002-20000-22000000
χ202222222222-2-2-2-2-22-2-2-22-2-222-2-22000000000000000000000000-2200002-2000000
χ2122222222-2-222222-2222-2-2-222-2-2-20000222200000000-2-2-2-2000000000000000000
χ2222222222-2-222222-2222-2-2-222-2-2-20000-2-2-2-2000000002222000000000000000000
χ2322222222-2-22222-2-2-2-2-2-222-2-2-2-222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-222-2-2-2-22−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2522222222-2-2-2-2-2-22-2222-2-2-2-2-2222000022-2-200000000-2-222000000000000000000
χ2622222222-2-2-2-2-2-22-2222-2-2-2-2-22220000-2-2220000000022-2-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i00000000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i000000002i2i−2i−2i0000000000000000000000
χ29222-22-2-2-22-20000222-2-2-22-2000002-22-2000022-2-2000000000000002-20000000000
χ30222-22-2-2-22-20000222-2-2-22-2000002-22-20000-2-22200000000000000-220000000000
χ31222-22-2-2-22-20000222-2-2-22-200000-22-22000022-2-200000000000000-220000000000
χ32222-22-2-2-22-20000222-2-2-22-200000-22-220000-2-222000000000000002-20000000000
χ33222-22-2-2-2-220000-2-2-22222-2000002i−2i−2i2i000000000000000022-2-200002i−2i00000000
χ34222-22-2-2-2-220000-2-2-22222-2000002i−2i−2i2i0000000000000000-2-2220000−2i2i00000000
χ35222-22-2-2-2-220000-2-2-22222-200000−2i2i2i−2i000000000000000022-2-20000−2i2i00000000
χ36222-22-2-2-2-220000-2-2-22222-200000−2i2i2i−2i0000000000000000-2-22200002i−2i00000000
χ372-2-2222-2-20022-2-2-202-220002-200000002i−2i2i−2i2−22−2000000002−22−200000000i2−i2i2−i200
χ382-2-2222-2-20022-2-2-202-220002-200000002i−2i2i−2i−22−2200000000−22−2200000000−i2i2−i2i200
χ392-2-2222-2-20022-2-2-202-220002-20000000−2i2i−2i2i2−22−2000000002−22−200000000−i2i2−i2i200
χ402-2-2222-2-20022-2-2-202-220002-20000000−2i2i−2i2i−22−2200000000−22−2200000000i2−i2i2−i200
χ412-2-2222-2-200-2-222-202-22000-2200000002i−2i−2i2i2−22−200000000−22−2200000000i2−i2−i2i200
χ422-2-2222-2-200-2-222-202-22000-2200000002i−2i−2i2i−22−22000000002−22−200000000−i2i2i2−i200
χ432-2-2222-2-200-2-222-202-22000-220000000−2i2i2i−2i2−22−200000000−22−2200000000−i2i2i2−i200
χ442-2-2222-2-200-2-222-202-22000-220000000−2i2i2i−2i−22−22000000002−22−200000000i2−i2−i2i200
χ45444-44-4-4-44-40000-44-444-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-4400004-44-4-44-440000000000000000000000000000000000000000000
χ4744-44-4-44-4004-44-40000000000000000000000000000022−2222−22000000000000000000
χ4844-44-4-44-4004-44-400000000000000000000000000000−2222−2222000000000000000000
χ4944-44-4-44-400-44-440000000000000000000000000000022−22−2222000000000000000000
χ5044-44-4-44-400-44-4400000000000000000000000000000−222222−22000000000000000000
χ514-444-4-4-44444-4-440-4000-400004-4000000000000000000000000000000000000000
χ524-444-4-4-4444-444-40-4000-40000-44000000000000000000000000000000000000000
χ534-444-4-4-44-4-44-4-440400040000-44000000000000000000000000000000000000000
χ544-444-4-4-44-4-4-444-404000400004-4000000000000000000000000000000000000000
χ554-44-4-444-44-400000-4000400000000000000000002i2−2i22i2−2i20000000000000000000000
χ564-44-4-444-44-400000-400040000000000000000000−2i22i2−2i22i20000000000000000000000
χ574-44-4-444-4-44000004000-4000000000000000000022−22−22220000000000000000000000
χ584-44-4-444-4-44000004000-40000000000000000000−222222−220000000000000000000000
χ594-4-4444-4-40044-4-440-44-4000-4400000000000000000000000000000000000000000
χ604-4-4444-4-400-4-44440-44-40004-400000000000000000000000000000000000000000
χ614-4-4-44-44400000040-4-44000000000000000000000000000022−22−222200000000000000
χ624-4-4-44-44400000040-4-440000000000000000000000000000−222222−2200000000000000
χ634-4-4-44-444000000-4044-4000000000000000022−22−222200000000000000000000000000
χ644-4-4-44-444000000-4044-40000000000000000−222222−2200000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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