Finite Group Databasebeta

← Group #287930

Character table — Group #287930

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822444444888822
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
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
χ91111111111-1-1-1-1111111-1-1-1-111-1111111-1-11111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-1-1-111-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-11-1111-1-1-1-111-11
χ121111111111-1-1-1-1111111-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-1-11-1
χ131111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11-11-1-11111-1-1-11
χ141111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-11-1111-1-1-1-1111-1
χ151111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-11-1-1-111-1-1111-1
χ161111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-11111111-11-111-1-111-1-1-11
χ1722222222222222-22-2-2-2222-2-2-2-2-200000000000000000000000022-2-20000000000
χ1822222222222222-22-2-2-2222-2-2-2-2-2000000000000000000000000-2-2220000000000
χ192222222222-2-2-2-2-22-2-2-22-2-222-2-220000000000000000000000002-2-220000000000
χ202222222222-2-2-2-2-22-2-2-22-2-222-2-22000000000000000000000000-222-20000000000
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
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-22222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2222−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2522222222-2-2-2-2-2-22-2222-222-2-2-2-22000022-2-200000000-2-222000000000000000000
χ2622222222-2-2-2-2-2-22-2222-222-2-2-2-220000-2-2220000000022-2-2000000000000000000
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
χ29222-2-22-2-20022-2-2202-2-20002-20000000000022−2−200002i−2i2i−2i22−2−200000000i2−i2i2−i200
χ30222-2-22-2-20022-2-2202-2-20002-20000000000022−2−20000−2i2i−2i2i22−2−200000000−i2i2−i2i200
χ31222-2-22-2-20022-2-2202-2-20002-200000000000−2−22200002i−2i2i−2i−2−22200000000−i2i2−i2i200
χ32222-2-22-2-20022-2-2202-2-20002-200000000000−2−2220000−2i2i−2i2i−2−22200000000i2−i2i2−i200
χ33222-2-22-2-200-2-222202-2-2000-220000000000022−2−200002i−2i−2i2i−2−22200000000i2−i2−i2i200
χ34222-2-22-2-200-2-222202-2-2000-220000000000022−2−20000−2i2i2i−2i−2−22200000000−i2i2i2−i200
χ35222-2-22-2-200-2-222202-2-2000-2200000000000−2−22200002i−2i−2i2i22−2−200000000−i2i2i2−i200
χ36222-2-22-2-200-2-222202-2-2000-2200000000000−2−2220000−2i2i2i−2i22−2−200000000i2−i2−i2i200
χ372-2-22-222-22-2000022-22-2-200002-20000000002-22-22i−2i2i−2i000000000000002i−2i000000
χ382-2-22-222-22-2000022-22-2-200002-20000000002-22-2−2i2i−2i2i00000000000000−2i2i000000
χ392-2-22-222-22-2000022-22-2-200002-2000000000-22-222i−2i2i−2i00000000000000−2i2i000000
χ402-2-22-222-22-2000022-22-2-200002-2000000000-22-22−2i2i−2i2i000000000000002i−2i000000
χ412-2-22-222-2-220000-2-22-22200002-200000000000002-2-2200002-22-200002-200000000
χ422-2-22-222-2-220000-2-22-22200002-200000000000002-2-220000-22-220000-2200000000
χ432-2-22-222-2-220000-2-22-22200002-20000000000000-222-200002-22-20000-2200000000
χ442-2-22-222-2-220000-2-22-22200002-20000000000000-222-20000-22-2200002-200000000
χ45444-4-44-4-40044-4-4-40-444000-4400000000000000000000000000000000000000000
χ46444-4-44-4-400-4-444-40-4440004-400000000000000000000000000000000000000000
χ4744-444-4-4-4444-44-40-4000-44-40000000000000000000000000000000000000000000
χ4844-444-4-4-444-44-440-4000-4-440000000000000000000000000000000000000000000
χ4944-444-4-4-4-4-44-44-4040004-440000000000000000000000000000000000000000000
χ5044-444-4-4-4-4-4-44-440400044-40000000000000000000000000000000000000000000
χ5144-4-4-4-444004-4-440000000000000000022−2222−22000000000000000000000000000000
χ5244-4-4-4-444004-4-4400000000000000000−2222−2222000000000000000000000000000000
χ5344-4-4-4-44400-444-40000000000000000022−22−2222000000000000000000000000000000
χ5444-4-4-4-44400-444-400000000000000000−222222−22000000000000000000000000000000
χ554-444-4-4-444-400000-40004000000022−2222−220000000000000000000000000000000000
χ564-444-4-4-444-400000-400040000000−2222−22220000000000000000000000000000000000
χ574-444-4-4-44-44000004000-400000002i2−2i2−2i22i20000000000000000000000000000000000
χ584-444-4-4-44-44000004000-40000000−2i22i22i2−2i20000000000000000000000000000000000
χ594-4-44-444-44-40000-444-44-40000-44000000000000000000000000000000000000000
χ604-4-44-444-4-4400004-4-44-440000-44000000000000000000000000000000000000000
χ614-4-4-444-4400000040-4-44000000000000000022−22−222200000000000000000000000000
χ624-4-4-444-4400000040-4-440000000000000000−222222−2200000000000000000000000000
χ634-4-4-444-44000000-4044-4000000000000000000000000000022−22−222200000000000000
χ644-4-4-444-44000000-4044-40000000000000000000000000000−222222−2200000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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