Finite Group Databasebeta

← Group #281879

Character table — Group #281879

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488882244488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-1-1111111-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11-1
χ101111111111111111-1-1-1-111-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-11-1
χ17222222222-2-2-2222-222-2-2-2-2-2-20000222-2-2000000000000000000-22000000000000
χ18222222222-2-2-2222-222-2-2-2-2-2-20000-2-22220000000000000000002-2000000000000
χ19222222222-2-2-2222-2-2-222-2-222000022-2-2-20000000000000000002-2000000000000
χ20222222222-2-2-2222-2-2-222-2-2220000-2-2-222000000000000000000-22000000000000
χ2122222222-2222-2-2-222222-2-2-2-2222200-200-2-222-2-200000000000000000000000000
χ2222222222-2222-2-2-222222-2-2-2-2-2-2-2-200-20022-2-22200000000000000000000000000
χ2322222222-2222-2-2-22-2-2-2-2-2-222222200200-2-2-2-22200000000000000000000000000
χ2422222222-2222-2-2-22-2-2-2-2-2-222-2-2-2-2002002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222000000-200000000000000002i2i−2i−2i00000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-222-2-22222000000-20000000000000000−2i−2i2i2i0000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-2000000200000000000000002i2i−2i−2i0000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-200000020000000000000000−2i−2i2i2i00000000002i−2i00
χ292-2-22-222-2022-2000-22-22-200002i2i−2i−2i00000002i−2i0022−2−222−2−20000000000i2−i2i2−i20000
χ302-2-22-222-2022-2000-22-22-200002i2i−2i−2i00000002i−2i00−2−222−2−2220000000000−i2i2−i2i20000
χ312-2-22-222-2022-2000-22-22-20000−2i−2i2i2i0000000−2i2i0022−2−222−2−20000000000−i2i2−i2i20000
χ322-2-22-222-2022-2000-22-22-20000−2i−2i2i2i0000000−2i2i00−2−222−2−2220000000000i2−i2i2−i20000
χ332-2-22-222-2022-2000-2-22-2200002i2i−2i−2i0000000−2i2i0022−2−2−2−2220000000000i2−i2−i2i20000
χ342-2-22-222-2022-2000-2-22-2200002i2i−2i−2i0000000−2i2i00−2−22222−2−20000000000−i2i2i2−i20000
χ352-2-22-222-2022-2000-2-22-220000−2i−2i2i2i00000002i−2i0022−2−2−2−2220000000000−i2i2i2−i20000
χ362-2-22-222-2022-2000-2-22-220000−2i−2i2i2i00000002i−2i00−2−22222−2−20000000000i2−i2−i2i20000
χ372-2-2-22-22222-222-2-2-200002-2000000000000000002i−2i2i−2i00002i−2i2i−2i002-20000000000
χ382-2-2-22-22222-222-2-2-200002-2000000000000000002i−2i2i−2i0000−2i2i−2i2i00-220000000000
χ392-2-2-22-22222-222-2-2-200002-200000000000000000−2i2i−2i2i00002i−2i2i−2i00-220000000000
χ402-2-2-22-22222-222-2-2-200002-200000000000000000−2i2i−2i2i0000−2i2i−2i2i002-20000000000
χ412-2-2-22-222-2-22-2-222200002-20000000000000000000002-22-22-2-2200002-200000000
χ422-2-2-22-222-2-22-2-222200002-20000000000000000000002-22-2-222-20000-2200000000
χ432-2-2-22-222-2-22-2-222200002-2000000000000000000000-22-222-2-220000-2200000000
χ442-2-2-22-222-2-22-2-222200002-2000000000000000000000-22-22-222-200002-200000000
χ45444-4-4-44-404-4-40004000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ46444-4-4-44-404-4-4000400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ47444-4-4-44-40-444000-400000000000000000000000000022−22−2222000000000000000000
χ48444-4-4-44-40-444000-4000000000000000000000000000−222222−22000000000000000000
χ4944-444-4-4-44000-4-4400000000022−2222−220000022−22000000000000000000000000000000
χ5044-444-4-4-44000-4-44000000000−2222−222200000−2222000000000000000000000000000000
χ5144-444-4-4-4-400044-400000000022−2222−2200000−2222000000000000000000000000000000
χ5244-444-4-4-4-400044-4000000000−2222−22220000022−22000000000000000000000000000000
χ534-444-4-4-44000000000000004-42i2−2i2−2i22i20000000002i2−2i200000000000000000000000000
χ544-444-4-4-44000000000000004-4−2i22i22i2−2i2000000000−2i22i200000000000000000000000000
χ554-444-4-4-4400000000000000-442i2−2i2−2i22i2000000000−2i22i200000000000000000000000000
χ564-444-4-4-4400000000000000-44−2i22i22i2−2i20000000002i2−2i200000000000000000000000000
χ574-44-444-4-44000-44-400000000000004-400000000000000000000000000000000000
χ584-44-444-4-44000-44-40000000000000-4400000000000000000000000000000000000
χ594-44-444-4-4-40004-4400000000000000004i−4i00000000000000000000000000000000
χ604-44-444-4-4-40004-440000000000000000−4i4i00000000000000000000000000000000
χ614-4-44-444-40-4-4400044-4-44000000000000000000000000000000000000000000000
χ624-4-44-444-40-4-440004-444-4000000000000000000000000000000000000000000000
χ634-4-4-44-4444-44-44-4-440000-440000000000000000000000000000000000000000000
χ644-4-4-44-444-44-44-444-40000-440000000000000000000000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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