Finite Group Databasebeta

← Group #276206

Character table — Group #276206

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1111111-1-1
χ91111111111111111-1-111-1-1-1-11111-1111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-111-1-11-1
χ101111111111111111-1-111-1-1-1-11111-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-1-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-11-1-1-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1-11
χ172222222222-2-2-2-22222-2-222-2-20000-222-2-200000000000000000000200-200000000
χ182222222222-2-2-2-22222-2-222-2-20000-2-2-22200000000000000000000-200200000000
χ192222222222-2-2-2-222-2-2-2-2-2-2220000222-2-200000000000000000000-200200000000
χ202222222222-2-2-2-222-2-2-2-2-2-22200002-2-22200000000000000000000200-200000000
χ2122222222-2-22222-2-222-2-2-2-2222222-20000-2-222-2-200000000000000000000000000
χ2222222222-2-22222-2-222-2-2-2-222-2-2-2-2-2000022-2-22200000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-222-2-2222220000-2-2-2-22200000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-222-2-2-2-2-2-2200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-20000200000000002i2i−2i−2i000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2000020000000000−2i−2i2i2i00000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-200000000002i2i−2i−2i00000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000−2i−2i2i2i000000000000002i−2i000000
χ292-222-22-2-20022-2-2002i−2i00002i−2i2i2i−2i−2i00000002-2000000i2i2−i2−i222−2−2000000002−2i2−i200
χ302-222-22-2-20022-2-2002i−2i00002i−2i2i2i−2i−2i00000002-2000000−i2−i2i2i2−2−22200000000−22−i2i200
χ312-222-22-2-20022-2-2002i−2i00002i−2i−2i−2i2i2i0000000-22000000i2i2−i2−i222−2−200000000−22−i2i200
χ322-222-22-2-20022-2-2002i−2i00002i−2i−2i−2i2i2i0000000-22000000−i2−i2i2i2−2−222000000002−2i2−i200
χ332-222-22-2-20022-2-200−2i2i0000−2i2i2i2i−2i−2i0000000-22000000i2i2−i2−i2−2−222000000002−2−i2i200
χ342-222-22-2-20022-2-200−2i2i0000−2i2i2i2i−2i−2i0000000-22000000−i2−i2i2i222−2−200000000−22i2−i200
χ352-222-22-2-20022-2-200−2i2i0000−2i2i−2i−2i2i2i00000002-2000000i2i2−i2−i2−2−22200000000−22i2−i200
χ362-222-22-2-20022-2-200−2i2i0000−2i2i−2i−2i2i2i00000002-2000000−i2−i2i2i222−2−2000000002−2−i2i200
χ372-2-2-222-222-22-22-22-2002-20000000002i−2i2i−2i000000000000002i−2i2i−2i2-2000000000000
χ382-2-2-222-222-22-22-22-2002-20000000002i−2i2i−2i00000000000000−2i2i−2i2i-22000000000000
χ392-2-2-222-222-22-22-22-2002-2000000000−2i2i−2i2i000000000000002i−2i2i−2i-22000000000000
χ402-2-2-222-222-22-22-22-2002-2000000000−2i2i−2i2i00000000000000−2i2i−2i2i2-2000000000000
χ412-2-2-222-222-2-22-222-200-220000000002i−2i−2i2i00000000002-22-200000002i−2i000000000
χ422-2-2-222-222-2-22-222-200-220000000002i−2i−2i2i0000000000-22-220000000−2i2i000000000
χ432-2-2-222-222-2-22-222-200-22000000000−2i2i2i−2i00000000002-22-20000000−2i2i000000000
χ442-2-2-222-222-2-22-222-200-22000000000−2i2i2i−2i0000000000-22-2200000002i−2i000000000
χ45444-4-4-4-44440000-4-40000000022−2222−220000022−22000000000000000000000000000000
χ46444-4-4-4-44440000-4-400000000−2222−222200000−2222000000000000000000000000000000
χ47444-4-4-4-44-4-40000440000000022−2222−2200000−2222000000000000000000000000000000
χ48444-4-4-4-44-4-400004400000000−2222−22220000022−22000000000000000000000000000000
χ4944-4-4-444-4004-4-440000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5044-4-4-444-4004-4-44000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ5144-4-4-444-400-444-4000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-4-4-444-400-444-400000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-444-44-4-400-4-444004i−4i0000−4i4i00000000000000000000000000000000000000000
χ544-444-44-4-400-4-44400−4i4i00004i−4i00000000000000000000000000000000000000000
χ554-44-44-44-40000000000004-4002i2−2i2−2i22i20000000002i2−2i200000000000000000000000000
χ564-44-44-44-40000000000004-400−2i22i22i2−2i2000000000−2i22i200000000000000000000000000
χ574-44-44-44-4000000000000-44002i2−2i2−2i22i2000000000−2i22i200000000000000000000000000
χ584-44-44-44-4000000000000-4400−2i22i22i2−2i20000000002i2−2i200000000000000000000000000
χ594-4-44-4-4444-40000-440000000000000000000000022−2222−220000000000000000000000
χ604-4-44-4-4444-40000-4400000000000000000000000−2222−22220000000000000000000000
χ614-4-44-4-444-4400004-4000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ624-4-44-4-444-4400004-400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ634-4-4-444-44-444-44-4-4400-44000000000000000000000000000000000000000000000
χ644-4-4-444-44-44-44-44-44004-4000000000000000000000000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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