Finite Group Databasebeta

← Group #295696

Character table — Group #295696

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ611111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ711111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ811111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ91111111111111111-1-1-1-111-111-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-11-1
χ101111111111111111-1-1-1-111-111-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11-1-1-111-11
χ111111111111111111-1-1-1-111-111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-11
χ121111111111111111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1111-1-11-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-11-1-1111-1
χ172222222222-2-222-2-22222-2-2-200-22222000000000000000000000000-2-2000000
χ182222222222-2-222-2-22222-2-2-200-2-2-2-2-200000000000000000000000022000000
χ192222222222-2-222-2-2-2-2-2-2-2-2200222-2-2000000000000000000000000-22000000
χ202222222222-2-222-2-2-2-2-2-2-2-22002-2-2220000000000000000000000002-2000000
χ2122222222-2-222-2-22222-2-2-2-2222-20000-2-20000000000000000-22000000000000
χ2222222222-2-222-2-22222-2-2-2-22-2-2-200002200000000000000002-2000000000000
χ2322222222-2-222-2-222-2-222-2-2-22220000-2-200000000000000002-2000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-220000220000000000000000-22000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-20020000000000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2002000000000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222200-20000000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222200-2000000000000000000000000-222-200000000
χ292-222-2-2-222200-2-2002-22-20000002i−2i2i−2i0000000000i2i2−i2−i2i2i2−i2−i2000000002−22−200
χ302-222-2-2-222200-2-2002-22-20000002i−2i2i−2i0000000000−i2−i2i2i2−i2−i2i2i200000000−22−2200
χ312-222-2-2-222200-2-2002-22-2000000−2i2i−2i2i0000000000i2i2−i2−i2i2i2−i2−i200000000−22−2200
χ322-222-2-2-222200-2-2002-22-2000000−2i2i−2i2i0000000000−i2−i2i2i2−i2−i2i2i2000000002−22−200
χ332-222-2-2-222200-2-200-22-220000002i−2i−2i2i0000000000i2i2−i2−i2−i2−i2i2i2000000002−2−2200
χ342-222-2-2-222200-2-200-22-220000002i−2i−2i2i0000000000−i2−i2i2i2i2i2−i2−i200000000−222−200
χ352-222-2-2-222200-2-200-22-22000000−2i2i2i−2i0000000000i2i2−i2−i2−i2−i2i2i200000000−222−200
χ362-222-2-2-222200-2-200-22-22000000−2i2i2i−2i0000000000−i2−i2i2i2i2i2−i2−i2000000002−2−2200
χ372-22-222-2-22-2-2-22-22200002-202i−2i000002i−2i000022-2-200002i−2i2i−2i00000000000000
χ382-22-222-2-22-2-2-22-22200002-202i−2i000002i−2i0000-2-2220000−2i2i−2i2i00000000000000
χ392-22-222-2-22-2-2-22-22200002-20−2i2i00000−2i2i000022-2-20000−2i2i−2i2i00000000000000
χ402-22-222-2-22-2-2-22-22200002-20−2i2i00000−2i2i0000-2-22200002i−2i2i−2i00000000000000
χ412-22-222-2-2-22-2-2-22220000-2202i−2i00000−2i2i22-2-200002i−2i2i−2i000000000000000000
χ422-22-222-2-2-22-2-2-22220000-2202i−2i00000−2i2i-2-2220000−2i2i−2i2i000000000000000000
χ432-22-222-2-2-22-2-2-22220000-220−2i2i000002i−2i22-2-20000−2i2i−2i2i000000000000000000
χ442-22-222-2-2-22-2-2-22220000-220−2i2i000002i−2i-2-22200002i−2i2i−2i000000000000000000
χ45444-4-4-44-44-400-4400000000000000000000000000000022−22−222200000000000000
χ46444-4-4-44-44-400-44000000000000000000000000000000−222222−2200000000000000
χ47444-4-4-44-4-44004-40000000000000000000000000022−22−2222000000000000000000
χ48444-4-4-44-4-44004-400000000000000000000000000−222222−22000000000000000000
χ4944-444-4-4-4004-4004-40000000000000000000022−2222−220000000000000000000000
χ5044-444-4-4-4004-4004-400000000000000000000−2222−22220000000000000000000000
χ5144-444-4-4-400-4400-44000000000000000022−2222−2200000000000000000000000000
χ5244-444-4-4-400-4400-440000000000000000−2222−222200000000000000000000000000
χ534-444-4-4-44-4-40044004-4-44000000000000000000000000000000000000000000
χ544-444-4-4-44-4-4004400-444-4000000000000000000000000000000000000000000
χ554-44-444-4-44-4444-4-4-40000-440000000000000000000000000000000000000000
χ564-44-444-4-4-4444-44-4-400004-40000000000000000000000000000000000000000
χ574-4-4-44-444004-400-44000000000000000022−22−222200000000000000000000000000
χ584-4-4-44-444004-400-440000000000000000−222222−2200000000000000000000000000
χ594-4-4-44-44400-44004-40000000000000000000022−22−22220000000000000000000000
χ604-4-4-44-44400-44004-400000000000000000000−222222−220000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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