Finite Group Databasebeta

← Group #293272

Character table — Group #293272

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444442244444444444444888888888888888824444444888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ5111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111
χ6111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-111
χ91111111111111111-1-11-1-11-1-1111111-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-11-1
χ101111111111111111-1-11-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111-11
χ111111111111111111-1-11-1-11-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-11
χ121111111111111111-1-11-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1-11-1
χ131111111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1111-1
χ141111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-11
χ151111111111111111-1-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111111-1-1-11
χ161111111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1111-1-1111-1
χ172222222222-2-2-222-222-2-2-2-2-222200-2-20000000000000000000-2200000000000
χ182222222222-2-2-222-222-2-2-2-2-22-2-2002200000000000000000002-200000000000
χ192222222222-2-2-222-2-2-2-222-22-22200-2-200000000000000000002-200000000000
χ202222222222-2-2-222-2-2-2-222-22-2-2-200220000000000000000000-2200000000000
χ2122222222-2-2222-2-2222-222-2-2-2002200220000000000000000-20000-200000000
χ2222222222-2-2222-2-2222-222-2-2-200-2-200-2-2000000000000000020000200000000
χ2322222222-2-2222-2-22-2-2-2-2-2-222002200-2-20000000000000000-20000200000000
χ2422222222-2-2222-2-22-2-2-2-2-2-22200-2-20022000000000000000020000-200000000
χ2522222222-2-2-2-2-2-2-2-2222-2-222-20000000000000000000000000002-202-2000000
χ2622222222-2-2-2-2-2-2-2-2222-2-222-2000000000000000000000000000-220-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-220000000000000000000000000002-20-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-22000000000000000000000000000-2202-2000000
χ2922-2-2-22-220022-200-22-202-2000002i−2i002i−2i0000000022−2−222−2−200000000i2−i2i2−i200
χ3022-2-2-22-220022-200-22-202-2000002i−2i002i−2i00000000−2−222−2−22200000000−i2i2−i2i200
χ3122-2-2-22-220022-200-22-202-200000−2i2i00−2i2i0000000022−2−222−2−200000000−i2i2−i2i200
χ3222-2-2-22-220022-200-22-202-200000−2i2i00−2i2i00000000−2−222−2−22200000000i2−i2i2−i200
χ3322-2-2-22-220022-200-2-220-22000002i−2i00−2i2i0000000022−2−2−2−22200000000i2−i2−i2i200
χ3422-2-2-22-220022-200-2-220-22000002i−2i00−2i2i00000000−2−22222−2−200000000−i2i2i2−i200
χ3522-2-2-22-220022-200-2-220-2200000−2i2i002i−2i0000000022−2−2−2−22200000000−i2i2i2−i200
χ3622-2-2-22-220022-200-2-220-2200000−2i2i002i−2i00000000−2−22222−2−200000000i2−i2−i2i200
χ372-222-22-2-22-22-222-2-200-2002002i−2i002i−2i0000002i2i−2i−2i00002-22-200000000000000
χ382-222-22-2-22-22-222-2-200-2002002i−2i002i−2i000000−2i−2i2i2i0000-22-2200000000000000
χ392-222-22-2-22-22-222-2-200-200200−2i2i00−2i2i0000002i2i−2i−2i0000-22-2200000000000000
χ402-222-22-2-22-22-222-2-200-200200−2i2i00−2i2i000000−2i−2i2i2i00002-22-200000000000000
χ412-222-22-2-22-2-22-22-2200200-2002i−2i00−2i2i0022-2-200002i−2i2i−2i000000000000000000
χ422-222-22-2-22-2-22-22-2200200-2002i−2i00−2i2i00-2-2220000−2i2i−2i2i000000000000000000
χ432-222-22-2-22-2-22-22-2200200-200−2i2i002i−2i0022-2-20000−2i2i−2i2i000000000000000000
χ442-222-22-2-22-2-22-22-2200200-200−2i2i002i−2i00-2-22200002i−2i2i−2i000000000000000000
χ4544-444-4-4-444000-4-40000000000000000022−2222−2200000000000000000000000000
χ4644-444-4-4-444000-4-400000000000000000−2222−222200000000000000000000000000
χ4744-444-4-4-4-4-4000440000000000000000000002i2−2i22i2−2i20000000000000000000000
χ4844-444-4-4-4-4-400044000000000000000000000−2i22i2−2i22i20000000000000000000000
χ4944-4-4-44-4400-4-440044-40-4400000000000000000000000000000000000000000
χ5044-4-4-44-4400-4-44004-4404-400000000000000000000000000000000000000000
χ514-444-44-4-4-444-44-44-400400-40000000000000000000000000000000000000000
χ524-444-44-4-4-44-44-4-44400-40040000000000000000000000000000000000000000
χ534-4-44-4-4444-4000-440000000000000000022−22−222200000000000000000000000000
χ544-4-44-4-4444-4000-4400000000000000000−222222−2200000000000000000000000000
χ554-4-44-4-444-440004-400000000000000000000022−22−22220000000000000000000000
χ564-4-44-4-444-440004-4000000000000000000000−222222−220000000000000000000000
χ574-4-4-4444-4004-4-4004000000000000000000000000000022−22−222200000000000000
χ584-4-4-4444-4004-4-40040000000000000000000000000000−222222−2200000000000000
χ594-4-4-4444-400-44400-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ604-4-4-4444-400-44400-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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