Finite Group Databasebeta

← Group #272196

Character table — Group #272196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444444444444488882444444888888888824444888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111111111-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1
χ4111111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-11111
χ5111111111111111-1-1111111111-1111-1-111-1-1111111-1-11-1-1-1-1-1111-1-111-1-1
χ6111111111111111-1-1111111111-11-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-111-1-111
χ7111111111111111-1-11111-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-11-1-1-1-111
χ8111111111111111-1-11111-1-1-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-11111-1-1
χ91111111111111-1-111-1-1111111-11-11111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1
χ101111111111111-1-111-1-1111111-11-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-11
χ111111111111111-1-111-1-111-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1111-111-1-1-1-1-111-11
χ121111111111111-1-111-1-111-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111-1-11-1
χ131111111111111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-1-11111-111-1-1-11
χ141111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-1-1-111-111-111-1-11-1-1111-1
χ151111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11-1-1-1-1-111111-1
χ161111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1111-1-1111-1-1-1-1-11
χ172222222-22-2-2-22002200-2-2000002000-2-20000002i2i−2i−2i0000002i−2i000000000
χ182222222-22-2-2-22002200-2-2000002000-2-2000000−2i−2i2i2i000000−2i2i000000000
χ192222222-22-2-2-2200-2-200-2-200000-2000220000002i2i−2i−2i000000−2i2i000000000
χ202222222-22-2-2-2200-2-200-2-200000-200022000000−2i−2i2i2i0000002i−2i000000000
χ21222222-22-2222-2220022-2-20000-20-22200220000000000-20000000-2000000
χ22222222-22-2222-2220022-2-20000-20-2-2-200-2-20000000000200000002000000
χ23222222-22-2222-2-2-200-2-2-2-200002022200-2-20000000000-200000002000000
χ24222222-22-2222-2-2-200-2-2-2-20000202-2-20022000000000020000000-2000000
χ252222-2-2222-2-22-22222-2-22-200002-2-2002-200000000002-2000000000000000
χ262222-2-2222-2-22-222-2-2-2-22-2000022-200-220000000000-22000000000000000
χ272222-2-2222-2-22-2-2-222222-20000-2-22002-20000000000-22000000000000000
χ282222-2-2222-2-22-2-2-2-2-2222-20000-22200-2200000000002-2000000000000000
χ292222-2-22-2222-2-2002200-2222220-2000-220022-2-2000000000-200000000000
χ302222-2-22-2222-2-2002200-22-2-2-2-20-2000-2200-2-222000000000200000000000
χ312222-2-22-2222-2-200-2-200-222222020002-200-2-2-2-2000000000200000000000
χ322222-2-22-2222-2-200-2-200-22-2-2-2-2020002-2002222000000000-200000000000
χ332222-2-2-22-2-2-2222200-2-2-220000-202000000000000000002-20000002-20000
χ342222-2-2-22-2-2-2222200-2-2-220000-20200000000000000000-22000000-220000
χ352222-2-2-22-2-2-222-2-20022-22000020-2000000000000000002-2000000-220000
χ362222-2-2-22-2-2-222-2-20022-22000020-200000000000000000-220000002-20000
χ372-22-22-20-202-2202i−2i002i−2i0022−2−20002-2002i−2i002−2i2−i2i2−i2000000002−2000i2−i200
χ382-22-22-20-202-2202i−2i002i−2i0022−2−2000-2200−2i2i002−2i2−i2i2−i200000000−22000−i2i200
χ392-22-22-20-202-2202i−2i002i−2i00−2−2220002-2002i−2i00−22−i2i2−i2i200000000−22000−i2i200
χ402-22-22-20-202-2202i−2i002i−2i00−2−222000-2200−2i2i00−22−i2i2−i2i2000000002−2000i2−i200
χ412-22-22-20-202-220−2i2i00−2i2i0022−2−20002-200−2i2i002−2−i2i2−i2i2000000002−2000−i2i200
χ422-22-22-20-202-220−2i2i00−2i2i0022−2−2000-22002i−2i002−2−i2i2−i2i200000000−22000i2−i200
χ432-22-22-20-202-220−2i2i00−2i2i00−2−2220002-200−2i2i00−22i2−i2i2−i200000000−22000i2−i200
χ442-22-22-20-202-220−2i2i00−2i2i00−2−222000-22002i−2i00−22i2−i2i2−i2000000002−2000−i2i200
χ45444444-4-4-4-4-4-4-40000004400000000000000000000000000000000000000
χ464444-4-4-4-4-444-440000004-400000000000000000000000000000000000000
χ4744-4-40040-40000004-4000022−2222−2200000000022−2200000000000000000000000
χ4844-4-40040-40000004-40000−2222−2222000000000−222200000000000000000000000
χ4944-4-40040-4000000-44000022−2222−22000000000−222200000000000000000000000
χ5044-4-40040-4000000-440000−2222−222200000000022−2200000000000000000000000
χ514-44-44-4040-44-40000000000000000000000000022−22−222200000000000000000
χ524-44-44-4040-44-400000000000000000000000000−222222−2200000000000000000
χ534-44-4-440404-4-40000000002222−22−2200000000000−2222000000000000000000000
χ544-44-4-440404-4-4000000000−22−2222220000000000022−22000000000000000000000
χ554-44-4-440-40-44404i−4i00−4i4i0000000000000000000000000000000000000000
χ564-44-4-440-40-4440−4i4i004i−4i0000000000000000000000000000000000000000
χ5788-8-800-80800000000000000000000000000000000000000000000000000
χ588-8-88000000000000000004-4-440000000000000000000000000000000000
χ598-8-8800000000000000000-444-40000000000000000000000000000000000

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