Finite Group Databasebeta

← Group #258562

Character table — Group #258562

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442244444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111-1-1-1-1111-1-111-1-11-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1111-1-111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ91111111111111111-1-11-1-11111-1-11-1-11111-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-111-1-1
χ101111111111111111-1-11-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-11-1-11111-1-11-1-1-1-111-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-11111-1-1
χ121111111111111111-1-11-1-11111-1-11-1-1-1-111-1-1-111-1-1-1-11111-1111-1-111-1-111-1-1-1-111
χ131111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-111111-111-1-111-1-1-1-11111-1-1
χ151111111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-111-1-111
χ161111111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-111-1-1
χ172222222222-2-2-222-222-2-2-2222222-2-2-200-2-2-2220000000000000000000000000000
χ182222222222-2-2-222-222-2-2-2-2-2-2-222-2220022-2-2-20000000000000000000000000000
χ192222222222-2-2-222-2-2-2-2222222-2-2-22200-2-22-2-20000000000000000000000000000
χ202222222222-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-200222220000000000000000000000000000
χ2122222222-2-2222-2-2222-2-2-20000-2-2-2002200200-2-200000000-220000000000000000
χ2222222222-2-2222-2-2222-2-2-20000-2-2-200-2-20020022000000002-20000000000000000
χ2322222222-2-2222-2-22-2-2-222000022-2002200-2002200000000-2-20000000000000000
χ2422222222-2-2222-2-22-2-2-222000022-200-2-200-200-2-200000000220000000000000000
χ2522222222-2-2-2-2-2-2-2-2222220000-2-22000000-2000000000000002-22-2000000000000
χ2622222222-2-2-2-2-2-2-2-2222220000-2-22000000-200000000000000-22-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22-2-200002220000002000000000000002-2-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22-2-20000222000000200000000000000-222-2000000000000
χ292-222-2-22-22-20002-202i−2i00022-2-22i−2i000000002i−2i00i2i2−i2−i222−2−200000000000000i2−i22−2
χ302-222-2-22-22-20002-202i−2i00022-2-22i−2i000000002i−2i00−i2−i2i2i2−2−22200000000000000−i2i2−22
χ312-222-2-22-22-20002-202i−2i000-2-2222i−2i00000000−2i2i00i2i2−i2−i222−2−200000000000000−i2i2−22
χ322-222-2-22-22-20002-202i−2i000-2-2222i−2i00000000−2i2i00−i2−i2i2i2−2−22200000000000000i2−i22−2
χ332-222-2-22-22-20002-20−2i2i00022-2-2−2i2i00000000−2i2i00i2i2−i2−i2−2−22200000000000000i2−i2−22
χ342-222-2-22-22-20002-20−2i2i00022-2-2−2i2i00000000−2i2i00−i2−i2i2i222−2−200000000000000−i2i22−2
χ352-222-2-22-22-20002-20−2i2i000-2-222−2i2i000000002i−2i00i2i2−i2−i2−2−22200000000000000−i2i22−2
χ362-222-2-22-22-20002-20−2i2i000-2-222−2i2i000000002i−2i00−i2−i2i2i222−2−200000000000000i2−i2−22
χ372-22-22-2-22-2222-22-2-200-2002i−2i2i−2i00200002i−2i0000000000000000000002i−2i002-20000
χ382-22-22-2-22-2222-22-2-200-2002i−2i2i−2i00200002i−2i000000000000000000000−2i2i00-220000
χ392-22-22-2-22-2222-22-2-200-200−2i2i−2i2i0020000−2i2i0000000000000000000002i−2i00-220000
χ402-22-22-2-22-2222-22-2-200-200−2i2i−2i2i0020000−2i2i000000000000000000000−2i2i002-20000
χ412-22-22-2-22-22-2-222-22002002i−2i2i−2i00-20000−2i2i00000000000000000002-2002i−2i000000
χ422-22-22-2-22-22-2-222-22002002i−2i2i−2i00-20000−2i2i0000000000000000000-2200−2i2i000000
χ432-22-22-2-22-22-2-222-2200200−2i2i−2i2i00-200002i−2i00000000000000000002-200−2i2i000000
χ442-22-22-2-22-22-2-222-2200200−2i2i−2i2i00-200002i−2i0000000000000000000-22002i−2i000000
χ45444-4-44-4-444000-4-400000000000004-400000000000000000000000000000000000
χ46444-4-44-4-444000-4-40000000000000-4400000000000000000000000000000000000
χ47444-4-44-4-4-4-4000440000004i−4i−4i4i0000000000000000000000000000000000000000
χ48444-4-44-4-4-4-400044000000−4i4i4i−4i0000000000000000000000000000000000000000
χ4944-444-4-4-4000000000004-40000000000000000002-22-22-22-2000000000000000000
χ5044-444-4-4-4000000000004-4000000000000000000-22-22-22-22000000000000000000
χ5144-444-4-4-400000000000-440000000000000000002-22-2-22-22000000000000000000
χ5244-444-4-4-400000000000-44000000000000000000-22-222-22-2000000000000000000
χ5344-4-4-4-444004-4400-4000000000000004i−4i000000000000000000000000000000000
χ5444-4-4-4-444004-4400-400000000000000−4i4i000000000000000000000000000000000
χ5544-4-4-4-44400-44-40040000000000000000000004-400000000000000000000000000
χ5644-4-4-4-44400-44-4004000000000000000000000-4400000000000000000000000000
χ574-444-4-44-4-44000-4404i−4i0000000−4i4i00000000000000000000000000000000000000
χ584-444-4-44-4-44000-440−4i4i00000004i−4i00000000000000000000000000000000000000
χ594-44-44-4-444-444-4-44-400400000000-40000000000000000000000000000000000000
χ604-44-44-4-444-4-4-44-44400-40000000040000000000000000000000000000000000000
χ614-4-44-44-44004-4-400400000000000000000000000000022−22−2222000000000000000000
χ624-4-44-44-44004-4-4004000000000000000000000000000−222222−22000000000000000000
χ634-4-44-44-4400-44400-4000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ644-4-44-44-4400-44400-400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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