Finite Group Databasebeta

← Group #258590

Character table — Group #258590

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442244444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ5111111111111111111111-1-1-1-1111-1-11-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111
χ7111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ91111111111111111-1-11-1-11111-1-11-1-1-1-1-111-1-1111111-1-1-1-1-11-1-11111-1-111-1-111-1-1
χ101111111111111111-1-11-1-11111-1-11-1-1-1-1-111-1-111-1-1-1-11111-11-1-1-1-11111-1-111-1-111
χ111111111111111111-1-11-1-11111-1-11-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-11111-1-1
χ121111111111111111-1-11-1-11111-1-11-1-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-1-111
χ131111111111111111-1-11-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-11-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-11-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-111
χ161111111111111111-1-11-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-111111-1-1-1-1-1111111-1-111-1-1
χ1722222222222-2-2-2-2222-2-2-20000-2-2-20020022-2-200000000002-20000000000000000
χ1822222222222-2-2-2-2222-2-2-20000-2-2-200200-2-2220000000000-220000000000000000
χ1922222222222-2-2-2-22-2-2-222000022-200-20022220000000000-2-20000000000000000
χ2022222222222-2-2-2-22-2-2-222000022-200-200-2-2-2-20000000000220000000000000000
χ2122222222-2-2-22222-222-2-2-2222222-2-2-2-2220000-2-200000000000000000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2-222-222-2-2-200002200000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2222222-2-2-2222-2-20000-2-200000000000000000000000000
χ2422222222-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-222200002200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222220000-2-2200-20000000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222220000-2-2200-2000000000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22-2-200002220020000000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22-2-20000222002000000000000000000-22002-20000000000
χ292-22-22-22-20002-22-202i−2i00022-2-22i−2i00002i−2i000000i2i2−i2−i222−2−200000000000000i2−i22−2
χ302-22-22-22-20002-22-202i−2i00022-2-22i−2i00002i−2i000000−i2−i2i2i2−2−22200000000000000−i2i2−22
χ312-22-22-22-20002-22-202i−2i000-2-2222i−2i0000−2i2i000000i2i2−i2−i222−2−200000000000000−i2i2−22
χ322-22-22-22-20002-22-202i−2i000-2-2222i−2i0000−2i2i000000−i2−i2i2i2−2−22200000000000000i2−i22−2
χ332-22-22-22-20002-22-20−2i2i00022-2-2−2i2i0000−2i2i000000i2i2−i2−i2−2−22200000000000000i2−i2−22
χ342-22-22-22-20002-22-20−2i2i00022-2-2−2i2i0000−2i2i000000−i2−i2i2i222−2−200000000000000−i2i22−2
χ352-22-22-22-20002-22-20−2i2i000-2-222−2i2i00002i−2i000000i2i2−i2−i2−2−22200000000000000−i2i22−2
χ362-22-22-22-20002-22-20−2i2i000-2-222−2i2i00002i−2i000000−i2−i2i2i222−2−200000000000000i2−i2−22
χ372-2-22-222-222-22-2-22-200-2002i−2i2i−2i0020000000002i−2i00000000000000002i−2i002-20000
χ382-2-22-222-222-22-2-22-200-2002i−2i2i−2i0020000000002i−2i0000000000000000−2i2i00-220000
χ392-2-22-222-222-22-2-22-200-200−2i2i−2i2i002000000000−2i2i00000000000000002i−2i00-220000
χ402-2-22-222-222-22-2-22-200-200−2i2i−2i2i002000000000−2i2i0000000000000000−2i2i002-20000
χ412-2-22-222-2-2-222-2-222002002i−2i2i−2i00-2000000000−2i2i0000000000002-200002i−2i000000
χ422-2-22-222-2-2-222-2-222002002i−2i2i−2i00-2000000000−2i2i000000000000-220000−2i2i000000
χ432-2-22-222-2-2-222-2-22200200−2i2i−2i2i00-20000000002i−2i0000000000002-20000−2i2i000000
χ442-2-22-222-2-2-222-2-22200200−2i2i−2i2i00-20000000002i−2i000000000000-2200002i−2i000000
χ454444-4-4-4-4000000000004-40000000000000000002-22-22-22-2000000000000000000
χ464444-4-4-4-4000000000004-4000000000000000000-22-22-22-22000000000000000000
χ474444-4-4-4-400000000000-440000000000000000002-22-2-22-22000000000000000000
χ484444-4-4-4-400000000000-44000000000000000000-22-222-22-2000000000000000000
χ4944-4-444-4-44-440000-4000000000000000004-4000000000000000000000000000000
χ5044-4-444-4-44-440000-400000000000000000-44000000000000000000000000000000
χ5144-4-444-4-4-44-40000400000000000000000004i−4i0000000000000000000000000000
χ5244-4-444-4-4-44-4000040000000000000000000−4i4i0000000000000000000000000000
χ5344-4-4-4-44400044-4-40000004i−4i−4i4i0000000000000000000000000000000000000000
χ5444-4-4-4-44400044-4-4000000−4i4i4i−4i0000000000000000000000000000000000000000
χ5544-4-4-4-444000-4-44400000000000004-400000000000000000000000000000000000
χ5644-4-4-4-444000-4-4440000000000000-4400000000000000000000000000000000000
χ574-44-44-44-4000-44-4404i−4i0000000−4i4i00000000000000000000000000000000000000
χ584-44-44-44-4000-44-440−4i4i00000004i−4i00000000000000000000000000000000000000
χ594-44-4-44-444-4-40000400000000000000000000000000022−22−2222000000000000000000
χ604-44-4-44-444-4-400004000000000000000000000000000−222222−22000000000000000000
χ614-44-4-44-44-4440000-4000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ624-44-4-44-44-4440000-400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ634-4-44-444-444-4-444-4-400400000000-40000000000000000000000000000000000000
χ644-4-44-444-4-4-44-444-4400-40000000040000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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