Finite Group Databasebeta

← Group #258601

Character table — Group #258601

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
χ31111111111111111111111111111-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ5111111111111111111111-1-1-1-111111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111
χ7111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ91111111111111111-1-1-1-111111-1-111111-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-111111-1-11-1-111-1-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-11111-1-1
χ121111111111111111-1-1-1-111111-1-11-1-111-1-1-1-1-111-1-1-1-111111-1-1-11111-1-111-1-1-1-111
χ131111111111111111-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1-11111-1-1-1-1-11-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-11111111111-1-1-1-11-11111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2222-2-2-2000022-22200-200002200000000-2-20000000000000000
χ1822222222222-2-2-2-2222-2-2-2000022-2-2-200-20000-2-200000000220000000000000000
χ1922222222222-2-2-2-22-2-222-20000-2-2-2220020000-2-2000000002-20000000000000000
χ2022222222222-2-2-2-22-2-222-20000-2-2-2-2-200200002200000000-220000000000000000
χ2122222222-2-2-22222-22222-22222-2-2-200-2-2-222-2-20000000000000000000000000000
χ2222222222-2-2-22222-22222-2-2-2-2-2-2-2-20022-2-2-2220000000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2222222-200-2-22-2-2220000000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-2-222-20022222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-220000-2-220000200000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-220000-2-22000020000000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222200002220000-200000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222200002220000-20000000000000000-22002-20000000000
χ2922-222-2-2-2000-2-22202-22-202i2i−2i−2i000000002i−2i000022−2−222−2−200000000000000i2−i2i2−i2
χ3022-222-2-2-2000-2-22202-22-202i2i−2i−2i000000002i−2i0000−2−222−2−22200000000000000−i2i2−i2i2
χ3122-222-2-2-2000-2-22202-22-20−2i−2i2i2i00000000−2i2i000022−2−222−2−200000000000000−i2i2−i2i2
χ3222-222-2-2-2000-2-22202-22-20−2i−2i2i2i00000000−2i2i0000−2−222−2−22200000000000000i2−i2i2−i2
χ3322-222-2-2-2000-2-2220-22-2202i2i−2i−2i00000000−2i2i000022−2−2−2−22200000000000000i2−i2−i2i2
χ3422-222-2-2-2000-2-2220-22-2202i2i−2i−2i00000000−2i2i0000−2−22222−2−200000000000000−i2i2i2−i2
χ3522-222-2-2-2000-2-2220-22-220−2i−2i2i2i000000002i−2i000022−2−2−2−22200000000000000−i2i2i2−i2
χ3622-222-2-2-2000-2-2220-22-220−2i−2i2i2i000000002i−2i0000−2−22222−2−200000000000000i2−i2−i2i2
χ372-22-222-2-222-22-22-2-20000-22i−2i2i−2i002002i−2i000000000000000000000002i−2i002-20000
χ382-22-222-2-222-22-22-2-20000-22i−2i2i−2i002002i−2i00000000000000000000000−2i2i00-220000
χ392-22-222-2-222-22-22-2-20000-2−2i2i−2i2i00200−2i2i000000000000000000000002i−2i00-220000
χ402-22-222-2-222-22-22-2-20000-2−2i2i−2i2i00200−2i2i00000000000000000000000−2i2i002-20000
χ412-22-222-2-2-2-222-22-22000022i−2i2i−2i00-200−2i2i00000000000000000002-200002i−2i000000
χ422-22-222-2-2-2-222-22-22000022i−2i2i−2i00-200−2i2i0000000000000000000-220000−2i2i000000
χ432-22-222-2-2-2-222-22-2200002−2i2i−2i2i00-2002i−2i00000000000000000002-20000−2i2i000000
χ442-22-222-2-2-2-222-22-2200002−2i2i−2i2i00-2002i−2i0000000000000000000-2200002i−2i000000
χ45444-4-4-4-444-440000-40000000000000000000000022−2222−220000000000000000000000
χ46444-4-4-4-444-440000-400000000000000000000000−2222−22220000000000000000000000
χ47444-4-4-4-44-44-4000040000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ48444-4-4-4-44-44-400004000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ4944-444-4-4-400044-4-404-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-400044-4-40-444-4000000000000000000000000000000000000000000000
χ5144-4-4-444-4000000000000000004i−4i0000000000002-2-222i−2i−2i2i000000000000000000
χ5244-4-4-444-4000000000000000004i−4i000000000000-222-2−2i2i2i−2i000000000000000000
χ5344-4-4-444-400000000000000000−4i4i0000000000002-2-22−2i2i2i−2i000000000000000000
χ5444-4-4-444-400000000000000000−4i4i000000000000-222-22i−2i−2i2i000000000000000000
χ554-444-4-44-44-4-4000040000000000000000000004i−4i00000000000000000000000000
χ564-444-4-44-44-4-400004000000000000000000000−4i4i00000000000000000000000000
χ574-444-4-44-4-4440000-40000000000004-400000000000000000000000000000000000
χ584-444-4-44-4-4440000-4000000000000-4400000000000000000000000000000000000
χ594-44-444-4-444-4-44-44-400004000000-40000000000000000000000000000000000000
χ604-44-444-4-4-4-44-44-4440000-400000040000000000000000000000000000000000000
χ614-4-4-44-4440004-4-44000000000000000000004-40000000000000000000000000000
χ624-4-4-44-4440004-4-4400000000000000000000-440000000000000000000000000000
χ634-4-4-44-444000-444-40000004-4-440000000000000000000000000000000000000000
χ644-4-4-44-444000-444-4000000-444-40000000000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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