Finite Group Databasebeta

← Group #257935

Character table — Group #257935

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444442244444444444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111
χ51111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-111-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-111-1-1
χ101111111111111111-1-1-1-1-1-111-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111111-1-111-1-111-1-1
χ131111111111111111-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-111111111-1-1-1-11-1-1-111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-1-11111-1-1-1-111
χ172222222222-2-222-2-222-2-2-2-2-2-22002200-2-200000000000000000-220000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2200-2-20022000000000000000002-20000000000000
χ192222222222-2-222-2-2-2-22222-2-2-2002200-2-2000000000000000002-20000000000000
χ202222222222-2-222-2-2-2-22222-2-2-200-2-2002200000000000000000-220000000000000
χ2122222222-2-222-2-22222-2-222-2-2-2220022000000000000000000-200-2000000000000
χ2222222222-2-222-2-22222-2-222-2-2-2-2-200-2-20000000000000000002002000000000000
χ2322222222-2-222-2-222-2-222-2-2-2-222200-2-2000000000000000000200-2000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-22-2-20022000000000000000000-2002000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222-200000000000000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-22222-2-222-20000000000000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222220000000000000000000000000000-222-200000000
χ2922-22-2-22-2-2-22-2222-20000002-20002i−2i002i−2i000022-2-20000000000000000002i−2i0000
χ3022-22-2-22-2-2-22-2222-20000002-20002i−2i002i−2i0000-2-222000000000000000000−2i2i0000
χ3122-22-2-22-2-2-22-2222-20000002-2000−2i2i00−2i2i000022-2-2000000000000000000−2i2i0000
χ3222-22-2-22-2-2-22-2222-20000002-2000−2i2i00−2i2i0000-2-2220000000000000000002i−2i0000
χ3322-22-2-22-2-2-2-2222-22000000-220002i−2i00−2i2i22-2-2000000000000000000002i−2i000000
χ3422-22-2-22-2-2-2-2222-22000000-220002i−2i00−2i2i-2-22200000000000000000000−2i2i000000
χ3522-22-2-22-2-2-2-2222-22000000-22000−2i2i002i−2i22-2-200000000000000000000−2i2i000000
χ3622-22-2-22-2-2-2-2222-22000000-22000−2i2i002i−2i-2-222000000000000000000002i−2i000000
χ372-22-2-2-222002200-2-22-2002-20002i−2i002i−2i00i2−i2i2−i2i2−i2i2−i222−2−222−2−20000000000000000
χ382-22-2-2-222002200-2-22-2002-20002i−2i002i−2i00−i2i2−i2i2−i2i2−i2i2−2−222−2−2220000000000000000
χ392-22-2-2-222002200-2-22-2002-2000−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i2−2−222−2−2220000000000000000
χ402-22-2-2-222002200-2-22-2002-2000−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i222−2−222−2−20000000000000000
χ412-22-2-2-222002200-2-2-2200-220002i−2i00−2i2i00i2−i2i2−i2−i2i2−i2i222−2−2−2−2220000000000000000
χ422-22-2-2-222002200-2-2-2200-220002i−2i00−2i2i00−i2i2−i2i2i2−i2i2−i2−2−22222−2−20000000000000000
χ432-22-2-2-222002200-2-2-2200-22000−2i2i002i−2i00i2−i2i2−i2−i2i2−i2i2−2−22222−2−20000000000000000
χ442-22-2-2-222002200-2-2-2200-22000−2i2i002i−2i00−i2i2−i2i2i2−i2i2−i222−2−2−2−2220000000000000000
χ45444-4-44-4-44-4004-4000000000000000000000000000000022−2222−220000000000000000
χ46444-4-44-4-44-4004-40000000000000000000000000000000−2222−22220000000000000000
χ47444-4-44-4-4-4400-4400000000000000000000000000022−2222−2200000000000000000000
χ48444-4-44-4-4-4400-44000000000000000000000000000−2222−222200000000000000000000
χ4944-44-4-44-4444-4-4-44-4000000-4400000000000000000000000000000000000000000
χ5044-44-4-44-444-44-4-4-440000004-400000000000000000000000000000000000000000
χ5144-4-44-4-444-400-44000000000000000000000000000000000000000000000002i2−2i200
χ5244-4-44-4-444-400-4400000000000000000000000000000000000000000000000−2i22i200
χ5344-4-44-4-44-44004-400000000000000000000000000000000000000000000000002i2−2i2
χ5444-4-44-4-44-44004-40000000000000000000000000000000000000000000000000−2i22i2
χ554-4444-4-4-400000000004-40000000000000000000002-2-222-2-220000000000000000
χ564-4444-4-4-400000000004-4000000000000000000000-222-2-222-20000000000000000
χ574-4444-4-4-40000000000-440000000000000000000002-2-22-222-20000000000000000
χ584-4444-4-4-40000000000-44000000000000000000000-222-22-2-220000000000000000
χ594-44-4-4-44400-4-400444-400-440000000000000000000000000000000000000000000
χ604-44-4-4-44400-4-40044-44004-40000000000000000000000000000000000000000000
χ614-4-4-4444-4004-400-440000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ624-4-4-4444-4004-400-44000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ634-4-4-4444-400-44004-4000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ644-4-4-4444-400-44004-400000000000000000−2i22i22i2−2i20000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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