Finite Group Databasebeta

← Group #144193

Character table — Group #144193

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111111122224444444444448888888888888888888888883232323232323232
order122244442244444488888888888888881616161616161616161616161616161624444488
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ92222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ102222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ11222222222222-2-2-2-222-2-222-2-200000000000000002222-2-2-2-200000000
χ12222222222222-2-2-2-222-2-222-2-20000000000000000-2-2-2-2222200000000
χ13222222222222-2-2-2-2-2-222-2-222000000002222-2-2-2-20000000000000000
χ14222222222222-2-2-2-2-2-222-2-22200000000-2-2-2-222220000000000000000
χ1522222222-2-2-2-22-22-200000000000022-2-222−2−222−2−222−2−222−2−200000000
χ1622222222-2-2-2-22-22-200000000000022-2-2−2−222−2−222−2−222−2−22200000000
χ1722222222-2-2-2-22-22-2000000000000-2-22222−2−222−2−2−2−222−2−22200000000
χ1822222222-2-2-2-22-22-2000000000000-2-222−2−222−2−22222−2−222−2−200000000
χ1922222222-2-2-2-2-22-220000000022-2-2000022−2−2−2−22222−2−2−2−22200000000
χ2022222222-2-2-2-2-22-220000000022-2-20000−2−22222−2−2−2−22222−2−200000000
χ2122222222-2-2-2-2-22-2200000000-2-222000022−2−2−2−222−2−22222−2−200000000
χ2222222222-2-2-2-2-22-2200000000-2-2220000−2−22222−2−222−2−2−2−22200000000
χ232222-2-2-2-2-2-22222-2-22222-2-2-2-20000000000000000000000000000002i−2i
χ242222-2-2-2-2-2-22222-2-22222-2-2-2-2000000000000000000000000000000−2i2i
χ252222-2-2-2-2-2-22222-2-2-2-2-2-2222200000000000000000000000000002-200
χ262222-2-2-2-2-2-22222-2-2-2-2-2-222220000000000000000000000000000-2200
χ272222-2-2-2-2-2-222-2-22222-2-2-2-2220000000000000000000000002-2000000
χ282222-2-2-2-2-2-222-2-22222-2-2-2-222000000000000000000000000-22000000
χ292222-2-2-2-2-2-222-2-222-2-22222-2-2000000000000000000000000002-20000
χ302222-2-2-2-2-2-222-2-222-2-22222-2-200000000000000000000000000-220000
χ3122-2-2-2-2222-22-20000002-2002-2i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i2−22−22−22−200000000
χ3222-2-2-2-2222-22-20000002-2002-2i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i−22−22−22−2200000000
χ3322-2-2-2-2222-22-20000002-2002-2−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i−22−22−22−2200000000
χ3422-2-2-2-2222-22-20000002-2002-2−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i2−22−22−22−200000000
χ3522-2-2-2-2222-22-2000000-2200-22i2−i2i2−i2−i2i2−i2i22i−2i2i−2i00002−22−2−22−2200000000
χ3622-2-2-2-2222-22-2000000-2200-22i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000−22−222−22−200000000
χ3722-2-2-2-2222-22-2000000-2200-22−i2i2−i2i2i2−i2i2−i22i−2i2i−2i0000−22−222−22−200000000
χ3822-2-2-2-2222-22-2000000-2200-22−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i00002−22−2−22−2200000000
χ3922-2-2-2-222-22-2200002-2002-200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200002-2-2200000000
χ4022-2-2-2-222-22-2200002-2002-200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000-222-200000000
χ4122-2-2-2-222-22-2200002-2002-200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000-222-200000000
χ4222-2-2-2-222-22-2200002-2002-200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200002-2-2200000000
χ4322-2-2-2-222-22-220000-2200-2200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22-2-22000000000000
χ4422-2-2-2-222-22-220000-2200-2200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2-222-2000000000000
χ4522-2-2-2-222-22-220000-2200-2200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2-222-2000000000000
χ4622-2-2-2-222-22-220000-2200-2200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22-2-22000000000000
χ474444-4-4-4-444-4-44-4-440000000000000000000000000000000000000000
χ484444-4-4-4-444-4-4-444-40000000000000000000000000000000000000000
χ4944-4-444-4-44-4-4400004-400-440000000000000000000000000000000000
χ5044-4-444-4-44-4-440000-44004-40000000000000000000000000000000000
χ5144-4-444-4-4-444-40000004-400-4400000000000000000000000000000000
χ5244-4-444-4-4-444-4000000-44004-400000000000000000000000000000000
χ538-88-88i−8i8i−8i000000000000000000000000000000000000000000000000
χ548-88-8−8i8i−8i8i000000000000000000000000000000000000000000000000
χ558-8-888i−8i−8i8i000000000000000000000000000000000000000000000000
χ568-8-88−8i8i8i−8i000000000000000000000000000000000000000000000000

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