Finite Group Databasebeta

← Group #489015

Character table — Group #489015

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888822444444816161616161616162444448888881616161622
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ91111-1-1-1-1-1-1111-111-1-11111-11-111-1-1-11111-1-1-1-11-111-1-11-111-1-111-1-11-1
χ101111-1-1-1-1-1-1111-111-1-11111-11-111-1-1-1-1-1-1-111111-111-1-11-1-1-111-1-111-11
χ111111-1-1-1-1-1-1111-111-1-11111-11-1-1-111-11111-1-1-1-1-11-1-1111-1-1-11111-1-1-11
χ121111-1-1-1-1-1-1111-111-1-11111-11-1-1-111-1-1-1-1-11111-11-1-1111-111-1-1-1-1111-1
χ131111-1-1-1-1-1-1111-111-1-1111-11-1111-1-1-11111-1-1-1-11-1-1-111-1111-1-1-1-111-11
χ141111-1-1-1-1-1-1111-111-1-1111-11-1111-1-1-1-1-1-1-111111-1-1-111-11-1-11111-1-11-1
χ151111-1-1-1-1-1-1111-111-1-1111-11-11-1-111-11111-1-1-1-1-1111-1-1-11-1-111-1-1111-1
χ161111-1-1-1-1-1-1111-111-1-1111-11-11-1-111-1-1-1-1-11111-1111-1-1-1111-1-111-1-1-11
χ17222222222222222-2-2-2-2-2-222220000-200000000000000-2-20000000000
χ18222222222222222-2-2-2-2-2-2-2-2-2-20000-200000000000000220000000000
χ1922222222-2-222-2-2-2222-2-2200002222-200000000-2-20000000000000000
χ2022222222-2-222-2-2-2222-2-220000-2-2-2-2-200000000220000000000000000
χ2122222222-2-222-2-2-2-2-2-222-200000000200000000002-22-2000000000000
χ2222222222-2-222-2-2-2-2-2-222-20000000020000000000-22-22000000000000
χ23222222-2-222-2-2-2-2200000022-2-20000022−2−222−2−20000000000002−22−200
χ24222222-2-222-2-2-2-2200000022-2-200000−2−222−2−222000000000000−22−2200
χ25222222-2-222-2-2-2-22000000-2-2220000022−2−222−2−2000000000000−22−2200
χ26222222-2-222-2-2-2-22000000-2-22200000−2−222−2−2220000000000002−22−200
χ272222-2-222-2-2-2-2-2220000002-2-220000022−2−2−2−2220000000000002−2−2200
χ282222-2-222-2-2-2-2-2220000002-2-2200000−2−22222−2−2000000000000−222−200
χ292222-2-222-2-2-2-2-222000000-222-20000022−2−2−2−222000000000000−222−200
χ302222-2-222-2-2-2-2-222000000-222-200000−2−22222−2−20000000000002−2−2200
χ312222-2-2-2-22222-22-22-2-2-2-22000022-2-2200000000-220000000000000000
χ322222-2-2-2-22222-22-22-2-2-2-220000-2-2222000000002-20000000000000000
χ332222-2-2-2-22222-22-2-22222-200000000-200000000002-2-22000000000000
χ342222-2-2-2-22222-22-2-22222-200000000-20000000000-222-2000000000000
χ352222-2-2-2-2-2-2222-22-222-2-2-22-22-20000200000000000000-220000000000
χ362222-2-2-2-2-2-2222-22-222-2-2-2-22-2200002000000000000002-20000000000
χ3722-2-22-22-200-2200022-200-200002i−2i2i−2i0i2−i2i2−i2i2−i2i2−i2000000002−22−2000000
χ3822-2-22-22-200-2200022-200-200002i−2i2i−2i0−i2i2−i2i2−i2i2−i2i200000000−22−22000000
χ3922-2-22-22-200-2200022-200-20000−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i200000000−22−22000000
χ4022-2-22-22-200-2200022-200-20000−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i2000000002−22−2000000
χ4122-2-2-22-2200-220002-2200-200002i−2i−2i2i0i2−i2i2−i2−i2i2−i2i2000000002−2−22000000
χ4222-2-2-22-2200-220002-2200-200002i−2i−2i2i0−i2i2−i2i2i2−i2i2−i200000000−222−2000000
χ4322-2-2-22-2200-220002-2200-20000−2i2i2i−2i0i2−i2i2−i2−i2i2−i2i200000000−222−2000000
χ4422-2-2-22-2200-220002-2200-20000−2i2i2i−2i0−i2i2−i2i2i2−i2i2−i2000000002−2−22000000
χ45444444-4-4-4-4-4-444-400000000000000000000000000000000000000000
χ464444-4-44444-4-44-4-400000000000000000000000000000000000000000
χ4744-4-44-44-400-44000-4-4400400000000000000000000000000000000000
χ4844-4-44-4-44004-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4944-4-44-4-44004-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ5044-4-4-444-4004-40000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ5144-4-4-444-4004-4000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ5244-4-4-44-4400-44000-44-400400000000000000000000000000000000000
χ538-88-80000000000000042−42000000000000000000000000000000000000
χ548-88-800000000000000−4242000000000000000000000000000000000000
χ558-8-8800008-80000000000000000000000000000000000000000000000
χ568-8-880000-880000000000000000000000000000000000000000000000

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