Finite Group Databasebeta

← Group #512192

Character table — Group #512192

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222224444444444444444444488888888888888888888161616161616161632323232
order1222224444444444448888888888882244444444888888888816161616161616162244
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ611111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11-11
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-11-1
χ91111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ121111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-222222222-2-200000000-2-2-2-200000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-22222-2-200000000-2-22200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000222200000000000000000000
χ212222-2-222-2-2000000002-200002i2i−2i−2i2-2000022-2-22i−2i002i2i−2i−2i0000000000000000
χ222222-2-222-2-2000000002-200002i2i−2i−2i2-20000-2-2222i−2i00−2i−2i2i2i0000000000000000
χ232222-2-222-2-2000000002-20000−2i−2i2i2i2-2000022-2-2−2i2i00−2i−2i2i2i0000000000000000
χ242222-2-222-2-2000000002-20000−2i−2i2i2i2-20000-2-222−2i2i002i2i−2i−2i0000000000000000
χ252222-2-222-2-200000000-2200002i2i−2i−2i-2222-2-20000−2i2i0000002i2i−2i−2i000000000000
χ262222-2-222-2-200000000-2200002i2i−2i−2i-22-2-2220000−2i2i000000−2i−2i2i2i000000000000
χ272222-2-222-2-200000000-220000−2i−2i2i2i-2222-2-200002i−2i000000−2i−2i2i2i000000000000
χ282222-2-222-2-200000000-220000−2i−2i2i2i-22-2-22200002i−2i0000002i2i−2i−2i000000000000
χ2922-2-22-22-22-22i2i−2i−2i00000022-2-22i−2i2i−2i00000000000000000000002−2i2−i22−2i2−i20000
χ3022-2-22-22-22-22i2i−2i−2i00000022-2-22i−2i2i−2i0000000000000000000000−22−i2i2−22−i2i20000
χ3122-2-22-22-22-22i2i−2i−2i000000-2-222−2i2i−2i2i00000000000000000000002−2i2−i2−22−i2i20000
χ3222-2-22-22-22-22i2i−2i−2i000000-2-222−2i2i−2i2i0000000000000000000000−22−i2i22−2i2−i20000
χ3322-2-22-22-22-2−2i−2i2i2i00000022-2-2−2i2i−2i2i00000000000000000000002−2−i2i22−2−i2i20000
χ3422-2-22-22-22-2−2i−2i2i2i00000022-2-2−2i2i−2i2i0000000000000000000000−22i2−i2−22i2−i20000
χ3522-2-22-22-22-2−2i−2i2i2i000000-2-2222i−2i2i−2i00000000000000000000002−2−i2i2−22i2−i20000
χ3622-2-22-22-22-2−2i−2i2i2i000000-2-2222i−2i2i−2i0000000000000000000000−22i2−i22−2−i2i20000
χ3722-2-22-2-22-222i−2i2i−2i00002-200000000-222-22-22i−2i2i−2i002i−2i00000000000000000000
χ3822-2-22-2-22-222i−2i2i−2i00002-200000000-22-22-22−2i2i−2i2i002i−2i00000000000000000000
χ3922-2-22-2-22-222i−2i2i−2i0000-22000000002-20000000000−2i2i2i−2i2i−2i2-22-2000000000000
χ4022-2-22-2-22-222i−2i2i−2i0000-22000000002-20000000000−2i2i−2i2i−2i2i-22-22000000000000
χ4122-2-22-2-22-22−2i2i−2i2i00002-200000000-222-22-2−2i2i−2i2i00−2i2i00000000000000000000
χ4222-2-22-2-22-22−2i2i−2i2i00002-200000000-22-22-222i−2i2i−2i00−2i2i00000000000000000000
χ4322-2-22-2-22-22−2i2i−2i2i0000-22000000002-200000000002i−2i2i−2i2i−2i-22-22000000000000
χ4422-2-22-2-22-22−2i2i−2i2i0000-22000000002-200000000002i−2i−2i2i−2i2i2-22-2000000000000
χ4522-2-2-22-222-2000022-2-2222-22-20000-2-200002i−2i−2i2i000000002i−2i−2i2i000000000000
χ4622-2-2-22-222-2000022-2-2222-22-20000-2-20000−2i2i2i−2i00000000−2i2i2i−2i000000000000
χ4722-2-2-22-222-2000022-2-2-2-2-22-220000222-2-22000000002-2-220000000000000000
χ4822-2-2-22-222-2000022-2-2-2-2-22-22000022-222-200000000-222-20000000000000000
χ4922-2-2-22-222-20000-2-22222-22-220000-2-200002i−2i−2i2i00000000−2i2i2i−2i000000000000
χ5022-2-2-22-222-20000-2-22222-22-220000-2-20000−2i2i2i−2i000000002i−2i−2i2i000000000000
χ5122-2-2-22-222-20000-2-222-2-22-22-20000222-2-2200000000-222-20000000000000000
χ5222-2-2-22-222-20000-2-222-2-22-22-2000022-222-2000000002-2-220000000000000000
χ53444444-4-4-4-44-4-44000000000000000000000000000000000000000000000000
χ54444444-4-4-4-4-444-4000000000000000000000000000000000000000000000000
χ554444-4-4-4-44400000000004-4-4400000000000000000000000000000000000000
χ564444-4-4-4-4440000000000-444-400000000000000000000000000000000000000
χ5744-4-4-444-4-44000000000000004-4-440000000000000000000000000000000000
χ5844-4-4-444-4-4400000000000000-444-40000000000000000000000000000000000
χ598-88-800000000004-44-400000000000000000000000000000000000000000000
χ608-88-80000000000-44-4400000000000000000000000000000000000000000000
χ618-8-8800000000004-4-4400000000000000000000000000000000000000000000
χ628-8-880000000000-444-400000000000000000000000000000000000000000000

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