Finite Group Databasebeta

← Group #489288

Character table — Group #489288

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12224444444488882224444888844444488888161616161616161644444488881616161624
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111-1-1-1-1111111-111-1111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111111111-111-111-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ91111-1-1-1-111111111-111-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-11-1
χ101111-1-1-1-111111111-111-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ111111-1-1-1-111111111-111-1-1-11-1-1111-1-1-111-111-1-11111-1-1-1-11-1-1-111-1-11111-1-1-11
χ121111-1-1-1-111111111-111-1-1-11-1-1111-1-1-111-111-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ131111-1-1-1-111111111-1-1-111-11-1-111-1111-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-111-11
χ141111-1-1-1-111111111-1-1-111-11-1-111-1111-1-1-1-1-111-1-1-1-11111-1-1-1111-1-11111-1-11-1
χ151111-1-1-1-111111111-1-1-111-11-1-111-1-1-1111-1-1-1111111-1-1-1-1111-1-1-1-1-111-1-1111-1
χ161111-1-1-1-111111111-1-1-111-11-1-111-1-1-1111-1-1-111-1-1-1-11111111-1-1-111-1-111-1-1-11
χ17222222222222-2-2-2-22222222-2-2-2-2200200-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-22-2-2-2-222-2-2-2-2-200-200-22222000000000000000000000000
χ1922222222-2-2222222-20000-2-222-2-2022022-2000000000000-200-2000000000000
χ2022222222-2-2222222-20000-2-222-2-20-2-20-2-2-20000000000002002000000000000
χ2122222222-2-222-2-2-2-2-20000-2-2-2-222000000200000000000002-202-20000000000
χ2222222222-2-222-2-2-2-2-20000-2-2-2-22200000020000000000000-220-220000000000
χ23222222-2-222-2-2000022222-2-20000-200-2000000022−2−222−2−200000000002−22−200
χ24222222-2-222-2-2000022222-2-20000-200-20000000−2−222−2−2220000000000−22−2200
χ25222222-2-222-2-200002-2-2-2-2-2-200002002000000022−2−222−2−20000000000−22−2200
χ26222222-2-222-2-200002-2-2-2-2-2-2000020020000000−2−222−2−22200000000002−22−200
χ272222-2-22222-2-20000-222-2-22-20000-2002000000022−2−2−2−22200000000002−2−2200
χ282222-2-22222-2-20000-222-2-22-20000-20020000000−2−22222−2−20000000000−222−200
χ292222-2-22222-2-20000-2-2-2222-20000200-2000000022−2−2−2−2220000000000−222−200
χ302222-2-22222-2-20000-2-2-2222-20000200-20000000−2−22222−2−200000000002−2−2200
χ312222-2-2-2-22222-2-2-2-2-222-2-2-2222-2-2200-2002-2-222000000000000000000000000
χ322222-2-2-2-22222-2-2-2-2-2-2-222-2222-2-2-200200222-2-2000000000000000000000000
χ332222-2-2-2-2-2-2222222200002-2-2-2-2-20220-2-22000000000000200-2000000000000
χ342222-2-2-2-2-2-2222222200002-2-2-2-2-20-2-20222000000000000-2002000000000000
χ352222-2-2-2-2-2-222-2-2-2-2200002-22222000000-200000000000002-20-220000000000
χ362222-2-2-2-2-2-222-2-2-2-2200002-22222000000-20000000000000-2202-20000000000
χ372-22-22i−2i2i−2i002-222-2-200000002i−2i0002-202i−2i000002−22−2i2−i2i2−i20000002−2i2−i2000000
χ382-22-22i−2i2i−2i002-222-2-200000002i−2i0002-202i−2i00000−22−22−i2i2−i2i2000000−22−i2i2000000
χ392-22-22i−2i2i−2i002-222-2-200000002i−2i000-220−2i2i000002−22−2i2−i2i2−i2000000−22−i2i2000000
χ402-22-22i−2i2i−2i002-222-2-200000002i−2i000-220−2i2i00000−22−22−i2i2−i2i20000002−2i2−i2000000
χ412-22-2−2i2i−2i2i002-222-2-20000000−2i2i0002-20−2i2i000002−22−2−i2i2−i2i20000002−2−i2i2000000
χ422-22-2−2i2i−2i2i002-222-2-20000000−2i2i0002-20−2i2i00000−22−22i2−i2i2−i2000000−22i2−i2000000
χ432-22-2−2i2i−2i2i002-222-2-20000000−2i2i000-2202i−2i000002−22−2−i2i2−i2i2000000−22i2−i2000000
χ442-22-2−2i2i−2i2i002-222-2-20000000−2i2i000-2202i−2i00000−22−22i2−i2i2−i20000002−2−i2i2000000
χ45444444-4-4-4-4-4-40000-4000044000000000000000000000000000000000000000
χ464444-4-444-4-4-4-4000040000-44000000000000000000000000000000000000000
χ4744-4-400004-40022−2222−220004-4000022−2200000000022−22000000000000000000000000
χ4844-4-400004-40022−2222−22000-44000022−22000000000−2222000000000000000000000000
χ4944-4-400004-400−2222−22220004-40000−2222000000000−2222000000000000000000000000
χ5044-4-400004-400−2222−2222000-440000−222200000000022−22000000000000000000000000
χ5144-4-40000-440022−2222−2204-4000000−2222000000022−2200000000000000000000000000
χ5244-4-40000-440022−2222−220-44000000−22220000000−222200000000000000000000000000
χ5344-4-40000-4400−2222−222204-400000022−220000000−222200000000000000000000000000
χ5444-4-40000-4400−2222−22220-4400000022−22000000022−2200000000000000000000000000
χ554-44-44i−4i4i−4i004-4-4-4440000000−4i4i0000000000000000000000000000000000000
χ564-44-44i−4i−4i4i00-44000000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ574-44-44i−4i−4i4i00-4400000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ584-44-4−4i4i4i−4i00-44000000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ594-44-4−4i4i4i−4i00-4400000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ604-44-4−4i4i−4i4i004-4-4-44400000004i−4i0000000000000000000000000000000000000
χ618-8-880000000042−42−42420000000000000000000000000000000000000000000000
χ628-8-8800000000−424242−420000000000000000000000000000000000000000000000

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