Finite Group Databasebeta

← Group #489331

Character table — Group #489331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12224444444424488888822244444816161616161616162444448888881616161624
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-111-1-1-1111111111-11-1-11-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111-111-1-1-11-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-11111111111-111-11-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-111-11-1-111111111-1-1
χ91111-1-1-1-1-1-111-111-1-11111111-1-11-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-11-1
χ101111-1-1-1-1-1-111-111-1-11111111-1-11-1-1-1-1-1-1-111111-11-11-11-1-1-111-1-111-11
χ111111-1-1-1-1-1-111-111-1-1111111-1-1-1-111-11111-1-1-1-1-1-1-1111-1111-1-1-1-111-11
χ121111-1-1-1-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1-11111-1-1-1111-11-1-11111-1-11-1
χ131111-1-1-1-1-1-111-111-1-11111-1-11111-1-1-11111-1-1-1-1-11-11-111-1-1-11111-1-1-11
χ141111-1-1-1-1-1-111-111-1-11111-1-11111-1-1-1-1-1-1-11111-11-11-111-111-1-1-1-1111-1
χ151111-1-1-1-1-1-111-111-1-11111-1-1-111-111-11111-1-1-1-1111-1-1-1-11-1-111-1-1111-1
χ161111-1-1-1-1-1-111-111-1-11111-1-1-111-111-1-1-1-1-11111111-1-1-1-1111-1-111-1-1-11
χ17222222222222222-2-2-2-2-2-200200222-200000000000000-2-20000000000
χ18222222222222222-2-2-2-2-2-200-200-2-2-2-200000000000000220000000000
χ19222222-2-22222-2-2-22222-2-222022000-2000000000-200-20000000000000
χ20222222-2-22222-2-2-22222-2-2-2-20-2-2000-200000000020020000000000000
χ21222222-2-22222-2-2-2-2-2-2-2220000000020000000020-220-2000000000000
χ22222222-2-22222-2-2-2-2-2-2-22200000000200000000-202-202000000000000
χ23222222-2-2-2-2-2-22-2200000000200-22-2022−2−222−2−20000000000002−22−200
χ24222222-2-2-2-2-2-22-2200000000200-22-20−2−222−2−222000000000000−22−2200
χ25222222-2-2-2-2-2-22-2200000000-2002-22022−2−222−2−2000000000000−22−2200
χ26222222-2-2-2-2-2-22-2200000000-2002-220−2−222−2−2220000000000002−22−200
χ272222-2-22222-2-2-2-2200000000200-2-22022−2−2−2−2220000000000002−2−2200
χ282222-2-22222-2-2-2-2200000000200-2-220−2−22222−2−2000000000000−222−200
χ292222-2-22222-2-2-2-2200000000-20022-2022−2−2−2−222000000000000−222−200
χ302222-2-22222-2-2-2-2200000000-20022-20−2−22222−2−20000000000002−2−2200
χ312222-2-222-2-2222-2-222-2-22200000000-20000000020-2-202000000000000
χ322222-2-222-2-2222-2-222-2-22200000000-200000000-20220-2000000000000
χ332222-2-222-2-2222-2-2-2-222-2-2220-2-20002000000000200-20000000000000
χ342222-2-222-2-2222-2-2-2-222-2-2-2-20220002000000000-20020000000000000
χ352222-2-2-2-2-2-222-22222-2-2-2-2002002-2-2200000000000000-220000000000
χ362222-2-2-2-2-2-222-22222-2-2-2-200-200-2222000000000000002-20000000000
χ3722-2-22i−2i002i−2i2-20002i−2i2-2002-202i−2i00002−22−2i2−i2i2−i2000000002−2i2−i2000000
χ3822-2-22i−2i002i−2i2-20002i−2i2-2002-202i−2i0000−22−22−i2i2−i2i200000000−22−i2i2000000
χ3922-2-22i−2i002i−2i2-20002i−2i2-200-220−2i2i00002−22−2i2−i2i2−i200000000−22−i2i2000000
χ4022-2-22i−2i002i−2i2-20002i−2i2-200-220−2i2i0000−22−22−i2i2−i2i2000000002−2i2−i2000000
χ4122-2-2−2i2i00−2i2i2-2000−2i2i2-2002-20−2i2i00002−22−2−i2i2−i2i2000000002−2−i2i2000000
χ4222-2-2−2i2i00−2i2i2-2000−2i2i2-2002-20−2i2i0000−22−22i2−i2i2−i200000000−22i2−i2000000
χ4322-2-2−2i2i00−2i2i2-2000−2i2i2-200-2202i−2i00002−22−2−i2i2−i2i200000000−22i2−i2000000
χ4422-2-2−2i2i00−2i2i2-2000−2i2i2-200-2202i−2i0000−22−22i2−i2i2−i2000000002−2−i2i2000000
χ4544444444-4-4-4-4-44-400000000000000000000000000000000000000000
χ464444-4-4-4-444-4-444-400000000000000000000000000000000000000000
χ4744-4-44i−4i004i−4i4-4000−4i4i-440000000000000000000000000000000000000
χ4844-4-44i−4i00−4i4i-440000000000000000002-2-222i−2i−2i2i000000000000000000
χ4944-4-44i−4i00−4i4i-44000000000000000000-222-2−2i2i2i−2i000000000000000000
χ5044-4-4−4i4i004i−4i-440000000000000000002-2-22−2i2i2i−2i000000000000000000
χ5144-4-4−4i4i004i−4i-44000000000000000000-222-22i−2i−2i2i000000000000000000
χ5244-4-4−4i4i00−4i4i4-40004i−4i-440000000000000000000000000000000000000
χ538-88-8008i−8i000000000000000000000000000000000000000000000000
χ548-88-800−8i8i000000000000000000000000000000000000000000000000
χ558-8-8800000000000000042−4200000000000000000000000000000000000
χ568-8-88000000000000000−424200000000000000000000000000000000000

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