Finite Group Databasebeta

← Group #239001

Character table — Group #239001

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222244444444224444444488888888224444448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ91111-1-11-1-1111111-11-1-1-11-1-111111-1-1-1-11-11-11-11-111-1-11111-1-111-1-1-1-1
χ101111-1-11-1-1111111-11-1-1-11-1-111111-1-1-1-11-1-111-1-1111-1-1-1-1-1-111-1-11111
χ111111-1-11-1-1111111-11-1-1-11-1-111111-1-1-1-1-111-1-111-1-1-111-1-111-1-1-1-11111
χ121111-1-11-1-1111111-11-1-1-11-1-111111-1-1-1-1-11-11-11-11-1-11111-1-11111-1-1-1-1
χ131111-1-11-1-1111111-11-1-1-11-1-11-1-1-1-111111-11-11-11-1-1-111-1-1-1-11111-1-111
χ141111-1-11-1-1111111-11-1-1-11-1-11-1-1-1-111111-1-111-1-11-1-1111111-1-1-1-111-1-1
χ151111-1-11-1-1111111-11-1-1-11-1-11-1-1-1-11111-111-1-111-111-1-111-1-111-1-111-1-1
χ161111-1-11-1-1111111-11-1-1-11-1-11-1-1-1-11111-11-11-11-1111-1-1-1-111-1-111-1-111
χ172222222222-2-222-2-2-2-22-222-2-2000000002200-2-2000000000000000000
χ182222222222-2-222-2-2-2-22-222-2-200000000-2-20022000000000000000000
χ19222222222-2222-2-2-2-2-2-22-2-22222-2-222-2-2000000000000000000000000
χ20222222222-2222-2-2-2-2-2-22-2-222-2-222-2-222000000000000000000000000
χ21222222222-2-2-22-22222-2-2-2-2-2-200000000000000002i−2i2i−2i000000000000
χ22222222222-2-2-22-22222-2-2-2-2-2-20000000000000000−2i2i−2i2i000000000000
χ23222222-2-2-2222-22-2-2222-2-2-22-200000000002200-2-20000000000000000
χ24222222-2-2-2222-22-2-2222-2-2-22-20000000000-2-200220000000000000000
χ25222222-2-2-22-2-2-2222-2-222-2-2-22000000000000000000000000002-22-200
χ26222222-2-2-22-2-2-2222-2-222-2-2-2200000000000000000000000000-22-2200
χ27222222-2-2-2-222-2-222-2-2-2-2222-200000000000000000000002i−2i2i−2i000000
χ28222222-2-2-2-222-2-222-2-2-2-2222-20000000000000000000000−2i2i−2i2i000000
χ29222222-2-2-2-2-2-2-2-2-2-222-2222-22000000000000000000002i−2i000000002i−2i
χ30222222-2-2-2-2-2-2-2-2-2-222-2222-2200000000000000000000−2i2i00000000−2i2i
χ312222-2-22-2-22-2-222-22-22-222-22-2000000002-200-22000000000000000000
χ322222-2-22-2-22-2-222-22-22-222-22-200000000-22002-2000000000000000000
χ332222-2-22-2-2-2222-2-22-222-2-22-2222-2-2-2-222000000000000000000000000
χ342222-2-22-2-2-2222-2-22-222-2-22-22-2-22222-2-2000000000000000000000000
χ352222-2-22-2-2-2-2-22-22-22-222-222-200000000000000002i−2i−2i2i000000000000
χ362222-2-22-2-2-2-2-22-22-22-222-222-20000000000000000−2i2i2i−2i000000000000
χ372222-2-2-222222-22-222-2-22-22-2-200000000002-200-220000000000000000
χ382222-2-2-222222-22-222-2-22-22-2-20000000000-22002-20000000000000000
χ392222-2-2-2222-2-2-222-2-22-2-2-2222000000000000000000000000002-2-2200
χ402222-2-2-2222-2-2-222-2-22-2-2-222200000000000000000000000000-222-200
χ412222-2-2-222-222-2-22-2-22222-2-2-200000000000000000000002i−2i−2i2i000000
χ422222-2-2-222-222-2-22-2-22222-2-2-20000000000000000000000−2i2i2i−2i000000
χ432222-2-2-222-2-2-2-2-2-222-22-22-222000000000000000000002i−2i00000000−2i2i
χ442222-2-2-222-2-2-2-2-2-222-22-22-22200000000000000000000−2i2i000000002i−2i
χ4544-4-44-444-4000-4000000000000022−220022−22000000000000000000000000
χ4644-4-44-444-4000-40000000000000−222200−2222000000000000000000000000
χ4744-4-44-4-4-440004000000000002i2−2i2002i2−2i200000000000000000000000000
χ4844-4-44-4-4-44000400000000000−2i22i200−2i22i200000000000000000000000000
χ4944-4-4-444-44000-4000000000000022−2200−2222000000000000000000000000
χ5044-4-4-444-44000-40000000000000−22220022−22000000000000000000000000
χ5144-4-4-44-44-40004000000000002i2−2i200−2i22i200000000000000000000000000
χ5244-4-4-44-44-4000400000000000−2i22i2002i2−2i200000000000000000000000000
χ538-88-8000008000-8000000000000000000000000000000000000000000
χ548-88-800000-80008000000000000000000000000000000000000000000
χ558-8-880000008-800000000000000000000000000000000000000000000
χ568-8-88000000-8800000000000000000000000000000000000000000000

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