Finite Group Databasebeta

← Group #349169

Character table — Group #349169

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444888888888888888888888888888161616161616161632323232
order12222244444444488222444444444888888888888888888888884488
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-111-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ41111111111111111111-111-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111111111-1-11-1-111-1-11-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ611111111111111111-1-11-1-111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-111-11111-1-11-1-1-1-1-1-111111111-1-1-1-111-1-1
χ811111111111111111-1-1-1-1-1-1-111-11111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111
χ9111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111111-1-111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-111-1
χ12111111111111111-1-111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-11111-1-11-1-11
χ13111111111111111-1-1-1-11-1-111-1-11-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-11-11
χ14111111111111111-1-1-1-11-1-111-1-11-1-1-1-1-1-1-11111-1-11111-1-111-1-1111-11-1
χ15111111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1111111-1-1-1-111-1-1-1-1111-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1111111-1-1-1-1-1-11111-1-1-111-1
χ17222222222-2-22-2-2-222002002-200-200-2-22220000-2-20000000000000000
χ18222222222-2-22-2-2-22200-200-2200200-2-2-2-220000220000000000000000
χ19222222222-2-22-2-2-2-2-2002002-200-20022-2-2-20000220000000000000000
χ20222222222-2-22-2-2-2-2-200-200-22002002222-20000-2-20000000000000000
χ21222222-2-2-222-2-22-2000000000220-2-2002i−2i02i2i−2i−2i2i−2i0000000000000000
χ22222222-2-2-222-2-22-2000000000220-2-200−2i2i0−2i−2i2i2i−2i2i0000000000000000
χ23222222-2-2-222-2-22-2000000000-2-2022002i−2i0−2i−2i2i2i2i−2i0000000000000000
χ24222222-2-2-222-2-22-2000000000-2-202200−2i2i02i2i−2i−2i−2i2i0000000000000000
χ25222222-2-2-2-2-2-22-22002-202-20000000002i−2i00000−2i2i2i2i−2i−2i000000000000
χ26222222-2-2-2-2-2-22-22002-202-2000000000−2i2i000002i−2i−2i−2i2i2i000000000000
χ27222222-2-2-2-2-2-22-2200-220-220000000002i−2i00000−2i2i−2i−2i2i2i000000000000
χ28222222-2-2-2-2-2-22-2200-220-22000000000−2i2i000002i−2i2i2i−2i−2i000000000000
χ292222-2-222-222-2-2-2200222-2-2-2-22-222-2000000000000000000000000000
χ302222-2-222-222-2-2-220022-2-2-222-22-2-22000000000000000000000000000
χ312222-2-222-222-2-2-2200-2-2222-2-2-222-22000000000000000000000000000
χ322222-2-222-222-2-2-2200-2-2-222222-2-22-2000000000000000000000000000
χ332222-2-222-2-2-2-222-20000200-2200-200000002i−2i2i−2i002i−2i2i−2i000000000000
χ342222-2-222-2-2-2-222-20000200-2200-20000000−2i2i−2i2i00−2i2i−2i2i000000000000
χ352222-2-222-2-2-2-222-20000-2002-200200000002i−2i2i−2i00−2i2i−2i2i000000000000
χ362222-2-222-2-2-2-222-20000-2002-20020000000−2i2i−2i2i002i−2i2i−2i000000000000
χ372222-2-2-2-222222-2-22200000002-20-222-200-20000002-2-22000000000000
χ382222-2-2-2-222222-2-2220000000-2202-22-200-2000000-222-2000000000000
χ392222-2-2-2-222222-2-2-2-200000002-20-22-22002000000-222-2000000000000
χ402222-2-2-2-222222-2-2-2-20000000-2202-2-220020000002-2-22000000000000
χ412222-2-2-2-22-2-22-222222-20-220000000-2200-22-2-22000000000000000000
χ422222-2-2-2-22-2-22-22222-2202-20000000-2200-2-222-2000000000000000000
χ432222-2-2-2-22-2-22-222-2-22-20-2200000002-2002-222-2000000000000000000
χ442222-2-2-2-22-2-22-222-2-2-2202-200000002-20022-2-22000000000000000000
χ4544-4-44-44-4400-4000000000000000000000000000000000022−2200000000
χ4644-4-44-44-4400-40000000000000000000000000000000000−222200000000
χ4744-4-44-4-44-40040000000000000000000000000000000000002i2−2i2000000
χ4844-4-44-4-44-4004000000000000000000000000000000000000−2i22i2000000
χ4944-4-4-444-4-4004000000000000000000000000000000000000002i2−2i20000
χ5044-4-4-444-4-400400000000000000000000000000000000000000−2i22i20000
χ5144-4-4-44-44400-40000000000000000000000000000000022−220000000000
χ5244-4-4-44-44400-400000000000000000000000000000000−22220000000000
χ538-88-80000000000042−42000000000000000000000000000000000000000
χ548-88-800000000000−4242000000000000000000000000000000000000000
χ558-8-88000008-8000000000000000000000000000000000000000000000
χ568-8-8800000-88000000000000000000000000000000000000000000000

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