Finite Group Databasebeta

← Group #349175

Character table — Group #349175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444888888888888888888888888888161616161616161632323232
order12222244444444488222444444444888888888888888888888882488
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-111-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111-111-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
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
χ711111111111111111-1-1-1-1-1-1-111-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-111-1111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
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
χ11111111111111111-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-11
χ12111111111111111-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-111-1
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
χ15111111111111111-1-1-1-1-1-1-1-1-111-111-111-1-1111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-111-111-111-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222-222-22-2-2-222002002-200-2002-2-2-2-20000220000000000000000
χ182222222-222-22-2-2-22200-200-2200200222-2-20000-2-20000000000000000
χ192222222-222-22-2-2-2-2-2002002-200-200-222220000-2-20000000000000000
χ202222222-222-22-2-2-2-2-200-200-2200200-2-2-2220000220000000000000000
χ21222222-22-2-22-22-2-200220-2-2000000002i−2i0000002i−2i2i2i−2i−2i000000000000
χ22222222-22-2-22-22-2-200220-2-200000000−2i2i000000−2i2i−2i−2i2i2i000000000000
χ23222222-22-2-22-22-2-200-2-2022000000002i−2i0000002i−2i−2i−2i2i2i000000000000
χ24222222-22-2-22-22-2-200-2-202200000000−2i2i000000−2i2i2i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-2-2220000000002-202-202i−2i002i2i−2i−2i−2i2i0000000000000000
χ26222222-2-2-2-2-2-2-2220000000002-202-20−2i2i00−2i−2i2i2i2i−2i0000000000000000
χ27222222-2-2-2-2-2-2-222000000000-220-2202i−2i00−2i−2i2i2i−2i2i0000000000000000
χ28222222-2-2-2-2-2-2-222000000000-220-220−2i2i002i2i−2i−2i2i−2i0000000000000000
χ292222-2-222-222-2-2-22002-222-2-2222-2-2-2000000000000000000000000000
χ302222-2-222-222-2-2-22002-2-22-22-2-2-2222000000000000000000000000000
χ312222-2-222-222-2-2-2200-222-22-22-2-2-222000000000000000000000000000
χ322222-2-222-222-2-2-2200-22-2-222-2222-2-2000000000000000000000000000
χ332222-2-22-2-22-2-222-20000200-2-200200000002i−2i2i−2i002i−2i2i−2i000000000000
χ342222-2-22-2-22-2-222-20000200-2-20020000000−2i2i−2i2i00−2i2i−2i2i000000000000
χ352222-2-22-2-22-2-222-20000-2002200-200000002i−2i2i−2i00−2i2i−2i2i000000000000
χ362222-2-22-2-22-2-222-20000-2002200-20000000−2i2i−2i2i002i−2i2i−2i000000000000
χ372222-2-2-222-222-22-2222-20-220000000-2002-22-2-22000000000000000000
χ382222-2-2-222-222-22-222-2202-20000000-2002-2-222-2000000000000000000
χ392222-2-2-222-222-22-2-2-22-20-220000000200-22-222-2000000000000000000
χ402222-2-2-222-222-22-2-2-2-2202-20000000200-222-2-22000000000000000000
χ412222-2-2-2-22-2-222-222200000002-20-22-200-22000000-222-2000000000000
χ422222-2-2-2-22-2-222-22220000000-2202-2-200-220000002-2-22000000000000
χ432222-2-2-2-22-2-222-22-2-200000002-20-222002-20000002-2-22000000000000
χ442222-2-2-2-22-2-222-22-2-20000000-2202-22002-2000000-222-2000000000000
χ4544-4-44-4404-40-40000000000000000000000000000000022−220000000000
χ4644-4-44-4404-40-400000000000000000000000000000000−22220000000000
χ4744-4-44-4-40-44040000000000000000000000000000000000000022−220000
χ4844-4-44-4-40-440400000000000000000000000000000000000000−22220000
χ4944-4-4-4440-4-4040000000000000000000000000000000000002i2−2i2000000
χ5044-4-4-4440-4-404000000000000000000000000000000000000−2i22i2000000
χ5144-4-4-44-40440-400000000000000000000000000000000002i2−2i200000000
χ5244-4-4-44-40440-40000000000000000000000000000000000−2i22i200000000
χ538-88-8000800-8000000000000000000000000000000000000000000000
χ548-88-8000-8008000000000000000000000000000000000000000000000
χ558-8-880000000000042−42000000000000000000000000000000000000000
χ568-8-8800000000000−4242000000000000000000000000000000000000000

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