Finite Group Databasebeta

← Group #347013

Character table — Group #347013

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222444488888888888888888888888888881616161616161616161616163232
order12222244444444222224444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ4111111111111111111-111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ51111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1
χ61111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111-1-1-111-111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11
χ81111111111111111-1-1-111-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ911111111111111-1-1111-1-1111-1-11-1-1-1-111-1-11-1-111-1-11111-1-1-1-1-1-1-1-111
χ1011111111111111-1-1111-1-1111-1-11-1-1-1-111-1-11-1-111-1-1-1-1-1-111111111-1-1
χ1111111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-111111-1
χ1211111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1111111-1-1-1-1-11
χ1311111111111111-1-1-1-11-1-11-1-1111-1-111-1-1111-1-1-1-1111111-1-111-1-111-1-1
χ1411111111111111-1-1-1-11-1-11-1-1111-1-111-1-1111-1-1-1-111-1-1-1-111-1-111-1-111
χ1511111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-111-11111-1-111-1-1-1-11111-1-1-11
χ1611111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-111-11111-1-1-1-11111-1-1-1-1111-1
χ172222222222-2-2-2-200222002-2-200-20000-2-200-200220000000000000000
χ182222222222-2-2-2-20022-200-2220020000-2-200200-2-20000000000000000
χ192222222222-2-2-2-200-2-220022200-200002200-200-2-20000000000000000
χ202222222222-2-2-2-200-2-2-200-2-2-200200002200200220000000000000000
χ21222222-2-2-2-222-2-22-20022-2-20000-22-200000022-2000000000000000000
χ22222222-2-2-2-222-2-22-200-22-2200002-22000000-2-22000000000000000000
χ23222222-2-2-2-222-2-2-22002-22-20000-2-220000002-22000000000000000000
χ24222222-2-2-2-222-2-2-2200-2-222000022-2000000-22-2000000000000000000
χ25222222-2-2-2-2-2-2220000200-2002-22002-2002-2-200002-200000000000000
χ26222222-2-2-2-2-2-2220000200-200-22200-2200-22-20000-2200000000000000
χ27222222-2-2-2-2-2-2220000-2002002-2-200-22002-220000-2200000000000000
χ28222222-2-2-2-2-2-2220000-200200-22-2002-200-22200002-200000000000000
χ292222-2-22-22-22-22-2000000002-22202-20000-2-20-222-20000000000000000
χ302222-2-22-22-22-22-2000000002-2-2-20-2200002202-22-20000000000000000
χ312222-2-22-22-22-22-200000000-22220-220000-2-202-2-220000000000000000
χ322222-2-22-22-22-22-200000000-22-2-202-20000220-22-220000000000000000
χ332222-2-22-22-2-22-222-2000-2202-200000220000000-22-2-200000000000000
χ342222-2-22-22-2-22-222-2000-220-2200000-2-200000002-22200000000000000
χ352222-2-22-22-2-22-22-220002-202-200000-2-20000000-222200000000000000
χ362222-2-22-22-2-22-22-220002-20-22000002200000002-2-2-200000000000000
χ372222-2-2-22-222-2-22002-2000000000222-22-2000-2-200-2200000000000000
χ382222-2-2-22-222-2-22002-2000000000-2-2-222-200022002-200000000000000
χ392222-2-2-22-222-2-2200-2200000000022-22-22000-2-2002-200000000000000
χ402222-2-2-22-222-2-2200-22000000000-2-22-2-220002200-2200000000000000
χ412222-2-2-22-22-222-2222-20-2-2000-2200000-222-2000000000000000000000
χ422222-2-2-22-22-222-222-220-2-20002-2000002-2-22000000000000000000000
χ432222-2-2-22-22-222-2-2-22-20220002-200000-22-22000000000000000000000
χ442222-2-2-22-22-222-2-2-2-22022000-22000002-22-2000000000000000000000
χ4544-4-44-44-4-4400000000000000000000000000000000000022−2200000000
χ4644-4-44-44-4-44000000000000000000000000000000000000−222200000000
χ4744-4-44-4-444-4000000000000000000000000000000000000000022−220000
χ4844-4-44-4-444-40000000000000000000000000000000000000000−22220000
χ4944-4-4-4444-4-400000000000000000000000000000000000000000022−2200
χ5044-4-4-4444-4-4000000000000000000000000000000000000000000−222200
χ5144-4-4-44-4-444000000000000000000000000000000000000002i2−2i2000000
χ5244-4-4-44-4-44400000000000000000000000000000000000000−2i22i2000000
χ538-88-8000000000000000000000000000000000000000022−220000000000
χ548-88-80000000000000000000000000000000000000000−22220000000000
χ558-8-880000000000000000000000000000000000000022−22000000000000
χ568-8-8800000000000000000000000000000000000000−2222000000000000

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