Finite Group Databasebeta

← Group #508203

Character table — Group #508203

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222222224444444444422444444444444444488
χ111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1
χ4111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111-1-1-1-111-11-1-1111-111-1-111-1-1-1-1
χ611111111111111111-1-1-1-111-1-11-111-11-1-111-1-111-1-1
χ711111111111111111-1-1-1-1-1-1-11-1-1-1-11-111-1-1-1-11111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-111
χ91111111111-1-111-1-1-111-1-11-1111-11-1-1-11-11-11-11-11-1
χ101111111111-1-111-1-1-111-1-11-11-1-1-11-111-11-11-11-111-1
χ111111111111-1-111-1-1-111-1-1-11111-1-11-1-11-11-1-11-11-11
χ121111111111-1-111-1-1-111-1-1-111-1-1-1-1111-11-111-11-1-11
χ131111111111-1-111-1-1-1-1-1111-1-11-111-1-111-1-111-1-11-11
χ141111111111-1-111-1-1-1-1-1111-1-1-1111-11-1-111-1-111-1-11
χ151111111111-1-111-1-1-1-1-111-11-11-11-11-111-1-11-111-11-1
χ161111111111-1-111-1-1-1-1-111-11-1-111-111-1-111-11-1-111-1
χ172222222-22-222-2-2-22-20000000020000200-2-2000000
χ182222222-22-222-2-2-22-200000000-20000-20022000000
χ192222222-22-2-2-2-2-22-220000000020000-200-22000000
χ202222222-22-2-2-2-2-22-2200000000-200002002-2000000
χ21222222-22-2222-2-2-2-2200000002000020-2-200000000
χ22222222-22-2222-2-2-2-220000000-20000-202200000000
χ23222222-22-22-2-2-2-222-2000000020000-20-2200000000
χ24222222-22-22-2-2-2-222-20000000-20000202-200000000
χ25222222-2-2-2-222222-2-2222200-200-200000000000000
χ26222222-2-2-2-222222-2-2-2-2-2-200200200000000000000
χ27222222-2-2-2-2-2-222-22222-2-200-200200000000000000
χ28222222-2-2-2-2-2-222-222-2-22200200-200000000000000
χ294444-4-400004-4000000000220000-2-2000000000000
χ304444-4-400004-4000000000-2-2000022000000000000
χ314444-4-40000-440000000002-20000-22000000000000
χ324444-4-40000-44000000000-2200002-2000000000000
χ334-4-444-444-4-4004-4000000000000000000000000000
χ344-4-444-44-4-4400-44000000000000000000000000000
χ354-4-444-4-444-400-44000000000000000000000000000
χ364-4-444-4-4-444004-4000000000000000000000000000
χ3788-8-800000000000004-40000000000000000000000
χ3888-8-80000000000000-440000000000000000000000
χ398-88-80000000000000004i−4i00000000000000000000
χ408-88-8000000000000000−4i4i00000000000000000000
χ418-8-88-8800000000000000000000000000000000000

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