Finite Group Databasebeta

← Group #263911

Character table — Group #263911

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222224444448888888161616161616161616161616161616161616161616163232
order12224444442444882444888244444444488888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-11-1-1-1-1-1111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111
χ61111111111111111-1-1-1-1111111-11-1-1-1-1-111-1-1-1-1111111-1-1
χ71111111111111111-1-1-1-1111-1-1-11-111111-1-1-1-111-1-11111-1-1
χ81111111111111111-1-1-1-1111-1-1-1-1-11111-111-1-1-1-111-1-1-1-111
χ911111111111111-1-11111-1-1-11-1-11111-1-1111-1-1-1-1-1-111-1-11-1
χ1011111111111111-1-11111-1-1-11-1-1-1111-1-1-1-1-1-1-11111-1-111-11
χ1111111111111111-1-11111-1-1-1-1111-1-1-111111-1-1-1-1-1-1-1-111-11
χ1211111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1111111-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-111-1-1111-1
χ1411111111111111-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1111111-1-111-1-1-11
χ1511111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-11-1-111-1-11111-1-1-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-1111-1
χ172222222-2-22-2-22-22222-2-2-22-20000000000002-20000000000
χ182222222-2-22-2-22-222-2-222-22-2000000000000-220000000000
χ192222222-2-22-2-22-2-2-222-2-22-22000000000000-220000000000
χ202222222-2-22-2-22-2-2-2-2-2222-220000000000002-20000000000
χ21222222-222-2-2-2-22002-22-2000000200000-22-2000000000000
χ22222222-222-2-2-2-22002-22-2000000-2000002-22000000000000
χ23222222-222-2-2-2-2200-22-22000000200000-2-22000000000000
χ24222222-222-2-2-2-2200-22-22000000-20000022-2000000000000
χ25222222-2-2-2-222-2-2002-2-22000000000000000002i−2i2i−2i000000
χ26222222-2-2-2-222-2-2002-2-2200000000000000000−2i2i−2i2i000000
χ27222222-2-2-2-222-2-200-222-2000000000000000002i−2i−2i2i000000
χ28222222-2-2-2-222-2-200-222-200000000000000000−2i2i2i−2i000000
χ292222-2-22222-22-2-2220000-2-2222-20-20000000000000000000
χ302222-2-22222-22-2-2220000-2-22-2-22020000000000000000000
χ312222-2-22222-22-2-2-2-2000022-22-220-20000000000000000000
χ322222-2-22222-22-2-2-2-2000022-2-22-2020000000000000000000
χ332222-2-22-2-222-2-222200002-2-2000002-22-2000000000000000
χ342222-2-22-2-222-2-222200002-2-200000-22-22000000000000000
χ352222-2-22-2-222-2-22-2-20000-222000002-2-22000000000000000
χ362222-2-22-2-222-2-22-2-20000-22200000-222-2000000000000000
χ374444-4-4-444-44-44-4000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444000000000000000000000000000000000
χ3944-4-400400-400004-400000000000000000000000002-22-200
χ4044-4-400400-400004-40000000000000000000000000-22-2200
χ4144-4-400400-40000-4400000000000000000000000002-2-2200
χ4244-4-400400-40000-440000000000000000000000000-222-200
χ4388-8-800-80080000000000000000000000000000000000000
χ448-88-80008-800000000000000000000000000000000000000
χ458-88-8000-8800000000000000000000000000000000000000
χ468-8-888-800000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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