Finite Group Databasebeta

← Group #345913

Character table — Group #345913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222224448888881616161616161616161616161616161616161632323232
order12222244444444444444422444448888888888884488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1
χ511111111111111111-1-1-1-1111-1-11111-1-111-1-111-1-11-1-1-1
χ611111111111111111-1-1-1-1111-1-111-1-111-1-111-1-111-11-1-1
χ711111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1111
χ811111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111-111
χ9111111111111111-1-111111-1-1-1-11-111-1-11111-1-111-1-11-1
χ10111111111111111-1-111111-1-1-1-11-1-1-111-1-1-1-111-1-1111-1
χ11111111111111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-11
χ12111111111111111-1-11111-11-1-1-1-11-1-111111111-1-1-1-1-11
χ13111111111111111-1-1-1-1-1-11-1-1111-1111111-1-1-1-1-1-1-11-11
χ14111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-11111111-1-11
χ15111111111111111-1-1-1-1-1-1-11-111-111111-1-111-1-1-1-11-11-1
χ16111111111111111-1-1-1-1-1-1-11-111-11-1-1-1-111-1-11111-111-1
χ172222222-2-2222-2-2-22222-2-200-22-2000000000000000000
χ182222222-2-2222-2-2-222-2-22200-2-22000000000000000000
χ192222222-2-2222-2-2-2-2-222-2-2002-22000000000000000000
χ202222222-2-2222-2-2-2-2-2-2-2220022-2000000000000000000
χ212222-2-22-2-2-2-2222-200000020000-202i−2i002i−2i0000000000
χ222222-2-22-2-2-2-2222-200000020000-20−2i2i00−2i2i0000000000
χ232222-2-22-2-2-2-2222-2000000-20000202i−2i00−2i2i0000000000
χ242222-2-22-2-2-2-2222-2000000-2000020−2i2i002i−2i0000000000
χ252222-2-2-2-2-222-22-22000000020000-2002i−2i002i−2i00000000
χ262222-2-2-2-2-222-22-22000000020000-200−2i2i00−2i2i00000000
χ272222-2-2-2-2-222-22-220000000-200002002i−2i00−2i2i00000000
χ282222-2-2-2-2-222-22-220000000-20000200−2i2i002i−2i00000000
χ29444444-444-4-4-44-4-400000000000000000000000000000
χ30444444-4-4-4-4-4-4-44400000000000000000000000000000
χ314444-4-4444-4-44-4-4400000000000000000000000000000
χ324444-4-4-44444-4-44-400000000000000000000000000000
χ334-4-444-44004-4-4000000000000000000000000002i2−2i20000
χ344-4-444-44004-4-400000000000000000000000000−2i22i20000
χ354-4-444-4-400-44400000000000000000000000022−22000000
χ364-4-444-4-400-444000000000000000000000000−2222000000
χ374-4-44-44400-44-4000004i−4i0000000000000000000000000
χ384-4-44-44400-44-400000−4i4i0000000000000000000000000
χ394-4-44-44-4004-440004-4000000000000000000000000000
χ404-4-44-44-4004-44000-44000000000000000000000000000
χ4188-8-80000000000000004-400000000000000000000000
χ4288-8-8000000000000000-4400000000000000000000000
χ438-88-80008i−8i00000000000000000000000000000000000
χ448-88-8000−8i8i00000000000000000000000000000000000

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