Finite Group Databasebeta

← Group #326759

Character table — Group #326759

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442222244444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-111-111-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111
χ51111111111111111111111-1-1111-1-1-11111-1-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-111-1111-1-1111-1-1-11111-1-1-1-1-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-1-111-1-1-1-1-1111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-111111111
χ9111111111111-1-1-1-11111-1-11-111111-1-1-1-1-1-11-1111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-11-111-1-1-1111-1-111-1-1-1-11111-1-1-1-111
χ11111111111111-1-1-1-11111-1-11-1-1-1111-1-1-111-11-11-1-111-1-111-1-111
χ12111111111111-1-1-1-11111-1-11-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-11111-1-11-1-1-1-11-111-1-111-1-11111-1-1
χ14111111111111-1-1-1-11111-1-1-1111-111-111-1-1-1-11-111-1-1-1-111-1-111
χ15111111111111-1-1-1-11111-1-1-11-1-11-1-11-1-1111-11111-1-111-1-1-1-111
χ16111111111111-1-1-1-11111-1-1-11-1-1-111-11111-1-11-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-22-2000002-220000-2000000000000000
χ1822222222222222-2-2-2-2-2-22-200000-22-200002000000000000000
χ19222222222222-2-222-2-2-2-2-22000002-2-200002000000000000000
χ20222222222222-2-222-2-2-2-2-2200000-2220000-2000000000000000
χ2122222222-2-2-2-2222222-2-2-2-22-200000000000-220000000000000
χ2222222222-2-2-2-2222222-2-2-2-2-22000000000002-20000000000000
χ2322222222-2-2-2-222-2-2-2-222-22000020002-200000-2000000000000
χ2422222222-2-2-2-222-2-2-2-222-220000-2000-22000002000000000000
χ2522222222-2-2-2-2-2-222-2-2222-200002000-2200000-2000000000000
χ2622222222-2-2-2-2-2-222-2-2222-20000-20002-2000002000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2222200000000000-2-20000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2-200000000000220000000000000
χ29444-44-4-4-40000004i−4i00000000000000000000002-22i−2i00000000
χ30444-44-4-4-40000004i−4i0000000000000000000000-22−2i2i00000000
χ31444-44-4-4-4000000−4i4i00000000000000000000002-2−2i2i00000000
χ32444-44-4-4-4000000−4i4i0000000000000000000000-222i−2i00000000
χ3344-44-44-4-400004i−4i00000000002-20000002i−2i0000000000000000
χ3444-44-44-4-400004i−4i0000000000-22000000−2i2i0000000000000000
χ3544-44-44-4-40000−4i4i00000000002-2000000−2i2i0000000000000000
χ3644-44-44-4-40000−4i4i0000000000-220000002i−2i0000000000000000
χ3744-4-4-4-4444-44-400000000000000000000000000000022−22000000
χ3844-4-4-4-4444-44-4000000000000000000000000000000−2222000000
χ3944-4-4-4-444-44-440000000000000000000000000000000022−220000
χ4044-4-4-4-444-44-4400000000000000000000000000000000−22220000
χ414-444-4-4-4444-4-40000000000000000000000000000000000002i2−2i2
χ424-444-4-4-4444-4-4000000000000000000000000000000000000−2i22i2
χ434-444-4-4-44-4-444000000000000000000000000000000000022−2200
χ444-444-4-4-44-4-4440000000000000000000000000000000000−222200
χ454-4-4-444-444-4-4400004-44-4000000000000000000000000000000
χ464-4-4-444-444-4-440000-44-44000000000000000000000000000000
χ474-4-4-444-44-444-400004-4-44000000000000000000000000000000
χ484-4-4-444-44-444-40000-444-4000000000000000000000000000000
χ498-88-8-888-8000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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