Finite Group Databasebeta

← Group #326749

Character table — Group #326749

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222222444444242224444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-111-1-1-11-111-1-1111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-111-1-1-11-1-1-1-1-11-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1111-1111-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111-1-1-1-11111-1-11-11-111-1-1-1111-11-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-11-11-111-1-1-1-1-11-1111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-11-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-1-11-1-11-1-1111-1-11-1-11111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-111-1-1-11-1111-111-1-1-1-111-1-11111-1-1
χ14111111111111-1-1-1-11111-1-1-111-1-1-11-11-1-1-1111111-1-111-1-1-1-111
χ15111111111111-1-1-1-11111-1-1-11-1111-11-111-11-1-1-111-1-1-1-111-1-111
χ16111111111111-1-1-1-11111-1-1-11-1111-11-1-1-1-11-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-22-200002-220-20000000000000000000
χ1822222222222222-2-2-2-2-2-22-20000-22-2020000000000000000000
χ19222222222222-2-222-2-2-2-2-2200002-2-2020000000000000000000
χ20222222222222-2-222-2-2-2-2-220000-2220-20000000000000000000
χ2122222222-2-2-2-2222222-2-2-2-2002-2000200000-200000000000000
χ2222222222-2-2-2-2222222-2-2-2-200-22000-200000200000000000000
χ2322222222-2-2-2-222-2-2-2-222-2222000000000-2-2000000000000000
χ2422222222-2-2-2-222-2-2-2-222-22-2-200000000022000000000000000
χ2522222222-2-2-2-2-2-222-2-2222-22-2000000000-22000000000000000
χ2622222222-2-2-2-2-2-222-2-2222-2-220000000002-2000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2220022000-200000-200000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22200-2-2000200000200000000000000
χ29444-4-44-4-40000004i−4i00000000000000000000002i−2i2-200000000
χ30444-4-44-4-40000004i−4i0000000000000000000000−2i2i-2200000000
χ31444-4-44-4-4000000−4i4i00000000000000000000002i−2i-2200000000
χ32444-4-44-4-4000000−4i4i0000000000000000000000−2i2i2-200000000
χ3344-44-4-44-400004-4000000000000000002i−2i0002i−2i000000000000
χ3444-44-4-44-400004-400000000000000000−2i2i000−2i2i000000000000
χ3544-44-4-44-40000-44000000000000000002i−2i000−2i2i000000000000
χ3644-44-4-44-40000-4400000000000000000−2i2i0002i−2i000000000000
χ3744-4-44-4-4444-4-400000000000000000000000000000000002i2−2i200
χ3844-4-44-4-4444-4-40000000000000000000000000000000000−2i22i200
χ3944-4-44-4-44-4-44400000000000000000000000000000000000022−22
χ4044-4-44-4-44-4-444000000000000000000000000000000000000−2222
χ414-44-4-4-4444-44-400004-44-4000000000000000000000000000000
χ424-44-4-4-4444-44-40000-44-44000000000000000000000000000000
χ434-44-4-4-444-44-4400004-4-44000000000000000000000000000000
χ444-44-4-4-444-44-440000-444-4000000000000000000000000000000
χ454-4-44-44-444-4-440000000000000000000000000000000022−220000
χ464-4-44-44-444-4-4400000000000000000000000000000000−22220000
χ474-4-44-44-44-444-400000000000000000000000000000022−22000000
χ484-4-44-44-44-444-4000000000000000000000000000000−2222000000
χ498-8888-8-8-8000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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