Finite Group Databasebeta

← Group #176132

Character table — Group #176132

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1-1111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-1-11-1-1-11-1111-11-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-11-1-11-1-1-11-11-1-1-11-1-1-111111111-1-1-1-1
χ71111111111111111111-1-11-1-1-111-1-11-111-1-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111-1-11-1-1-111-1-11-1-1-1-1-11-1-1-1-1-1-111111111
χ9111111111-1-1-1-111111-111-1-1-111-1-111-1111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-111-1-1-111-1-111-1-1-11-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-111111-111-1-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111-1-1-1-111111-111-1-1-1-1-11-1-1-11-1-11111111-1-1-1-11111-1-1
χ13111111111-1-1-1-111111-1-1-1-1111-1111-1-111-1-11-1-1-1-111-1-11111-1-1
χ14111111111-1-1-1-111111-1-1-1-1111-1111-1-1-1-1-1-111111-1-111-1-1-1-111
χ15111111111-1-1-1-111111-1-1-1-111-11-11-11111-11-1-1-111-1-1-1-111-1-111
χ16111111111-1-1-1-111111-1-1-1-111-11-11-111-1-1-11-111-1-11111-1-111-1-1
χ1722222222222-2-2-2-2-22-2-222222000-200000-20000000000000000
χ1822222222222-2-2-2-2-22-2-2-2-22-2-200020000020000000000000000
χ19222222222-2-222-2-2-22-2222-2-2-2000200000-20000000000000000
χ20222222222-2-222-2-2-22-22-2-2-222000-20000020000000000000000
χ2122222222-22222-222-2-2-200-20002200-200000-200000000000000
χ2222222222-22222-222-2-2-200-2000-2-200200000200000000000000
χ2322222222-222-2-22-2-2-22200-2002000-202000-2000000000000000
χ2422222222-222-2-22-2-2-22200-200-200020-20002000000000000000
χ2522222222-2-2-2222-2-2-22-2002002000-20-20002000000000000000
χ2622222222-2-2-2222-2-2-22-200200-2000202000-2000000000000000
χ2722222222-2-2-2-2-2-222-2-220020002-200-200000200000000000000
χ2822222222-2-2-2-2-2-222-2-22002000-2200200000-200000000000000
χ29444-44-4-4-40000004-40000000000000000000000000022−22000000
χ30444-44-4-4-40000004-400000000000000000000000000−2222000000
χ31444-44-4-4-4000000-44000000000000000000000000000022−220000
χ32444-44-4-4-4000000-440000000000000000000000000000−22220000
χ3344-44-4-4-4404i−4i000000000000000000002i−2i0002-2000000000000
χ3444-44-4-4-4404i−4i00000000000000000000−2i2i000-22000000000000
χ3544-44-4-4-440−4i4i000000000000000000002i−2i000-22000000000000
χ3644-44-4-4-440−4i4i00000000000000000000−2i2i0002-2000000000000
χ374-44-4-44-44000004000-400000000000000000000002i2−2i200000000
χ384-44-4-44-44000004000-40000000000000000000000−2i22i200000000
χ394-44-4-44-4400000-400040000000000000000000022−220000000000
χ404-44-4-44-4400000-4000400000000000000000000−22220000000000
χ414-4-4444-4-440000000-4004-400000000000000000000000000000
χ424-4-4444-4-440000000-400-4400000000000000000000000000000
χ434-4-4444-4-4-400000004000004i−4i00000000000000000000000000
χ444-4-4444-4-4-40000000400000−4i4i00000000000000000000000000
χ454-4-4-44-4440004-40000000000000000000000000000000002-22-2
χ464-4-4-44-4440004-4000000000000000000000000000000000-22-22
χ474-4-4-44-444000-440000000000000000000000000000000002-2-22
χ484-4-4-44-444000-44000000000000000000000000000000000-222-2
χ4988-8-8-888-8000000000000000000000000000000000000000000
χ508-888-8-88-8000000000000000000000000000000000000000000

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