Finite Group Databasebeta

← Group #178908

Character table — Group #178908

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ9111111111-1-111111-1-1-111-1-1111-11-1-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-1-111-1-1111-11-1-1-11-1-1-111-1-111-1-111-11
χ11111111111-1-111111-1-1-111-1-1-1-1-111-111-1111-1-1-1-11111-1-1-11
χ12111111111-1-111111-1-1-111-1-1-1-1-111-111-11-1-11111-1-1-1-1111-1
χ13111111111-1-111111-1-1-1-1-11111-11-11-1-1-1111-1-1-1-111-1-1111-1
χ14111111111-1-111111-1-1-1-1-11111-11-11-1-1-11-1-11111-1-111-1-1-11
χ15111111111-1-111111-1-1-1-1-111-1-11-1-11111-111-1-111-1-1-1-111-11
χ16111111111-1-111111-1-1-1-1-111-1-11-1-11111-1-1-111-1-11111-1-11-1
χ1722222222222-2-2-2-222-2-2000000220000-2-200000000000000
χ1822222222222-2-2-2-222-2-2000000-2-200002200000000000000
χ19222222222-2-2-2-2-2-22-2220000002-20000-2200000000000000
χ20222222222-2-2-2-2-2-22-222000000-2200002-200000000000000
χ2122222222-22222-2-2-2-22-200002-200002-20000000000000000
χ2222222222-22222-2-2-2-22-20000-220000-220000000000000000
χ2322222222-222-2-222-2-2-2222-2-20000-22000000000000000000
χ2422222222-222-2-222-2-2-22-2-22200002-2000000000000000000
χ2522222222-2-2-222-2-2-22-2200002-20000-220000000000000000
χ2622222222-2-2-222-2-2-22-220000-2200002-20000000000000000
χ2722222222-2-2-2-2-222-222-222220000-2-2000000000000000000
χ2822222222-2-2-2-2-222-222-2-2-2-2-2000022000000000000000000
χ29444-44-4-4-44000000-4000000000000000000022−220000000000
χ30444-44-4-4-44000000-40000000000000000000−22220000000000
χ31444-44-4-4-4-40000004000000000000000002i2−2i2000000000000
χ32444-44-4-4-4-4000000400000000000000000−2i22i2000000000000
χ3344-4-4-444-404i−4i0000000000000000000000000000002-22i−2i00
χ3444-4-4-444-404i−4i000000000000000000000000000000-22−2i2i00
χ3544-4-4-444-40−4i4i0000000000000000000000000000002-2−2i2i00
χ3644-4-4-444-40−4i4i000000000000000000000000000000-222i−2i00
χ374-44-4-44-44000004-40000004i−4i000000000000000000000000
χ384-44-4-44-44000004-4000000−4i4i000000000000000000000000
χ394-44-4-44-4400000-4400004i−4i00000000000000000000000000
χ404-44-4-44-4400000-440000−4i4i00000000000000000000000000
χ414-4-4444-4-40004-40000000000000000000000002i2−2i200000000
χ424-4-4444-4-40004-4000000000000000000000000−2i22i200000000
χ434-4-4444-4-4000-44000000000000000000000000002i2−2i2000000
χ444-4-4444-4-4000-4400000000000000000000000000−2i22i2000000
χ4588-88-8-8-88000000000000000000000000000000000000000
χ468-888-8-88-8000000000000000000000000000000000000000
χ478-8-8-88-888000000000000000000000000000000000000000

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