Finite Group Databasebeta

← Group #177727

Character table — Group #177727

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442244444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-1-1-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-111-1-111-111-1-1-1-1-111111-1-1-1-11111-1-1
χ61111111111111111-1-111-1-111-111-1-1-1-1-11-1-1-1-11111-1-1-1-111
χ71111111111111111-1-111-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ9111111111-1-11111111-1-1-1-1-11-11-111-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-11111111-1-1-1-1-11-11-111-1-11-1-1-111-1-111-1-111-11
χ11111111111-1-11111111-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-111-11
χ12111111111-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-111-1111-1-1-111-1-111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-111-1111-1-1-111-1-1-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-111-1-11-1111-1-1-1111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-111-1-11-1111-1-1-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-22220-2000000-2000000000000000
χ1822222222222-2-2-2-22-2-2-2-2-2-22020000002000000000000000
χ19222222222-2-2-2-2-2-222222-2-2-202000000-2000000000000000
χ20222222222-2-2-2-2-2-22-2-22222-20-20000002000000000000000
χ2122222222-22222-2-2-200-2200-220-2-200000200000000000000
χ2222222222-22222-2-2-200-2200-2-202200000-200000000000000
χ2322222222-222-2-222-2002-200-200002-22-20000000000000000
χ2422222222-222-2-222-2002-200-20000-22-220000000000000000
χ2522222222-2-2-222-2-2-2002-200220-2200000-200000000000000
χ2622222222-2-2-222-2-2-2002-2002-202-200000200000000000000
χ2722222222-2-2-2-2-222-200-2200200002-2-220000000000000000
χ2822222222-2-2-2-2-222-200-220020000-222-20000000000000000
χ29444-4-4-4-440004-400000000000000000000002i2−2i20000000000
χ30444-4-4-4-440004-40000000000000000000000−2i22i20000000000
χ31444-4-4-4-44000-44000000000000000000002i2−2i2000000000000
χ32444-4-4-4-44000-4400000000000000000000−2i22i2000000000000
χ3344-444-4-4-44000000-44-400000000000000000000000000000
χ3444-444-4-4-44000000-4-4400000000000000000000000000000
χ3544-444-4-4-4-4000000400004i−4i0000000000000000000000000
χ3644-444-4-4-4-400000040000−4i4i0000000000000000000000000
χ374-4-44-44-4404-40000000000000000000000000000002-22-200
χ384-4-44-44-4404-4000000000000000000000000000000-22-2200
χ394-4-44-44-440-440000000000000000000000000000002-2-2200
χ404-4-44-44-440-44000000000000000000000000000000-222-200
χ414-4-4-44-444000004-4000000000000000000000022−2200000000
χ424-4-4-44-444000004-40000000000000000000000−222200000000
χ434-4-4-44-44400000-4400000000000000000000000022−22000000
χ444-4-4-44-44400000-44000000000000000000000000−2222000000
χ4588-8-8-888-8000000000000000000000000000000000000000
χ468-888-8-88-8000000000000000000000000000000000000000
χ478-88-888-8-8000000000000000000000000000000000000000

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