Finite Group Databasebeta

← Group #486702

Character table — Group #486702

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11222444444448888888161616161616161616161616161616161616161616163232
order1224422244488244488824444444888888161616161616161644
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ81111111111111-1-1-1-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111
χ911111-1-111-1-1-1-111-1-1-1111-11-11-11-1-1111-1-111-1-111-1-11-1
χ1011111-1-111-1-1-1-111-1-1-1111-11-11-11-1-11-1-111-1-111-1-111-11
χ1111111-1-111-1-1-1-111-1-1-111-11-11-11-11-1111-1-1-1-111-1-1111-1
χ1211111-1-111-1-1-1-111-1-1-111-11-11-11-11-11-1-11111-1-111-1-1-11
χ1311111-1-111-1-1-1-1-1-111-1111-1-111-1-111-111-1-111-1-1-1-111-11
χ1411111-1-111-1-1-1-1-1-111-1111-1-111-1-111-1-1-111-1-11111-1-11-1
χ1511111-1-111-1-1-1-1-1-111-111-111-1-111-11-111-1-1-1-11111-1-1-11
χ1611111-1-111-1-1-1-1-1-111-111-111-1-111-11-1-1-11111-1-1-1-1111-1
χ1722222222222-2-22222-2-2-200000000-2-200000000000000
χ1822222222222-2-2-2-2-2-2-2-2-2000000002200000000000000
χ19222222-2-2-22-2220000-22-2002200-2-20000000000000000
χ20222222-2-2-22-2220000-22-200-2-200220000000000000000
χ21222222-2-2-22-2-2-200002-222-200-22000000000000000000
χ22222222-2-2-22-2-2-200002-22-22002-2000000000000000000
χ2322222-22-2-2-22220000-2-222200-2-2000000000000000000
χ2422222-22-2-2-22220000-2-22-2-20022000000000000000000
χ2522222-22-2-2-22-2-2000022-2002-200-220000000000000000
χ2622222-22-2-2-22-2-2000022-200-22002-20000000000000000
χ2722222-2-222-2-22222-2-22-2-2000000002-200000000000000
χ2822222-2-222-2-222-2-2222-2-200000000-2200000000000000
χ29222-2-222-22-2-2002-22-200000000000000000i2−i2i2−i2i2−i2i2−i200
χ30222-2-222-22-2-2002-22-200000000000000000−i2i2−i2i2−i2i2−i2i200
χ31222-2-222-22-2-200-22-2200000000000000000i2−i2i2−i2−i2i2−i2i200
χ32222-2-222-22-2-200-22-2200000000000000000−i2i2−i2i2i2−i2i2−i200
χ33222-2-2-2-2-2222002-2-2200000000000000000i2−i2−i2i2i2−i2−i2i200
χ34222-2-2-2-2-2222002-2-2200000000000000000−i2i2i2−i2−i2i2i2−i200
χ35222-2-2-2-2-222200-222-200000000000000000i2−i2−i2i2−i2i2i2−i200
χ36222-2-2-2-2-222200-222-200000000000000000−i2i2i2−i2i2−i2−i2i200
χ37444-4-44-44-4-44000000000000000000000000000000000
χ38444-4-4-444-44-4000000000000000000000000000000000
χ3944-44-40000004-4000000000000000002i−2i2i−2i0000000000
χ4044-44-40000004-400000000000000000−2i2i−2i2i0000000000
χ4144-44-4000000-44000000000000000002i−2i−2i2i0000000000
χ4244-44-4000000-4400000000000000000−2i2i2i−2i0000000000
χ4388-8-88000000000000000000000000000000000000000
χ4416-16000000000000000000000000000000000000000000

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