Finite Group Databasebeta

← Group #171900

Character table — Group #171900

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-111-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-11-1-11-1-11-1-111111-1-111-1-1-1-1111111-1-1-1-1-11-1-11111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-11-1-11-1-111111-1-111-1-1-1-111-1-1-1-11111-11-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-11-1-11-1-111111-1-1-1-11111-1-11111-1-1-1-11-1-11-11-1-11111-1-1-1-111
χ1211111111-1-1-1-11-1-11-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-11-1111-1-1-1-11111-1-1
χ1311111111-1-1-1-11-1-11-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-11-11-11-111-1-1-1-111-1-111
χ1411111111-1-1-1-11-1-11-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-111111-11-11-1-1-11111-1-111-1-1
χ1511111111-1-1-1-11-1-11-1-11-1-1111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-11-1-11-1-1111-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-1-1-111
χ17222222222222222-2-2-2-2-2-22-2-200002200-2-200000000000002-20000000000000
χ18222222222222222-2-2-2-2-2-22-2-20000-2-200220000000000000-220000000000000
χ19222222222222-2-2-2222-2-2-2-22-200000022002200000000-2-20000000000000000
χ20222222222222-2-2-2222-2-2-2-22-2000000-2-200-2-200000000220000000000000000
χ21222222222222-2-2-2-2-2-2222-2-222222000000000000000000-200-2000000000000
χ22222222222222-2-2-2-2-2-2222-2-22-2-2-2-20000000000000000002002000000000000
χ2322222222-2-2-2-22-2-2-222-2222-2-200002200220000000000000-2-20000000000000
χ2422222222-2-2-2-22-2-2-222-2222-2-20000-2-200-2-20000000000000220000000000000
χ2522222222-2-2-2-2-2222-2-2-222-22-20000002200-2-200000000-220000000000000000
χ2622222222-2-2-2-2-2222-2-2-222-22-2000000-2-20022000000002-20000000000000000
χ2722222222-2-2-2-2-222-2222-2-2-2-2222-2-2000000000000000000200-2000000000000
χ2822222222-2-2-2-2-222-2222-2-2-2-22-2-222000000000000000000-2002000000000000
χ2922-22-2-22-222-2-2000-22-20000200000002i−2i002i−2ii2i2−i2−i2i2i2−i2−i2000000000000002−22−2
χ3022-22-2-22-222-2-2000-22-20000200000002i−2i002i−2i−i2−i2i2i2−i2−i2i2i200000000000000−22−22
χ3122-22-2-22-222-2-2000-22-2000020000000−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i200000000000000−22−22
χ3222-22-2-22-222-2-2000-22-2000020000000−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i2000000000000002−22−2
χ3322-22-2-22-2-2-222000-2-220000200000002i−2i00−2i2ii2i2−i2−i2−i2−i2i2i200000000000000−222−2
χ3422-22-2-22-2-2-222000-2-220000200000002i−2i00−2i2i−i2−i2i2i2i2i2−i2−i2000000000000002−2−22
χ3522-22-2-22-2-2-222000-2-22000020000000−2i2i002i−2ii2i2−i2−i2−i2−i2i2i2000000000000002−2−22
χ3622-22-2-22-2-2-222000-2-22000020000000−2i2i002i−2i−i2−i2i2i2i2i2−i2−i200000000000000−222−2
χ3722-2-22-2-222-22-200000022-200-22i−2i2i−2i00000000i2−i2i2−i2i2−i2i2−i200000000002−22−20000
χ3822-2-22-2-222-22-200000022-200-22i−2i2i−2i00000000−i2i2−i2i2−i2i2−i2i20000000000−22−220000
χ3922-2-22-2-222-22-200000022-200-2−2i2i−2i2i00000000i2−i2i2−i2i2−i2i2−i20000000000−22−220000
χ4022-2-22-2-222-22-200000022-200-2−2i2i−2i2i00000000−i2i2−i2i2−i2i2−i2i200000000002−22−20000
χ4122-2-22-2-22-22-220000002-2200-22i−2i−2i2i00000000i2−i2i2−i2−i2i2−i2i200000000002−2−220000
χ4222-2-22-2-22-22-220000002-2200-22i−2i−2i2i00000000−i2i2−i2i2i2−i2i2−i20000000000−222−20000
χ4322-2-22-2-22-22-220000002-2200-2−2i2i2i−2i00000000i2−i2i2−i2−i2i2−i2i20000000000−222−20000
χ4422-2-22-2-22-22-220000002-2200-2−2i2i2i−2i00000000−i2i2−i2i2i2−i2i2−i200000000002−2−220000
χ45444-4-44-4-44-4-440000000000000000000000002-2-222-2-22000000000000000000
χ46444-4-44-4-44-4-44000000000000000000000000-222-2-222-2000000000000000000
χ47444-4-44-4-4-444-40000000000000000000000002-2-22-222-2000000000000000000
χ48444-4-44-4-4-444-4000000000000000000000000-222-22-2-22000000000000000000
χ4944-44-4-44-444-4-40004-440000-4000000000000000000000000000000000000000
χ5044-44-4-44-4-4-44400044-40000-4000000000000000000000000000000000000000
χ5144-4-44-4-444-44-4000000-4-4400400000000000000000000000000000000000000
χ5244-4-44-4-44-44-44000000-44-400400000000000000000000000000000000000000
χ534-4-4444-4-40000400000000-40000004-400000000000000000000000000000000
χ544-4-4444-4-40000400000000-4000000-4400000000000000000000000000000000
χ554-4-4444-4-40000-400000000400000000004i−4i0000000000000000000000000000
χ564-4-4444-4-40000-40000000040000000000−4i4i0000000000000000000000000000
χ574-4-4-4-4444000004-4000000000000000000000000000000000002-22-200000000
χ584-4-4-4-4444000004-400000000000000000000000000000000000-22-2200000000
χ594-4-4-4-444400000-44000000000000000000000000000000000002-2-2200000000
χ604-4-4-4-444400000-4400000000000000000000000000000000000-222-200000000
χ618-888-8-8-88000000000000000000000000000000000000000000000000000000
χ628-88-88-88-8000000000000000000000000000000000000000000000000000000

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