Finite Group Databasebeta

← Group #254069

Character table — Group #254069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222244444444444444444444444424444444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111111-1-11111-1-111-1-1-1-1-11111-11-1-1-1-1-11111-1-1
χ6111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111-1111111-1-111111-1-1-1-1-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-1-1-1111111
χ911111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1111-1-111-1-11-1
χ1011111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11-1-111-1-111-11
χ1111111111111111-1-1-1-111-1-1-1-1-1-111-1-111111-1-1-11-1-1-111-1-1111-1
χ1211111111111111-1-1-1-111-1-1-1-1-1-111-1-1111-1-111-11-111-1-111-1-1-11
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-11-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1111-1-111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-111111-1-1-1-111-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-11111-1-11-1
χ172222222222-2-2-2-222-2-2220000-2-20000-20000002000000000000
χ182222222222-2-2-2-222-2-2-2-200002200002000000-2000000000000
χ192222222222-2-2-2-2-2-222220000220000-2000000-2000000000000
χ202222222222-2-2-2-2-2-222-2-20000-2-2000020000002000000000000
χ21222222-2-2-2-22-2-222-22-20022-2-200220000000000-200000000000
χ22222222-2-2-2-22-2-222-22-200-2-22200-2-20000000000200000000000
χ23222222-2-2-2-22-2-22-22-220022-2-200-2-20000000000200000000000
χ24222222-2-2-2-22-2-22-22-2200-2-22200220000000000-200000000000
χ25222222-2-2-2-2-222-22-2-2200000000002202-2000000-20000000000
χ26222222-2-2-2-2-222-22-2-220000000000-2-20-2200000020000000000
χ27222222-2-2-2-2-222-2-222-20000000000220-22000000-20000000000
χ28222222-2-2-2-2-222-2-222-20000000000-2-202-200000020000000000
χ292222-2-22-22-222-2-20000002i−2i2i−2i000000000002-20000000002i−2i00
χ302222-2-22-22-222-2-20000002i−2i2i−2i00000000000-22000000000−2i2i00
χ312222-2-22-22-222-2-2000000−2i2i−2i2i000000000002-2000000000−2i2i00
χ322222-2-22-22-222-2-2000000−2i2i−2i2i00000000000-220000000002i−2i00
χ332222-2-2-22-222-22-20000002i−2i−2i2i0000000002-20000000002i−2i0000
χ342222-2-2-22-222-22-20000002i−2i−2i2i000000000-22000000000−2i2i0000
χ352222-2-2-22-222-22-2000000−2i2i2i−2i0000000002-2000000000−2i2i0000
χ362222-2-2-22-222-22-2000000−2i2i2i−2i000000000-220000000002i−2i0000
χ374444-4-44-44-4-4-444000000000000000000000000000000000000
χ384444-4-4-44-44-44-44000000000000000000000000000000000000
χ3944-4-44-44-4-4400000000000000000000000000000022−2200000000
χ4044-4-44-44-4-44000000000000000000000000000000−222200000000
χ4144-4-44-4-444-40000000000000000000000000000000022−22000000
χ4244-4-44-4-444-400000000000000000000000000000000−2222000000
χ4344-4-4-4444-4-4000000000000004-4000000000000000000000000
χ4444-4-4-4444-4-400000000000000-44000000000000000000000000
χ4544-4-4-44-4-444000000004i−4i000000000000000000000000000000
χ4644-4-4-44-4-44400000000−4i4i000000000000000000000000000000
χ478-88-80000000000000000000000004i−4i00000000000000000000
χ488-88-8000000000000000000000000−4i4i00000000000000000000
χ498-8-8800000000000000000000004i−4i0000000000000000000000
χ508-8-880000000000000000000000−4i4i0000000000000000000000

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