Finite Group Databasebeta

← Group #143963

Character table — Group #143963

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1122222222222444444448888888881616161616161616161616161616161632323232
order1222244448888448888884161616161616161624881616161616161616161616162224
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11
χ922222222222-2-2-2-2-2-222-22-22222-2-2-2-200000000000000000000
χ1022222222222-2-2-2-2-2-222-22-2-2-2-2-2222200000000000000000000
χ11222222222-2-222-2-222-2-22-2-20000000022-2-20000000000000000
χ12222222222-2-222-2-222-2-22-2-200000000-2-2220000000000000000
χ13222222222-2-2-2-222-2-2-2-2-2-2200000000000000002i2i−2i−2i00000000
χ14222222222-2-2-2-222-2-2-2-2-2-220000000000000000−2i−2i2i2i00000000
χ15222-2-22-22-2002200-2-20020022−2−222−2−22-20000002−22−200000000
χ16222-2-22-22-2002200-2-20020022−2−222−2−2-22000000−22−2200000000
χ17222-2-22-22-2002200-2-200200−2−222−2−2222-2000000−22−2200000000
χ18222-2-22-22-2002200-2-200200−2−222−2−222-220000002−22−200000000
χ19222-2-22-22-200-2-2002200-20022−2−2−2−222002i−2i0000i2−i2−i2i200000000
χ20222-2-22-22-200-2-2002200-20022−2−2−2−22200−2i2i0000−i2i2i2−i200000000
χ21222-2-22-22-200-2-2002200-200−2−22222−2−2002i−2i0000−i2i2i2−i200000000
χ22222-2-22-22-200-2-2002200-200−2−22222−2−200−2i2i0000i2−i2−i2i200000000
χ23222-2-2-22-22-2-2000000-2202000002-22-2000022−2−2000022−2−20000
χ24222-2-2-22-22-2-2000000-2202000002-22-20000−2−2220000−2−2220000
χ25222-2-2-22-22-2-2000000-220200000-22-22000022−2−20000−2−2220000
χ26222-2-2-22-22-2-2000000-220200000-22-220000−2−222000022−2−20000
χ2722-22-22-2-2222000000-2-20202-22-2000000002−22−200002−22−20000
χ2822-22-22-2-2222000000-2-20202-22-200000000−22−220000−22−220000
χ2922-22-22-2-2222000000-2-2020-22-22000000002−22−20000−22−220000
χ3022-22-22-2-2222000000-2-2020-22-2200000000−22−2200002−22−20000
χ3122-2-22-2-2222222222-2-22-2-2-2000000000000000000000000200-2
χ3222-2-22-2-2222222222-2-22-2-2-2000000000000000000000000-2002
χ3322-2-22-2-22222-2-2-2-2-22-222-2200000000000000000000000002-20
χ3422-2-22-2-22222-2-2-2-2-22-222-220000000000000000000000000-220
χ3522-2-22-2-222-2-222-2-22-22-2-2220000000000002-2-22000000000000
χ3622-2-22-2-222-2-222-2-22-22-2-222000000000000-222-2000000000000
χ3722-2-22-2-222-2-2-2-222-222-222-2000000000000000000002-2-220000
χ3822-2-22-2-222-2-2-2-222-222-222-200000000000000000000-222-20000
χ3944444-4-4-4-40000000000000000022−22−222200000000000000000000
χ4044444-4-4-4-400000000000000000−222222−2200000000000000000000
χ41444-4-4-44-44440000004-40-400000000000000000000000000000
χ4244-44-44-4-44-4-4000000440-400000000000000000000000000000
χ4344-44-4-444-4004400-4400-4000000000000000000000000000000
χ4444-44-4-444-400-4-4004-4004000000000000000000000000000000
χ4544-4-4444-4-4000000000000022−22−2222000000000000000000000000
χ4644-4-4444-4-40000000000000−222222−22000000000000000000000000
χ478-8000000042−4242−424-400000000000000000000000000000000000
χ488-8000000042−42−4242-4400000000000000000000000000000000000
χ498-80000000−424242−42-4400000000000000000000000000000000000
χ508-80000000−4242−42424-400000000000000000000000000000000000

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