Finite Group Databasebeta

← Group #72306771

Character table — Group #72306771

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1124444488888888888161616161616161616161616161616161616161616323232323232646464646464
order122244442222488888822222444444444888888844888844881616
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1111-1-11111111111111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111-1-1-1-11111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ611111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ711111111-1-1-1-11-1-1-1-111111111111-1-11111-1-11111-1-1-1-111-1-111-1-1
χ811111111-1-1-1-11-1-1-1-11111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ9111-1-111111-1-1-1111111-1-11-111-11-11-11-11-1-1-111-1-1-111-11-11-11-11-1
χ10111-1-111111-1-1-1111111-1-1-1111-1-111-11-11-1-1-111-1-1-111-1-11-11-11-11
χ11111-1-111111-1-1-1-1-1-1-111-1-11-11-111-11-1-111-111-1-1111-11-11-11-1-11-11
χ12111-1-111111-1-1-1-1-1-1-111-1-1-111-11-111-1-111-111-1-1111-11-1-11-111-11-1
χ13111-1-1111-1-111-1111111-1-11-11-111-1-11-111-1-1-1-1-111-11-111-1-11-111-1
χ14111-1-1111-1-111-1111111-1-1-111-11-11-11-111-1-1-1-1-111-11-11-111-11-1-11
χ15111-1-1111-1-111-1-1-1-1-111-1-11-111-11-1-111-11-11111-1-11-1-111-1-111-1-11
χ16111-1-1111-1-111-1-1-1-1-111-1-1-1111-1-11-111-11-11111-1-11-1-11-111-1-111-1
χ1722222222000020000-2-22-200-2220000222-200-2-2-2-2000000000000
χ1822222222000020000-2-22-200-2-2-20000-2-22-2002222000000000000
χ192222222200002222222-2-200-200000000-22220000-2-20000000000
χ202222222200002-2-2-2-222-2-200-200000000-22-2-20000220000000000
χ2122222222222220000-2-2-2200200002200-2-200000000-2-200000000
χ2222222222-2-2-2-220000-2-2-220020000-2-200-2-2000000002200000000
χ23222-2-22220000-20000-2-2-2200-22-200002-22200-2-222000000000000
χ24222-2-22220000-20000-2-2-2200-2-220000-22220022-2-2000000000000
χ25222-2-22220000-22222222200-200000000-2-2-2-200002-20000000000
χ26222-2-22220000-2-2-2-2-2222200-200000000-2-2220000-220000000000
χ27222-2-222222-2-2-20000-2-22-200200002-200-2200000000-2200000000
χ28222-2-2222-2-222-20000-2-22-20020000-2200-22000000002-200000000
χ29444444-4-40000-40000000022000220000000000000000-2-2000000
χ30444444-4-40000-400000000-2-2000-2-2000000000000000022000000
χ314444-4-4002222022-2-200000002-200-2-2-22002-20000000000000000
χ324444-4-40022220-2-2220000000-2200-2-22-200-220000000000000000
χ334444-4-400-2-2-2-2022-2-20000000-2200222-2002-20000000000000000
χ344444-4-400-2-2-2-20-2-22200000002-20022-2200-220000000000000000
χ35444-44-40022-2-2022-2-200000002200-22-2-200-220000000000000000
χ36444-44-40022-2-20-2-2220000000-2-200-2222002-20000000000000000
χ37444-44-400-2-222022-2-20000000-2-2002-22200-220000000000000000
χ38444-44-400-2-2220-2-222000000022002-2-2-2002-20000000000000000
χ39444-4-44-4-400004000000002-20002-20000000000000000-22000000
χ40444-4-44-4-40000400000000-22000-2200000000000000002-2000000
χ4188-8000000000000004-400040000-4000000000000000000000000
χ4288-8000000000000004-4000-400004000000000000000000000000
χ4388-800000000000000-440040000-40000000000000000000000000
χ4488-800000000000000-4400-4000040000000000000000000000000
χ458-800004-4004-402i2−2i22i2−2i20000000000000000000002i2−2i2000000000000
χ468-800004-4004-40−2i22i2−2i22i2000000000000000000000−2i22i2000000000000
χ478-800004-400-4402i2−2i22i2−2i2000000000000000000000−2i22i2000000000000
χ488-800004-400-440−2i22i2−2i22i20000000000000000000002i2−2i2000000000000
χ498-80000-444-40002i2−2i2−2i22i200000000000000000002i2−2i200000000000000
χ508-80000-444-4000−2i22i22i2−2i20000000000000000000−2i22i200000000000000
χ518-80000-44-440002i2−2i2−2i22i20000000000000000000−2i22i200000000000000
χ528-80000-44-44000−2i22i22i2−2i200000000000000000002i2−2i200000000000000

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