Finite Group Databasebeta

← Group #72306897

Character table — Group #72306897

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1124444488888888888161616161616161616161616161616161616161616323232323232646464646464
order122244442244488888822222244444444888888844888844441616
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-1111-111111-11111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111-1-1-1-1111-1-1-1111-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111-1-1-1-111111111-111111-111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111
χ611111111-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1
χ711111111-1-1-1-11-1-1-1-1111111111111-1-1111-1-11111-1-1-1-111-1-111-1-1
χ811111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111
χ9111-1-111111-1-1-1111111-1-11-111-111-11-11-1-1-1-111-1-11-11-11-11-11-11-1
χ10111-1-111111-1-1-1111111-1-1-1111-11-111-11-1-1-1-111-1-11-11-1-11-11-11-11
χ11111-1-111111-1-1-1-1-1-1-111-111-111-1-11-11-1-11-111-1-111-111-11-11-1-11-11
χ12111-1-111111-1-1-1-1-1-1-111-11-1111-1-1-111-1-11-111-1-111-111-1-11-111-11-1
χ13111-1-1111-1-111-1111111-111-111-1-11-1-11-11-1-1-1-1-1111-1-111-1-11-111-1
χ14111-1-1111-1-111-1111111-11-1111-1-1-11-11-11-1-1-1-1-1111-1-11-111-11-1-11
χ15111-1-1111-1-111-1-1-1-1-111-1-11-111-111-1-111-1-11111-1-1-11-111-1-111-1-11
χ16111-1-1111-1-111-1-1-1-1-111-1-1-1111-11-11-111-1-11111-1-1-11-11-111-1-111-1
χ1722222222000020000-2-222002-2-22000022-200-2-2-2-2000000000000
χ1822222222000020000-2-22-2002-2-2-20000-2-2-2002222000000000000
χ192222222200002222222-2000-2-2-200000002220000-2-20000000000
χ202222222200002-2-2-2-222-2000-2-2-200000002-2-20000220000000000
χ2122222222222220000-2-2-2000-2220002200-200000000-2-200000000
χ2222222222-2-2-2-220000-2-2-2000-222000-2-200-2000000002200000000
χ23222-2-22220000-20000-2-2-22002-22-20000-2220022-2-2000000000000
χ24222-2-22220000-20000-2-2-2-2002-22200002-2200-2-222000000000000
χ25222-2-22220000-22222222000-2-220000000-2-2-20000-220000000000
χ26222-2-22220000-2-2-2-2-2222000-2-220000000-22200002-20000000000
χ27222-2-222222-2-2-20000-2-22000-22-20002-200200000000-2200000000
χ28222-2-2222-2-222-20000-2-22000-22-2000-22002000000002-200000000
χ29444444-4-40000-40000000022000022000000000000000-2-2000000
χ30444444-4-40000-400000000-2-20000-2-200000000000000022000000
χ314444-4-40022-2-2022-2-2000200000200-22-2-202-20000000000000000
χ324444-4-40022-2-20-2-222000-200000-200-22220-220000000000000000
χ334444-4-400-2-222022-2-2000-200000-2002-22202-20000000000000000
χ344444-4-400-2-2220-2-2220002000002002-2-2-20-220000000000000000
χ35444-44-4002222022-2-2000-200000200-2-2-220-220000000000000000
χ36444-44-40022220-2-222000200000-200-2-22-202-20000000000000000
χ37444-44-400-2-2-2-2022-2-2000200000-200222-20-220000000000000000
χ38444-44-400-2-2-2-20-2-222000-20000020022-2202-20000000000000000
χ39444-4-44-4-400004000000002-200002-2000000000000000-22000000
χ40444-4-44-4-40000400000000-220000-220000000000000002-2000000
χ4188-8000000000000004-4000400000-400000000000000000000000
χ4288-8000000000000004-4000-400000400000000000000000000000
χ4388-800000000000000-4400400000-4000000000000000000000000
χ4488-800000000000000-4400-4000004000000000000000000000000
χ458-800004-4004i−4i02i2−2i22i2−2i200000000000000000000022−22000000000000
χ468-800004-4004i−4i0−2i22i2−2i22i2000000000000000000000−2222000000000000
χ478-800004-400−4i4i02i2−2i22i2−2i2000000000000000000000−2222000000000000
χ488-800004-400−4i4i0−2i22i2−2i22i200000000000000000000022−22000000000000
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).