Finite Group Databasebeta

← Group #72306913

Character table — Group #72306913

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1124444488888888888161616161616161616161616161616161616161616323232323232646464646464
order122244444444488888822222224444444888888844888844881616
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111-1-111111111111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111-11111-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1
χ41111111111111-1-1-1-111111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111
χ5111111111-1-1-1-111111111-1-1111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111
χ6111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ7111111111-1-1-1-1-1-1-1-11111-11111-11111111-1-11111-1-1-1-11111-1-1-1-1
χ8111111111-1-1-1-1-1-1-1-11111-11-1-11-11-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ9111-1-1111-111-1-1111111-1-11-11-11-111-11-11-1-1-111-1-1-111-11-11-11-11-1
χ10111-1-1111-111-1-1111111-1-11-1-111-11-111-11-1-1-111-1-1-111-1-11-11-11-11
χ11111-1-1111-111-1-1-1-1-1-111-1-1111-11-1-11-1-111-111-1-1111-11-11-1-111-1-11
χ12111-1-1111-111-1-1-1-1-1-111-1-111-111-1-1-11-111-111-1-1111-11-1-111-1-111-1
χ13111-1-1111-1-1-111111111-1-1-111-111-11-1-111-1-1-1-1-111-11-111-1-11-111-1
χ14111-1-1111-1-1-111111111-1-1-11-1111-1-11-111-1-1-1-1-111-11-11-111-11-1-11
χ15111-1-1111-1-1-111-1-1-1-111-1-1-1-11-11111-11-11-11111-1-11-1-111-11-1-11-11
χ16111-1-1111-1-1-111-1-1-1-111-1-1-1-1-11111-111-11-11111-1-11-1-11-11-111-11-1
χ1722222222200000000-2-22-202002020022-2-200-2-2-2-2000000000000
χ1822222222200000000-2-22-20-20020-200-2-2-2-2002222000000000000
χ192222222220000222222-2-20000-2000000-22220000-2-20000000000
χ202222222220000-2-2-2-222-2-20000-2000000-22-2-20000220000000000
χ2122222222222220000-2-2-222000-22000002-200000000-2-200000000
χ22222222222-2-2-2-20000-2-2-22-2000-2-2000002-2000000002200000000
χ23222-2-2222-200000000-2-2-22020020-200-22-220022-2-2000000000000
χ24222-2-2222-200000000-2-2-220-200202002-2-2200-2-222000000000000
χ25222-2-2222-20000222222220000-2000000-2-2-2-200002-20000000000
χ26222-2-2222-20000-2-2-2-222220000-2000000-2-2220000-220000000000
χ27222-2-2222-222-2-20000-2-22-22000-2-2000002200000000-2200000000
χ28222-2-2222-2-2-2220000-2-22-2-2000-220000022000000002-200000000
χ29444444-4-4-400000000000000220002200000000000000-2-2000000
χ30444444-4-4-400000000000000-2-2000-2-20000000000000022000000
χ314444-4-400022-2-222-2-20000-220002200-2-2002-20000000000000000
χ324444-4-400022-2-2-2-2220000-2-20002-2002200-220000000000000000
χ334444-4-4000-2-22222-2-200002-2000-2-20022002-20000000000000000
χ344444-4-4000-2-222-2-222000022000-2200-2-200-220000000000000000
χ35444-44-4000222222-2-20000-2-2000-2200-2200-220000000000000000
χ36444-44-40002222-2-2220000-22000-2-2002-2002-20000000000000000
χ37444-44-4000-2-2-2-222-2-20000220002-2002-200-220000000000000000
χ38444-44-4000-2-2-2-2-2-22200002-20002200-22002-20000000000000000
χ39444-4-44-4-44000000000000002-20002-200000000000000-22000000
χ40444-4-44-4-4400000000000000-22000-22000000000000002-2000000
χ4188-8000000000000004-40000040000-40000000000000000000000
χ4288-8000000000000004-400000-4000040000000000000000000000
χ4388-800000000000000-44000040000-400000000000000000000000
χ4488-800000000000000-440000-40000400000000000000000000000
χ458-800004-40004-42i2−2i22i2−2i20000000000000000000002i2−2i2000000000000
χ468-800004-40004-4−2i22i2−2i22i2000000000000000000000−2i22i2000000000000
χ478-800004-4000-442i2−2i22i2−2i2000000000000000000000−2i22i2000000000000
χ488-800004-4000-44−2i22i2−2i22i20000000000000000000002i2−2i2000000000000
χ498-80000-4404i−4i002i2−2i2−2i22i2000000000000000000022−2200000000000000
χ508-80000-4404i−4i00−2i22i22i2−2i20000000000000000000−222200000000000000
χ518-80000-440−4i4i002i2−2i2−2i22i20000000000000000000−222200000000000000
χ528-80000-440−4i4i00−2i22i22i2−2i2000000000000000000022−2200000000000000

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