Finite Group Databasebeta

← Group #152671

Character table — Group #152671

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size11222444444888888888888161616161616161616161616323232323232
order12244244444222444448888222488888888444888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111
χ5111111111-1-111-11-1-1-1-1ii−i−i1-11111iii−i−i−i-1i−i-1i−i
χ6111111111-1-111-11-1-1-1-1ii−i−i1-1-1-1-1-1iii−i−i−i1−ii1−ii
χ7111111111-1-111-11-1-1-1-1−i−iii1-11111−i−i−iiii-1−ii-1−ii
χ8111111111-1-111-11-1-1-1-1−i−iii1-1-1-1-1-1−i−i−iiii1i−i1i−i
χ9111111-1-11111-1111-1-111111-1-111-1-11-1-11-1-1-1-1-1111
χ10111111-1-11111-1111-1-111111-1-1-1-1111-1-11-1-1111-1-1-1
χ11111111-1-11111-1111-1-11-1-1-1-1-1-111-1-1-111-111-1111-1-1
χ12111111-1-11111-1111-1-11-1-1-1-1-1-1-1-111-111-1111-1-1-111
χ13111111-1-11-1-11-1-11-111-1ii−i−i-1111-1-1i−i−i−iii1−ii-1i−i
χ14111111-1-11-1-11-1-11-111-1ii−i−i-11-1-111i−i−i−iii-1i−i1−ii
χ15111111-1-11-1-11-1-11-111-1−i−iii-1111-1-1−iiii−i−i1i−i-1−ii
χ16111111-1-11-1-11-1-11-111-1−i−iii-11-1-111−iiii−i−i-1−ii1i−i
χ1722222222222-22-2-2222-20000-2-20000000000000000
χ18222222222-2-2-222-2-2-2-220000-220000000000000000
χ19222222-2-2222-2-2-2-22-2-2-20000220000000000000000
χ20222222-2-22-2-2-2-22-2-222200002-20000000000000000
χ21222-2-2-200222202-2-200-2000000000002-202-2000000
χ22222-2-2-200222202-2-200-200000000000-220-22000000
χ23222-2-2-200222-20-22-20022222000000-200-200000000
χ24222-2-2-200222-20-22-2002-2-2-2-2000000200200000000
χ25222-2-2-2002-2-220-2-22002000000000002i−2i0−2i2i000000
χ26222-2-2-2002-2-220-2-2200200000000000−2i2i02i−2i000000
χ27222-2-2-2002-2-2-2022200-22i2i−2i−2i000000−2i002i00000000
χ28222-2-2-2002-2-2-2022200-2−2i−2i2i2i0000002i00−2i00000000
χ2944444-444-4000-40000000000000000000000000000
χ3044444-4-4-4-400040000000000000000000000000000
χ31444-4-4400-400000004-400000000000000000000000
χ32444-4-4400-40000000-4400000000000000000000000
χ3344-4-4404-4000000000000000002-22-2000000000000
χ3444-4-4404-400000000000000000-22-22000000000000
χ3544-4-440-44000000000000000002-2-22000000000000
χ3644-4-440-4400000000000000000-222-2000000000000
χ3788-88-8000000000000000000000000000000000000
χ388-800000004-4000000002i2−2i22i2−2i2000000000000000000
χ398-800000004-400000000−2i22i2−2i22i2000000000000000000
χ408-80000000-440000000022−22−2222000000000000000000
χ418-80000000-4400000000−222222−22000000000000000000

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