Finite Group Databasebeta

← Group #72306872

Character table — Group #72306872

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size112224444448888881616161616161616161616161616161616323232323232323232646464646464
order1222222444422224422244444444448888444448888444488
χ11111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-1111111111-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111111111111-1-11-1-11111111-1-1-1-1111-1-111-1-1-1-111-1-1
χ6111111111111111111-1-11-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ7111111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-111
χ8111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11111-1-1
χ911111-1-1-1-111111111-11-1-11-11111-1-1-111-1-1-1-111-11-11-11-11-11-1
χ1011111-1-1-1-111111111-11-1-11-111-1-111-1-1-111-1-11-11-111-11-1-11-11
χ1111111-1-1-1-111111111-11-1-11-1-1-111-1-1-111-1-111-11-11-11-1-11-11-11
χ1211111-1-1-1-111111111-11-1-11-1-1-1-1-111-1-1-11111-1-11-111-1-111-11-1
χ1311111-1-1-1-111111111-1-11-1-111111-1-1-1-1-111-1-11-111-1-11-111-1-11
χ1411111-1-1-1-111111111-1-11-1-1111-1-111-111-1-1-1-111-1-11-11-11-111-1
χ1511111-1-1-1-111111111-1-11-1-11-1-111-1-1-1-1-11111-1-111-1-111-1-111-1
χ1611111-1-1-1-111111111-1-11-1-11-1-1-1-111-111-1-111-11-1-11-111-11-1-11
χ172222222222222-2-2-2-2222-222000000-200000000000-2-2000000
χ182222222222222-2-2-2-22-2-2-2-2-2000000-20000000000022000000
χ1922222222222-2-222-2-2-200200002222-2000000000-2-200000000
χ2022222222222-2-222-2-2-20020000-2-2-2-2-20000000002200000000
χ2122222222222-2-2-2-222-200-20000000022222000-2-20000000000
χ2222222222222-2-2-2-222-200-2000000002-2-2-2-2000220000000000
χ2322222-2-2-2-22222-2-2-2-2-22-222-2000000200000000000-22000000
χ2422222-2-2-2-22222-2-2-2-2-2-222-220000002000000000002-2000000
χ2522222-2-2-2-222-2-222-2-2200-2000022-2-22000000000-2200000000
χ2622222-2-2-2-222-2-222-2-2200-20000-2-22220000000002-200000000
χ2722222-2-2-2-222-2-2-2-222200200000000-222-2-2000-220000000000
χ2822222-2-2-2-222-2-2-2-222200200000000-2-2-2220002-20000000000
χ294444444-4-4-4-4000000000000220000000002-2-2000000000000
χ304444444-4-4-4-4000000000000-2-2000000000-222000000000000
χ3144444-4-444-4-400000000000022000000000-22-2000000000000
χ3244444-4-444-4-4000000000000-2-20000000002-22000000000000
χ33444-4-44-400000000000220-2-2002i−2i2i−2i02i−2i2i−2i000000000000000
χ34444-4-44-400000000000220-2-200−2i2i−2i2i0−2i2i−2i2i000000000000000
χ35444-4-44-400000000000-2-2022002i−2i2i−2i0−2i2i−2i2i000000000000000
χ36444-4-44-400000000000-2-202200−2i2i−2i2i02i−2i2i−2i000000000000000
χ37444-4-4-44000000000002-20-22002i−2i−2i2i02i−2i−2i2i000000000000000
χ38444-4-4-44000000000002-20-2200−2i2i2i−2i0−2i2i2i−2i000000000000000
χ39444-4-4-4400000000000-2202-2002i−2i−2i2i0−2i2i2i−2i000000000000000
χ40444-4-4-4400000000000-2202-200−2i2i2i−2i02i−2i−2i2i000000000000000
χ4144-4-440000-444-44-44-400000000000000000000000000000000
χ4244-4-440000-444-4-44-4400000000000000000000000000000000
χ4344-4-440000-44-444-4-4400000000000000000000000000000000
χ4444-4-440000-44-44-444-400000000000000000000000000000000
χ4588-88-8008-80000000000000000000000000000000000000000
χ4688-88-800-880000000000000000000000000000000000000000
χ4788-8-8800008-800000000000000000000000000000000000000
χ4816-160000000000000000000004i−4i000000000000000000000000
χ4916-16000000000000000000000−4i4i000000000000000000000000

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