Finite Group Databasebeta

← Group #139656

Character table — Group #139656

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222244444488888888888888816161616161616161616323232323232
order12222222224444444444444444444442444444444888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-111-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ911111-11-1-1-111-1-1-1-1-11111-1-1ii−i−iii−i−i1-111-1-1i−ii−i1-1i−ii−i
χ1011111-11-1-1-111-1-1-1-1-11111-1-1ii−i−iii−i−i-11-11-11i−ii−i-11−ii−ii
χ1111111-11-1-1-111-1-1-1-1-11111-1-1−i−iii−i−iii1-111-1-1−ii−ii1-1−ii−ii
χ1211111-11-1-1-111-1-1-1-1-11111-1-1−i−iii−i−iii-11-11-11−ii−ii-11i−ii−i
χ1311111-11-1-1-111-1-1-1-1-111-1-111ii−i−i−i−iii1-11-11-1i−i−ii-11i−i−ii
χ1411111-11-1-1-111-1-1-1-1-111-1-111ii−i−i−i−iii-11-1-111i−i−ii1-1−iii−i
χ1511111-11-1-1-111-1-1-1-1-111-1-111−i−iiiii−i−i1-11-11-1−iii−i-11−iii−i
χ1611111-11-1-1-111-1-1-1-1-111-1-111−i−iiiii−i−i-11-1-111−iii−i1-1i−i−ii
χ17222222222222-2-2-2-22-2-2222200000000000-2-200000000000
χ18222222222222-2-2-2-22-2-2-2-2-2-2000000000002200000000000
χ192222222222-2-222-2-2-22-200000000222200000000-2-2000000
χ202222222222-2-222-2-2-22-200000000-2-2-2-20000000022000000
χ212222222222-2-2-2-222-2-22000022220000000000-2-200000000
χ222222222222-2-2-2-222-2-220000-2-2-2-200000000002200000000
χ2322222-22-2-2-2222222-2-2-222-2-200000000000-2200000000000
χ2422222-22-2-2-2222222-2-2-2-2-222000000000002-200000000000
χ2522222-22-2-2-2-2-222-2-22-2200002i2i−2i−2i0000000000−2i2i00000000
χ2622222-22-2-2-2-2-222-2-22-220000−2i−2i2i2i00000000002i−2i00000000
χ2722222-22-2-2-2-2-2-2-22222-2000000002i2i−2i−2i00000000−2i2i000000
χ2822222-22-2-2-2-2-2-2-22222-200000000−2i−2i2i2i000000002i−2i000000
χ294444-44-4-4-440000000000000000000002-2-20020000000000
χ304444-44-4-4-44000000000000000000000-22200-20000000000
χ314444-4-4-444-400000000000000000000022-200-20000000000
χ324444-4-4-444-4000000000000000000000-2-220020000000000
χ334-44-4-4040004-44i−4i4i−4i0000000000000000000000000000000
χ344-44-4-4040004-4−4i4i−4i4i0000000000000000000000000000000
χ354-44-4-404000-444i−4i−4i4i0000000000000000000000000000000
χ364-44-4-404000-44−4i4i4i−4i0000000000000000000000000000000
χ374-4-4404000-40000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000
χ384-4-4404000-40000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000
χ394-4-4404000-4000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000
χ404-4-4404000-4000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000
χ414-4-440-400040000000002-2-222-2-222-2-220000000000000000
χ424-4-440-400040000000002-2-22-222-2-222-20000000000000000
χ434-4-440-40004000000000-222-22-2-22-222-20000000000000000
χ444-4-440-40004000000000-222-2-222-22-2-220000000000000000
χ4588-8-80008-800000000000000000000000000000000000000
χ4688-8-8000-8800000000000000000000000000000000000000
χ478-88-880-80000000000000000000000000000000000000000

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