Finite Group Databasebeta

← Group #511934

Character table — Group #511934

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12442488882224442224444444448888888888888882244888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-11-1-111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1
χ411111111111111111-1-11-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-11-1-11-1-1-111-1-1-1-111-1-1111-1-111-1-11111-1-111-1-1
χ61111111111111111-11-1-11-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-1-1-111-1-111
χ71111111111111111-1-11-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-11-1-11-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1
χ9111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-1
χ10111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11
χ11111111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-111111-11-11-1-11-11
χ12111111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-11111-11-11-111-11-1
χ13111111-1-1-1-1111111-11-1-11-1-1-111-1-111-1-111-1-1-111-1-1111-11-1-111-1-11
χ14111111-1-1-1-1111111-11-1-11-1-1-111-1-111-1-111-1-1-111-1-111-11-111-1-111-1
χ15111111-1-1-1-1111111-1-11-1-11-1-1-1-1111111-1-1-1-1-11111-1-11-11-1-11-111-1
χ16111111-1-1-1-1111111-1-11-1-11-1-1-1-1111111-1-1-1-1-11111-1-1-11-111-11-1-11
χ1722222222222-2-22-2-20020020000-2-20000-2-22-2-20000220000000000
χ1822222222222-2-22-2-200-200-20000220000222-2-20000-2-20000000000
χ192222222222-22-2-22-202002000-2-20000-2-200-22-20022000000000000
χ202222222222-22-2-22-20-200-20002200002200-22-200-2-2000000000000
χ212222222222-2-22-2-22200200-2-20000-2-20000-2-222200000000000000
χ222222222222-2-22-2-22-200-200220000220000-2-22-2-200000000000000
χ23222222-2-2-2-22-2-22-2-20020020000-2-2000022-2220000-2-20000000000
χ24222222-2-2-2-22-2-22-2-200-200-20000220000-2-2-2220000220000000000
χ25222222-2-2-2-2-22-2-22-202002000-2-2000022002-2200-2-2000000000000
χ26222222-2-2-2-2-22-2-22-20-200-2000220000-2-2002-220022000000000000
χ27222222-2-2-2-2-2-22-2-22200200-2-2000022000022-2-2-200000000000000
χ28222222-2-2-2-2-2-22-2-22-200-200220000-2-2000022-22200000000000000
χ2922-2-22-2000022-2-2-22200-2002-20000002i−2i2i−2i000002i−2i2i−2i0000000000
χ3022-2-22-2000022-2-2-22200-2002-2000000−2i2i−2i2i00000−2i2i−2i2i0000000000
χ3122-2-22-2000022-2-2-22-200200-220000002i−2i−2i2i000002i−2i−2i2i0000000000
χ3222-2-22-2000022-2-2-22-200200-22000000−2i2i2i−2i00000−2i2i2i−2i0000000000
χ3322-2-22-200002-22-22-20200-20002-2002i−2i002i−2i0002i−2i00−2i2i0000000000
χ3422-2-22-200002-22-22-20200-20002-200−2i2i00−2i2i000−2i2i002i−2i0000000000
χ3522-2-22-200002-22-22-20-2002000-22002i−2i00−2i2i0002i−2i002i−2i0000000000
χ3622-2-22-200002-22-22-20-2002000-2200−2i2i002i−2i000−2i2i00−2i2i0000000000
χ3722-2-22-20000-2222-2-200200-200002-22i−2i−2i2i00000−2i2i2i−2i000000000000
χ3822-2-22-20000-2222-2-200200-200002-2−2i2i2i−2i000002i−2i−2i2i000000000000
χ3922-2-22-20000-2222-2-200-20020000-222i−2i2i−2i00000−2i2i−2i2i000000000000
χ4022-2-22-20000-2222-2-200-20020000-22−2i2i−2i2i000002i−2i2i−2i000000000000
χ4122-2-22-20000-2-2-2222222-2-2-2-22-22-220000000000000000000000000
χ4222-2-22-20000-2-2-22222-2-2-222-222-22-20000000000000000000000000
χ4322-2-22-20000-2-2-2222-22-22-222-2-222-20000000000000000000000000
χ4422-2-22-20000-2-2-2222-2-2222-22-22-2-220000000000000000000000000
χ4544-4-4-4444-4-400000000000000000000000000000000022-2-2000000
χ4644-4-4-4444-4-4000000000000000000000000000000000-2-222000000
χ4744-4-4-44-4-4440000000000000000000000000000000002-2-22000000
χ4844-4-4-44-4-444000000000000000000000000000000000-222-2000000
χ498888-8-800000000000000000000000000000000000000000000000
χ508-88i−8i0042−424i2−4i20000000000000000000000000000000000000000000
χ518-88i−8i00−4242−4i24i20000000000000000000000000000000000000000000
χ528-8−8i8i0042−42−4i24i20000000000000000000000000000000000000000000
χ538-8−8i8i00−42424i2−4i20000000000000000000000000000000000000000000

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