Finite Group Databasebeta

← Group #502714

Character table — Group #502714

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444244444444442444444444444444888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-111-11-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-11-111-11-11-1-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-111-1-1-1-1-11-1-1-1-1-1-11-111111111-1-1
χ5111111111111111-1-11111-1-1-1-11-11-111-111-1-111111-1-1-1-1-1-1
χ6111111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-11-1-11-1-1-1-1111111
χ7111111111111111-1-111-1-1-1-111111-1-1111-11-1-1-1-1-1-11111-1-1
χ8111111111111111-1-111-1-1-1-111-11-1-1-1-11-1-11-1-11111-1-1-1-111
χ911111111111-1-11-111-1-111111111-1-1-1-1-111-1-1-111-1-111-1-11-1
χ1011111111111-1-11-111-1-1111111-111-1-11-1-11-1-1-1-1-111-1-111-11
χ1111111111111-1-11-111-1-1-1-111-1-11-1-1-11-111-11-11-1-111-1-1111-1
χ1211111111111-1-11-111-1-1-1-111-1-1-1-11-1111-1-11-1111-1-111-1-1-11
χ1311111111111-1-11-1-1-1-1-111-1-1-1-11-1-11-1-111111-111-1-1-1-111-11
χ1411111111111-1-11-1-1-1-1-111-1-1-1-1-1-111-111-1111-1-1-11111-1-11-1
χ1511111111111-1-11-1-1-1-1-1-1-1-1-11111-111-1-11-1-111-1-11111-1-1-11
χ1611111111111-1-11-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1111-1
χ172222222-2-22-222-2-2002-222000000002000-200-20000000000
χ182222222-2-22-222-2-2002-2-2-200000000-200020020000000000
χ192222222-2-22-2-2-2-2200-222200000000-2000-20020000000000
χ202222222-2-22-2-2-2-2200-22-2-2000000002000200-20000000000
χ21222222-222-2-222-2-222-2200-2-2000002000000-200000000000
χ22222222-222-2-222-2-2-2-2-22002200000-2000000200000000000
χ23222222-222-2-2-2-2-22222-200-2-200000-2000000200000000000
χ24222222-222-2-2-2-2-22-2-22-20022000002000000-200000000000
χ25222222-2-2-2-22222200-2-20000220-20000-2002000000000000
χ26222222-2-2-2-22222200-2-20000-2-2020000200-2000000000000
χ27222222-2-2-2-22-2-22-200220000220-20000200-2000000000000
χ28222222-2-2-2-22-2-22-200220000-2-2020000-2002000000000000
χ292-2-222-222-2-2-200202i−2i00002i−2i00000000000000002i−2i002-200
χ302-2-222-222-2-2-200202i−2i00002i−2i0000000000000000−2i2i00-2200
χ312-2-222-222-2-2-20020−2i2i0000−2i2i00000000000000002i−2i00-2200
χ322-2-222-222-2-2-20020−2i2i0000−2i2i0000000000000000−2i2i002-200
χ332-2-222-2-22-22200-202i−2i0000−2i2i000000000000002-2002i−2i0000
χ342-2-222-2-22-22200-202i−2i0000−2i2i00000000000000-2200−2i2i0000
χ352-2-222-2-22-22200-20−2i2i00002i−2i000000000000002-200−2i2i0000
χ362-2-222-2-22-22200-20−2i2i00002i−2i00000000000000-22002i−2i0000
χ374444-4-4000004-400000000000020200-20-200000000000000
χ384444-4-4000004-4000000000000-20-20020200000000000000
χ394444-4-400000-4400000000000020-20020-200000000000000
χ404444-4-400000-44000000000000-20200-20200000000000000
χ414-4-444-44-44-4400-4000000000000000000000000000000000
χ424-4-444-4-4-444-4004000000000000000000000000000000000
χ4388-8-800000000000000000004-40000000000000000000000
χ4488-8-80000000000000000000-440000000000000000000000
χ458-88-80000000000000004i−4i00000000000000000000000000
χ468-88-8000000000000000−4i4i00000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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