Finite Group Databasebeta

← Group #486567

Character table — Group #486567

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444444444444442222244444448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-111-1-1111-1-111-1111-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-111-1-1111-1-1-1-1-1-1-11-1-1-111111111-1-1
χ5111111111111111-1-111-1-1-1-111-1-1-111111-111-11111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-111-1-1-1-1-11-1-1-111-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-11111-11111-111-1-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-111111-1-1-1-111
χ9111111-1-11-1-1-1-11-11111-1-1-1-111-11-11-1-11-111-1111-1-111-1-11-1
χ10111111-1-11-1-1-1-11-11111-1-1-1-111-11-1-11-1-1111-11-1-111-1-111-11
χ11111111-1-11-1-1-1-11-111-1-1-1-11111-1-111-111-11-11-1-1-111-1-1111-1
χ12111111-1-11-1-1-1-11-111-1-1-1-11111-1-11-111-111-11-111-1-111-1-1-11
χ13111111-1-11-1-1-1-11-1-1-1111111111-111-1-11-1-11-1-111-1-1-1-111-11
χ14111111-1-11-1-1-1-11-1-1-1111111111-11-11-1-11-11-1-1-1-11111-1-11-1
χ15111111-1-11-1-1-1-11-1-1-1-1-111-1-11111-11-111-1-1-111-1-11111-1-1-11
χ16111111-1-11-1-1-1-11-1-1-1-1-111-1-11111-1-111-11-1-11111-1-1-1-1111-1
χ17222222222-2-2-2-2222200-2-200-2-220000000-20000000000000
χ18222222222-2-2-2-222-2-2002200-2-2-2000000020000000000000
χ1922222222-222-2-2-2-2000000222-20-2-20000000020000000000
χ2022222222-222-2-2-2-2000000-2-22-202200000000-20000000000
χ2122222222-2-2-222-2-200220000-22000002000-2-200000000000
χ2222222222-2-2-222-2-200-2-20000-2200000-20002200000000000
χ23222222-2-2222222-222002200-2-2-20000000-20000000000000
χ24222222-2-2222222-2-2-200-2-200-2-22000000020000000000000
χ25222222-2-2-222-2-2-2200220000-2200000-2000-2200000000000
χ26222222-2-2-222-2-2-2200-2-20000-220000020002-200000000000
χ27222222-2-2-2-2-222-22000000222-202-200000000-20000000000
χ28222222-2-2-2-2-222-22000000-2-22-20-220000000020000000000
χ292-22-22-20022-22-2-202i−2i002i−2i0000000000000000i2−i2i2−i22−22−200
χ302-22-22-20022-22-2-202i−2i002i−2i0000000000000000−i2i2−i2i2−22−2200
χ312-22-22-20022-22-2-20−2i2i00−2i2i0000000000000000i2−i2i2−i2−22−2200
χ322-22-22-20022-22-2-20−2i2i00−2i2i0000000000000000−i2i2−i2i22−22−200
χ332-22-22-2002-22-22-202i−2i00−2i2i0000000000000000i2−i2−i2i22−2−2200
χ342-22-22-2002-22-22-202i−2i00−2i2i0000000000000000−i2i2i2−i2−222−200
χ352-22-22-2002-22-22-20−2i2i002i−2i0000000000000000i2−i2−i2i2−222−200
χ362-22-22-2002-22-22-20−2i2i002i−2i0000000000000000−i2i2i2−i22−2−2200
χ374444-4-44-400000000000000000000220-2-200000000000000
χ384444-4-44-400000000000000000000-2-202200000000000000
χ394444-4-4-44000000000000000000002-20-2200000000000000
χ404444-4-4-4400000000000000000000-2202-200000000000000
χ414-44-44-400-44-4-444000000000000000000000000000000000
χ424-44-44-400-4-444-44000000000000000000000000000000000
χ4388-8-8000000000000000004i−4i000000000000000000000000
χ4488-8-800000000000000000−4i4i000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-8800000000000004-40000000000000000000000000000
χ478-8-880000000000000-440000000000000000000000000000

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