Finite Group Databasebeta

← Group #487566

Character table — Group #487566

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244444224444444444444444424444444488888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-11111-1-1111-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-111
χ611111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1
χ711111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1
χ811111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11111-1-111
χ9111111-1-11-11-1-1-111-1-111-1-1-1-111-1-1111-11-11-111-111-1-11-11-1
χ10111111-1-11-11-1-1-111-1-111-1-1-1-111-1-111-111-1-1111-1-1-111-11-11
χ11111111-1-11-11-1-1-111-1-1-1-111-1-1-1-111111-1-111-11-1111-1-1-11-11
χ12111111-1-11-11-1-1-111-1-1-1-111-1-1-1-11111-11-11-111-11-1-1111-11-1
χ13111111-1-11-11-1-1-1-1-11111-1-111-1-111111-1-111-1-11-1-1-111-111-1
χ14111111-1-11-11-1-1-1-1-11111-1-111-1-11111-11-11-11-11-111-1-11-1-11
χ15111111-1-11-11-1-1-1-1-111-1-1111111-1-1111-11-11-1-1-11-1-1111-1-11
χ16111111-1-11-11-1-1-1-1-111-1-1111111-1-111-111-1-11-1-1111-1-1-111-1
χ1722222222222-2-2200000000002222-2-200-2-20000000000000
χ1822222222222-2-220000000000-2-2-2-2-2-200220000000000000
χ1922222222-22-22-2-2000022220000002-20000000-2-200000000
χ2022222222-22-22-2-20000-2-2-2-20000002-200000002200000000
χ2122222222-22-2-22-222220000-2-20000-22000000-20000000000
χ2222222222-22-2-22-2-2-2-2-20000220000-2200000020000000000
χ23222222-2-22-2222-2000000000022-2-2-2-200-220000000000000
χ24222222-2-22-2222-20000000000-2-222-2-2002-20000000000000
χ25222222-2-2-2-2-22-2222-2-20000220000-22000000-20000000000
χ26222222-2-2-2-2-22-22-2-2220000-2-20000-2200000020000000000
χ27222222-2-2-2-2-2-222000022-2-20000002-20000000-2200000000
χ28222222-2-2-2-2-2-2220000-2-2220000002-200000002-200000000
χ294444-4-4440-4000000000000000000002-200-2200000000000
χ304444-4-4440-400000000000000000000-22002-200000000000
χ314444-4-4-4-404000000000000000000002200-2-200000000000
χ324444-4-4-4-40400000000000000000000-2-2002200000000000
χ334-44-4004-40000002i−2i2i−2i2i−2i2i−2i002-22-20000000000000000000
χ344-44-4004-40000002i−2i2i−2i−2i2i−2i2i00-22-220000000000000000000
χ354-44-4004-4000000−2i2i−2i2i2i−2i2i−2i00-22-220000000000000000000
χ364-44-4004-4000000−2i2i−2i2i−2i2i−2i2i002-22-20000000000000000000
χ374-44-400-440000002i−2i−2i2i2i−2i−2i2i002-2-220000000000000000000
χ384-44-400-440000002i−2i−2i2i−2i2i2i−2i00-222-20000000000000000000
χ394-44-400-44000000−2i2i2i−2i2i−2i−2i2i00-222-20000000000000000000
χ404-44-400-44000000−2i2i2i−2i−2i2i2i−2i002-2-220000000000000000000
χ414-4-44-440040-400000000000000000000000000002i2−2i2000000
χ424-4-44-440040-40000000000000000000000000000−2i22i2000000
χ434-4-44-4400-40400000000000000000000000000000022−220000
χ444-4-44-4400-404000000000000000000000000000000−22220000
χ4588-8-80000000000000000004-400000000000000000000000
χ4688-8-8000000000000000000-4400000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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