Finite Group Databasebeta

← Group #487175

Character table — Group #487175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244224224444444444444444444444444488884488
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-111
χ511111111111-1-1111-1-11111-1-111-1-111-1-11111-1-111111-1-1-1-1
χ611111111111-1-1111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-11111
χ711111111111-1-1111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-111
χ811111111111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1111111-1-1
χ9111111-1-111-111-1-1-1-1-111-1-111-1-1-1-1111-111-1-1-11111-1-11-11-1
χ10111111-1-111-111-1-1-1-1-111-1-111-1-1-1-1111-1-1-111-111-1-111-11-11
χ11111111-1-111-111-1-1-1-1-1-1-111-1-1111111-1111-1-1-11-1-1-1111-1-11
χ12111111-1-111-111-1-1-1-1-1-1-111-1-1111111-11-1-111-11-111-1-1-111-1
χ13111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1111-1-11-1111-1-1-11-11
χ14111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-1111-11-1-1111-11-1
χ15111111-1-111-1-1-1-1-1-111-1-1111111-1-1111-111-1-11-1-1-1-111-111-1
χ16111111-1-111-1-1-1-1-1-111-1-1111111-1-1111-1-1-1111-1-111-1-11-1-11
χ1722222222222222-2-2220000000000-2-2000000-2-2000000000
χ1822222222222-2-22-2-2-2-20000000000-2-200000022000000000
χ1922222222-2-2200-22-20000002200222-2-2-2000000000000000
χ2022222222-2-2200-22-2000000-2-200-2-22-222000000000000000
χ2122222222-2-2200-2-2200222200-2-200-2200000000-200000000
χ2222222222-2-2200-2-2200-2-2-2-2002200-2200000000200000000
χ23222222-2-222-222-222-2-20000000000-2-20000002-2000000000
χ24222222-2-222-2-2-2-222220000000000-2-2000000-22000000000
χ25222222-2-2-2-2-20022-20022-2-2002200-2200000000-200000000
χ26222222-2-2-2-2-20022-200-2-22200-2-200-2200000000200000000
χ27222222-2-2-2-2-2002-220000002200-2-22-2-22000000000000000
χ28222222-2-2-2-2-2002-22000000-2-200222-22-2000000000000000
χ294444-4-44400-40000000000000000000002-22-200000000000
χ304444-4-44400-4000000000000000000000-22-2200000000000
χ314444-4-4-4-40040000000000000000000002-2-2200000000000
χ324444-4-4-4-4004000000000000000000000-222-200000000000
χ3344-4-44-4004-4000000000000000000000000000000022−220000
χ3444-4-44-4004-40000000000000000000000000000000−22220000
χ3544-4-44-400-440000000000000000000000000000022−22000000
χ3644-4-44-400-4400000000000000000000000000000−2222000000
χ374-44-4004i−4i0002-20002i−2i2i−2i2-22i−2i002-20000000000000000000
χ384-44-4004i−4i0002-20002i−2i−2i2i-22−2i2i00-220000000000000000000
χ394-44-4004i−4i000-22000−2i2i2i−2i2-2−2i2i00-220000000000000000000
χ404-44-4004i−4i000-22000−2i2i−2i2i-222i−2i002-20000000000000000000
χ414-44-400−4i4i0002-2000−2i2i2i−2i-222i−2i00-220000000000000000000
χ424-44-400−4i4i0002-2000−2i2i−2i2i2-2−2i2i002-20000000000000000000
χ434-44-400−4i4i000-220002i−2i2i−2i-22−2i2i002-20000000000000000000
χ444-44-400−4i4i000-220002i−2i−2i2i2-22i−2i00-220000000000000000000
χ4588-8-8-8800000000000000000000000000000000000000000
χ468-8-88000000000000000000004i−4i000000000000000000000
χ478-8-8800000000000000000000−4i4i000000000000000000000

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