Finite Group Databasebeta

← Group #486921

Character table — Group #486921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244224224444444444444444444444444488884488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1
χ311111111111111111-1-11-1-1-1-111-1-11111-1-111-11-11111-1-1-1-1
χ411111111111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111
χ511111111111-1-111-1-111111-1-1-1-1-1-11111-1-1111-11-1-1-1-111-1-1
χ611111111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-1-11-111111-1-111
χ711111111111-1-111-1-1-1-11-1-111-1-11111111111-1-1-1-1-1-1-1-1-111
χ811111111111-1-111-1-1-1-11-1-111-1-11111-1-111-1-1-1-1-1111111-1-1
χ9111111-1-111-111-1-1-1-111-1-1-1-1-11111111-11-11-11-1-111-1-11-11-1
χ10111111-1-111-111-1-1-1-111-1-1-1-1-1111111-111-1-111-1-1-1-111-11-11
χ11111111-1-111-111-1-1-1-1-1-1-1111111-1-1111-1-111-1-1-1111-1-1-11-11
χ12111111-1-111-111-1-1-1-1-1-1-1111111-1-111-11-11-11-1-11-1-1111-11-1
χ13111111-1-111-1-1-1-1-11111-1-1-111-1-1-1-1111-1-111-111-1-1-1111-1-11
χ14111111-1-111-1-1-1-1-11111-1-1-111-1-1-1-111-11-11-1111-111-1-1-111-1
χ15111111-1-111-1-1-1-1-111-1-1-111-1-1-1-111111-11-11-1-111-1-111-111-1
χ16111111-1-111-1-1-1-1-111-1-1-111-1-1-1-11111-111-1-11-11111-1-11-1-11
χ172222222222200-220022-222000000-2-2000000-20-200000000
χ182222222222200-2200-2-2-2-2-2000000-2-200000020200000000
χ1922222222-2-2200-2-200002002200222-200-2-20000000000000
χ2022222222-2-2200-2-20000200-2-200-2-22-200220000000000000
χ2122222222-2-22222-22200-20000-2-200-220000000-2000000000
χ2222222222-2-22-2-22-2-2-200-200002200-2200000002000000000
χ23222222-2-222-2002-200222-2-2000000-2-2000000-20200000000
χ24222222-2-222-2002-200-2-2222000000-2-200000020-200000000
χ25222222-2-2-2-2-200220000-2002200-2-22-2002-20000000000000
χ26222222-2-2-2-2-200220000-200-2-200222-200-220000000000000
χ27222222-2-2-2-2-222-22-2-20020000-2-200-2200000002000000000
χ28222222-2-2-2-2-2-2-2-222200200002200-220000000-2000000000
χ294444-4-44400-400000000000000000002-200-2200000000000
χ304444-4-44400-40000000000000000000-22002-200000000000
χ314444-4-4-4-400400000000000000000002200-2-200000000000
χ324444-4-4-4-40040000000000000000000-2-2002200000000000
χ334-44-4-44004-400000000000000000000000000000002i2−2i20000
χ344-44-4-44004-40000000000000000000000000000000−2i22i20000
χ354-44-4-4400-44000000000000000000000000000002i2−2i2000000
χ364-44-4-4400-4400000000000000000000000000000−2i22i2000000
χ374-4-44004i−4i0002-2002i−2i2i−2i02-22-2002i−2i0000000000000000000
χ384-4-44004i−4i0002-2002i−2i−2i2i0-22-2200−2i2i0000000000000000000
χ394-4-44004i−4i000-2200−2i2i2i−2i02-2-2200−2i2i0000000000000000000
χ404-4-44004i−4i000-2200−2i2i−2i2i0-222-2002i−2i0000000000000000000
χ414-4-4400−4i4i0002-200−2i2i2i−2i0-22-22002i−2i0000000000000000000
χ424-4-4400−4i4i0002-200−2i2i−2i2i02-22-200−2i2i0000000000000000000
χ434-4-4400−4i4i000-22002i−2i2i−2i0-222-200−2i2i0000000000000000000
χ444-4-4400−4i4i000-22002i−2i−2i2i02-2-22002i−2i0000000000000000000
χ4588-8-8000000000000000000004-4000000000000000000000
χ4688-8-800000000000000000000-44000000000000000000000
χ478-88-88-800000000000000000000000000000000000000000

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