Finite Group Databasebeta

← Group #260823

Character table — Group #260823

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-111111-1-1-1111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-111-1-1-111-111-111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-11-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ91111111111-1-1-1-11111-1-11111-11111-11-1-1-1-1-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111-1-11111-111-1-11-11-1-1-11-1111-1-1-1-111-1-111
χ111111111111-1-1-1-11111-1-11111-1-1-111-11-1-111-11-1-1-111-1-111-1-111
χ121111111111-1-1-1-11111-1-11111-1-1-1-1-11-11-1111-11-1-11111-1-111-1-1
χ131111111111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1-1-11-1-11111-1-1-1-111
χ141111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-11-1-111-1-1-111-1-11111-1-1
χ151111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-11111-1-1111-1-1-1-11111-1-1
χ161111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-111-111111-111-1-111-1-1-1-111
χ17222222222-22222-2-22-2-2-200000000002-20000-22000000000000
χ18222222222-22222-2-22-2-2-20000000000-2200002-2000000000000
χ19222222222-2-2-2-2-2-2-22-2220000000000220000-2-2000000000000
χ20222222222-2-2-2-2-2-2-22-2220000000000-2-2000022000000000000
χ2122222222-2222-2-2-2-2-222-200000002-2200000-200000000000000
χ2222222222-2222-2-2-2-2-222-20000000-22-200000200000000000000
χ2322222222-22-2-222-2-2-22-2200000002-2-200000200000000000000
χ2422222222-22-2-222-2-2-22-220000000-22200000-200000000000000
χ2522222222-2-222-2-222-2-2-2222-2-220000000-200000000000000000
χ2622222222-2-222-2-222-2-2-22-2-222-20000000200000000000000000
χ2722222222-2-2-2-22222-2-22-222-2-2-20000000200000000000000000
χ2822222222-2-2-2-22222-2-22-2-2-22220000000-200000000000000000
χ2922-22-2-22-22-200002-2-22002i−2i2i−2i0000000002i−2i000002-200000000
χ3022-22-2-22-22-200002-2-22002i−2i2i−2i000000000−2i2i00000-2200000000
χ3122-22-2-22-22-200002-2-2200−2i2i−2i2i0000000002i−2i00000-2200000000
χ3222-22-2-22-22-200002-2-2200−2i2i−2i2i000000000−2i2i000002-200000000
χ3322-22-2-22-2-2200002-22-2002i−2i−2i2i02-2000000000002i−2i0000000000
χ3422-22-2-22-2-2200002-22-2002i−2i−2i2i0-2200000000000−2i2i0000000000
χ3522-22-2-22-2-2200002-22-200−2i2i2i−2i02-200000000000−2i2i0000000000
χ3622-22-2-22-2-2200002-22-200−2i2i2i−2i0-22000000000002i−2i0000000000
χ3744-44-4-44-4440000-44-4-400000000000000000000000000000000
χ3844-44-4-44-4-4-40000-444400000000000000000000000000000000
χ3944-4-44-4-44004-400000000000000000000000000000000002i−2i2i−2i
χ4044-4-44-4-44004-40000000000000000000000000000000000−2i2i−2i2i
χ4144-4-44-4-4400-4400000000000000000000000000000000002i−2i−2i2i
χ4244-4-44-4-4400-440000000000000000000000000000000000−2i2i2i−2i
χ434-4444-4-4-400004i−4i00000000000000000000000000002-22i−2i0000
χ444-4444-4-4-400004i−4i0000000000000000000000000000-22−2i2i0000
χ454-4444-4-4-40000−4i4i00000000000000000000000000002-2−2i2i0000
χ464-4444-4-4-40000−4i4i0000000000000000000000000000-222i−2i0000
χ47888-8-88-8-8000000000000000000000000000000000000000000
χ488-88-8-8-888000000000000000000000000000000000000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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