Finite Group Databasebeta

← Group #486021

Character table — Group #486021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444222222444444444422444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-1
χ611111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111
χ711111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-11111-1-111-1-1-1-1-1-111
χ811111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111111111-1-1
χ9111111-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111111-1-11-11-111-1-11-11-1
χ10111111-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1111-1-1111-11-1-1-111-11-11
χ11111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1111-1-1-11-11
χ12111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1111-1-111-11-11-1-1111-11-1
χ13111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-111-1-11-1-11-1-1111-1-11
χ14111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1111-1-1111-1-1-111-1
χ15111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-111-1-1-111-1-1-111-111-1
χ16111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-111-111-111-1-11-1-11
χ1722222222222222222-2-20000-2-2000022-2-2-20000000000000000
χ1822222222222-2-2-2-222-2-20000220000-2-2-2-220000000000000000
χ1922222222-2-220000-2-22-20000002222002-20000000-2-200000000
χ2022222222-2-220000-2-22-2000000-2-2-2-2002-200000002200000000
χ2122222222-2-220000-2-2-22222200000000-2200000-2-20000000000
χ2222222222-2-220000-2-2-22-2-2-2-200000000-2200000220000000000
χ23222222-2-222-20000-2-22-222-2-200000000-2200000-220000000000
χ24222222-2-222-20000-2-22-2-2-22200000000-22000002-20000000000
χ25222222-2-222-20000-2-2-2200000022-2-2002-20000000-2200000000
χ26222222-2-222-20000-2-2-22000000-2-222002-200000002-200000000
χ27222222-2-2-2-2-2222222220000220000-2-2-2-2-20000000000000000
χ28222222-2-2-2-2-2-2-2-2-222220000-2-2000022-2-220000000000000000
χ294444-4-44400-4000000000000000000000002-2-22000000000000
χ304444-4-44400-400000000000000000000000-222-2000000000000
χ314444-4-4-4-4004000000000000000000000002-22-2000000000000
χ324444-4-4-4-400400000000000000000000000-22-22000000000000
χ3344-4-44-40000000004-40000004i−4i0000000000000000000000000
χ3444-4-44-40000000004-4000000−4i4i0000000000000000000000000
χ3544-4-44-4000004i4i−4i−4i-44000000000000000000000000000000000
χ3644-4-44-400000−4i−4i4i4i-44000000000000000000000000000000000
χ3744-4-4-44004i−4i000000000000000000000000000000002-22i−2i0000
χ3844-4-4-44004i−4i00000000000000000000000000000000-22−2i2i0000
χ3944-4-4-4400−4i4i000000000000000000000000000000002-2−2i2i0000
χ4044-4-4-4400−4i4i00000000000000000000000000000000-222i−2i0000
χ414-4-44004-40002-22-200002-22-2002-22-22-20000000000000000000
χ424-4-44004-40002-22-20000-22-2200-22-222-20000000000000000000
χ434-4-44004-4000-22-2200002-22-200-22-22-220000000000000000000
χ444-4-44004-4000-22-220000-22-22002-22-2-220000000000000000000
χ454-4-4400-440002-22-200002-2-22002-2-22-220000000000000000000
χ464-4-4400-440002-22-20000-222-200-222-2-220000000000000000000
χ474-4-4400-44000-22-2200002-2-2200-222-22-20000000000000000000
χ484-4-4400-44000-22-220000-222-2002-2-222-20000000000000000000
χ498-88-800000004i−4i−4i4i00000000000000000000000000000000000
χ508-88-80000000−4i4i4i−4i00000000000000000000000000000000000

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