Finite Group Databasebeta

← Group #485300

Character table — Group #485300

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222244444444444444444444444444444444444888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1
χ611111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-11-11-1-1-111-1-111
χ711111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-111
χ811111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11-1-11111-1-1
χ9111111-1-1-1-111-1-111-1-1-111-1-111-1-111-1-1111-111-1-11-11-11-11-1
χ10111111-1-1-1-111-1-111-1-1-111-1-111-1-111-1-111-1111-1-1-11-11-11-11
χ11111111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-111111-1-1-1111-11-1-11-11
χ12111111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-11111-11-1-111-11-111-11-1
χ13111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111111-11-1-111-1-111-1-11
χ14111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-111-1-11-111-1-111-1
χ15111111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1111-1-111-11-1-11-111-1
χ16111111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-111-11-111-1-111-11-1-11
χ17222222222222-2-222222-2-2-2-200000000-2-200000000000000
χ18222222222222-2-2-2-22-2-2222200000000-2-200000000000000
χ192222222222-2-22-200-2000000000022222-2000-20-200000000
χ202222222222-2-22-200-20000000000-2-2-2-22-200020200000000
χ212222222222-2-2-2200-200000022220000-2200-20-2000000000
χ222222222222-2-2-2200-2000000-2-2-2-20000-2200202000000000
χ23222222-2-2-2-2222222-2-2-2-2-22200000000-2-200000000000000
χ24222222-2-2-2-22222-2-2-22222-2-200000000-2-200000000000000
χ25222222-2-2-2-2-2-22-200200000022-2-20000-2200-202000000000
χ26222222-2-2-2-2-2-22-2002000000-2-2220000-220020-2000000000
χ27222222-2-2-2-2-2-2-22002000000000022-2-22-2000-20200000000
χ28222222-2-2-2-2-2-2-220020000000000-2-2222-200020-200000000
χ294444-4-444-4-400000000000000000000000220000-2-2000000
χ304444-4-444-4-400000000000000000000000-2-2000022000000
χ314444-4-4-4-444000000000000000000000002-20000-22000000
χ324444-4-4-4-44400000000000000000000000-2200002-2000000
χ3344-4-4004-4000000000002-22-22-22-22-22-20000000000000000
χ3444-4-4004-4000000000002-22-2-22-22-22-220000000000000000
χ3544-4-4004-400000000000-22-222-22-2-22-220000000000000000
χ3644-4-4004-400000000000-22-22-22-222-22-20000000000000000
χ3744-4-400-44000000000002-2-222-2-222-2-220000000000000000
χ3844-4-400-44000000000002-2-22-222-2-222-20000000000000000
χ3944-4-400-4400000000000-222-22-2-22-222-20000000000000000
χ4044-4-400-4400000000000-222-2-222-22-2-220000000000000000
χ414-44-44-400004-4004-40000000000000000000000000000000
χ424-44-44-400004-400-440000000000000000000000000000000
χ434-44-44-40000-44000004i−4i0000000000000000000000000000
χ444-44-44-40000-4400000−4i4i0000000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-8800008i−8i0000000000000000000000000000000000000
χ478-8-880000−8i8i0000000000000000000000000000000000000

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