Finite Group Databasebeta

← Group #178860

Character table — Group #178860

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11-11-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-11-11-1-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-111-1-111-1-1-11-11-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ811111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ9111111111-1-111111-111-1-1-1-1111-11-1-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-111111-111-1-1-1-1111-11-1-1-11-1-1-111-1-111-1-111-11
χ11111111111-1-111111-111-1-1-1-1-1-1-1111-11-1111-1-1-1-111-1-1111-1
χ12111111111-1-111111-111-1-1-1-1-1-1-1111-11-11-1-11111-1-111-1-1-11
χ13111111111-1-111111-1-1-1-1-11111-11-1-11-1-1111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-1-1-1-11111-11-1-11-1-11-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-1-1-1-111-1-11-1-11111-111-1-1-1-11111-1-1-11
χ16111111111-1-111111-1-1-1-1-111-1-11-1-11111-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2200-2-200002-20000-2200000000000000
χ1822222222222-2-2-22-2200-2-20000-2200002-200000000000000
χ19222222222-2-2-2-2-22-2-200220000220000-2-200000000000000
χ20222222222-2-2-2-2-22-2-200220000-2-200002200000000000000
χ2122222222-2222-2-2-22-2002-2002-2000-2020000000000000000
χ2222222222-2222-2-2-22-2002-200-2200020-20000000000000000
χ2322222222-222-222-2-2-222-22-2-20000-20200000000000000000
χ2422222222-222-222-2-2-2-2-2-2222000020-200000000000000000
χ2522222222-2-2-22-2-2-22200-22002-200020-20000000000000000
χ2622222222-2-2-22-2-2-22200-2200-22000-2020000000000000000
χ2722222222-2-2-2-222-2-22222-2220000-20-200000000000000000
χ2822222222-2-2-2-222-2-22-2-22-2-2-2000020200000000000000000
χ2944-444-4-4-4400000-40000000000000000000000000022−220000
χ3044-444-4-4-4400000-400000000000000000000000000−22220000
χ3144-444-4-4-4-400000400000000000000000000000000002i2−2i200
χ3244-444-4-4-4-40000040000000000000000000000000000−2i22i200
χ3344-4-4-444-400004-400000004i−4i000000000000000000000000
χ3444-4-4-444-400004-40000000−4i4i000000000000000000000000
χ3544-4-4-444-40000-440004i−4i0000000000000000000000000000
χ3644-4-4-444-40000-44000−4i4i0000000000000000000000000000
χ374-44-44-44-404-4000000000000000000000000002i−2i2i−2i000000
χ384-44-44-44-404-400000000000000000000000000−2i2i−2i2i000000
χ394-44-44-44-40-44000000000000000000000000002i−2i−2i2i000000
χ404-44-44-44-40-4400000000000000000000000000−2i2i2i−2i000000
χ414-4-44-4-4440004000-400000000000000000002i2−2i20000000000
χ424-4-44-4-4440004000-40000000000000000000−2i22i20000000000
χ434-4-44-4-444000-400040000000000000000022−22000000000000
χ444-4-44-4-444000-4000400000000000000000−2222000000000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ468-888-88-8-8000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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