Finite Group Databasebeta

← Group #178634

Character table — Group #178634

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442244444222244444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-11-1-11111-1-1-111-1-1-111111111-1-1-1-1-1-1
χ61111111111111111-1-11-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-11-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1
χ9111111111-1-11111111-1-1-1-1-11-11-111-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-11111111-1-1-1-1-11-11-111-1-11-1-1-111-1-111-1-111-11
χ11111111111-1-11111111-1-1-1-1-1-11-111-11-1-1111-1-1-1-11111-1-1-11
χ12111111111-1-11111111-1-1-1-1-1-11-111-11-1-11-1-11111-1-1-1-1111-1
χ13111111111-1-111111-1-1-111-1-11-1-11-11-11-1111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-1-111-1-11-1-11-11-11-11-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-1-111-1-1-111-1-1-1111-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-111-1-1-111-1-1-1111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2200-2002-222000-2-200000000000000000
χ1822222222222-2-2-2-2200-2002-2-2-20002200000000000000000
χ19222222222-2-2-2-2-2-2200200-222-2000-2200000000000000000
χ20222222222-2-2-2-2-2-2200200-22-220002-200000000000000000
χ2122222222-22222-2-2-200-200-2200220000-2-200000000000000
χ2222222222-22222-2-2-200-200-2200-2-200002200000000000000
χ2322222222-222-2-222-2222-2-2-2-20000-20020000000000000000
χ2422222222-222-2-222-2-2-2222-2-20000200-20000000000000000
χ2522222222-2-2-222-2-2-2002002-2002-20000-2200000000000000
χ2622222222-2-2-222-2-2-2002002-200-2200002-200000000000000
χ2722222222-2-2-2-2-222-222-222220000-200-20000000000000000
χ2822222222-2-2-2-2-222-2-2-2-2-2-222000020020000000000000000
χ2944-44-44-4-40004-40000000000000000000000000000002i2−2i200
χ3044-44-44-4-40004-4000000000000000000000000000000−2i22i200
χ3144-44-44-4-4000-4400000000000000000000000000002i2−2i20000
χ3244-44-44-4-4000-440000000000000000000000000000−2i22i20000
χ3344-4-4-4-44404-400000000000000000000002-22-20000000000
χ3444-4-4-4-44404-40000000000000000000000-22-220000000000
χ3544-4-4-4-4440-4400000000000000000000002-2-220000000000
χ3644-4-4-4-4440-440000000000000000000000-222-20000000000
χ374-444-4-4-444000000-40000000000000000000002i2−2i200000000
χ384-444-4-4-444000000-4000000000000000000000−2i22i200000000
χ394-444-4-4-44-400000040000000000000000000000022−22000000
χ404-444-4-4-44-4000000400000000000000000000000−2222000000
χ414-4-4-444-44000004-400004-400000000000000000000000000
χ424-4-4-444-44000004-40000-4400000000000000000000000000
χ434-4-4-444-4400000-4404-400000000000000000000000000000
χ444-4-4-444-4400000-440-4400000000000000000000000000000
χ45888-88-8-8-8000000000000000000000000000000000000000
χ468-88-8-888-8000000000000000000000000000000000000000
χ478-8-888-88-8000000000000000000000000000000000000000

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