Finite Group Databasebeta

← Group #179175

Character table — Group #179175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-1-111-1-11-1-11-11111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-1-111-1-11-1-11-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-1-1-11-1-111-111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-1-1-11-1-111-11-1-1-1-111111111-1-1
χ9111111111-1-111111-111-1-1-1-1-11-11111-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-111111-111-1-1-1-1-11-11111-1-1-1-1-111-1-111-1-111-11
χ11111111111-1-111111-111-1-1-1-1-1-11-11-1-111111-1-111-1-1-1-111-11
χ12111111111-1-111111-111-1-1-1-1-1-11-11-1-1111-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-11111-1-1-11-11-1111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-11111-1-1-11-11-11-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1111-111-1-11-11-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1111-111-1-11-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2222-2-2-22000-20000000000000000000
χ1822222222222-2-2-2-22-2-2-22-222-200020000000000000000000
χ19222222222-2-2-2-2-2-22222-2222-2000-20000000000000000000
χ20222222222-2-2-2-2-2-222-2-2-22-2-2200020000000000000000000
χ2122222222-22222-2-2-2200-2-200000200-220-200000000000000
χ2222222222-22222-2-2-2200-2-200000-2002-20200000000000000
χ2322222222-222-2-222-2-200-220002200-200-2000000000000000
χ2422222222-222-2-222-2-200-22000-2-2002002000000000000000
χ2522222222-2-2-222-2-2-2-2002200000200-2-20200000000000000
χ2622222222-2-2-222-2-2-2-2002200000-200220-200000000000000
χ2722222222-2-2-2-2-222-22002-20002-200-2002000000000000000
χ2822222222-2-2-2-2-222-22002-2000-2200200-2000000000000000
χ294444-4-4-4-404-400000000000000000000002-22-20000000000
χ304444-4-4-4-404-40000000000000000000000-22-220000000000
χ314444-4-4-4-40-4400000000000000000000002-2-220000000000
χ324444-4-4-4-40-440000000000000000000000-222-20000000000
χ334-44-444-4-44000000-404-40000000000000000000000000000
χ344-44-444-4-44000000-40-440000000000000000000000000000
χ354-44-444-4-4-40000004000004i−4i000000000000000000000000
χ364-44-444-4-4-4000000400000−4i4i000000000000000000000000
χ374-44-4-4-444000004-4000000000000000000000000000022−2200
χ384-44-4-4-444000004-40000000000000000000000000000−222200
χ394-44-4-4-44400000-440000000000000000000000000022−220000
χ404-44-4-4-44400000-4400000000000000000000000000−22220000
χ414-4-44-44-440004-40000000000000000000000000022−22000000
χ424-4-44-44-440004-400000000000000000000000000−2222000000
χ434-4-44-44-44000-4400000000000000000000000022−2200000000
χ444-4-44-44-44000-44000000000000000000000000−222200000000
χ4588-8-88-8-88000000000000000000000000000000000000000
χ4688-8-8-888-8000000000000000000000000000000000000000
χ478-8-888-88-8000000000000000000000000000000000000000

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