Finite Group Databasebeta

← Group #178967

Character table — Group #178967

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222224444444444444444444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-111-1-11-1-11-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-111-11-1-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111-11-1-1-11-1-1-1-111111111-1-1
χ911111111-1-1111111-1-1-111-1-11-1111-1-1-11-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-111-1-11-1111-1-1-11-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-111-1-1-11-1-1-11-111111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-1-111-1-1-11-1-1-11-1111-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1111-1-1-1111-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1111-1-1-1111-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-1111-1-111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-1111-1-111-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-22-22-2-200002-200-20020000000000000000
χ1822222222222-2-2-22-22-2-20000-2200200-20000000000000000
χ192222222222-22-2-2-22-22-222-2-200000020-2000000000000000
χ202222222222-22-2-2-22-22-2-2-222000000-202000000000000000
χ212222222222-2-222-2-2-2-220000002-202000-200000000000000
χ222222222222-2-222-2-2-2-22000000-220-2000200000000000000
χ2322222222-2-22-2-2-22-2-22200002200-200-20000000000000000
χ2422222222-2-22-2-2-22-2-2220000-2-20020020000000000000000
χ2522222222-2-2-22-2-2-222-222222000000-20-2000000000000000
χ2622222222-2-2-22-2-2-222-22-2-2-2-2000000202000000000000000
χ2722222222-2-2-2-222-2-222-20000002-20-2000200000000000000
χ2822222222-2-2-2-222-2-222-2000000-2202000-200000000000000
χ2944-44-4-4-444-40000000000000000000000000002i−2i2i−2i000000
χ3044-44-4-4-444-4000000000000000000000000000−2i2i−2i2i000000
χ3144-44-4-4-44-440000000000000000000000000002i−2i−2i2i000000
χ3244-44-4-4-44-44000000000000000000000000000−2i2i2i−2i000000
χ334-4444-4-4-4004000-400000000000000000022−22000000000000
χ344-4444-4-4-4004000-4000000000000000000−2222000000000000
χ354-4444-4-4-400-40004000000000000000000002i2−2i20000000000
χ364-4444-4-4-400-4000400000000000000000000−2i22i20000000000
χ374-44-4-44-440004000-40004i−4i00000000000000000000000000
χ384-44-4-44-440004000-4000−4i4i00000000000000000000000000
χ394-44-4-44-44000-40004000004-4000000000000000000000000
χ404-44-4-44-44000-4000400000-44000000000000000000000000
χ414-4-4-44-44400004-40000000000000000000000000000022−2200
χ424-4-4-44-44400004-400000000000000000000000000000−222200
χ434-4-4-44-4440000-4400000000000000000000000000022−220000
χ444-4-4-44-4440000-44000000000000000000000000000−22220000
χ45888-8-8-88-8000000000000000000000000000000000000000
χ4688-8-888-8-8000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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