Finite Group Databasebeta

← Group #326954

Character table — Group #326954

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222224444444444422444444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-1-1-1-1111-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-1111111-1111-11-1-11-1-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-1111111-1111-11-1-11-1-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-1111111-11-1-111-1-1-111-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-1111111-11-1-111-1-1-111-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-11-11-1111-1-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-11-11-1111-1-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-1-11-1-111-1111-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-1-11-1-111-1111-1-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-2-2-2-20200000-22-20000000000000000
χ18222222222222-2-222-2-2-2-2-20-2000002-220000000000000000
χ192222222222-2-222-2-222-2-2-22000-22-20000000000000000000
χ202222222222-2-222-2-222-2-2-2-20002-220000000000000000000
χ212222222222-2-2-2-2-2-2-2-22220022000000-2-200000000000000
χ222222222222-2-2-2-2-2-2-2-222200-2-20000002200000000000000
χ2322222222-2-22222-2-2-2-222-2002-2000000-2200000000000000
χ2422222222-2-22222-2-2-2-222-200-220000002-200000000000000
χ2522222222-2-222-2-2-2-222-2-222000-2-220000000000000000000
χ2622222222-2-222-2-2-2-222-2-22-200022-20000000000000000000
χ2722222222-2-2-2-22222-2-2-2-220200000-2-220000000000000000
χ2822222222-2-2-2-22222-2-2-2-220-20000022-20000000000000000
χ2944-444-4-4-400004i−4i000000000000000000000002-22i−2i000000
χ3044-444-4-4-400004i−4i00000000000000000000000-22−2i2i000000
χ3144-444-4-4-40000−4i4i000000000000000000000002-2−2i2i000000
χ3244-444-4-4-40000−4i4i00000000000000000000000-222i−2i000000
χ334-444-44-4-4004i−4i000000000000000000000000000002-22i−2i00
χ344-444-44-4-4004i−4i00000000000000000000000000000-22−2i2i00
χ354-444-44-4-400−4i4i000000000000000000000000000002-2−2i2i00
χ364-444-44-4-400−4i4i00000000000000000000000000000-222i−2i00
χ374-4-44-4-4444-4000000000000000000000002-22-20000000000
χ384-4-44-4-4444-400000000000000000000000-22-220000000000
χ394-4-44-4-444-44000000000000000000000002-2-220000000000
χ404-4-44-4-444-4400000000000000000000000-222-20000000000
χ414-4-4-4444-40000004-44-44-4000000000000000000000000000
χ424-4-4-4444-40000004-4-44-44000000000000000000000000000
χ434-4-4-4444-4000000-444-4-44000000000000000000000000000
χ444-4-4-4444-4000000-44-444-4000000000000000000000000000
χ45888-8-8-88-8000000000000000000000000000000000000000
χ4688-8-8-88-88000000000000000000000000000000000000000
χ478-88-88-8-88000000000000000000000000000000000000000

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