Finite Group Databasebeta

← Group #238461

Character table — Group #238461

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-20000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222220000000000000000000000000000
χ2122222222-2-2-2-22222-2-22-222-2-22-20000000000000000000000002-22-200000000
χ2222222222-2-2-2-22222-2-22-222-2-22-2000000000000000000000000-22-2200000000
χ2322222222-2-2-2-22222-2-2-22-2-222-22000000000000000000002-22-2000000000000
χ2422222222-2-2-2-22222-2-2-22-2-222-2200000000000000000000-22-22000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2222-20000000000000000000000002-2-2200000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2222-2000000000000000000000000-222-200000000
χ2722222222-2-2-2-2-2-2-2-222-2222-2-2-22000000000000000000002-2-22000000000000
χ2822222222-2-2-2-2-2-2-2-222-2222-2-2-2200000000000000000000-222-2000000000000
χ2922-2-2-2-22222-2-222-2-22-22-22-22-2-2200000000000000000000000000002i−2i2i−2i0000
χ3022-2-2-2-22222-2-222-2-22-22-22-22-2-220000000000000000000000000000−2i2i−2i2i0000
χ3122-2-2-2-22222-2-222-2-22-2-22-22-222-2000000000000000000000000000000002i−2i2i−2i
χ3222-2-2-2-22222-2-222-2-22-2-22-22-222-200000000000000000000000000000000−2i2i−2i2i
χ3322-2-2-2-22222-2-2-2-222-222-2-22-22-2200000000000000000000000000002i−2i−2i2i0000
χ3422-2-2-2-22222-2-2-2-222-222-2-22-22-220000000000000000000000000000−2i2i2i−2i0000
χ3522-2-2-2-22222-2-2-2-222-22-222-22-22-2000000000000000000000000000000002i−2i−2i2i
χ3622-2-2-2-22222-2-2-2-222-22-222-22-22-200000000000000000000000000000000−2i2i2i−2i
χ3722-2-2-2-222-2-22222-2-2-22222-2-22-2-200000000000000002i−2i2i−2i0000000000000000
χ3822-2-2-2-222-2-22222-2-2-22222-2-22-2-20000000000000000−2i2i−2i2i0000000000000000
χ3922-2-2-2-222-2-22222-2-2-22-2-2-222-2220000000022-2-222-2-200000000000000000000
χ4022-2-2-2-222-2-22222-2-2-22-2-2-222-22200000000-2-222-2-22200000000000000000000
χ4122-2-2-2-222-2-222-2-2222-222-222-2-2-200000000000000002i−2i−2i2i0000000000000000
χ4222-2-2-2-222-2-222-2-2222-222-222-2-2-20000000000000000−2i2i2i−2i0000000000000000
χ4322-2-2-2-222-2-222-2-2222-2-2-22-2-22220000000022-2-2-2-22200000000000000000000
χ4422-2-2-2-222-2-222-2-2222-2-2-22-2-222200000000-2-22222-2-200000000000000000000
χ45444-44-4-4-44-44-4000000000000000000004-40000000000000000000000000000
χ46444-44-4-4-44-44-400000000000000000000-440000000000000000000000000000
χ47444-44-4-4-4-44-44000000000000004-40000000000000000000000000000000000
χ48444-44-4-4-4-44-4400000000000000-440000000000000000000000000000000000
χ4944-44-44-4-44-4-4400000000000000004-400000000000000000000000000000000
χ5044-44-44-4-44-4-440000000000000000-4400000000000000000000000000000000
χ5144-44-44-4-4-444-40000000000000000004-4000000000000000000000000000000
χ5244-44-44-4-4-444-4000000000000000000-44000000000000000000000000000000
χ534-44-4-444-400004i−4i4i−4i0000000000000000002-22-22i−2i2i−2i00000000000000000000
χ544-44-4-444-400004i−4i4i−4i000000000000000000-22-22−2i2i−2i2i00000000000000000000
χ554-44-4-444-40000−4i4i−4i4i0000000000000000002-22-2−2i2i−2i2i00000000000000000000
χ564-44-4-444-40000−4i4i−4i4i000000000000000000-22-222i−2i2i−2i00000000000000000000
χ574-4-444-44-400004i−4i−4i4i0000000000000000002-2-222i−2i−2i2i00000000000000000000
χ584-4-444-44-400004i−4i−4i4i000000000000000000-222-2−2i2i2i−2i00000000000000000000
χ594-4-444-44-40000−4i4i4i−4i0000000000000000002-2-22−2i2i2i−2i00000000000000000000
χ604-4-444-44-40000−4i4i4i−4i000000000000000000-222-22i−2i−2i2i00000000000000000000
χ618-888-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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