Finite Group Databasebeta

← Group #241822

Character table — Group #241822

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444448888888822244444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1111-111-1-111-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-11-1-11-1-1-111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1111-11111
χ9111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-1-1-1111-1-1
χ10111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-11-111-1-1-11-111-1-1-111
χ11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-11-1-1-1-1-11111-111-1-1
χ12111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-11-1-111111-11-1-11-1-111
χ13111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-11-1-1-11111-1-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-1111-1-1-1111111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-111-1111-1-1-1-111-1-1
χ172222222222222222-2-2-2-222-2-2-2-2000000000000000000200000200-2000-20000
χ182222222222222222-2-2-2-222-2-2-2-2000000000000000000-200000-200200020000
χ19222222222222-2-2-2-22222-2-2-2-2-2-2000000000000000000200000-200-200020000
χ20222222222222-2-2-2-22222-2-2-2-2-2-2000000000000000000-2000002002000-20000
χ2122222222-2-2-2-2222222-2-2-2-222-2-2000000000000000002000-22-2000000000000
χ2222222222-2-2-2-2222222-2-2-2-222-2-200000000000000000-20002-22000000000000
χ2322222222-2-2-2-22222-2-222-2-2-2-2220000000000000000200-2-2000000020000000
χ2422222222-2-2-2-22222-2-222-2-2-2-2220000000000000000-200220000000-20000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-22200000000000000002002-20000000-20000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2220000000000000000-200-22000000020000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000002000-2-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000-200022-2000000000000
χ2922-22-2-22-22-22-22i2i−2i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000000000002-22i−2i
χ3022-22-2-22-22-22-22i2i−2i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000000000-22−2i2i
χ3122-22-2-22-22-22-22i2i−2i−2i−2i2i−2i2i2i−2i-22-220000000022-2-22i2i−2i−2i00000000000000000000
χ3222-22-2-22-22-22-22i2i−2i−2i−2i2i−2i2i2i−2i-22-2200000000-2-222−2i−2i2i2i00000000000000000000
χ3322-22-2-22-22-22-2−2i−2i2i2i2i−2i2i−2i−2i2i-22-220000000022-2-2−2i−2i2i2i00000000000000000000
χ3422-22-2-22-22-22-2−2i−2i2i2i2i−2i2i−2i−2i2i-22-2200000000-2-2222i2i−2i−2i00000000000000000000
χ3522-22-2-22-22-22-2−2i−2i2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000000000002-2−2i2i
χ3622-22-2-22-22-22-2−2i−2i2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000000000-222i−2i
χ3722-22-2-22-2-22-222i2i−2i−2i2i−2i−2i2i−2i2i2-2-222i2i−2i−2i22-2-20000000000000000000000000000
χ3822-22-2-22-2-22-222i2i−2i−2i2i−2i−2i2i−2i2i2-2-22−2i−2i2i2i-2-2220000000000000000000000000000
χ3922-22-2-22-2-22-222i2i−2i−2i−2i2i2i−2i−2i2i-222-200000000000000000000000002-2002i−2i00000
χ4022-22-2-22-2-22-222i2i−2i−2i−2i2i2i−2i−2i2i-222-20000000000000000000000000-2200−2i2i00000
χ4122-22-2-22-2-22-22−2i−2i2i2i2i−2i−2i2i2i−2i-222-200000000000000000000000002-200−2i2i00000
χ4222-22-2-22-2-22-22−2i−2i2i2i2i−2i−2i2i2i−2i-222-20000000000000000000000000-22002i−2i00000
χ4322-22-2-22-2-22-22−2i−2i2i2i−2i2i2i−2i2i−2i2-2-222i2i−2i−2i-2-2220000000000000000000000000000
χ4422-22-2-22-2-22-22−2i−2i2i2i−2i2i2i−2i2i−2i2-2-22−2i−2i2i2i22-2-20000000000000000000000000000
χ454-444-4-4-4444-4-400000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ464-444-4-4-4444-4-40000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ474-444-4-4-44-4-4440000000000000000000000000022−2222−2200000000000000000000
χ484-444-4-4-44-4-44400000000000000000000000000−2222−222200000000000000000000
χ494-44-44-44-400004i−4i4i−4i00000000002i−2i2i−2i2-22-20000000000000000000000000000
χ504-44-44-44-400004i−4i4i−4i0000000000−2i2i−2i2i-22-220000000000000000000000000000
χ514-44-44-44-40000−4i4i−4i4i00000000002i−2i2i−2i-22-220000000000000000000000000000
χ524-44-44-44-40000−4i4i−4i4i0000000000−2i2i−2i2i2-22-20000000000000000000000000000
χ534-4-4444-4-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ544-4-4444-4-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ554-4-4444-4-4-444-4000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ564-4-4444-4-4-444-400000000000000000000000000−2i22i22i2−2i200000000000000000000
χ574-4-4-4-444400004-4-4400000000002-2-222-2-220000000000000000000000000000
χ584-4-4-4-444400004-4-440000000000-222-2-222-20000000000000000000000000000
χ594-4-4-4-44440000-444-400000000002-2-22-222-20000000000000000000000000000
χ604-4-4-4-44440000-444-40000000000-222-22-2-220000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ6288-8-88-8-88000000000000000000000000000000000000000000000000000000

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