Finite Group Databasebeta

← Group #278943

Character table — Group #278943

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444444448888888822244444448888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ9111111111111111111-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-1-11
χ10111111111111111111-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1
χ11111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-111-1
χ12111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-11-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-11-11
χ172222222222-2-2-222-2-2-2222200000000-222-222-2-2-2-20000000000000000000000000000
χ182222222222-2-2-222-2-2-2222200000000-2-2-2-2-2-222220000000000000000000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000000002222-2-222-2-20000000000000000000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000000002-2-2222-2-2220000000000000000000000000000
χ2122222222-2-2222-2-22-2-222-2-22222-2-2-2-2-2002000000220000-2-200000000000000000000
χ2222222222-2-2222-2-22-2-222-2-2-2-2-2-22222-2002000000-2-200002200000000000000000000
χ2322222222-2-2222-2-22-2-2-2-2222222-2-2-2-2200-2000000-2-200002200000000000000000000
χ2422222222-2-2222-2-22-2-2-2-222-2-2-2-22222200-2000000220000-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200000000200-2000000002i2i−2i−2i002i2i−2i−2i0000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-200000000200-200000000−2i−2i2i2i00−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22200000000-2002000000002i2i−2i−2i00−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22200000000-200200000000−2i−2i2i2i002i2i−2i−2i0000000000000000
χ29222-2-2-22-22-20002-20002i−2i2i−2ii2i2−i2−i2i2i2−i2−i20000002-22i−2i2−2i2−i2i2−i22−22−22−20000000000000000
χ30222-2-2-22-22-20002-20002i−2i2i−2ii2i2−i2−i2i2i2−i2−i2000000-22−2i2i2−2−i2i2−i2i22−2−22−220000000000000000
χ31222-2-2-22-22-20002-20002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000002-22i−2i−22−i2i2−i2i2−22−22−220000000000000000
χ32222-2-2-22-22-20002-20002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2000000-22−2i2i−22i2−i2i2−i2−222−22−20000000000000000
χ33222-2-2-22-22-20002-2000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000002-2−2i2i−22i2−i2i2−i2−22−22−220000000000000000
χ34222-2-2-22-22-20002-2000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2000000-222i−2i−22−i2i2−i2i2−222−22−20000000000000000
χ35222-2-2-22-22-20002-2000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i20000002-2−2i2i2−2−i2i2−i2i22−22−22−20000000000000000
χ36222-2-2-22-22-20002-2000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i2000000-222i−2i2−2i2−i2i2−i22−2−22−220000000000000000
χ37222-2-2-22-2-22000-220002i−2i−2i2ii2i2−i2−i2−i2−i2i2i202-202i−2i00002−22−2−22−22−i2i2i2−i20000000000000000
χ38222-2-2-22-2-22000-220002i−2i−2i2ii2i2−i2−i2−i2−i2i2i20-220−2i2i00002−2−222−2−22i2−i2−i2i20000000000000000
χ39222-2-2-22-2-22000-220002i−2i−2i2i−i2−i2i2i2i2i2−i2−i202-202i−2i0000−22−222−22−2i2−i2−i2i20000000000000000
χ40222-2-2-22-2-22000-220002i−2i−2i2i−i2−i2i2i2i2i2−i2−i20-220−2i2i0000−222−2−222−2−i2i2i2−i20000000000000000
χ41222-2-2-22-2-22000-22000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i202-20−2i2i0000−22−222−22−2−i2i2i2−i20000000000000000
χ42222-2-2-22-2-22000-22000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20-2202i−2i0000−222−2−222−2i2−i2−i2i20000000000000000
χ43222-2-2-22-2-22000-22000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i202-20−2i2i00002−22−2−22−22i2−i2−i2i20000000000000000
χ44222-2-2-22-2-22000-22000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i20-2202i−2i00002−2−222−2−22−i2i2i2−i20000000000000000
χ452-222-2-2-2222-22-2-2-222-200002-22-22-22-2000000000000000000000000002i2i−2i−2i002i−2i0000
χ462-222-2-2-2222-22-2-2-222-200002-22-22-22-200000000000000000000000000−2i−2i2i2i00−2i2i0000
χ472-222-2-2-2222-22-2-2-222-20000-22-22-22-22000000000000000000000000002i2i−2i−2i00−2i2i0000
χ482-222-2-2-2222-22-2-2-222-20000-22-22-22-2200000000000000000000000000−2i−2i2i2i002i−2i0000
χ492-222-2-2-22-2-2-22-2222-2200002-22-2-22-22000000000000000000000022-2-200002-2000000
χ502-222-2-2-22-2-2-22-2222-2200002-22-2-22-220000000000000000000000-2-2220000-22000000
χ512-222-2-2-22-2-2-22-2222-220000-22-222-22-2000000000000000000000022-2-20000-22000000
χ522-222-2-2-22-2-2-22-2222-220000-22-222-22-20000000000000000000000-2-22200002-2000000
χ5344-4-4-44-440044-400-400000000000000000000000000000000000000002i2−2i22i2−2i200000000
χ5444-4-4-44-440044-400-40000000000000000000000000000000000000000−2i22i2−2i22i200000000
χ5544-4-4-44-4400-4-4400400000000000000000000000000000000000022−2222−22000000000000
χ5644-4-4-44-4400-4-44004000000000000000000000000000000000000−2222−2222000000000000
χ574-444-4-4-44444-44-4-4-4-4400000000000000000000000000000000000000000000000000
χ584-444-4-4-44-4-44-4444-44-400000000000000000000000000000000000000000000000000
χ594-44-444-4-44-4000-4400000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ604-44-444-4-44-4000-440000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ614-44-444-4-4-440004-400000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ624-44-444-4-4-440004-40000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ634-4-4-44-444004-4-400400000000000000000000000000000000000022−22−2222000000000000
χ644-4-4-44-444004-4-4004000000000000000000000000000000000000−222222−22000000000000
χ654-4-4-44-44400-44400-4000000000000000000000000000000000000000022−22−222200000000
χ664-4-4-44-44400-44400-40000000000000000000000000000000000000000−222222−2200000000
χ6788-888-8-8-8000000000000000000000000000000000000000000000000000000000000
χ688-8-88-888-8000000000000000000000000000000000000000000000000000000000000

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