Finite Group Databasebeta

← Group #337134

Character table — Group #337134

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111-111-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-111-111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111-111
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-111-111-1-1-1-1111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1-11-11
χ13111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-11-1-1-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-111-11-1
χ1722222222222-2-2-2-22-2-20000002222-2-200220000-2-200000-20000000000000
χ1822222222222-2-2-2-22-2-200000022-2-2-2-200-2-20000220000020000000000000
χ1922222222222-2-2-2-22-2-2000000-2-2222200-2-200002200000-20000000000000
χ2022222222222-2-2-2-22-2-2000000-2-2-2-22200220000-2-20000020000000000000
χ2122222222-2-2-22222-2-2-2222222000000-2-2000000000000-20-2200000000000
χ2222222222-2-2-22222-2-2-22222-2-2000000-2-2000000000000202-200000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2220000002200000000000020-2-200000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-200000022000000000000-202200000000000
χ2522-22-2-2-222-220000-20022−2−2002i−2i2i−2i002−22-2i2i2−i2−i20022−2−2000000i2−i20000000
χ2622-22-2-2-222-220000-20022−2−2002i−2i−2i2i002−2-22i2i2−i2−i200−2−222000000−i2i20000000
χ2722-22-2-2-222-220000-20022−2−200−2i2i2i−2i002−2-22−i2−i2i2i200−2−222000000i2−i20000000
χ2822-22-2-2-222-220000-20022−2−200−2i2i−2i2i002−22-2−i2−i2i2i20022−2−2000000−i2i20000000
χ2922-22-2-2-222-220000-200−2−222002i−2i2i−2i00−222-2−i2−i2i2i200−2−222000000−i2i20000000
χ3022-22-2-2-222-220000-200−2−222002i−2i−2i2i00−22-22−i2−i2i2i20022−2−2000000i2−i20000000
χ3122-22-2-2-222-220000-200−2−22200−2i2i2i−2i00−22-22i2i2−i2−i20022−2−2000000−i2i20000000
χ3222-22-2-2-222-220000-200−2−22200−2i2i−2i2i00−222-2i2i2−i2−i200−2−222000000i2−i20000000
χ332-2-222-22-2-2-2222-2-222-200000000000000002i−2i2i−2i00000000002i−2i00002-2000
χ342-2-222-22-2-2-2222-2-222-200000000000000002i−2i2i−2i0000000000−2i2i0000-22000
χ352-2-222-22-2-2-2222-2-222-20000000000000000−2i2i−2i2i00000000002i−2i0000-22000
χ362-2-222-22-2-2-2222-2-222-20000000000000000−2i2i−2i2i0000000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-40004-44-4000000000000000000000000000000000000022−2200000
χ39444-44-4-4-40004-44-40000000000000000000000000000000000000−222200000
χ40444-44-4-4-4000-44-4400000004-400000000000000000000000000000000000
χ41444-44-4-4-4000-44-440000000-4400000000000000000000000000000000000
χ4244-44-4-4-44-44-400004002222−22−2200000000−2222000000000000000000000000000
χ4344-44-4-4-44-44-40000400−22−2222220000000022−22000000000000000000000000000
χ444-444-44-4-44-4-4000040000000000004i−4i00000000000000000000000000000
χ454-444-44-4-44-4-400004000000000000−4i4i00000000000000000000000000000
χ464-444-44-4-4-4440000-400000000000000000022−22−2222000000000000000000000
χ474-444-44-4-4-4440000-4000000000000000000−222222−22000000000000000000000
χ484-44-4-4-444000000000022−2222−22000000000000000022−222-22-2000000000000000
χ494-44-4-4-444000000000022−2222−220000000000000000−2222-22-22000000000000000
χ504-44-4-4-4440000000000−2222−2222000000000000000022−22-22-22000000000000000
χ514-44-4-4-4440000000000−2222−22220000000000000000−22222-22-2000000000000000
χ524-4-444-44-444-444-4-4-4-4400000000000000000000000000000000000000000
χ534-4-444-44-444-4-4-444-44-400000000000000000000000000000000000000000
χ544-4-444-44-4-4-44-4-4444-4400000000000000000000000000000000000000000
χ554-4-4-444-440004-4-440004-4-440000000000000000000000000000000000000
χ564-4-4-444-440004-4-44000-444-40000000000000000000000000000000000000
χ574-4-4-444-44000-444-4000000000000000000000000022−22−2222000000000000000
χ584-4-4-444-44000-444-40000000000000000000000000−222222−22000000000000000
χ5988-8-8-888-8000000000000000000000000000000000000000000000000000

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