Finite Group Databasebeta

← Group #340985

Character table — Group #340985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11111111-11
χ51111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-11-11
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-111-1-11111-1-1-1-1-1
χ71111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-11111-1-1-1-1-1-11
χ11111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-111-1-111-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-11111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1-11111-111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111111-1-1111-1-1
χ172222222222-22-2-2-22-2-22222002200000000-2-200000000-20-2200000000000
χ182222222222-22-2-2-22-2-2222200-2-200000000-2-200000000202-200000000000
χ192222222222-22-2-2-22-2-2-2-2-2-2002200000000220000000020-2-200000000000
χ202222222222-22-2-2-22-2-2-2-2-2-200-2-2000000002200000000-202200000000000
χ2122222222-2-22-2222-2-2-20000220022-2-222-2-200000000000-20000000000000
χ2222222222-2-22-2222-2-2-200002200-2-222-2-22200000000000-20000000000000
χ2322222222-2-22-2222-2-2-20000-2-20022-2-2-2-2220000000000020000000000000
χ2422222222-2-22-2222-2-2-20000-2-200-2-22222-2-20000000000020000000000000
χ2522-2-2-2-22222-2-22-22-2-220000000000000000002i2i−2i−2i000000002-22i−2i0000000
χ2622-2-2-2-22222-2-22-22-2-220000000000000000002i2i−2i−2i00000000-22−2i2i0000000
χ2722-2-2-2-22222-2-22-22-2-22000000000000000000−2i−2i2i2i000000002-2−2i2i0000000
χ2822-2-2-2-22222-2-22-22-2-22000000000000000000−2i−2i2i2i00000000-222i−2i0000000
χ292-2-22-222-200202-2-200022−2−22i−2i00002-2002i−2i2−22−22−2i2i2−i2−i20000000000i2−i2000
χ302-2-22-222-200202-2-200022−2−22i−2i0000-2200−2i2i2−2−22−22−i2−i2i2i20000000000i2−i2000
χ312-2-22-222-200202-2-200022−2−2−2i2i00002-200−2i2i2−22−22−2−i2−i2i2i20000000000−i2i2000
χ322-2-22-222-200202-2-200022−2−2−2i2i0000-22002i−2i2−2−22−22i2i2−i2−i20000000000−i2i2000
χ332-2-22-222-200202-2-2000−2−2222i−2i00002-2002i−2i−22−22−22−i2−i2i2i20000000000−i2i2000
χ342-2-22-222-200202-2-2000−2−2222i−2i0000-2200−2i2i−222−22−2i2i2−i2−i20000000000−i2i2000
χ352-2-22-222-200202-2-2000−2−222−2i2i00002-200−2i2i−22−22−22i2i2−i2−i20000000000i2−i2000
χ362-2-22-222-200202-2-2000−2−222−2i2i0000-22002i−2i−222−22−2−i2−i2i2i20000000000i2−i2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-44-404000-400000000000000000000000000000000000022−2200000
χ39444-4-44-4-44-404000-4000000000000000000000000000000000000−222200000
χ40444-4-44-4-4-440-40004000000004i−4i000000000000000000000000000000000
χ41444-4-44-4-4-440-4000400000000−4i4i000000000000000000000000000000000
χ4244-444-4-4-44-40-40004004i−4i4i−4i0000000000000000000000000000000000000
χ4344-444-4-4-44-40-4000400−4i4i−4i4i0000000000000000000000000000000000000
χ4444-444-4-4-4-4404000-400000000000000000000000022−2222−22000000000000000
χ4544-444-4-4-4-4404000-4000000000000000000000000−2222−2222000000000000000
χ4644-4-4-4-444444-4-44-4-44-400000000000000000000000000000000000000000
χ4744-4-4-4-444-4-444-44-44-4400000000000000000000000000000000000000000
χ4844-4-4-4-444-4-4-444-4444-400000000000000000000000000000000000000000
χ494-444-4-4-4400000000002i2−2i2−2i22i20000000022−22000000002i−2i−2i2i000000000000000
χ504-444-4-4-4400000000002i2−2i2−2i22i200000000−222200000000−2i2i2i−2i000000000000000
χ514-444-4-4-440000000000−2i22i22i2−2i20000000022−2200000000−2i2i2i−2i000000000000000
χ524-444-4-4-440000000000−2i22i22i2−2i200000000−2222000000002i−2i−2i2i000000000000000
χ534-44-44-44-40040-4-44000000000004i−4i0000000000000000000000000000000
χ544-44-44-44-40040-4-4400000000000−4i4i0000000000000000000000000000000
χ554-44-44-44-400-4044-40000000000000000000002i2−2i2−2i22i20000000000000000000
χ564-44-44-44-400-4044-4000000000000000000000−2i22i22i2−2i20000000000000000000
χ574-4-44-444-400-40-4440002222−22−22000000000000−222200000000000000000000000
χ584-4-44-444-400-40-444000−22−22222200000000000022−2200000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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