Measurement of $$J/\psi $$ <math> <mrow> <mi>J</mi> <mo>/</mo> <mi>ψ</mi> </mrow> </math> decays into final states $$2(\pi ^{+}\pi ^{-})\pi ^{0},K^{+}K^{-}\pi ^{+}\pi ^{-}\pi ^{0},\,2(\pi ^{+}\pi ^{-})$$ <math> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <msup> <mi>π</mi> <mo>+</mo> </msup> <msup> <mi>π</mi> <mo>-</mo> </msup> <mo>)</mo> </mrow> <msup> <mi>π</mi> <mn>0</mn> </msup> <mo>,</mo> <msup> <mi>K</mi> <mo>+</mo> </msup> <msup> <mi>K</mi> <mo>-</mo> </msup> <msup> <mi>π</mi> <mo>+</mo> </msup> <msup> <mi>π</mi> <mo>-</mo> </msup> <msup> <mi>π</mi> <mn>0</mn> </msup> <mo>,</mo> <mspace width='0.166667em'></mspace> <mn>2</mn> <mrow> <mo>(</mo> <msup> <mi>π</mi> <mo>+</mo> </msup> <msup> <mi>π</mi> <mo>-</mo> </msup> <mo>)</mo> </mrow> </mrow> </math> and $$K^{+}K^{-}\pi ^{+}\pi ^{-}$$ <math> <mrow> <msup> <mi>K</mi> <mo>+</mo> </msup> <msup> <mi>K</mi> <mo>-</mo> </msup> <msup> <mi>π</mi> <mo>+</mo> </msup> <msup> <mi>π</mi> <mo>-</mo> </msup> </mrow> </math>

Using the 1.32 $$\hbox {pb}^{-1}$$ pb - 1 statistics collected at the $$J/\psi $$ J / ψ peak with the KEDR detector at the VEPP-4M $$e^{+}e^{-\, }$$ e + e - collider, we measured the branching fractions of $$J/\psi $$ J / ψ meson decays to the final states 2( $$\pi ^{+}\pi ^{-})\pi ^{0}$$ π + π - ) π 0 , $$K^{+}K^{-}\pi ^{+}\pi ^{-}\pi ^{0}$$ K + K - π + π - π 0 , 2( $$\pi ^{+}\pi ^{-})$$ π + π - ) and $$K^{+}K^{-}\pi ^{+}\pi ^{-}$$ K + K - π + π - . The results obtained for the decays $$J/\psi \rightarrow $$ J / ψ → 2( $$\pi ^{+}\pi ^{-})\pi ^{0}$$ π + π - ) π 0 , $$J/\psi \rightarrow K^{+}K^{-}\pi ^{+}\pi ^{-}\pi ^{0}$$ J / ψ → K + K - π + π - π 0 contradict the measurements performed by other groups in the last century, but agree well with recent results of BABAR and BESIII collaborations.