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Caption : figure s1. synthesis of a branched macroinitiator and branched-linear diblock copolymers.

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Caption : figure s2. <sup>1</sup>h nmr spectrum and gpc data of branched-linear diblock copolymers (peg550<sub>3</sub>-<i>b</i>-ps<sub>148</sub>). 

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Caption : figure s3. <sup>1</sup>h nmr spectrum and gpc data of branched-linear diblock copolymers (peg750<sub>3</sub>-<i>b</i>-ps<sub>353</sub>). 

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Caption : figure s4. tga data of pc-750 infiltrated with poly(furfuryl alcohol) polymerized by acid-catalyst.

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Caption : figure s5. cross-sectional tem images of comc-550 (a) and comc-750 (b) prepared by the ultramicrotomy.

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Caption : figure s6. nldft pore size distribution data of comc-550 (a) and comc-750 (b).

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Caption : figure s7. field emission tem image of comc-550 (a) and comc-750 (b).

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Caption : figure s8. (a), (b) cv curves of comc-550 (a) and comc-750 (b) at scan rate of 5, 10, 20, 50, 100 mv s<sup>-1</sup>. 

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Caption : figure s9. (a), (b) gcd profiles of comc-550 (a) and comc-750 (b) at current densities of 0.5, 1, 2, 5 a g<sup>-1</sup>.