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We prove that the automorphism group of an extremal binary self-dual $$[120, 60, 24]$$ [ 120 , 60 , 24 ] code does not contain elements of order $$29$$ 29 . Combining this with the known results in the literature, one obtains that $$|G|$$ | G | divides $$2^a\cdot 3\cdot 5\cdot 7\cdot 19\cdot 23$$ 2 a · 3 · 5 · 7 · 19 · 23 for a non-negative integer ...
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