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Mapping class groupgroups of $T^2 \times [0, 1]$ and $T^2 \times S^1$

Are the mapping class groupgroups of $T^2 \times [0, 1$] and $T^2 \times S^1$ explicitly known?

Mapping class group of $T^2 \times [0, 1]$ and $T^2 \times S^1$

Are the mapping class group of $T^2 \times [0, 1$] and $T^2 \times S^1$ explicitly known?

Mapping class groups of $T^2 \times [0, 1]$ and $T^2 \times S^1$

Are the mapping class groups of $T^2 \times [0, 1$] and $T^2 \times S^1$ explicitly known?

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Mapping class group of $T^2 \times [0, 1]$ and $T^2 \times S^1$

Are the mapping class group of $T^2 \times [0, 1$] and $T^2 \times S^1$ explicitly known?