Symplectic group:Sp(4,3)

Definition
This group is defined as the member of family::symplectic group of degree four over field:F3. It is denoted $$Sp(4,3)$$.

Explicitly, it is the subgroup of general linear group:GL(4,3) comprising those matrices $$A$$ such that

$$A \begin{pmatrix} 0 & 0 & 1 & 0 \\0 & 0 & 0 & 1 \\-1 & 0 & 0 & 0 \\0 & -1 & 0 & 0 \\\end{pmatrix}A^T = \begin{pmatrix} 0 & 0 & 1 & 0 \\0 & 0 & 0 & 1 \\-1 & 0 & 0 & 0 \\0 & -1 & 0 & 0 \\\end{pmatrix}$$

GAP ID
There is no assigned GAP ID because the order is too large.