  We construct conforming finite elements for the spaces
$H(\text{sym}\,\text{Curl})$ and $H(\text{dev}\,\text{sym}\,\text{Curl})$.
Those are spaces of matrix-valued functions with symmetric or
deviatoric-symmetric $\text{Curl}$ in a Lebesgue space, and they appear in
various models of nonstandard solid mechanics. The finite elements are not
$H(\text{Curl})$-conforming. We show the construction, prove conformity and
unisolvence, and point out optimal approximation error bounds.
