Induced representations, transferred Chern classes and Morava rings $K(s)^*(BG)$: Some calculations

The ring structure of Morava $K$-theory $K(s)^*(BG)$ for the 2-group no. 38 of order $32$ from the Hall–Senior list is calculated. Previously it was known that $K(s)^*(BG)$ is evenly generated and for $s=2$ is generated by Chern characteristic classes.