Google workspace groups

Hi all.
I have a configured idp google workspace, everything works fine, when I click on test I see my groups etc. Now I wanted to configure authorization in grafana via jwt which cloudflare provides and based on google workspace groups give access rights, but there are no groups in jwt. Is there any way to throw groups in jwt? All I have in jwt is this.

  "iat": xxxxx,
  "type": "app",
  "aud": "xxxxx",
  "exp": 1712921938,
  "iss": "",
  "email": "[email protected]",
  "device_id": "xxxxx",
  "sub": "xxxxx"