I don't know the Stratix series well but since no one else contributed I may be able to provide some general ideas as this is a
Cisco product.
I can't really read the IP addresses on the network diagram. In addition, since you want to route, the subnet masks and gateway addresses are really useful pieces of information. I think you have 10.205 and 10.206 networks and would then assume since you want to route, you have a /16 subnet, or 255.255.0.0.
To do inter VLAN routing, typically you would assign an IP address to an SVI, or a virtual interface linked to the VLAN ID. So each VLAN involved in the routing process should have an IP.
In Settings1, I see a default GW of 10.205.172.1, with the switch assigned IP 10.205.172.2. In Settings2 I see IP address assignment for the switch itself, with a /24 subnet, so my assumption above may not be correct.
Where is the GW, 10.205.172.1? Maybe the reason you can't route to it is because it does not exist? Are the other devices on a different VLAN? On Settings1 sheet 2, I see only VLAN 10 and the native VLAN1. Are these the VLANs you want to route?
I would need more information to be able to troubleshoot this issue further - clearer IP addresses, netmasks, and gateways, and which devices are on which VLAN.