Please refer the below example for ValidationGroup. Here we have group "a" for button1 and group "b" for button2.
<asp:textbox id="TextBox2" runat="server" validationgroup="a" xmlns:asp="#unknown"></asp:textbox>
<asp:requiredfieldvalidator id="RequiredFieldValidator1" runat="server" xmlns:asp="#unknown">
ControlToValidate="TextBox1" ErrorMessage="RequiredFieldValidator"
ValidationGroup="a"></asp:requiredfieldvalidator>
<asp:textbox id="TextBox1" runat="server" validationgroup="b" xmlns:asp="#unknown"></asp:textbox>
<asp:requiredfieldvalidator id="RequiredFieldValidator2" runat="server" xmlns:asp="#unknown">
ControlToValidate="TextBox2" ErrorMessage="RequiredFieldValidator"
ValidationGroup="b"></asp:requiredfieldvalidator>
<asp:button id="Button2" runat="server" text="Button" validationgroup="a" xmlns:asp="#unknown" />
<asp:button id="Button1" runat="server" onclick="Button1_Click" text="Button" xmlns:asp="#unknown">
ValidationGroup="b" />
</asp:button>