0👍
You can use optgroup
as suggested and have it look like this.
Assuming you have a category
level to you model
<div class="col-xl-7">
<select size="sm" class="form-control m-input m-input--air" v-model="programDetailID">
<!-- Add a category for loop here -->
<optgroup v-for="category in categories" :label="category.name">
<option v-if="checkProg==true" v-for="program in category.modelProgram" :value="program.programDetailID">{{program.description}}</option>
</optgroup>
</select>
Source:stackexchange.com