Im having an issue. When you click listItem (whole separated li element) I want to call the onChange function on the checkbox component inside listItem. 
I could easily move that function from checkbox to parent but I will loose the checked prop.
Checking the checkbox itself doesnt work, but just open the console to see the results. I want handleToggle function to fire properly when whole element is clicked (not only checkbox)
  <List>
    {['first', 'second', 'third'].map((name, i) => (
      <ListItem key={i} dense button>
        <ListItemText primary={name} />
        <Checkbox
          disableRipple
          checked={false}
          onChange={(evt, checked) => this.handleToggle(evt, checked, name)}
        />
      </ListItem>
    ))}
  </List>
Edit
I don't want to use state in this component at all. Summarizing - how to pass event from ListItem (parent) to it's children (Checkbox)?
Final edit: I've found out the way how to deal with it. No state needed. Just two simple lines of code.
Since checkbox state is fully controlled by redux, I just moved the onClick func to the ListItem element with one line on code in it's body:
...dispatch(toggle(!this.props.elements[nameOfElement], name));
Anyways thanks to everyone for help. Upvoted every answer.