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Groups 1 and 3 are the same because you've defined them to be the same.

/group= (1 of 4) (facestrustworthy=trustworthyset1; facesuntrustworthy=untrustworthyset2; trustworthybehaviors=trustworthybeh; untrustworthybehaviors=untrustworthybeh)
...
/group= (3 of 4) (facestrustworthy=trustworthyset1; facesuntrustworthy=untrustworthyset2; trustworthybehaviors=trustworthybeh; untrustworthybehaviors=untrustworthybeh)

The same is true for groups 2 and 4.

So, I'm actually not sure what the question is. It's also completely unclear what kind of elements "trustworthyset1" etc. actually refer to.

Thank you very much for the quick reply. Actually, I have 4 different groups. First two groups are in compatible condition, while last two groups are in incompatible condition. I may define the groups as:

Group 1: Set 1 Trustworthy Faces & Trustworthy behaviors and Set 2 Untrustworthy Faces & Untrustworthy behaviors (compatible condition)
Group 2: Set 2 Trustworthy Faces & Trustworthy behaviors and Set 1 Untrustworthy Faces & Untrustworthy behaviors (compatible condition)
Group 3: Set 1 Trustworthy Faces & Untrustworthy behaviors and Set 2 Untrustworthy Faces & Trustworthy behaviors (incompatible condition)
Group 4: Set 2 Trustworthy Faces & Untrustworthy behaviors and Set 1 Untrustworthy Faces & Trustworthy behaviors (incompatible condition)

I have tried to define the groups by:

<variables>
/group= (1 of 4) (facestrustworthy=trustworthyset1; facesuntrustworthy=untrustworthyset2; trustworthybehaviors=trustworthybeh; untrustworthybehaviors=untrustworthybeh)
/group= (2 of 4) (facestrustworthy=trustworthyset2; facesuntrustworthy=untrustworthyset1; trustworthybehaviors=trustworthybeh; untrustworthybehaviors=untrustworthybeh)
/group= (3 of 4) (facestrustworthy=trustworthyset1; facesuntrustworthy=untrustworthyset2; trustworthybehaviors=trustworthybeh; untrustworthybehaviors=untrustworthybeh)
/group= (4 of 4) (facestrustworthy=trustworthyset2; facesuntrustworthy=untrustworthyset1; trustworthybehaviors=trustworthybeh; untrustworthybehaviors=untrustworthybeh)
/ groupassignment = subjectnumber
</variables>

However, here Group 1 and Group 3; and Group 2 and Group 4 appear to be the same. However, in Groups 1 and 2, trustworthy faces pair with trustworthy behaviors and untrustworthy faces pair with untrustworthy behaviors. And in Groups 3 and 4 the opposite (trustworthy faces pair with untrustworthy behaviors, etc.). How can I show this difference while defining the groups? To be more clear, how can I define these different pairings in different conditions?

And, in this case, do I need to define four different experiments instead of two?

You create two <expt> elements in the script -- one that runs the "compatible" condition, one that runs the "incompatible" condition -- and assign participants to one of the two via the /subjects and /groupassignment attributes:

<expt>
/ subjects = (1 of 2)
/ groupassignment = groupnumber
/ blocks = [... blocks for the compatible condition ...]
</expt>

<expt>
/ subjects = (2 of 2)
/ groupassignment = groupnumber
/ blocks = [... blocks for the incompatible condition ...]
</expt>

If you have two scripts instead -- one compatible, one incompatible -- you can do the same with <batch>, i.e. assign participants to one of the two scripts.

<batch>
/ subjects = (1 of 2)
/ groupassignment = groupnumber
/ file = "compatible.iqx"
</batch>

<batch>
/ subjects = (2 of 2)
/ groupassignment = groupnumber
/ file = "incompatible.iqx"
</batch>

Under Inquisit Lab, you simply enter a group number: An odd number will run the 1st condition, and even number will run the 2nd condition. Under Inquisit Web, a random group number will be generated (by default), i.e. assignment to one of the conditions will be random.

Also see: https://www.millisecond.com/forums/Topic13856.aspx