It can best be described as being formed by two augmented triads a minor 3rd apart (C aug & Eb aug) or, with different inversions, a half step apart. (C aug & C# aug).
It can also be viewed as being made up of three Major triads, a Major 3rd apart. From C, the resulting hexatonic scales would be:
C - Eb - E - G - G# - B (stepwise: -3, 1/2, -3, 1/2, -3), or C - C# - E - F - G# - A (1/2, -3, 1/2, -3, 1/2).
The Augmented Scale can have three tonal centers and divides the octave into three equal parts. Therefore, there are really only 4 mutually exclusive Augmented Scales.