An augmented chord is generally composed using a root/1st, major 3rd and an augmented 5th (or R/1-3-♯5) intervals played simultaneously, however any chord with a raised interval can be given the name "augmented" followed by the interval being raised (ie: Caug6). If there is no number following the aug then it is presumed to be an augmented triad (R/1-3-♯5). Generally written as C⁺ or Caug, it is good practice to simply use an upper case C and a super scripted plus symbol ⁺ (ie: C⁺) to represent it in writing.
The tonality of an augmented chord is dissonant, non-centered and unstable, as opposed to a major chord which is stable and resolved.
Augmented chord profile
|Intervals||root/1st, major 3rd, augmented 5th or R/1-3-♯5|
|Stability||Dissonant, unstable, unresolved|
|Common names (examples in C)||C⁺, Caug, C♯5, C(♯5)|
Augmented chord table
|Chord name||Root||Major third||Augmented fifth|
|C♯⁺||C♯||E♯ (F)||G (A)|
|D♯⁺||D♯||F (G)||A (B)|
|G♯⁺||G♯||B♯ (C)||D (E)|
|A♯⁺||A♯||C (D)||E (F♯)|
|C Augmented chord voicing #1|