Lutter's Op. 42 is a late-Romantic character piece that emphasizes technical bravura and keyboard color. It is notable for its exploration of wide-spanning arpeggiated figures across the register.
Students will need to focus on securing large, rapid leaps and maintaining voicing across the wide-spaced texture.
Comparable difficulty and character — good candidates for what to learn next.
Capriccio for Piano (Op.42) is rated Henle level 6 of 9 — advanced repertoire, roughly ABRSM grades 7–8. In the RCM system it corresponds to about level 8.
You should be comfortable at Henle level 6 — meaning you can already play level 5–6 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Capriccio for Piano (Op.42) lasts about 5 minutes.
Capriccio for Piano (Op.42) is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include "rüh, wenn die Fanfaren klingen" - Marsch zum Einzug der Sportler by Wilhelm Lutter, Capriccio for Piano by Wilhelm Lutter, Caprice espagnol by Moritz Moszkowski — see the full similar-pieces list on this page.