Logic Masters Deutschland e.V.

This puzzle was set quite a while ago as part of a series of puzzles with lines that act as multiple constraint types (such as my Equally Quiet series).

Rules:

Normal Sudoku rules apply.

All lines are both German whisper and modular lines.

-- German whisper lines: Consecutive digits along a line must have a difference of at least 5.

-- Modular lines: Each set of three consecutive digits on a line must be one each from [147], [258], and [369].

The given greater-than sign points towards the lower of two neighboring digits.