TaixiMillerup

TaixiMillerup is a focused, offline tool for learning finite group theory and representation theory. Whether you are preparing an algebra lecture, checking homework, or exploring small groups for the first time, the app turns abstract definitions into concrete, interactive calculations.

Build and analyze groups Load preset examples including cyclic groups C₂–C₄, the Klein four group V₄, dihedral groups D₃ and D₄, the quaternion group Q₈, and symmetric groups S₃ and S₄—or define your own cyclic group Cₙ (2 ≤ n ≤ 24) or custom structure from generator relations.

See the structure clearly Inspect full Cayley (multiplication) tables with element highlighting and search. View conjugacy classes with class sizes and the class equation. Browse subgroup information and basic group properties for small orders.