Mathieu group M12

Algebraic structure → Group theory Group theory
Basic notions Subgroup Normal subgroup Group action Quotient group (Semi-)direct product Direct sum Free product Wreath product Group homomorphisms kernel image simple finite infinite continuous multiplicative additive cyclic abelian dihedral nilpotent solvable Glossary of group theory List of group theory topics
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In the area of modern algebra known as group theory, the Mathieu group M₁₂ is a sporadic simple group of order

   12 · 11 · 10 · 9 · 8 = 2⁶ · 3³ · 5 · 11 = 95040.