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searching for Rank 3 permutation group 3 found (11 total)

alternate case: rank 3 permutation group

Rudvalis group (731 words) [view diff] exact match in snippet view article find links to article

sporadic groups called the pariahs. The Rudvalis group acts as a rank 3 permutation group on 4060 points, with one point stabilizer being the Ree group 2F4(2)

McLaughlin sporadic group (807 words) [view diff] exact match in snippet view article find links to article

discovered by Jack McLaughlin (1969) as an index 2 subgroup of a rank 3 permutation group acting on the McLaughlin graph with 275 = 1 + 112 + 162 vertices

List of finite simple groups (1,789 words) [view diff] exact match in snippet view article find links to article

Order 2. Outer automorphism group: Order 2. Remarks: It acts as a rank 3 permutation group on the Higman Sims graph with 100 points, and is contained in Co2