The primitive permutation groups of degree less than 2500
The primitive permutation groups of degree less than 2500
The primitive permutation groups of degree less than 2500
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Table 9: Type H: Sporadic GroupsPrimitive Degree Stabiliser H = Soc(G) Rank Size <strong>of</strong>Group G d in G N = N Sd (H) <strong>of</strong> N CohortM 12 1320 A 4 × S 3 H.2 22 2Out = 2M 12 : 2 1584 S 5 H.2 27 1J 1 1045 2 3 : 7 : 3 H 11 1Out = 1 1463 2 × A 5 H 22 11540 19 : 6 H 21 11596 11 : 10 H 19 1J 2 1008 A 5 × D 10 H.2 8 2Out = 2 1800 L 3 (2) : 2 H.2 14 22016 5 2 : D 12 H.2 12 2M 23 1288 M 11 H 4 1Out = 1 1771 2 4 : (3 × A 5 ) : 2 H 8 1HS 1100 L 3 (4).2 1 H.2 5 2Out = 2 1100 S 8 H.2 5 2M 24 1288 M 12 : 2 H 3 1Out = 1 1771 2 6 : 3 · S 6 H 4 12024 L 3 (4) : S 3 H 5 1McL 2025 M 22 H 4 1Out = 2He 2058 S 4 (4) : 2 H.2 4 2Out = 2Suz 1782 G 2 (4) H.2 3 2Out = 2Co 2 2300 U 6 (2) : 2 H 3 1Out = 122
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