Suzuki sporadic group

A simple finite group of order

$$ 448 345 497 600 = 2 ^ {13} \cdot 3 ^ {7} \cdot 5 ^ {2} \cdot 7 \cdot 11 \cdot 13 , $$

constructed by M. Suzuki as the primitive permutation group of degree 1782 with point stabilizer isomorphic to the Chevalley group $ G _ {2} ( 4) $.

For other sporadic groups, see Sporadic simple group.

Comments

Its Schur multiplier is $ 6 $. Its central covering is the automorphism group of the complex Leech lattice. See [a1].

References

[a1]	J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker, R.A. Wilson, "Atlas of finite groups" , Clarendon Press (1985)