/*
L3(8).3 as permutations of a set of cardinality 73.
*/

G<x,y>:=PermutationGroup<73|
(1, 2)(3, 5)(4, 7)(6, 10)(9, 13)(11, 16)(14, 20)(15, 22)(18, 26)(19, 28)(23, 
    32)(25, 35)(27, 37)(29, 40)(31, 43)(33, 46)(34, 48)(36, 50)(38, 53)(39, 
    55)(41, 56)(42, 49)(44, 52)(45, 57)(47, 61)(51, 64)(54, 65)(58, 67)(59, 
    60)(62, 66)(63, 70)(68, 69),
    
(1, 3, 6, 11, 17, 25, 36, 51, 5, 9, 14, 21)(2, 4, 8, 10, 15, 23, 33, 47, 62, 64,
    61, 69)(7, 12, 18, 27, 38, 54, 22, 31, 44, 59, 68, 26)(13, 19, 29, 41, 57, 
    67, 48, 63, 71, 73, 70, 72)(16, 24, 34, 49)(20, 30, 42, 43, 58, 35)(28, 39, 
    50, 55, 65, 32, 45, 60, 46, 37, 52, 53)(56, 66)>;
    
e:=x;
f:=y;