/*
L3(8).3 as permutations of a set of cardinality 219.
*/

G<x,y>:=PermutationGroup<219|
(1, 2)(3, 25)(4, 26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 16)(11, 31)(12, 32)(13, 33)
(14, 34)(15, 35)(17, 36)(18, 37)(20, 38)(21, 39)(22, 40)(23, 41)(43, 86)
(44, 163)(45, 74)(46, 89)(47, 108)(48, 153)(49, 164)(50, 88)(51, 55)(52, 152)
(54, 73)(56, 165)(58, 166)(59, 167)(60, 138)(61, 76)(63, 168)(64, 118)(65, 169)
(66, 160)(67, 91)(68, 170)(69, 171)(70, 75)(71, 123)(77, 146)(78, 156)(79, 172)
(80, 139)(81, 113)(82, 173)(84, 174)(85, 111)(87, 135)(92, 175)(93, 176)
(94, 177)(95, 100)(96, 178)(97, 141)(98, 115)(101, 114)(103, 179)(104, 120)
(106, 180)(107, 181)(109, 182)(112, 143)(116, 183)(117, 144)(119, 124)(121, 125)
(122, 126)(127, 184)(128, 185)(129, 136)(130, 186)(131, 187)(132, 154)(133, 148)
(134, 155)(137, 188)(145, 189)(149, 190)(150, 159)(151, 191)(157, 192)(158, 193)
(162, 194)(195, 212)(197, 216)(198, 211)(199, 205)(201, 210)(203, 204)(206, 217)
(207, 208),
    
(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23)(2, 4, 6, 8, 10, 12, 14, 16, 18, 20,
22, 24)(25, 42, 59, 75, 91, 105, 119, 127, 135, 142, 149, 156)
(26, 43, 60, 76, 37, 54, 40, 57, 73, 89, 104, 118)
(27, 44, 61, 77, 92, 106, 120, 128, 136, 143, 150, 157)(28, 45, 62, 78, 93, 107)
(29, 46, 63, 79, 94, 108, 121, 129, 137, 144, 151, 158)
(30, 47, 64, 80, 95, 109, 122, 130, 138, 145, 152, 159)
(31, 48, 65, 81, 96, 110, 123, 131, 139, 146, 153, 160)
(32, 49, 66, 82, 97, 111)(33, 50, 67, 83, 98, 112, 34, 51, 68, 84, 99, 113)
(35, 52, 69, 85, 100, 114, 124, 132, 140, 147, 154, 161)
(36, 53, 70, 86, 101, 115)(38, 55, 71, 87, 102, 116, 125, 133, 41, 58, 74, 90)
(39, 56, 72, 88, 103, 117, 126, 134, 141, 148, 155, 162)
(163, 195, 190, 206, 213, 215, 217, 219, 170, 185, 205, 173)
(164, 191, 181, 167, 197, 209, 214, 216, 218, 166, 177, 201)
(165, 196, 208, 186, 172, 192, 179, 203, 180, 193, 194, 207)
(168, 182, 169, 198, 178, 202, 211, 175, 189, 188, 187, 176)(171, 199, 210)
(174, 200, 184, 204, 212, 183)>;
    
e:=x;
f:=y;