G := sub<Sym( 30 )|
(3, 23, 21, 6, 19, 20, 28, 16, 15, 22, 9, 25, 4, 7)(5, 13, 14, 27, 12, 10, 30, 
    26, 29, 8, 24, 11, 18, 17)
,
(1, 8, 2)(3, 12, 20)(4, 23, 24)(5, 16, 21)(6, 7, 26)(9, 14, 25)(10, 18, 27)(11, 
    15, 19)(13, 30, 17)(22, 29, 28)
>;
gens := [
[G|
(1, 19, 26)(2, 14, 15)(3, 9, 25)(4, 23, 21)(5, 12, 30)(6, 22, 28)(7, 18, 11)(8, 
    27, 10)(13, 24, 20)(16, 17, 29)
,
(1, 8, 11, 12, 14)(2, 25, 22, 21, 19)(3, 15, 5, 24, 13)(4, 6, 7, 10, 17)(9, 20, 
    30, 18, 28)(16, 29, 27, 26, 23)
,
(1, 18, 16)(2, 4, 12)(3, 13, 20)(5, 7, 27)(6, 19, 26)(8, 23, 21)(9, 10, 15)(11, 
    22, 25)(14, 17, 28)(24, 29, 30)
]
,
[G|
(1, 19, 26)(2, 14, 15)(3, 9, 25)(4, 23, 21)(5, 12, 30)(6, 22, 28)(7, 18, 11)(8, 
    27, 10)(13, 24, 20)(16, 17, 29)
,
(1, 8, 11, 12, 14)(2, 25, 22, 21, 19)(3, 15, 5, 24, 13)(4, 6, 7, 10, 17)(9, 20, 
    30, 18, 28)(16, 29, 27, 26, 23)
,
(1, 3, 10)(2, 11, 20)(4, 29, 16)(5, 25, 9)(6, 23, 18)(7, 30, 8)(12, 19, 21)(13, 
    27, 17)(14, 22, 15)(24, 28, 26)
]
,
[G|
(1, 21, 7, 9, 2)(3, 15, 26, 23, 11)(4, 18, 25, 14, 19)(5, 16, 28, 20, 8)(6, 13, 
    27, 12, 17)(10, 30, 29, 22, 24)
,
(1, 2, 29)(3, 25, 8)(4, 21, 30)(5, 18, 10)(6, 16, 24)(7, 19, 27)(9, 13, 22)(11, 
    12, 14)(15, 20, 26)(17, 23, 28)
,
(1, 6, 12, 4, 13)(2, 9, 17, 16, 29)(3, 8, 26, 5, 27)(7, 10, 23, 22, 30)(11, 15, 
    25, 19, 21)(14, 24, 28, 18, 20)
]
,
[G|
(1, 21, 7, 9, 2)(3, 15, 26, 23, 11)(4, 18, 25, 14, 19)(5, 16, 28, 20, 8)(6, 13, 
    27, 12, 17)(10, 30, 29, 22, 24)
,
(1, 2, 29)(3, 25, 8)(4, 21, 30)(5, 18, 10)(6, 16, 24)(7, 19, 27)(9, 13, 22)(11, 
    12, 14)(15, 20, 26)(17, 23, 28)
,
(1, 10, 9, 24, 27)(2, 19, 25, 11, 21)(3, 17, 13, 18, 12)(4, 30, 14, 5, 29)(6, 
    22, 28, 15, 26)(7, 16, 20, 23, 8)
]
,
[G|
(1, 5, 22, 28, 25, 16, 23)(2, 13, 8, 10, 24, 26, 21)(3, 11, 18, 9, 6, 12, 29)(4,
    17, 30, 19, 20, 14, 15)
,
(1, 5, 15, 17, 2, 19, 18, 10, 22, 23, 16, 29, 13, 4)(3, 25, 24, 11, 26, 28, 8, 
    12, 9, 30, 14, 27, 20, 21)
,
(1, 26, 3, 15, 23, 16, 5)(2, 24, 28, 4, 20, 7, 27)(8, 25, 11, 17, 21, 13, 
    18)(10, 29, 22, 30, 12, 19, 14)
]
,
[G|
(1, 5, 22, 28, 25, 16, 23)(2, 13, 8, 10, 24, 26, 21)(3, 11, 18, 9, 6, 12, 29)(4,
    17, 30, 19, 20, 14, 15)
,
(1, 19, 9, 20, 23, 6, 30, 24, 7, 10, 21, 11, 29, 15)(2, 8, 22, 28, 13, 4, 12, 
    16, 25, 5, 14, 18, 26, 17)
,
(1, 26, 12, 24, 8, 20, 6)(2, 10, 27, 7, 4, 19, 23)(5, 22, 30, 9, 13, 28, 25)(11,
    14, 16, 18, 21, 17, 15)
]
,
[G|
(1, 22, 25, 23, 5, 28, 16)(2, 8, 24, 21, 13, 10, 26)(3, 18, 6, 29, 11, 9, 12)(4,
    30, 20, 15, 17, 19, 14)
,
(1, 2, 5, 29, 11, 23, 17, 20, 21, 10, 28, 26, 24, 12)(3, 8, 16, 13, 30, 22, 9, 
    6, 14, 19, 25, 4, 18, 27)
,
(1, 16, 13, 12, 21, 17, 6)(2, 9, 11, 25, 30, 8, 28)(3, 7, 27, 5, 10, 24, 26)(4, 
    29, 18, 14, 23, 22, 19)
]
,
[G|
(1, 22, 25, 23, 5, 28, 16)(2, 8, 24, 21, 13, 10, 26)(3, 18, 6, 29, 11, 9, 12)(4,
    30, 20, 15, 17, 19, 14)
,
(1, 10, 23, 15, 7, 20, 29, 24, 9, 11, 30, 19, 21, 6)(2, 5, 13, 17, 25, 28, 26, 
    16, 22, 18, 12, 8, 14, 4)
,
(1, 9, 4, 21, 13, 16, 15)(2, 24, 11, 6, 14, 30, 29)(5, 20, 27, 7, 26, 28, 22)(8,
    18, 25, 10, 23, 17, 19)
]
,
[G|
(1, 28, 23, 22, 16, 5, 25)(2, 10, 21, 8, 26, 13, 24)(3, 9, 29, 18, 12, 11, 6)(4,
    19, 15, 30, 14, 17, 20)
,
(1, 24, 14, 8, 16, 17, 13, 9, 10, 18, 12, 2, 25, 28)(3, 20, 22, 11, 29, 26, 30, 
    27, 15, 4, 6, 23, 5, 21)
,
(1, 11, 18, 13, 14, 2, 23)(3, 26, 16, 8, 17, 29, 28)(5, 12, 22, 30, 21, 9, 
    10)(6, 15, 7, 27, 20, 25, 24)
]
,
[G|
(1, 28, 23, 22, 16, 5, 25)(2, 10, 21, 8, 26, 13, 24)(3, 9, 29, 18, 12, 11, 6)(4,
    19, 15, 30, 14, 17, 20)
,
(1, 20, 30, 10, 29, 19, 23, 24, 21, 15, 9, 6, 7, 11)(2, 28, 12, 5, 26, 8, 13, 
    16, 14, 17, 22, 4, 25, 18)
,
(1, 29, 17, 21, 4, 25, 24)(2, 12, 28, 20, 23, 13, 30)(5, 18, 22, 10, 8, 15, 
    14)(7, 9, 26, 16, 19, 11, 27)
]
];