# The 8 transitive groups of degree 19 up to conjugacy, computed by sagebrush-group
# (src/transitive.rs, from scratch).  Line k is the group nTk: the standard numbering
# and the names (last field) were matched against GAP's transitive groups library,
# used as an oracle (examples/label_tables.rs).  Per line:
# order ; generators as image lists of 1..19 ; name
19 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 ; C(19)=19
38 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2 ; D(19)=19:2
57 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,8,15,3,10,17,5,12,19,7,14,2,9,16,4,11,18,6,13 ; F_57(19)=19:3
114 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,9,17,6,14,3,11,19,8,16,5,13,2,10,18,7,15,4,12 ; F_114(19)=19:6
171 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,5,9,13,17,2,6,10,14,18,3,7,11,15,19,4,8,12,16 ; F_171(19)=19:9
342 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,3,5,7,9,11,13,15,17,19,2,4,6,8,10,12,14,16,18 ; F_342(19)=19:18
60822550204416000 ; 2,3,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 ; A19
121645100408832000 ; 2,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 ; S19
