# The 9 transitive groups of degree 13 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..13 ; name
13 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 ; C(13)=13
26 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 1,13,12,11,10,9,8,7,6,5,4,3,2 ; D(13)=13:2
39 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 1,4,7,10,13,3,6,9,12,2,5,8,11 ; F_39(13)=13:3
52 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 1,9,4,12,7,2,10,5,13,8,3,11,6 ; F_52(13)=13:4
78 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 1,5,9,13,4,8,12,3,7,11,2,6,10 ; F_78(13)=13:6
156 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 1,3,5,7,9,11,13,2,4,6,8,10,12 ; F_156(13)=13:12
5616 ; 1,8,9,10,5,6,7,11,13,12,2,4,3 6,2,9,12,5,7,1,8,13,4,11,10,3 1,2,3,4,8,9,10,11,12,13,5,6,7 3,2,4,1,5,9,13,8,12,7,11,6,10 1,2,3,4,6,7,5,9,10,8,12,13,11 1,3,4,2,5,6,7,9,10,8,13,11,12 ; L(13)=PSL(3,3)
3113510400 ; 2,3,1,4,5,6,7,8,9,10,11,12,13 2,3,4,5,6,7,8,9,10,11,12,13,1 ; A13
6227020800 ; 2,1,3,4,5,6,7,8,9,10,11,12,13 2,3,4,5,6,7,8,9,10,11,12,13,1 ; S13
