# The 10 transitive groups of degree 17 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..17 ; name
17 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 ; C(17)=17
34 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2 ; D(17)=17:2
68 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,14,10,6,2,15,11,7,3,16,12,8,4,17,13,9,5 ; F_68(17)=17:4
136 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,10,2,11,3,12,4,13,5,14,6,15,7,16,8,17,9 ; F_136(17)=17:8
272 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,4,7,10,13,16,2,5,8,11,14,17,3,6,9,12,15 ; F_272(17)=17:16
4080 ; 2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,17 17,2,10,15,14,12,8,7,16,3,13,6,11,5,4,9,1 1,5,9,13,4,8,12,16,7,3,15,11,6,2,14,10,17 ; L(17)=PSL(2,16)
8160 ; 2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,17 17,2,10,15,14,12,8,7,16,3,13,6,11,5,4,9,1 1,5,9,13,4,8,12,16,7,3,15,11,6,2,14,10,17 1,2,4,3,6,5,7,8,16,15,13,14,11,12,10,9,17 ; L(17):2=<PZL(2,16)
16320 ; 2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,17 17,2,10,15,14,12,8,7,16,3,13,6,11,5,4,9,1 1,5,9,13,4,8,12,16,7,3,15,11,6,2,14,10,17 1,2,5,6,4,3,8,7,13,14,9,10,16,15,12,11,17 ; L(17):4=PYL(2,16)
177843714048000 ; 2,3,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 ; A17
355687428096000 ; 2,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 ; S17
