# The 7 transitive groups of degree 23 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..23 ; name
23 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 ; C(23)
46 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 1,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2 ; D(23)=23:2
253 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 1,3,5,7,9,11,13,15,17,19,21,23,2,4,6,8,10,12,14,16,18,20,22 ; F(23)=23:11
506 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 1,6,11,16,21,3,8,13,18,23,5,10,15,20,2,7,12,17,22,4,9,14,19 ; AGL(1,23)
10200960 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 1,3,5,7,9,11,13,15,17,19,21,23,2,4,6,8,10,12,14,16,18,20,22 1,2,9,5,19,6,10,23,7,17,18,11,4,13,16,21,3,8,14,15,22,20,12 1,21,22,13,5,10,3,15,17,8,4,9,18,7,20,6,14,19,2,23,11,12,16 1,2,16,17,14,12,4,22,10,9,8,3,11,19,15,6,18,7,21,23,5,13,20 1,2,3,4,9,15,8,20,10,5,17,11,16,19,18,23,12,6,21,7,14,22,13 1,2,3,16,7,11,5,14,9,18,6,12,13,8,21,4,20,10,19,17,15,23,22 1,2,3,9,5,19,18,15,22,10,21,8,7,17,12,11,23,13,20,6,16,4,14 1,2,3,12,5,13,15,18,7,11,16,20,22,17,9,10,23,19,8,4,21,6,14 1,2,3,4,5,15,16,11,22,9,13,20,8,23,18,19,14,6,7,21,12,10,17 ; M(23)
12926008369442488320000 ; 2,3,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 ; A23
25852016738884976640000 ; 2,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 ; S23
