13.1 Precedences

The following table lists the index for each of the examples computed together with the precendence on the alphabet used for the length-lexicographical ordering.

Table 3: Indeces and Precedences for the Examples Computed

Example	Index	Precedence on $\Sigma$
$E_1 \vert E$	$1$	$T > t > S > s > R > r$
$(2, 5, 7; 2) \vert E$	$1$	$B > b > A > a$
$G^{3, 7, 17} \vert <ab, c>$	$1$	$C > c > B > b > A > a$
$PSL_2(11) \vert E$	$660$	$B > b > A > a$
$(2, 3, 7; 7) \vert E$	$1092$	$B > b > A > a$
$M_{11}^{(1)} \vert <a>$	$720$	$C > c > B > b > A > a$
$(8, 7 \vert 2, 3) \vert <a^2, a^{-1}b>$	$448$	$B > b > A > a$
$Neu \vert <a, c>$	$240$	$C > c > B > b > A > a$
$Cam(3) \vert E$	$120$	$S > s > R > r$
$G^{3,7,16}\vert E$	$21504$	$C > c > B > b > A > a$
$G(2,4) \vert E$	$3$	$B > b > A > a$
$G(2,6) \vert E$	$5$	$B > b > A > a$
$G(3,3)\vert E$	$16$	$B > b > A > a$