14.6 $M_{11}^{(1)} \vert <a>$

Table 22: Orderings for $M_{11}^{(1)} \vert <a>$

Ordering	Precedence on $\Sigma$
kbo-A	(C 1) $>$ (c 1) $>$ (B 1) $>$ (b 1) $>$ (A 6) $>$ (a 1)
kbo-B	(C 1) $>$ (c 1) $>$ (B 6) $>$ (b 1) $>$ (A 1) $>$ (a 1)
kbo-C	(C 6) $>$ (c 1) $>$ (B 1) $>$ (b 1) $>$ (A 1) $>$ (a 1)
kbo-a	(C 1) $>$ (c 1) $>$ (B 1) $>$ (b 1) $>$ (A 1) $>$ (a 6)
kbo-b	(C 1) $>$ (c 1) $>$ (B 1) $>$ (b 6) $>$ (A 1) $>$ (a 1)
kbo-c	(C 1) $>$ (c 6) $>$ (B 1) $>$ (b 1) $>$ (A 1) $>$ (a 1)
ll-CcBbAa	C $>$ c $>$ B $>$ b $>$ A $>$ a
syl-l-CcBbAa	C $>$ c $>$ B $>$ b $>$ A $>$ a

Table 23: Maximal/Total number of cosets defined - $M_{11}^{(1)} \vert <a>$

Ordering	NONE	P-ALL	P-G	P-R	I-ALL	I-R	I-R-P
kbo-A	720	720	720	720	720	720	720
kbo-B	720	794	720	720	720	720	810
kbo-C	720	720	720	720	720	720	720
kbo-a	720	720	722	720	720	720	720
kbo-b	720	720	720	720	720	720	720
kbo-c	720	720	740	720	720	720	720
ll-CcBbAa	720	720	720	720	720	720	720
syl-l-CcBbAa	720	720	877	720	720	720	720
Ordering	NONE	P-ALL	P-G	P-R	I-ALL	I-R	I-R-P
kbo-A	735	913	883	919	736	733	933
kbo-B	726	1212	1003	1009	888	766	1227
kbo-C	725	1035	883	968	730	741	1045
kbo-a	727	955	845	891	728	748	962
kbo-b	729	1064	918	931	976	733	1139
kbo-c	726	1022	957	906	730	740	997
ll-CcBbAa	720	1069	860	956	999	760	1056
syl-l-CcBbAa	772	1112	1304	1060	772	768	1106