Black Box Algorithms

We provide two types of black box algorithm.

We have provided checkers for all groups except 3D4(3). For those groups where standard generators are defined in this thesis (marked with an asterisk `*' below) we have provided a finder as well.

Group New std gens Finder Checker
M11   Finder Checker  
M12   Finder Checker  
M22   Finder Checker  
M23   Finder Checker  
M24   Finder Checker 5
HS   Finder Checker  
Suz   Finder Checker  
J1   Finder Checker  
J2   Finder Checker  
J3   Finder Checker 10
J4   Finder Checker  
Ly   Finder Checker  
O'N   Finder Checker  
He   Finder Checker  
HN   Finder Checker 15
Th   Finder Checker  
Ru   Finder Checker  
Co1   Finder Checker  
McL   Finder Checker  
Co2   Finder Checker 20
Co3   Finder Checker  
B   Finder Checker  
M   Finder Checker  
F22   Finder Checker  
F23   Finder Checker 25
F24   Finder Checker  
A5     Checker  
A6     Checker  
A7   Finder Checker  
A8   Finder Checker 30
A9   Finder Checker  
A10   Finder Checker  
A11   Finder Checker  
A12   Finder Checker  
A13   Finder Checker 35
A14   Finder Checker  
A15 * Finder Checker  
A16 * Finder Checker  
A17 * Finder Checker  
A18 * Finder Checker 40
A19 * Finder Checker  
A20 * Finder Checker  
A21 * Finder Checker  
A22 * Finder Checker  
A23 * Finder Checker 45
G2(3)     Checker  
G2(4)     Checker  
G2(5)     Checker  
Sz(8)     Checker  
Sz(32)     Checker 50
TF42     Checker  
3D4(2)     Checker  
3D4(3)        
L2(7)   Finder Checker  
L2(8)   Finder Checker 55
L2(11)   Finder Checker  
L2(13)   Finder Checker  
L2(16)   Finder Checker  
L2(17)   Finder Checker  
L2(19)   Finder Checker 60
L2(23)   Finder Checker  
L2(25)   Finder Checker  
L2(27)   Finder Checker  
L2(29)   Finder Checker  
L2(31)   Finder Checker 65
L2(32)     Checker  
L3(3)   Finder Checker  
L3(4)   Finder Checker  
L3(5)   Finder Checker  
L3(7)   Finder Checker 70
L3(8)   Finder Checker  
L3(9)   Finder Checker  
L3(11)   Finder Checker  
L3(13) * Finder Checker  
L4(3)     Checker 75
L4(4) * Finder Checker  
L4(5) * Finder Checker  
L5(2)     Checker  
L5(3) * Finder Checker  
L6(2)     Checker 80
L7(2)     Checker  
U3(3)     Checker  
U3(4)     Checker  
U3(5)     Checker  
U3(7)     Checker 85
U3(8)     Checker  
U3(9) * Finder Checker  
U3(11)     Checker  
U3(13) * Finder Checker  
U3(16) * Finder Checker 90
U4(2)     Checker  
U4(3)     Checker  
U4(4) * Finder Checker  
U4(5) * Finder Checker  
U5(2)     Checker 95
U5(3)     Checker  
U5(4) * Finder Checker  
U6(2)     Checker  
U6(3)   Finder Checker  
U7(2)   Finder Checker 100
U8(2) * Finder Checker  
U9(2) * Finder Checker  
O7(3)     Checker  
O8+(2)     Checker  
O8-(2)     Checker 105
O8-(3)     Checker  
O10+(2) * Finder Checker  
O10-(2)     Checker  
S4(4)     Checker  
S4(5)     Checker 110
S4(7)     Checker  
S4(8) * Finder Checker  
S4(9) * Finder Checker  
S4(11) * Finder Checker  
S4(13) * Finder Checker 115
S4(17) * Finder Checker  
S4(19) * Finder Checker  
S6(2)     Checker  
S6(3)     Checker  
S6(5) * Finder Checker 120
S6(7) * Finder Checker  
S8(2)     Checker  
S8(3) * Finder Checker  
S10(2)   Finder Checker  
S10(3) * Finder Checker 125

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