Product quotient threefolds with K^3 <= 4





1) Group: G= <12, 4>

 Types: 

 T1=[ 0, 2, 2, 2, 3 ] 
 T2=[ 0, 2, 2, 2, 3 ] 
 T3=[ 0, 2, 2, 2, 3 ] 

 Invariants:  pg=0, q2=3, q1=0, e=40, K^3=4 and chi=4 

 Singularities: {* 1/3^^12, 1/2^^44 *}





2) Group: G= <12, 5>

 Types: 

 T1=[ 0, 2, 6, 6 ] 
 T2=[ 0, 2, 6, 6 ] 
 T3=[ 0, 2, 6, 6 ] 

 Invariants:  pg=0, q2=2, q1=0, e=28, K^3=4 and chi=3 

 Singularities: {* 1/6^^4, 1/3^^10, 1/2^^16 *}





3) Group: G= <12, 5>

 Types: 

 T1=[ 0, 2, 6, 6 ] 
 T2=[ 0, 2, 6, 6 ] 
 T3=[ 0, 2, 6, 6 ] 

 Invariants:  pg=0, q2=4, q1=0, e=40, K^3=4 and chi=5 

 Singularities: {* 1/6^^8, 1/3^^8, 1/2^^36 *}





4) Group: G= <12, 5>

 Types: 

 T1=[ 0, 2, 6, 6 ] 
 T2=[ 0, 2, 6, 6 ] 
 T3=[ 0, 2, 6, 6 ] 

 Invariants:  pg=0, q2=1, q1=0, e=24, K^3=4 and chi=2 

 Singularities: {* 1/3^^12, 1/2^^12 *}





5) Group: G= <12, 5>

 Types: 

 T1=[ 0, 2, 6, 6 ] 
 T2=[ 0, 2, 6, 6 ] 
 T3=[ 0, 2, 6, 6 ] 

 Invariants:  pg=1, q2=3, q1=0, e=28, K^3=4 and chi=3 

 Singularities: {* 1/6^^4, 1/3^^10, 1/2^^16 *}





6) Group: G= <12, 5>

 Types: 

 T1=[ 0, 2, 6, 6 ] 
 T2=[ 0, 2, 6, 6 ] 
 T3=[ 0, 2, 6, 6 ] 

 Invariants:  pg=2, q2=3, q1=0, e=24, K^3=4 and chi=2 

 Singularities: {* 1/3^^12, 1/2^^12 *}





7) Group: G= <24, 3>

 Types: 

 T1=[ 0, 3, 3, 4 ] 
 T2=[ 0, 3, 3, 4 ] 
 T3=[ 0, 3, 3, 6 ] 

 Invariants:  pg=0, q2=3, q1=0, e=52, K^3=4 and chi=4 

 Singularities: {* 1/3^^30, 1/2^^12 *}