Threefolds isogenous to a product:  

unmixed case, chi=-1 and absolutely faithful G-action:




1) Group: G= <1, 1>

 Types:  

 T1=[ 2 ] 
 T2=[ 2 ] 
 T3=[ 2 ]

 Hodge numbers: h30=8, h20=12, h10=6, h11= 27 and h12=36

 Number of parameters: 9





2) Group: G= <2, 1>

 Types:  

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

 Hodge numbers: h30=8, h20=8, h10=2, h11= 19 and h12=28

 Number of parameters: 9





3) Group: G= <2, 1>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2, 2 ] 
 T2=[ 1, 2, 2 ] 
 T3=[ 2 ]

 Hodge numbers: h30=6, h20=7, h10=3, h11= 17 and h12=24

 Number of parameters: 8





4) Group: G= <2, 1>

 Types:  

 T1=[ 1, 2, 2 ] 
 T2=[ 1, 2, 2 ] 
 T3=[ 2 ]

 Hodge numbers: h30=6, h20=8, h10=4, h11= 19 and h12=26

 Number of parameters: 7





5) Group: G= <3, 1>

 Types:  

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

 Hodge numbers: h30=6, h20=6, h10=2, h11= 15 and h12=22

 Number of parameters: 5





6) Group: G= <4, 2>

 Types:  

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

 Hodge numbers: h30=6, h20=6, h10=2, h11= 15 and h12=22

 Number of parameters: 7





7) Group: G= <4, 2>

 Types:  

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

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 7





8) Group: G= <4, 2>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2 ] 
 T2=[ 0, 2, 2, 2, 2, 2, 2 ] 
 T3=[ 1, 2, 2 ]

 Hodge numbers: h30=5, h20=4, h10=1, h11= 11 and h12=17

 Number of parameters: 7





9) Group: G= <4, 2>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2 ] 
 T2=[ 0, 2, 2, 2, 2, 2, 2 ] 
 T3=[ 1, 2, 2 ]

 Hodge numbers: h30=6, h20=5, h10=1, h11= 13 and h12=20

 Number of parameters: 7





10) Group: G= <4, 2>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2 ] 
 T2=[ 1, 2, 2 ] 
 T3=[ 1, 2, 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 11 and h12=16

 Number of parameters: 6





11) Group: G= <4, 2>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2 ] 
 T2=[ 1, 2, 2 ] 
 T3=[ 1, 2, 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 6





12) Group: G= <4, 1>

 Types:  

 T1=[ 0, 2, 2, 4, 4 ] 
 T2=[ 0, 2, 2, 4, 4 ] 
 T3=[ 2 ]

 Hodge numbers: h30=6, h20=6, h10=2, h11= 15 and h12=22

 Number of parameters: 5





13) Group: G= <5, 1>

 Types:  

 T1=[ 0, 5, 5, 5 ] 
 T2=[ 0, 5, 5, 5 ] 
 T3=[ 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 15 and h12=20

 Number of parameters: 3





14) Group: G= <5, 1>

 Types:  

 T1=[ 0, 5, 5, 5 ] 
 T2=[ 0, 5, 5, 5 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 3





15) Group: G= <5, 1>

 Types:  

 T1=[ 0, 5, 5, 5 ] 
 T2=[ 0, 5, 5, 5 ] 
 T3=[ 2 ]

 Hodge numbers: h30=6, h20=6, h10=2, h11= 11 and h12=18

 Number of parameters: 3





16) Group: G= <6, 1>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2, 2 ] 
 T2=[ 0, 2, 2, 3, 3 ] 
 T3=[ 1, 3 ]

 Hodge numbers: h30=4, h20=3, h10=1, h11= 9 and h12=14

 Number of parameters: 5





17) Group: G= <6, 1>

 Types:  

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

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 5





18) Group: G= <6, 2>

 Types:  

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

 Hodge numbers: h30=6, h20=6, h10=2, h11= 15 and h12=22

 Number of parameters: 5





19) Group: G= <6, 2>

 Types:  

 T1=[ 0, 2, 2, 3, 3 ] 
 T2=[ 0, 3, 6, 6 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 4





20) Group: G= <6, 1>

 Types:  

 T1=[ 0, 2, 2, 3, 3 ] 
 T2=[ 1, 2, 2 ] 
 T3=[ 1, 3 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 11 and h12=16

 Number of parameters: 4





21) Group: G= <6, 2>

 Types:  

 T1=[ 0, 3, 6, 6 ] 
 T2=[ 0, 3, 6, 6 ] 
 T3=[ 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 15 and h12=20

 Number of parameters: 3





22) Group: G= <6, 2>

 Types:  

 T1=[ 0, 3, 6, 6 ] 
 T2=[ 0, 3, 6, 6 ] 
 T3=[ 2 ]

 Hodge numbers: h30=6, h20=6, h10=2, h11= 11 and h12=18

 Number of parameters: 3





23) Group: G= <8, 5>

 Types:  

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

 Hodge numbers: h30=4, h20=2, h10=0, h11= 7 and h12=12

 Number of parameters: 6





24) Group: G= <8, 5>

 Types:  

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

 Hodge numbers: h30=5, h20=3, h10=0, h11= 9 and h12=15

 Number of parameters: 6





25) Group: G= <8, 3>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2, 2 ] 
 T2=[ 0, 2, 2, 2, 4 ] 
 T3=[ 1, 2 ]

 Hodge numbers: h30=4, h20=3, h10=1, h11= 9 and h12=14

 Number of parameters: 5





26) Group: G= <8, 3>

 Types:  

 T1=[ 0, 2, 2, 2, 4 ] 
 T2=[ 0, 2, 2, 2, 4 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 5





27) Group: G= <8, 3>

 Types:  

 T1=[ 0, 2, 2, 2, 4 ] 
 T2=[ 0, 2, 2, 4, 4 ] 
 T3=[ 1, 2, 2 ]

 Hodge numbers: h30=4, h20=3, h10=1, h11= 9 and h12=14

 Number of parameters: 4





28) Group: G= <8, 3>

 Types:  

 T1=[ 0, 2, 2, 2, 4 ] 
 T2=[ 1, 2 ] 
 T3=[ 1, 2, 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 11 and h12=16

 Number of parameters: 4





29) Group: G= <8, 1>

 Types:  

 T1=[ 0, 2, 8, 8 ] 
 T2=[ 0, 2, 8, 8 ] 
 T3=[ 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 15 and h12=20

 Number of parameters: 3





30) Group: G= <8, 1>

 Types:  

 T1=[ 0, 2, 8, 8 ] 
 T2=[ 0, 2, 8, 8 ] 
 T3=[ 2 ]

 Hodge numbers: h30=6, h20=6, h10=2, h11= 11 and h12=18

 Number of parameters: 3





31) Group: G= <8, 4>

 Types:  

 T1=[ 0, 4, 4, 4 ] 
 T2=[ 0, 4, 4, 4 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 3





32) Group: G= <10, 2>

 Types:  

 T1=[ 0, 2, 5, 10 ] 
 T2=[ 0, 2, 5, 10 ] 
 T3=[ 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 15 and h12=20

 Number of parameters: 3





33) Group: G= <10, 2>

 Types:  

 T1=[ 0, 2, 5, 10 ] 
 T2=[ 0, 2, 5, 10 ] 
 T3=[ 2 ]

 Hodge numbers: h30=6, h20=6, h10=2, h11= 11 and h12=18

 Number of parameters: 3





34) Group: G= <10, 2>

 Types:  

 T1=[ 0, 2, 5, 10 ] 
 T2=[ 0, 2, 5, 10 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 3





35) Group: G= <12, 4>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2 ] 
 T2=[ 0, 2, 2, 2, 3 ] 
 T3=[ 1, 3 ]

 Hodge numbers: h30=4, h20=3, h10=1, h11= 9 and h12=14

 Number of parameters: 4





36) Group: G= <12, 4>

 Types:  

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

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 5





37) Group: G= <12, 4>

 Types:  

 T1=[ 0, 2, 2, 2, 3 ] 
 T2=[ 0, 2, 2, 2, 6 ] 
 T3=[ 1, 2, 2 ]

 Hodge numbers: h30=4, h20=3, h10=1, h11= 9 and h12=14

 Number of parameters: 4





38) Group: G= <12, 5>

 Types:  

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

 Hodge numbers: h30=4, h20=4, h10=2, h11= 15 and h12=20

 Number of parameters: 3





39) Group: G= <12, 5>

 Types:  

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

 Hodge numbers: h30=4, h20=4, h10=2, h11= 13 and h12=18

 Number of parameters: 3





40) Group: G= <12, 5>

 Types:  

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

 Hodge numbers: h30=5, h20=5, h10=2, h11= 11 and h12=17

 Number of parameters: 3





41) Group: G= <12, 5>

 Types:  

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

 Hodge numbers: h30=6, h20=6, h10=2, h11= 11 and h12=18

 Number of parameters: 3





42) Group: G= <12, 1>

 Types:  

 T1=[ 0, 3, 4, 4 ] 
 T2=[ 0, 3, 4, 4 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 3





43) Group: G= <16, 11>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2 ] 
 T2=[ 0, 2, 2, 2, 4 ] 
 T3=[ 0, 2, 2, 2, 4 ]

 Hodge numbers: h30=4, h20=2, h10=0, h11= 7 and h12=12

 Number of parameters: 4





44) Group: G= <16, 11>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2 ] 
 T2=[ 0, 2, 2, 2, 4 ] 
 T3=[ 0, 2, 2, 2, 4 ]

 Hodge numbers: h30=3, h20=1, h10=0, h11= 5 and h12=9

 Number of parameters: 4





45) Group: G= <16, 8>

 Types:  

 T1=[ 0, 2, 4, 8 ] 
 T2=[ 0, 2, 4, 8 ] 
 T3=[ 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 13 and h12=18

 Number of parameters: 3





46) Group: G= <16, 8>

 Types:  

 T1=[ 0, 2, 4, 8 ] 
 T2=[ 0, 2, 4, 8 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 11 and h12=17

 Number of parameters: 3





47) Group: G= <24, 12>

 Types:  

 T1=[ 0, 2, 2, 2, 4 ] 
 T2=[ 0, 2, 2, 3, 3 ] 
 T3=[ 0, 3, 4, 4 ]

 Hodge numbers: h30=3, h20=1, h10=0, h11= 5 and h12=9

 Number of parameters: 2





48) Group: G= <24, 8>

 Types:  

 T1=[ 0, 2, 4, 6 ] 
 T2=[ 0, 2, 4, 6 ] 
 T3=[ 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 13 and h12=18

 Number of parameters: 3





49) Group: G= <24, 8>

 Types:  

 T1=[ 0, 2, 4, 6 ] 
 T2=[ 0, 2, 4, 6 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 11 and h12=17

 Number of parameters: 3





50) Group: G= <24, 3>

 Types:  

 T1=[ 0, 3, 3, 4 ] 
 T2=[ 0, 3, 3, 4 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 13 and h12=19

 Number of parameters: 3





51) Group: G= <48, 48>

 Types:  

 T1=[ 0, 2, 2, 2, 2, 2 ] 
 T2=[ 0, 2, 4, 6 ] 
 T3=[ 0, 2, 4, 6 ]

 Hodge numbers: h30=3, h20=1, h10=0, h11= 5 and h12=9

 Number of parameters: 2





52) Group: G= <48, 29>

 Types:  

 T1=[ 0, 2, 3, 8 ] 
 T2=[ 0, 2, 3, 8 ] 
 T3=[ 2 ]

 Hodge numbers: h30=4, h20=4, h10=2, h11= 13 and h12=18

 Number of parameters: 3





53) Group: G= <48, 29>

 Types:  

 T1=[ 0, 2, 3, 8 ] 
 T2=[ 0, 2, 3, 8 ] 
 T3=[ 2 ]

 Hodge numbers: h30=5, h20=5, h10=2, h11= 11 and h12=17

 Number of parameters: 3





54) Group: G= <60, 5>

 Types:  

 T1=[ 0, 2, 2, 2, 3 ] 
 T2=[ 0, 2, 5, 5 ] 
 T3=[ 0, 3, 3, 5 ]

 Hodge numbers: h30=2, h20=0, h10=0, h11= 3 and h12=6

 Number of parameters: 1