Extensions 1→N→G→Q→1 with N=D4 and Q=Dic10

Direct product G=N×Q with N=D4 and Q=Dic10

Semidirect products G=N:Q with N=D4 and Q=Dic10
extensionφ:Q→Out NdρLabelID
D41Dic10 = Dic5.14D8φ: Dic10/Dic5C2 ⊆ Out D4160D4:1Dic10320,386
D42Dic10 = D4⋊Dic10φ: Dic10/Dic5C2 ⊆ Out D4160D4:2Dic10320,388
D43Dic10 = C20.50D8φ: Dic10/C20C2 ⊆ Out D4160D4:3Dic10320,634
D44Dic10 = C20.38SD16φ: Dic10/C20C2 ⊆ Out D4160D4:4Dic10320,635
D45Dic10 = D45Dic10φ: trivial image160D4:5Dic10320,1211
D46Dic10 = D46Dic10φ: trivial image160D4:6Dic10320,1215

Non-split extensions G=N.Q with N=D4 and Q=Dic10
extensionφ:Q→Out NdρLabelID
D4.1Dic10 = D4.Dic10φ: Dic10/Dic5C2 ⊆ Out D4160D4.1Dic10320,390
D4.2Dic10 = D4.2Dic10φ: Dic10/Dic5C2 ⊆ Out D4160D4.2Dic10320,393
D4.3Dic10 = D4.3Dic10φ: Dic10/C20C2 ⊆ Out D4160D4.3Dic10320,636