Extensions 1→N→G→Q→1 with N=D4 and Q=C2xC28

Direct product G=NxQ with N=D4 and Q=C2xC28
dρLabelID
D4xC2xC28224D4xC2xC28448,1298

Semidirect products G=N:Q with N=D4 and Q=C2xC28
extensionφ:Q→Out NdρLabelID
D4:1(C2xC28) = D8xC28φ: C2xC28/C28C2 ⊆ Out D4224D4:1(C2xC28)448,845
D4:2(C2xC28) = C7xD8:C4φ: C2xC28/C28C2 ⊆ Out D4224D4:2(C2xC28)448,850
D4:3(C2xC28) = C14xD4:C4φ: C2xC28/C2xC14C2 ⊆ Out D4224D4:3(C2xC28)448,822
D4:4(C2xC28) = C7xC23.36D4φ: C2xC28/C2xC14C2 ⊆ Out D4224D4:4(C2xC28)448,825
D4:5(C2xC28) = C14xC4wrC2φ: C2xC28/C2xC14C2 ⊆ Out D4112D4:5(C2xC28)448,828
D4:6(C2xC28) = C4oD4xC28φ: trivial image224D4:6(C2xC28)448,1300
D4:7(C2xC28) = C7xC22.11C24φ: trivial image112D4:7(C2xC28)448,1301
D4:8(C2xC28) = C7xC23.33C23φ: trivial image224D4:8(C2xC28)448,1303

Non-split extensions G=N.Q with N=D4 and Q=C2xC28
extensionφ:Q→Out NdρLabelID
D4.1(C2xC28) = SD16xC28φ: C2xC28/C28C2 ⊆ Out D4224D4.1(C2xC28)448,846
D4.2(C2xC28) = C7xSD16:C4φ: C2xC28/C28C2 ⊆ Out D4224D4.2(C2xC28)448,848
D4.3(C2xC28) = C7xC8oD8φ: C2xC28/C28C2 ⊆ Out D41122D4.3(C2xC28)448,851
D4.4(C2xC28) = C7xC8.26D4φ: C2xC28/C28C2 ⊆ Out D41124D4.4(C2xC28)448,852
D4.5(C2xC28) = C7xC23.24D4φ: C2xC28/C2xC14C2 ⊆ Out D4224D4.5(C2xC28)448,824
D4.6(C2xC28) = C7xC23.37D4φ: C2xC28/C2xC14C2 ⊆ Out D4112D4.6(C2xC28)448,826
D4.7(C2xC28) = C7xC42:C22φ: C2xC28/C2xC14C2 ⊆ Out D41124D4.7(C2xC28)448,829
D4.8(C2xC28) = C14xC8oD4φ: trivial image224D4.8(C2xC28)448,1350
D4.9(C2xC28) = C7xQ8oM4(2)φ: trivial image1124D4.9(C2xC28)448,1351

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