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Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C28

Direct product G=N×Q with N=D4 and Q=C2×C28
dρLabelID
D4×C2×C28224D4xC2xC28448,1298

Semidirect products G=N:Q with N=D4 and Q=C2×C28
extensionφ:Q→Out NdρLabelID
D4⋊1(C2×C28) = D8×C28φ: C2×C28/C28 → C2 ⊆ Out D4224D4:1(C2xC28)448,845
D4⋊2(C2×C28) = C7×D8⋊C4φ: C2×C28/C28 → C2 ⊆ Out D4224D4:2(C2xC28)448,850
D4⋊3(C2×C28) = C14×D4⋊C4φ: C2×C28/C2×C14 → C2 ⊆ Out D4224D4:3(C2xC28)448,822
D4⋊4(C2×C28) = C7×C23.36D4φ: C2×C28/C2×C14 → C2 ⊆ Out D4224D4:4(C2xC28)448,825
D4⋊5(C2×C28) = C14×C4≀C2φ: C2×C28/C2×C14 → C2 ⊆ Out D4112D4:5(C2xC28)448,828
D4⋊6(C2×C28) = C4○D4×C28φ: trivial image224D4:6(C2xC28)448,1300
D4⋊7(C2×C28) = C7×C22.11C24φ: trivial image112D4:7(C2xC28)448,1301
D4⋊8(C2×C28) = C7×C23.33C23φ: trivial image224D4:8(C2xC28)448,1303

Non-split extensions G=N.Q with N=D4 and Q=C2×C28
extensionφ:Q→Out NdρLabelID
D4.1(C2×C28) = SD16×C28φ: C2×C28/C28 → C2 ⊆ Out D4224D4.1(C2xC28)448,846
D4.2(C2×C28) = C7×SD16⋊C4φ: C2×C28/C28 → C2 ⊆ Out D4224D4.2(C2xC28)448,848
D4.3(C2×C28) = C7×C8○D8φ: C2×C28/C28 → C2 ⊆ Out D41122D4.3(C2xC28)448,851
D4.4(C2×C28) = C7×C8.26D4φ: C2×C28/C28 → C2 ⊆ Out D41124D4.4(C2xC28)448,852
D4.5(C2×C28) = C7×C23.24D4φ: C2×C28/C2×C14 → C2 ⊆ Out D4224D4.5(C2xC28)448,824
D4.6(C2×C28) = C7×C23.37D4φ: C2×C28/C2×C14 → C2 ⊆ Out D4112D4.6(C2xC28)448,826
D4.7(C2×C28) = C7×C42⋊C22φ: C2×C28/C2×C14 → C2 ⊆ Out D41124D4.7(C2xC28)448,829
D4.8(C2×C28) = C14×C8○D4φ: trivial image224D4.8(C2xC28)448,1350
D4.9(C2×C28) = C7×Q8○M4(2)φ: trivial image1124D4.9(C2xC28)448,1351

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