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Extensions 1→N→G→Q→1 with N=C7 and Q=D4.10D4

Direct product G=N×Q with N=C7 and Q=D4.10D4
dρLabelID
C7×D4.10D41124C7xD4.10D4448,864

Semidirect products G=N:Q with N=C7 and Q=D4.10D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(D4.10D4) = D28.4D4φ: D4.10D4/C4.10D4 → C2 ⊆ Aut C71128-C7:1(D4.10D4)448,286
C7⋊2(D4.10D4) = D4.9D28φ: D4.10D4/C4≀C2 → C2 ⊆ Aut C71124-C7:2(D4.10D4)448,360
C7⋊3(D4.10D4) = D28.15D4φ: D4.10D4/C4⋊Q8 → C2 ⊆ Aut C71124C7:3(D4.10D4)448,629
C7⋊4(D4.10D4) = D28.40D4φ: D4.10D4/C8.C22 → C2 ⊆ Aut C71128-C7:4(D4.10D4)448,739
C7⋊5(D4.10D4) = 2- 1+4.D7φ: D4.10D4/2- 1+4 → C2 ⊆ Aut C71128-C7:5(D4.10D4)448,780


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