Extensions 1→N→G→Q→1 with N=C7 and Q=C4×D5

Direct product G=N×Q with N=C7 and Q=C4×D5
dρLabelID
D5×C281402D5xC28280,20

Semidirect products G=N:Q with N=C7 and Q=C4×D5
extensionφ:Q→Aut NdρLabelID
C71(C4×D5) = D70.C2φ: C4×D5/Dic5C2 ⊆ Aut C71404+C7:1(C4xD5)280,9
C72(C4×D5) = C4×D35φ: C4×D5/C20C2 ⊆ Aut C71402C7:2(C4xD5)280,25
C73(C4×D5) = D5×Dic7φ: C4×D5/D10C2 ⊆ Aut C71404-C7:3(C4xD5)280,8


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