Extensions 1→N→G→Q→1 with N=C7 and Q=C5×D4

Direct product G=N×Q with N=C7 and Q=C5×D4
dρLabelID
D4×C351402D4xC35280,30

Semidirect products G=N:Q with N=C7 and Q=C5×D4
extensionφ:Q→Aut NdρLabelID
C71(C5×D4) = C5×D28φ: C5×D4/C20C2 ⊆ Aut C71402C7:1(C5xD4)280,16
C72(C5×D4) = C5×C7⋊D4φ: C5×D4/C2×C10C2 ⊆ Aut C71402C7:2(C5xD4)280,18


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