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
C7×C5⋊D41402C7xC5:D4280,23

Semidirect products G=N:Q with N=C7 and Q=C5⋊D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C5⋊D4) = C5⋊D28φ: C5⋊D4/Dic5 → C2 ⊆ Aut C71404+C7:1(C5:D4)280,11
C7⋊2(C5⋊D4) = C35⋊D4φ: C5⋊D4/D10 → C2 ⊆ Aut C71404-C7:2(C5:D4)280,10
C7⋊3(C5⋊D4) = C35⋊7D4φ: C5⋊D4/C2×C10 → C2 ⊆ Aut C71402C7:3(C5:D4)280,28


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