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Extensions 1→N→G→Q→1 with N=C35 and Q=C2×C4

Direct product G=N×Q with N=C35 and Q=C2×C4
dρLabelID
C2×C140280C2xC140280,29

Semidirect products G=N:Q with N=C35 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C35⋊(C2×C4) = D7×F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C35358+C35:(C2xC4)280,32
C35⋊2(C2×C4) = C2×C7⋊F5φ: C2×C4/C2 → C4 ⊆ Aut C35704C35:2(C2xC4)280,35
C35⋊3(C2×C4) = C14×F5φ: C2×C4/C2 → C4 ⊆ Aut C35704C35:3(C2xC4)280,34
C35⋊4(C2×C4) = D7×Dic5φ: C2×C4/C2 → C22 ⊆ Aut C351404-C35:4(C2xC4)280,7
C35⋊5(C2×C4) = D5×Dic7φ: C2×C4/C2 → C22 ⊆ Aut C351404-C35:5(C2xC4)280,8
C35⋊6(C2×C4) = D70.C2φ: C2×C4/C2 → C22 ⊆ Aut C351404+C35:6(C2xC4)280,9
C35⋊7(C2×C4) = C4×D35φ: C2×C4/C4 → C2 ⊆ Aut C351402C35:7(C2xC4)280,25
C35⋊8(C2×C4) = D7×C20φ: C2×C4/C4 → C2 ⊆ Aut C351402C35:8(C2xC4)280,15
C35⋊9(C2×C4) = D5×C28φ: C2×C4/C4 → C2 ⊆ Aut C351402C35:9(C2xC4)280,20
C35⋊10(C2×C4) = C2×Dic35φ: C2×C4/C22 → C2 ⊆ Aut C35280C35:10(C2xC4)280,27
C35⋊11(C2×C4) = C10×Dic7φ: C2×C4/C22 → C2 ⊆ Aut C35280C35:11(C2xC4)280,17
C35⋊12(C2×C4) = C14×Dic5φ: C2×C4/C22 → C2 ⊆ Aut C35280C35:12(C2xC4)280,22


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