Extensions 1→N→G→Q→1 with N=C₃₅ and Q=C₂×C₆

Direct product G=N×Q with N=C₃₅ and Q=C₂×C₆

		d	ρ	Label	ID
C₂×C₂₁₀		420		C2xC210	420,41

Semidirect products G=N:Q with N=C₃₅ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₅⋊(C₂×C₆) = D₅×F₇	φ: C₂×C₆/C₁ → C₂×C₆ ⊆ Aut C₃₅	35	12+	C35:(C2xC6)	420,16
C₃₅⋊₂(C₂×C₆) = C₂×C₅⋊F₇	φ: C₂×C₆/C₂ → C₆ ⊆ Aut C₃₅	70	6+	C35:2(C2xC6)	420,19
C₃₅⋊₃(C₂×C₆) = C₁₀×F₇	φ: C₂×C₆/C₂ → C₆ ⊆ Aut C₃₅	70	6	C35:3(C2xC6)	420,17
C₃₅⋊₄(C₂×C₆) = C₂×D₅×C₇⋊C₃	φ: C₂×C₆/C₂ → C₆ ⊆ Aut C₃₅	70	6	C35:4(C2xC6)	420,18
C₃₅⋊₅(C₂×C₆) = C₃×D₅×D₇	φ: C₂×C₆/C₃ → C₂² ⊆ Aut C₃₅	105	4	C35:5(C2xC6)	420,24
C₃₅⋊₆(C₂×C₆) = C₂×C₁₀×C₇⋊C₃	φ: C₂×C₆/C₂² → C₃ ⊆ Aut C₃₅	140		C35:6(C2xC6)	420,31
C₃₅⋊₇(C₂×C₆) = C₆×D₃₅	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₅	210	2	C35:7(C2xC6)	420,36
C₃₅⋊₈(C₂×C₆) = D₇×C₃₀	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₅	210	2	C35:8(C2xC6)	420,34
C₃₅⋊₉(C₂×C₆) = D₅×C₄₂	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₅	210	2	C35:9(C2xC6)	420,35

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