Extensions 1→N→G→Q→1 with N=C₄₂ and Q=C₁₀

Direct product G=N×Q with N=C₄₂ and Q=C₁₀

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

Semidirect products G=N:Q with N=C₄₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂⋊₁C₁₀ = C₁₀×D₂₁	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₂	210	2	C42:1C10	420,38
C₄₂⋊₂C₁₀ = D₇×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₂	210	2	C42:2C10	420,34
C₄₂⋊₃C₁₀ = S₃×C₇₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₂	210	2	C42:3C10	420,37

Non-split extensions G=N.Q with N=C₄₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂.₁C₁₀ = C₅×Dic₂₁	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₂	420	2	C42.1C10	420,9
C₄₂.₂C₁₀ = C₁₅×Dic₇	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₂	420	2	C42.2C10	420,5
C₄₂.₃C₁₀ = Dic₃×C₃₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₂	420	2	C42.3C10	420,8

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Extensions 1→N→G→Q→1 with N=C42 and Q=C10