Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₄₂

Direct product G=N×Q with N=C₂×C₄ and Q=C₄₂

		d	ρ	Label	ID
C₂²×C₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₄₂ = C₂²⋊C₄×C₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂×C₄	168		(C2xC4):1C42	336,107
(C₂×C₄)⋊₂C₄₂ = D₄×C₄₂	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂×C₄	168		(C2xC4):2C42	336,205
(C₂×C₄)⋊₃C₄₂ = C₄○D₄×C₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂×C₄	168	2	(C2xC4):3C42	336,207

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₄₂ = C₄⋊C₄×C₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂×C₄	336		(C2xC4).1C42	336,108
(C₂×C₄).₂C₄₂ = M₄(2)×C₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂×C₄	168	2	(C2xC4).2C42	336,110
(C₂×C₄).₃C₄₂ = Q₈×C₄₂	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂×C₄	336		(C2xC4).3C42	336,206

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C42