Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₂₁

Direct product G=N×Q with N=C₂×C₄ and Q=D₂₁

		d	ρ	Label	ID
C₂×C₄×D₂₁		168		C2xC4xD21	336,195

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₂₁ = C₂.D₈₄	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂×C₄	168		(C2xC4):1D21	336,100
(C₂×C₄)⋊₂D₂₁ = C₂×D₈₄	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂×C₄	168		(C2xC4):2D21	336,196
(C₂×C₄)⋊₃D₂₁ = D₈₄⋊₁₁C₂	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂×C₄	168	2	(C2xC4):3D21	336,197

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₂₁ = C₄₂.₄Q₈	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂×C₄	336		(C2xC4).1D21	336,98
(C₂×C₄).₂D₂₁ = C₈₄.C₄	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂×C₄	168	2	(C2xC4).2D21	336,96
(C₂×C₄).₃D₂₁ = C₈₄⋊C₄	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂×C₄	336		(C2xC4).3D21	336,99
(C₂×C₄).₄D₂₁ = C₂×Dic₄₂	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂×C₄	336		(C2xC4).4D21	336,194
(C₂×C₄).₅D₂₁ = C₂×C₂₁⋊C₈	central extension (φ=1)	336		(C2xC4).5D21	336,95
(C₂×C₄).₆D₂₁ = C₄×Dic₂₁	central extension (φ=1)	336		(C2xC4).6D21	336,97

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