Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₄₂

Direct product G=NxQ with N=C₂xC₄ and Q=C₄₂

		d	ρ	Label	ID
C₂²xC₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁C₄₂ = C₂²:C₄xC₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂xC₄	168		(C2xC4):1C42	336,107
(C₂xC₄):₂C₄₂ = D₄xC₄₂	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂xC₄	168		(C2xC4):2C42	336,205
(C₂xC₄):₃C₄₂ = C₄oD₄xC₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂xC₄	168	2	(C2xC4):3C42	336,207

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁C₄₂ = C₄:C₄xC₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂xC₄	336		(C2xC4).1C42	336,108
(C₂xC₄).₂C₄₂ = M₄(2)xC₂₁	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂xC₄	168	2	(C2xC4).2C42	336,110
(C₂xC₄).₃C₄₂ = Q₈xC₄₂	φ: C₄₂/C₂₁ → C₂ ⊆ Aut C₂xC₄	336		(C2xC4).3C42	336,206

Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C42