Extensions 1→N→G→Q→1 with N=C₄xA₄ and Q=C₂

Direct product G=NxQ with N=C₄xA₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xA₄		24		C2xC4xA4	96,196

Semidirect products G=N:Q with N=C₄xA₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xA₄):₁C₂ = C₄:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xA₄	12	6+	(C4xA4):1C2	96,187
(C₄xA₄):₂C₂ = C₄xS₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xA₄	12	3	(C4xA4):2C2	96,186
(C₄xA₄):₃C₂ = D₄xA₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xA₄	12	6+	(C4xA4):3C2	96,197

Non-split extensions G=N.Q with N=C₄xA₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xA₄).₁C₂ = A₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xA₄	24	6-	(C4xA4).1C2	96,185
(C₄xA₄).₂C₂ = A₄:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xA₄	24	3	(C4xA4).2C2	96,65
(C₄xA₄).₃C₂ = Q₈xA₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xA₄	24	6-	(C4xA4).3C2	96,199
(C₄xA₄).₄C₂ = C₈xA₄	φ: trivial image	24	3	(C4xA4).4C2	96,73

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