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

Direct product G=NxQ with N=C₄²:C₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₄²:C₄		16		C2xC4^2:C4	128,856

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:C₄:₁C₂ = C₄².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	16	4+	C4^2:C4:1C2	128,134
C₄²:C₄:₂C₂ = C₄:₁D₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	16	4+	C4^2:C4:2C2	128,140
C₄²:C₄:₃C₂ = C₂⁴.₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	16	8+	C4^2:C4:3C2	128,859
C₄²:C₄:₄C₂ = C₄.₄D₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	16	8+	C4^2:C4:4C2	128,860
C₄²:C₄:₅C₂ = D₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	8	4+	C4^2:C4:5C2	128,928
C₄²:C₄:₆C₂ = C₄².₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	16	4	C4^2:C4:6C2	128,930
C₄²:C₄:₇C₂ = C₄²:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	16	8+	C4^2:C4:7C2	128,932
C₄²:C₄:₈C₂ = C₄:Q₈:₂₉C₄	φ: trivial image	16	4	C4^2:C4:8C2	128,858

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:C₄.₁C₂ = (C₄xC₈):₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	16	4	C4^2:C4.1C2	128,141
C₄²:C₄.₂C₂ = C₈:C₄:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:C₄	16	8+	C4^2:C4.2C2	128,144

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