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

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

		d	ρ	Label	ID
C₂×C₄²⋊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 = D₄≀C₂	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 = (C₄×C₈)⋊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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