Extensions 1→N→G→Q→1 with N=C₄²⋊₃C₄ and Q=C₂

Direct product G=N×Q with N=C₄²⋊₃C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊₃C₄		32		C2xC4^2:3C4	128,857

Semidirect products G=N:Q with N=C₄²⋊₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₃C₄⋊₁C₂ = C₄².₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	16	4	C4^2:3C4:1C2	128,136
C₄²⋊₃C₄⋊₂C₂ = C₈⋊C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	16	8+	C4^2:3C4:2C2	128,138
C₄²⋊₃C₄⋊₃C₂ = C₂⁴.₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	16	8+	C4^2:3C4:3C2	128,859
C₄²⋊₃C₄⋊₄C₂ = C₄⋊Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	32	8-	C4^2:3C4:4C2	128,861
C₄²⋊₃C₄⋊₅C₂ = C₄²⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	16	4	C4^2:3C4:5C2	128,929
C₄²⋊₃C₄⋊₆C₂ = C₄²⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	16	8+	C4^2:3C4:6C2	128,931
C₄²⋊₃C₄⋊₇C₂ = C₄².₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	32	8-	C4^2:3C4:7C2	128,933
C₄²⋊₃C₄⋊₈C₂ = C₄⋊Q₈⋊₂₉C₄	φ: trivial image	16	4	C4^2:3C4:8C2	128,858

Non-split extensions G=N.Q with N=C₄²⋊₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₃C₄.₁C₂ = (C₂×D₄).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	32	8-	C4^2:3C4.1C2	128,139
C₄²⋊₃C₄.₂C₂ = (C₄×C₈)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃C₄	32	4	C4^2:3C4.2C2	128,146

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