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	128,863

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².₃C₄⋊₁C₂ = C₄².₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	32	8-	C4^2.3C4:1C2	128,935
C₄².₃C₄⋊₂C₂ = C₄².₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	16	4	C4^2.3C4:2C2	128,936
C₄².₃C₄⋊₃C₂ = Q₈≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	16	4-	C4^2.3C4:3C2	128,937
C₄².₃C₄⋊₄C₂ = C₄².₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	16	4-	C4^2.3C4:4C2	128,137
C₄².₃C₄⋊₅C₂ = (C₄×C₈).C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	16	4	C4^2.3C4:5C2	128,142
C₄².₃C₄⋊₆C₂ = C₄⋊Q₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	32	8-	C4^2.3C4:6C2	128,865
C₄².₃C₄⋊₇C₂ = (C₂×D₄).₁₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	32	8-	C4^2.3C4:7C2	128,867
C₄².₃C₄⋊₈C₂ = (C₂×D₄).₁₃₅D₄	φ: trivial image	16	4	C4^2.3C4:8C2	128,864

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×Q₈).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	32	4-	C4^2.3C4.1C2	128,143
C₄².₃C₄.₂C₂ = C₈⋊C₄.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₃C₄	32	8-	C4^2.3C4.2C2	128,145

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