Extensions 1→N→G→Q→1 with N=C₃²⋊M₄(2) and Q=C₂

Direct product G=N×Q with N=C₃²⋊M₄(2) and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊M₄(2)		48		C2xC3^2:M4(2)	288,930

Semidirect products G=N:Q with N=C₃²⋊M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊M₄(2)⋊₁C₂ = C₄.S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	24	4	C3^2:M4(2):1C2	288,375
C₃²⋊M₄(2)⋊₂C₂ = C₃²⋊₆C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	48	8-	C3^2:M4(2):2C2	288,431
C₃²⋊M₄(2)⋊₃C₂ = C₃²⋊₇C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	48	8+	C3^2:M4(2):3C2	288,433
C₃²⋊M₄(2)⋊₄C₂ = C₃²⋊D₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	24	4	C3^2:M4(2):4C2	288,872
C₃²⋊M₄(2)⋊₅C₂ = C₃²⋊Q₁₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	48	4	C3^2:M4(2):5C2	288,874
C₃²⋊M₄(2)⋊₆C₂ = C₆².(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	48	8-	C3^2:M4(2):6C2	288,935
C₃²⋊M₄(2)⋊₇C₂ = C₁₂⋊S₃.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	48	8+	C3^2:M4(2):7C2	288,937
C₃²⋊M₄(2)⋊₈C₂ = C₃⋊S₃⋊M₄(2)	φ: trivial image	24	4	C3^2:M4(2):8C2	288,931

Non-split extensions G=N.Q with N=C₃²⋊M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊M₄(2).₁C₂ = (C₃×C₁₂).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	48	4	C3^2:M4(2).1C2	288,376
C₃²⋊M₄(2).₂C₂ = (C₃×C₂₄).C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	48	4	C3^2:M4(2).2C2	288,418
C₃²⋊M₄(2).₃C₂ = C₈.(C₃²⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊M₄(2)	48	4	C3^2:M4(2).3C2	288,419

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