Extensions 1→N→G→Q→1 with N=C₆.₇S₄ and Q=C₂

Direct product G=N×Q with N=C₆.₇S₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆.₇S₄		72		C2xC6.7S4	288,916

Semidirect products G=N:Q with N=C₆.₇S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.₇S₄⋊₁C₂ = Dic₃×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₇S₄	36	6-	C6.7S4:1C2	288,853
C₆.₇S₄⋊₂C₂ = S₃×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₇S₄	36	6	C6.7S4:2C2	288,856
C₆.₇S₄⋊₃C₂ = D₆⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₇S₄	36	6	C6.7S4:3C2	288,857
C₆.₇S₄⋊₄C₂ = (C₂×C₆)⋊₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₇S₄	36	6	C6.7S4:4C2	288,917
C₆.₇S₄⋊₅C₂ = C₄×C₃⋊S₄	φ: trivial image	36	6	C6.7S4:5C2	288,908

Non-split extensions G=N.Q with N=C₆.₇S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.₇S₄.₁C₂ = Dic₃.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₇S₄	72	6-	C6.7S4.1C2	288,852
C₆.₇S₄.₂C₂ = A₄⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.₇S₄	72	6-	C6.7S4.2C2	288,907

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