Extensions 1→N→G→Q→1 with N=C₇×C₃⋊D₄ and Q=C₂

Direct product G=N×Q with N=C₇×C₃⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₃⋊D₄		168		C14xC3:D4	336,193

Semidirect products G=N:Q with N=C₇×C₃⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₃⋊D₄)⋊₁C₂ = C₄₂.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊D₄	168	4-	(C7xC3:D4):1C2	336,153
(C₇×C₃⋊D₄)⋊₂C₂ = Dic₃.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊D₄	168	4	(C7xC3:D4):2C2	336,155
(C₇×C₃⋊D₄)⋊₃C₂ = D₇×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊D₄	84	4	(C7xC3:D4):3C2	336,161
(C₇×C₃⋊D₄)⋊₄C₂ = D₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊D₄	84	4+	(C7xC3:D4):4C2	336,163
(C₇×C₃⋊D₄)⋊₅C₂ = S₃×C₇×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊D₄	84	4	(C7xC3:D4):5C2	336,188
(C₇×C₃⋊D₄)⋊₆C₂ = C₇×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊D₄	168	4	(C7xC3:D4):6C2	336,189
(C₇×C₃⋊D₄)⋊₇C₂ = C₇×C₄○D₁₂	φ: trivial image	168	2	(C7xC3:D4):7C2	336,187

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