Extensions 1→N→G→Q→1 with N=C₃×Dic₁₄ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₁₄ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₁₄		336		C6xDic14	336,174

Semidirect products G=N:Q with N=C₃×Dic₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₄)⋊₁C₂ = C₂₁⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4+	(C3xDic14):1C2	336,35
(C₃×Dic₁₄)⋊₂C₂ = S₃×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4-	(C3xDic14):2C2	336,140
(C₃×Dic₁₄)⋊₃C₂ = D₈₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4+	(C3xDic14):3C2	336,142
(C₃×Dic₁₄)⋊₄C₂ = C₄₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4	(C3xDic14):4C2	336,33
(C₃×Dic₁₄)⋊₅C₂ = D₁₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4	(C3xDic14):5C2	336,141
(C₃×Dic₁₄)⋊₆C₂ = D₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4	(C3xDic14):6C2	336,143
(C₃×Dic₁₄)⋊₇C₂ = C₃×C₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	2	(C3xDic14):7C2	336,60
(C₃×Dic₁₄)⋊₈C₂ = C₃×D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4	(C3xDic14):8C2	336,70
(C₃×Dic₁₄)⋊₉C₂ = C₃×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4	(C3xDic14):9C2	336,179
(C₃×Dic₁₄)⋊₁₀C₂ = C₃×Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	168	4	(C3xDic14):10C2	336,180
(C₃×Dic₁₄)⋊₁₁C₂ = C₃×C₄○D₂₈	φ: trivial image	168	2	(C3xDic14):11C2	336,177

Non-split extensions G=N.Q with N=C₃×Dic₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₄).₁C₂ = C₃⋊Dic₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	336	4-	(C3xDic14).1C2	336,39
(C₃×Dic₁₄).₂C₂ = C₂₁⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	336	4	(C3xDic14).2C2	336,38
(C₃×Dic₁₄).₃C₂ = C₃×Dic₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	336	2	(C3xDic14).3C2	336,62
(C₃×Dic₁₄).₄C₂ = C₃×C₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₄	336	4	(C3xDic14).4C2	336,72

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