Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=C₁₄

Direct product G=N×Q with N=C₃×D₄ and Q=C₁₄

		d	ρ	Label	ID
D₄×C₄₂		168		D4xC42	336,205

Semidirect products G=N:Q with N=C₃×D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁C₁₄ = C₇×D₄⋊S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₄	168	4	(C3xD4):1C14	336,85
(C₃×D₄)⋊₂C₁₄ = S₃×C₇×D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₄	84	4	(C3xD4):2C14	336,188
(C₃×D₄)⋊₃C₁₄ = C₇×D₄⋊₂S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₄	168	4	(C3xD4):3C14	336,189
(C₃×D₄)⋊₄C₁₄ = D₈×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₄	168	2	(C3xD4):4C14	336,111
(C₃×D₄)⋊₅C₁₄ = C₄○D₄×C₂₁	φ: trivial image	168	2	(C3xD4):5C14	336,207

Non-split extensions G=N.Q with N=C₃×D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁C₁₄ = C₇×D₄.S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₄	168	4	(C3xD4).1C14	336,86
(C₃×D₄).₂C₁₄ = SD₁₆×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₄	168	2	(C3xD4).2C14	336,112

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