Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₁₄

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₁₄

		d	ρ	Label	ID
Dic₃×C₂×C₁₄		336		Dic3xC2xC14	336,192

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁C₁₄ = C₇×D₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×Dic₃	168		(C2xDic3):1C14	336,84
(C₂×Dic₃)⋊₂C₁₄ = C₇×C₆.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×Dic₃	168		(C2xDic3):2C14	336,89
(C₂×Dic₃)⋊₃C₁₄ = C₇×D₄⋊₂S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×Dic₃	168	4	(C2xDic3):3C14	336,189
(C₂×Dic₃)⋊₄C₁₄ = C₁₄×C₃⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×Dic₃	168		(C2xDic3):4C14	336,193
(C₂×Dic₃)⋊₅C₁₄ = S₃×C₂×C₂₈	φ: trivial image	168		(C2xDic3):5C14	336,185

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁C₁₄ = C₇×Dic₃⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×Dic₃	336		(C2xDic3).1C14	336,82
(C₂×Dic₃).₂C₁₄ = C₇×C₄⋊Dic₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×Dic₃	336		(C2xDic3).2C14	336,83
(C₂×Dic₃).₃C₁₄ = C₁₄×Dic₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×Dic₃	336		(C2xDic3).3C14	336,184
(C₂×Dic₃).₄C₁₄ = Dic₃×C₂₈	φ: trivial image	336		(C2xDic3).4C14	336,81

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