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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(Dic₃×C₁₄)⋊₁C₂ = D₁₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168		(Dic3xC14):1C2	336,42
(Dic₃×C₁₄)⋊₂C₂ = D₄₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168		(Dic3xC14):2C2	336,44
(Dic₃×C₁₄)⋊₃C₂ = C₂×Dic₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168		(Dic3xC14):3C2	336,151
(Dic₃×C₁₄)⋊₄C₂ = Dic₇.D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168	4	(Dic3xC14):4C2	336,152
(Dic₃×C₁₄)⋊₅C₂ = C₂×D₂₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168		(Dic3xC14):5C2	336,156
(Dic₃×C₁₄)⋊₆C₂ = C₂×C₃⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168		(Dic3xC14):6C2	336,158
(Dic₃×C₁₄)⋊₇C₂ = C₇×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168		(Dic3xC14):7C2	336,84
(Dic₃×C₁₄)⋊₈C₂ = C₇×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168		(Dic3xC14):8C2	336,89
(Dic₃×C₁₄)⋊₉C₂ = C₇×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168	4	(Dic3xC14):9C2	336,189
(Dic₃×C₁₄)⋊₁₀C₂ = C₁₄×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	168		(Dic3xC14):10C2	336,193
(Dic₃×C₁₄)⋊₁₁C₂ = S₃×C₂×C₂₈	φ: trivial image	168		(Dic3xC14):11C2	336,185

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

extension	φ:Q→Out N	d	ρ	Label	ID
(Dic₃×C₁₄).₁C₂ = Dic₃×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	336		(Dic3xC14).1C2	336,41
(Dic₃×C₁₄).₂C₂ = C₄₂.Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	336		(Dic3xC14).2C2	336,45
(Dic₃×C₁₄).₃C₂ = Dic₂₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	336		(Dic3xC14).3C2	336,46
(Dic₃×C₁₄).₄C₂ = C₁₄.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	336		(Dic3xC14).4C2	336,47
(Dic₃×C₁₄).₅C₂ = C₂×C₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	336		(Dic3xC14).5C2	336,160
(Dic₃×C₁₄).₆C₂ = C₇×Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	336		(Dic3xC14).6C2	336,82
(Dic₃×C₁₄).₇C₂ = C₇×C₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	336		(Dic3xC14).7C2	336,83
(Dic₃×C₁₄).₈C₂ = C₁₄×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₄	336		(Dic3xC14).8C2	336,184
(Dic₃×C₁₄).₉C₂ = Dic₃×C₂₈	φ: trivial image	336		(Dic3xC14).9C2	336,81

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