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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×C₁₄) = S₃×C₇×D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Dic₃	84	4	Dic3:1(C2xC14)	336,188
Dic₃⋊₂(C₂×C₁₄) = C₁₄×C₃⋊D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Dic₃	168		Dic3:2(C2xC14)	336,193
Dic₃⋊₃(C₂×C₁₄) = S₃×C₂×C₂₈	φ: trivial image	168		Dic3:3(C2xC14)	336,185

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×C₁₄) = C₁₄×Dic₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Dic₃	336		Dic3.1(C2xC14)	336,184
Dic₃.₂(C₂×C₁₄) = C₇×C₄○D₁₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Dic₃	168	2	Dic3.2(C2xC14)	336,187
Dic₃.₃(C₂×C₁₄) = C₇×D₄⋊₂S₃	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Dic₃	168	4	Dic3.3(C2xC14)	336,189
Dic₃.₄(C₂×C₁₄) = S₃×C₇×Q₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Dic₃	168	4	Dic3.4(C2xC14)	336,190
Dic₃.₅(C₂×C₁₄) = C₇×Q₈⋊₃S₃	φ: trivial image	168	4	Dic3.5(C2xC14)	336,191

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