Extensions 1→N→G→Q→1 with N=Dic₇ and Q=Dic₃

Direct product G=N×Q with N=Dic₇ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×Dic₇		336		Dic3xDic7	336,41

Semidirect products G=N:Q with N=Dic₇ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊Dic₃ = C₄₂.Q₈	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₇	336		Dic7:Dic3	336,45

Non-split extensions G=N.Q with N=Dic₇ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.Dic₃ = C₂₈.₃₂D₆	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₇	168	4	Dic7.Dic3	336,26
Dic₇.₂Dic₃ = D₇×C₃⋊C₈	φ: trivial image	168	4	Dic7.2Dic3	336,23

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Extensions 1→N→G→Q→1 with N=Dic7 and Q=Dic3