Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₁₂

Direct product G=N×Q with N=Dic₇ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×Dic₇		336		C12xDic7	336,65

Semidirect products G=N:Q with N=Dic₇ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊C₁₂ = Dic₇⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Out Dic₇	112		Dic7:C12	336,15
Dic₇⋊₂C₁₂ = C₄×C₇⋊C₁₂	φ: C₁₂/C₄ → C₃ ⊆ Out Dic₇	112		Dic7:2C12	336,14
Dic₇⋊₃C₁₂ = C₃×Dic₇⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₇	336		Dic7:3C12	336,66

Non-split extensions G=N.Q with N=Dic₇ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.C₁₂ = C₈⋊F₇	φ: C₁₂/C₂ → C₆ ⊆ Out Dic₇	56	6	Dic7.C12	336,8
Dic₇.₂C₁₂ = C₈×F₇	φ: C₁₂/C₄ → C₃ ⊆ Out Dic₇	56	6	Dic7.2C12	336,7
Dic₇.₃C₁₂ = C₃×C₈⋊D₇	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₇	168	2	Dic7.3C12	336,59
Dic₇.₄C₁₂ = D₇×C₂₄	φ: trivial image	168	2	Dic7.4C12	336,58

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