Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₂

Direct product G=N×Q with N=Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₇		56		C2xDic7	56,6

Semidirect products G=N:Q with N=Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊C₂ = C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇	28	2	Dic7:C2	56,7
Dic₇⋊₂C₂ = C₄×D₇	φ: trivial image	28	2	Dic7:2C2	56,4

Non-split extensions G=N.Q with N=Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.C₂ = Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇	56	2-	Dic7.C2	56,3

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Extensions 1→N→G→Q→1 with N=Dic7 and Q=C2