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

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

		d	ρ	Label	ID
C₂²×Dic₇		112		C2^2xDic7	112,35

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇)⋊₁C₂ = D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₇	56		(C2xDic7):1C2	112,13
(C₂×Dic₇)⋊₂C₂ = C₂³.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₇	56		(C2xDic7):2C2	112,18
(C₂×Dic₇)⋊₃C₂ = D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₇	56	4-	(C2xDic7):3C2	112,32
(C₂×Dic₇)⋊₄C₂ = C₂×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₇	56		(C2xDic7):4C2	112,36
(C₂×Dic₇)⋊₅C₂ = C₂×C₄×D₇	φ: trivial image	56		(C2xDic7):5C2	112,28

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇).₁C₂ = Dic₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).1C2	112,11
(C₂×Dic₇).₂C₂ = C₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).2C2	112,12
(C₂×Dic₇).₃C₂ = C₂×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).3C2	112,27
(C₂×Dic₇).₄C₂ = C₄×Dic₇	φ: trivial image	112		(C2xDic7).4C2	112,10

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