Extensions 1→N→G→Q→1 with N=C₄×Dic₇ and Q=C₂

Direct product G=N×Q with N=C₄×Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×Dic₇		224		C2xC4xDic7	224,117

Semidirect products G=N:Q with N=C₄×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₇)⋊₁C₂ = D₂₈⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	56	4	(C4xDic7):1C2	224,31
(C₄×Dic₇)⋊₂C₂ = D₄⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	56	4	(C4xDic7):2C2	224,43
(C₄×Dic₇)⋊₃C₂ = D₂₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):3C2	224,88
(C₄×Dic₇)⋊₄C₂ = D₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):4C2	224,129
(C₄×Dic₇)⋊₅C₂ = C₂₈.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):5C2	224,131
(C₄×Dic₇)⋊₆C₂ = C₂₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):6C2	224,135
(C₄×Dic₇)⋊₇C₂ = C₂₈.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):7C2	224,142
(C₄×Dic₇)⋊₈C₂ = C₄²⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):8C2	224,67
(C₄×Dic₇)⋊₉C₂ = C₂³.₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):9C2	224,72
(C₄×Dic₇)⋊₁₀C₂ = C₂³.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):10C2	224,74
(C₄×Dic₇)⋊₁₁C₂ = Dic₇⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):11C2	224,76
(C₄×Dic₇)⋊₁₂C₂ = Dic₇.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):12C2	224,80
(C₄×Dic₇)⋊₁₃C₂ = C₄⋊C₄⋊₇D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):13C2	224,87
(C₄×Dic₇)⋊₁₄C₂ = C₄⋊C₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):14C2	224,93
(C₄×Dic₇)⋊₁₅C₂ = C₂³.₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):15C2	224,121
(C₄×Dic₇)⋊₁₆C₂ = C₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	112		(C4xDic7):16C2	224,123
(C₄×Dic₇)⋊₁₇C₂ = D₇×C₄²	φ: trivial image	112		(C4xDic7):17C2	224,66

Non-split extensions G=N.Q with N=C₄×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₇).₁C₂ = C₂₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).1C2	224,83
(C₄×Dic₇).₂C₂ = C₂₈.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).2C2	224,85
(C₄×Dic₇).₃C₂ = Dic₇⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).3C2	224,139
(C₄×Dic₇).₄C₂ = Q₈×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).4C2	224,140
(C₄×Dic₇).₅C₂ = Dic₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).5C2	224,20
(C₄×Dic₇).₆C₂ = C₅₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).6C2	224,21
(C₄×Dic₇).₇C₂ = C₄×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).7C2	224,63
(C₄×Dic₇).₈C₂ = Dic₇⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).8C2	224,82
(C₄×Dic₇).₉C₂ = Dic₇.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₇	224		(C4xDic7).9C2	224,84
(C₄×Dic₇).₁₀C₂ = C₈×Dic₇	φ: trivial image	224		(C4xDic7).10C2	224,19

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