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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇)⋊C₄ = C₂³.₁D₁₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₇	56	4	(C2xDic7):C4	224,12
(C₂×Dic₇)⋊₂C₄ = C₁₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7):2C4	224,37
(C₂×Dic₇)⋊₃C₄ = C₂³.₁₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7):3C4	224,72
(C₂×Dic₇)⋊₄C₄ = C₂×Dic₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7):4C4	224,118

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇).C₄ = C₄.₁₂D₂₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₇	112	4-	(C2xDic7).C4	224,30
(C₂×Dic₇).₂C₄ = Dic₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).2C4	224,20
(C₂×Dic₇).₃C₄ = C₅₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).3C4	224,21
(C₂×Dic₇).₄C₄ = D₁₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).4C4	224,26
(C₂×Dic₇).₅C₄ = C₂×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).5C4	224,95
(C₂×Dic₇).₆C₄ = D₇×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₇	56	4	(C2xDic7).6C4	224,101
(C₂×Dic₇).₇C₄ = C₈×Dic₇	φ: trivial image	224		(C2xDic7).7C4	224,19
(C₂×Dic₇).₈C₄ = D₇×C₂×C₈	φ: trivial image	112		(C2xDic7).8C4	224,94

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