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		112		C2xC4.Dic7	224,116

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₇⋊₁C₂ = Dic₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	56	2	C4.Dic7:1C2	224,11
C₄.Dic₇⋊₂C₂ = C₂₈.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	56	4+	C4.Dic7:2C2	224,29
C₄.Dic₇⋊₃C₂ = C₂₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	56	4	C4.Dic7:3C2	224,39
C₄.Dic₇⋊₄C₂ = D₄⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	56	4	C4.Dic7:4C2	224,43
C₄.Dic₇⋊₅C₂ = D₇×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	56	4	C4.Dic7:5C2	224,101
C₄.Dic₇⋊₆C₂ = D₄.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	56	4	C4.Dic7:6C2	224,127
C₄.Dic₇⋊₇C₂ = C₂₈.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	112	4	C4.Dic7:7C2	224,137
C₄.Dic₇⋊₈C₂ = Q₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	112	4	C4.Dic7:8C2	224,143
C₄.Dic₇⋊₉C₂ = D₄⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	56	4+	C4.Dic7:9C2	224,144
C₄.Dic₇⋊₁₀C₂ = D₄.₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	112	4-	C4.Dic7:10C2	224,146
C₄.Dic₇⋊₁₁C₂ = D₂₈.₂C₄	φ: trivial image	112	2	C4.Dic7:11C2	224,96

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 = C₅₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	112	2	C4.Dic7.1C2	224,25
C₄.Dic₇.₂C₂ = C₂₈.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	112	4	C4.Dic7.2C2	224,28
C₄.Dic₇.₃C₂ = C₄.₁₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	112	4-	C4.Dic7.3C2	224,30
C₄.Dic₇.₄C₂ = C₂₈.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₇	112	4	C4.Dic7.4C2	224,42

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