Extensions 1→N→G→Q→1 with N=C₄⋊F₇ and Q=C₂

Direct product G=N×Q with N=C₄⋊F₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊F₇		56		C2xC4:F7	336,123

Semidirect products G=N:Q with N=C₄⋊F₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊F₇⋊₁C₂ = D₄⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₇	56	12+	C4:F7:1C2	336,18
C₄⋊F₇⋊₂C₂ = D₄×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₇	28	12+	C4:F7:2C2	336,125
C₄⋊F₇⋊₃C₂ = Q₈⋊₃F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₇	56	12+	C4:F7:3C2	336,128
C₄⋊F₇⋊₄C₂ = D₅₆⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₇	56	6+	C4:F7:4C2	336,10
C₄⋊F₇⋊₅C₂ = D₂₈⋊₆C₆	φ: trivial image	56	6	C4:F7:5C2	336,124

Non-split extensions G=N.Q with N=C₄⋊F₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊F₇.₁C₂ = Q₈⋊₂F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₇	56	12+	C4:F7.1C2	336,20
C₄⋊F₇.₂C₂ = C₅₆⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊F₇	56	6	C4:F7.2C2	336,9

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