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

Direct product G=NxQ with N=C₄:F₇ and Q=C₂

		d	ρ	Label	ID
C₂xC₄: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 = D₄xF₇	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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