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

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

		d	ρ	Label	ID
C₄×F₇		28	6	C4xF7	168,8

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊F₇ = C₄⋊F₇	φ: F₇/C₇⋊C₃ → C₂ ⊆ Aut C₄	28	6+	C4:F7	168,9

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.F₇ = C₄.F₇	φ: F₇/C₇⋊C₃ → C₂ ⊆ Aut C₄	56	6-	C4.F7	168,7
C₄.₂F₇ = C₇⋊C₂₄	central extension (φ=1)	56	6	C4.2F7	168,1

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