Extensions 1→N→G→Q→1 with N=C₄ and Q=D₇

Direct product G=N×Q with N=C₄ and Q=D₇

		d	ρ	Label	ID
C₄×D₇		28	2	C4xD7	56,4

Semidirect products G=N:Q with N=C₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₇ = D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄	28	2+	C4:D7	56,5

Non-split extensions G=N.Q with N=C₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₇ = Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄	56	2-	C4.D7	56,3
C₄.₂D₇ = C₇⋊C₈	central extension (φ=1)	56	2	C4.2D7	56,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=D7