Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄₁

Direct product G=N×Q with N=C₄ and Q=D₄₁

		d	ρ	Label	ID
C₄×D₄₁		164	2	C4xD41	328,5

Semidirect products G=N:Q with N=C₄ and Q=D₄₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₄₁ = D₁₆₄	φ: D₄₁/C₄₁ → C₂ ⊆ Aut C₄	164	2+	C4:D41	328,6

Non-split extensions G=N.Q with N=C₄ and Q=D₄₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₄₁ = Dic₈₂	φ: D₄₁/C₄₁ → C₂ ⊆ Aut C₄	328	2-	C4.D41	328,4
C₄.₂D₄₁ = C₄₁⋊₃C₈	central extension (φ=1)	328	2	C4.2D41	328,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=D41