Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄₁

Direct product G=N×Q with N=C₆ and Q=D₄₁

		d	ρ	Label	ID
C₆×D₄₁		246	2	C6xD41	492,9

Semidirect products G=N:Q with N=C₆ and Q=D₄₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊D₄₁ = D₂₄₆	φ: D₄₁/C₄₁ → C₂ ⊆ Aut C₆	246	2+	C6:D41	492,11

Non-split extensions G=N.Q with N=C₆ and Q=D₄₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.D₄₁ = Dic₁₂₃	φ: D₄₁/C₄₁ → C₂ ⊆ Aut C₆	492	2-	C6.D41	492,3
C₆.₂D₄₁ = C₃×Dic₄₁	central extension (φ=1)	492	2	C6.2D41	492,2

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Extensions 1→N→G→Q→1 with N=C6 and Q=D41