Extensions 1→N→G→Q→1 with N=C₄ and Q=D₆₁

Direct product G=N×Q with N=C₄ and Q=D₆₁

		d	ρ	Label	ID
C₄×D₆₁		244	2	C4xD61	488,5

Semidirect products G=N:Q with N=C₄ and Q=D₆₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₆₁ = D₂₄₄	φ: D₆₁/C₆₁ → C₂ ⊆ Aut C₄	244	2+	C4:D61	488,6

Non-split extensions G=N.Q with N=C₄ and Q=D₆₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₆₁ = Dic₁₂₂	φ: D₆₁/C₆₁ → C₂ ⊆ Aut C₄	488	2-	C4.D61	488,4
C₄.₂D₆₁ = C₆₁⋊₂C₈	central extension (φ=1)	488	2	C4.2D61	488,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=D61