Extensions 1→N→G→Q→1 with N=C₄ and Q=F₁₁

Direct product G=N×Q with N=C₄ and Q=F₁₁

		d	ρ	Label	ID
C₄×F₁₁		44	10	C4xF11	440,8

Semidirect products G=N:Q with N=C₄ and Q=F₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊F₁₁ = D₄₄⋊C₅	φ: F₁₁/C₁₁⋊C₅ → C₂ ⊆ Aut C₄	44	10+	C4:F11	440,9

Non-split extensions G=N.Q with N=C₄ and Q=F₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.F₁₁ = C₄.F₁₁	φ: F₁₁/C₁₁⋊C₅ → C₂ ⊆ Aut C₄	88	10-	C4.F11	440,7
C₄.₂F₁₁ = C₁₁⋊C₄₀	central extension (φ=1)	88	10	C4.2F11	440,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=F11