Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅×C₁₁

Direct product G=N×Q with N=C₄ and Q=D₅×C₁₁

		d	ρ	Label	ID
D₅×C₄₄		220	2	D5xC44	440,30

Semidirect products G=N:Q with N=C₄ and Q=D₅×C₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(D₅×C₁₁) = C₁₁×D₂₀	φ: D₅×C₁₁/C₅₅ → C₂ ⊆ Aut C₄	220	2	C4:(D5xC11)	440,31

Non-split extensions G=N.Q with N=C₄ and Q=D₅×C₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(D₅×C₁₁) = C₁₁×Dic₁₀	φ: D₅×C₁₁/C₅₅ → C₂ ⊆ Aut C₄	440	2	C4.(D5xC11)	440,29
C₄.₂(D₅×C₁₁) = C₁₁×C₅⋊₂C₈	central extension (φ=1)	440	2	C4.2(D5xC11)	440,3

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Extensions 1→N→G→Q→1 with N=C4 and Q=D5×C11