Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×D₁₁

Direct product G=N×Q with N=C₄ and Q=C₅×D₁₁

		d	ρ	Label	ID
C₂₀×D₁₁		220	2	C20xD11	440,25

Semidirect products G=N:Q with N=C₄ and Q=C₅×D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×D₁₁) = C₅×D₄₄	φ: C₅×D₁₁/C₅₅ → C₂ ⊆ Aut C₄	220	2	C4:(C5xD11)	440,26

Non-split extensions G=N.Q with N=C₄ and Q=C₅×D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×D₁₁) = C₅×Dic₂₂	φ: C₅×D₁₁/C₅₅ → C₂ ⊆ Aut C₄	440	2	C4.(C5xD11)	440,24
C₄.₂(C₅×D₁₁) = C₅×C₁₁⋊C₈	central extension (φ=1)	440	2	C4.2(C5xD11)	440,4

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×D11