Extensions 1→N→G→Q→1 with N=C₄₄ and Q=D₅

Direct product G=N×Q with N=C₄₄ and Q=D₅

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

Semidirect products G=N:Q with N=C₄₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄⋊₁D₅ = D₂₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₄	220	2+	C44:1D5	440,36
C₄₄⋊₂D₅ = C₄×D₅₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₄	220	2	C44:2D5	440,35
C₄₄⋊₃D₅ = C₁₁×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₄	220	2	C44:3D5	440,31

Non-split extensions G=N.Q with N=C₄₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄.₁D₅ = Dic₁₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₄	440	2-	C44.1D5	440,34
C₄₄.₂D₅ = C₅₅⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄₄	440	2	C44.2D5	440,5
C₄₄.₃D₅ = C₁₁×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₄	440	2	C44.3D5	440,29
C₄₄.₄D₅ = C₁₁×C₅⋊₂C₈	central extension (φ=1)	440	2	C44.4D5	440,3

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