Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅×D₄

Direct product G=N×Q with N=C₅ and Q=C₅×D₄

		d	ρ	Label	ID
D₄×C₅²		100		D4xC5^2	200,38

Semidirect products G=N:Q with N=C₅ and Q=C₅×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₅×D₄) = C₅×D₂₀	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₅	40	2	C5:1(C5xD4)	200,29
C₅⋊₂(C₅×D₄) = C₅×C₅⋊D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₅	20	2	C5:2(C5xD4)	200,31

Non-split extensions G=N.Q with N=C₅ and Q=C₅×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅×D₄) = D₄×C₂₅	central extension (φ=1)	100	2	C5.(C5xD4)	200,10

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Extensions 1→N→G→Q→1 with N=C5 and Q=C5×D4