Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×D₅

Direct product G=N×Q with N=C₄ and Q=C₅×D₅

		d	ρ	Label	ID
D₅×C₂₀		40	2	D5xC20	200,28

Semidirect products G=N:Q with N=C₄ and Q=C₅×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×D₅) = C₅×D₂₀	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₄	40	2	C4:(C5xD5)	200,29

Non-split extensions G=N.Q with N=C₄ and Q=C₅×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×D₅) = C₅×Dic₁₀	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₄	40	2	C4.(C5xD5)	200,27
C₄.₂(C₅×D₅) = C₅×C₅⋊₂C₈	central extension (φ=1)	40	2	C4.2(C5xD5)	200,15

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×D5