Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₄

		d	ρ	Label	ID
C₂×C₂₀		40		C2xC20	40,9

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₄) = C₂×F₅	φ: C₂×C₄/C₂ → C₄ ⊆ Aut C₅	10	4+	C5:(C2xC4)	40,12
C₅⋊₂(C₂×C₄) = C₄×D₅	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₅	20	2	C5:2(C2xC4)	40,5
C₅⋊₃(C₂×C₄) = C₂×Dic₅	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₅	40		C5:3(C2xC4)	40,7

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