Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×Q₈

Direct product G=N×Q with N=C₄ and Q=C₅×Q₈

		d	ρ	Label	ID
Q₈×C₂₀		160		Q8xC20	160,180

Semidirect products G=N:Q with N=C₄ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×Q₈) = C₅×C₄⋊Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₄	160		C4:(C5xQ8)	160,189

Non-split extensions G=N.Q with N=C₄ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(C₅×Q₈) = C₅×C₄.Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₄	160	C4.1(C5xQ8)	160,56
C₄.₂(C₅×Q₈) = C₅×C₂.D₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₄	160	C4.2(C5xQ8)	160,57
C₄.₃(C₅×Q₈) = C₅×C₄².C₂	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₄	160	C4.3(C5xQ8)	160,186
C₄.₄(C₅×Q₈) = C₅×C₄⋊C₈	central extension (φ=1)	160	C4.4(C5xQ8)	160,55

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×Q8