Extensions 1→N→G→Q→1 with N=C₅×C₁₀ and Q=Q₈

Direct product G=N×Q with N=C₅×C₁₀ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₅×C₁₀		400		Q8xC5xC10	400,203

Semidirect products G=N:Q with N=C₅×C₁₀ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀)⋊Q₈ = C₂×C₅²⋊Q₈	φ: Q₈/C₁ → Q₈ ⊆ Aut C₅×C₁₀	20	8+	(C5xC10):Q8	400,212
(C₅×C₁₀)⋊₂Q₈ = C₂×C₅²⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₅×C₁₀	80		(C5xC10):2Q8	400,178
(C₅×C₁₀)⋊₃Q₈ = C₁₀×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₅×C₁₀	80		(C5xC10):3Q8	400,181
(C₅×C₁₀)⋊₄Q₈ = C₂×C₅²⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅×C₁₀	400		(C5xC10):4Q8	400,191

Non-split extensions G=N.Q with N=C₅×C₁₀ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀).Q₈ = (C₅×C₁₀).Q₈	φ: Q₈/C₁ → Q₈ ⊆ Aut C₅×C₁₀	20	8+	(C5xC10).Q8	400,134
(C₅×C₁₀).₂Q₈ = Dic₅⋊Dic₅	φ: Q₈/C₂ → C₂² ⊆ Aut C₅×C₁₀	80		(C5xC10).2Q8	400,74
(C₅×C₁₀).₃Q₈ = C₁₀.Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₅×C₁₀	80		(C5xC10).3Q8	400,75
(C₅×C₁₀).₄Q₈ = C₅×C₁₀.D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₅×C₁₀	80		(C5xC10).4Q8	400,84
(C₅×C₁₀).₅Q₈ = C₅×C₄⋊Dic₅	φ: Q₈/C₄ → C₂ ⊆ Aut C₅×C₁₀	80		(C5xC10).5Q8	400,85
(C₅×C₁₀).₆Q₈ = C₁₀².₂₂C₂²	φ: Q₈/C₄ → C₂ ⊆ Aut C₅×C₁₀	400		(C5xC10).6Q8	400,100
(C₅×C₁₀).₇Q₈ = C₂₀⋊₃Dic₅	φ: Q₈/C₄ → C₂ ⊆ Aut C₅×C₁₀	400		(C5xC10).7Q8	400,101
(C₅×C₁₀).₈Q₈ = C₄⋊C₄×C₅²	central extension (φ=1)	400		(C5xC10).8Q8	400,110

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