Extensions 1→N→G→Q→1 with N=C₅×C₁₀ and Q=C₄

Direct product G=N×Q with N=C₅×C₁₀ and Q=C₄

		d	ρ	Label	ID
C₁₀×C₂₀		200		C10xC20	200,37

Semidirect products G=N:Q with N=C₅×C₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀)⋊₁C₄ = C₁₀×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₀	40	4	(C5xC10):1C4	200,45
(C₅×C₁₀)⋊₂C₄ = C₂×D₅.D₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₀	40	4	(C5xC10):2C4	200,46
(C₅×C₁₀)⋊₃C₄ = C₂×C₅⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₀	50		(C5xC10):3C4	200,47
(C₅×C₁₀)⋊₄C₄ = C₂×C₅²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₀	20	4+	(C5xC10):4C4	200,48
(C₅×C₁₀)⋊₅C₄ = C₁₀×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₀	40		(C5xC10):5C4	200,30
(C₅×C₁₀)⋊₆C₄ = C₂×C₅²⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₀	200		(C5xC10):6C4	200,35

Non-split extensions G=N.Q with N=C₅×C₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀).₁C₄ = C₅×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₀	40	4	(C5xC10).1C4	200,18
(C₅×C₁₀).₂C₄ = C₅²⋊₃C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₀	40	4	(C5xC10).2C4	200,19
(C₅×C₁₀).₃C₄ = C₅²⋊₄C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₀	200		(C5xC10).3C4	200,20
(C₅×C₁₀).₄C₄ = C₅²⋊₅C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₀	40	4-	(C5xC10).4C4	200,21
(C₅×C₁₀).₅C₄ = C₅×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₀	40	2	(C5xC10).5C4	200,15
(C₅×C₁₀).₆C₄ = C₅²⋊₇C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₀	200		(C5xC10).6C4	200,16

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