Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=C₄

Direct product G=N×Q with N=C₂×C₁₀ and Q=C₄

		d	ρ	Label	ID
C₂²×C₂₀		80		C2^2xC20	80,45

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊₁C₄ = C₂²⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₀	20	4+	(C2xC10):1C4	80,34
(C₂×C₁₀)⋊₂C₄ = C₂²×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₀	20		(C2xC10):2C4	80,50
(C₂×C₁₀)⋊₃C₄ = C₅×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10):3C4	80,21
(C₂×C₁₀)⋊₄C₄ = C₂³.D₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10):4C4	80,19
(C₂×C₁₀)⋊₅C₄ = C₂²×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10):5C4	80,43

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁C₄ = C₂×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₀	80		(C2xC10).1C4	80,32
(C₂×C₁₀).₂C₄ = C₂².F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₀	40	4-	(C2xC10).2C4	80,33
(C₂×C₁₀).₃C₄ = C₅×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₀	40	2	(C2xC10).3C4	80,24
(C₂×C₁₀).₄C₄ = C₂×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).4C4	80,9
(C₂×C₁₀).₅C₄ = C₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₀	40	2	(C2xC10).5C4	80,10

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