Extensions 1→N→G→Q→1 with N=C₅×M₄(2) and Q=C₂

Direct product G=N×Q with N=C₅×M₄(2) and Q=C₂

		d	ρ	Label	ID
C₁₀×M₄(2)		80		C10xM4(2)	160,191

Semidirect products G=N:Q with N=C₅×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×M₄(2))⋊₁C₂ = C₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	40	4+	(C5xM4(2)):1C2	160,129
(C₅×M₄(2))⋊₂C₂ = C₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	80	4-	(C5xM4(2)):2C2	160,130
(C₅×M₄(2))⋊₃C₂ = D₅×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	40	4	(C5xM4(2)):3C2	160,127
(C₅×M₄(2))⋊₄C₂ = D₂₀.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):4C2	160,128
(C₅×M₄(2))⋊₅C₂ = C₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	40	4	(C5xM4(2)):5C2	160,197
(C₅×M₄(2))⋊₆C₂ = C₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)):6C2	160,198
(C₅×M₄(2))⋊₇C₂ = C₂₀.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	40	4+	(C5xM4(2)):7C2	160,30
(C₅×M₄(2))⋊₈C₂ = D₂₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	40	4	(C5xM4(2)):8C2	160,32
(C₅×M₄(2))⋊₉C₂ = C₅×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	40	4	(C5xM4(2)):9C2	160,50
(C₅×M₄(2))⋊₁₀C₂ = C₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	40	2	(C5xM4(2)):10C2	160,54
(C₅×M₄(2))⋊₁₁C₂ = C₅×C₈○D₄	φ: trivial image	80	2	(C5xM4(2)):11C2	160,192

Non-split extensions G=N.Q with N=C₅×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×M₄(2)).₁C₂ = C₂₀.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).1C2	160,29
(C₅×M₄(2)).₂C₂ = C₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	80	4-	(C5xM4(2)).2C2	160,31
(C₅×M₄(2)).₃C₂ = C₅×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	80	4	(C5xM4(2)).3C2	160,51
(C₅×M₄(2)).₄C₂ = C₅×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×M₄(2)	80	2	(C5xM4(2)).4C2	160,58

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