Extensions 1→N→G→Q→1 with N=C₂×M₄(2) and Q=C₁₀

Direct product G=N×Q with N=C₂×M₄(2) and Q=C₁₀

		d	ρ	Label	ID
M₄(2)×C₂×C₁₀		160		M4(2)xC2xC10	320,1568

Semidirect products G=N:Q with N=C₂×M₄(2) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2))⋊₁C₁₀ = C₅×C₈⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):1C10	320,969
(C₂×M₄(2))⋊₂C₁₀ = C₅×C₈⋊₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):2C10	320,970
(C₂×M₄(2))⋊₃C₁₀ = C₁₀×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):3C10	320,1575
(C₂×M₄(2))⋊₄C₁₀ = C₁₀×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):4C10	320,1576
(C₂×M₄(2))⋊₅C₁₀ = C₅×D₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)):5C10	320,1577
(C₂×M₄(2))⋊₆C₁₀ = C₅×C₂⁴.₄C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):6C10	320,908
(C₂×M₄(2))⋊₇C₁₀ = C₅×(C₂²×C₈)⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):7C10	320,909
(C₂×M₄(2))⋊₈C₁₀ = C₁₀×C₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):8C10	320,912
(C₂×M₄(2))⋊₉C₁₀ = C₅×M₄(2).₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)):9C10	320,914
(C₂×M₄(2))⋊₁₀C₁₀ = C₅×C₂³.₃₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):10C10	320,918
(C₂×M₄(2))⋊₁₁C₁₀ = C₅×C₂³.₃₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):11C10	320,919
(C₂×M₄(2))⋊₁₂C₁₀ = C₁₀×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):12C10	320,921
(C₂×M₄(2))⋊₁₃C₁₀ = C₅×C₄²⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)):13C10	320,922
(C₂×M₄(2))⋊₁₄C₁₀ = C₅×C₈⋊₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):14C10	320,936
(C₂×M₄(2))⋊₁₅C₁₀ = C₅×C₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):15C10	320,937
(C₂×M₄(2))⋊₁₆C₁₀ = C₅×Q₈○M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)):16C10	320,1570
(C₂×M₄(2))⋊₁₇C₁₀ = C₁₀×C₈○D₄	φ: trivial image	160		(C2xM4(2)):17C10	320,1569

Non-split extensions G=N.Q with N=C₂×M₄(2) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2)).₁C₁₀ = C₅×M₄(2)⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).1C10	320,929
(C₂×M₄(2)).₂C₁₀ = C₅×M₄(2).C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).2C10	320,931
(C₂×M₄(2)).₃C₁₀ = C₅×C₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).3C10	320,971
(C₂×M₄(2)).₄C₁₀ = C₅×C₄.₉C₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).4C10	320,142
(C₂×M₄(2)).₅C₁₀ = C₅×C₄.₁₀C₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).5C10	320,143
(C₂×M₄(2)).₆C₁₀ = C₅×C₄²⋊₆C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)).6C10	320,144
(C₂×M₄(2)).₇C₁₀ = C₅×C₄.C₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).7C10	320,146
(C₂×M₄(2)).₈C₁₀ = C₅×C₂².C₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).8C10	320,148
(C₂×M₄(2)).₉C₁₀ = C₅×M₄(2)⋊₄C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).9C10	320,149
(C₂×M₄(2)).₁₀C₁₀ = C₅×C₂³.C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).10C10	320,154
(C₂×M₄(2)).₁₁C₁₀ = C₁₀×C₄.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).11C10	320,913
(C₂×M₄(2)).₁₂C₁₀ = C₅×C₂³.₃₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).12C10	320,920
(C₂×M₄(2)).₁₃C₁₀ = C₅×C₄⋊M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).13C10	320,924
(C₂×M₄(2)).₁₄C₁₀ = C₅×C₄².₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).14C10	320,925
(C₂×M₄(2)).₁₅C₁₀ = C₁₀×C₈.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).15C10	320,930
(C₂×M₄(2)).₁₆C₁₀ = M₄(2)×C₂₀	φ: trivial image	160		(C2xM4(2)).16C10	320,905
(C₂×M₄(2)).₁₇C₁₀ = C₅×C₈○₂M₄(2)	φ: trivial image	160		(C2xM4(2)).17C10	320,906

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