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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁(C₂×C₁₀) = C₅×D₄⋊₄D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out M₄(2)	40	4	M4(2):1(C2xC10)	320,954
M₄(2)⋊₂(C₂×C₁₀) = C₅×D₄.₉D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out M₄(2)	80	4	M4(2):2(C2xC10)	320,956
M₄(2)⋊₃(C₂×C₁₀) = C₁₀×C₈⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):3(C2xC10)	320,1575
M₄(2)⋊₄(C₂×C₁₀) = C₁₀×C₈.C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2):4(C2xC10)	320,1576
M₄(2)⋊₅(C₂×C₁₀) = C₅×D₈⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):5(C2xC10)	320,1577
M₄(2)⋊₆(C₂×C₁₀) = C₅×D₄○D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):6(C2xC10)	320,1578
M₄(2)⋊₇(C₂×C₁₀) = C₅×D₄○SD₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):7(C2xC10)	320,1579
M₄(2)⋊₈(C₂×C₁₀) = C₁₀×C₄.D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):8(C2xC10)	320,912
M₄(2)⋊₉(C₂×C₁₀) = C₁₀×C₄≀C₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):9(C2xC10)	320,921
M₄(2)⋊₁₀(C₂×C₁₀) = C₅×C₄²⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):10(C2xC10)	320,922
M₄(2)⋊₁₁(C₂×C₁₀) = C₁₀×C₈○D₄	φ: trivial image	160		M4(2):11(C2xC10)	320,1569
M₄(2)⋊₁₂(C₂×C₁₀) = C₅×Q₈○M₄(2)	φ: trivial image	80	4	M4(2):12(C2xC10)	320,1570

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

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁(C₂×C₁₀) = C₅×D₄.₈D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out M₄(2)	80	4	M4(2).1(C2xC10)	320,955
M₄(2).₂(C₂×C₁₀) = C₅×D₄.₁₀D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out M₄(2)	80	4	M4(2).2(C2xC10)	320,957
M₄(2).₃(C₂×C₁₀) = C₅×D₄.₃D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out M₄(2)	80	4	M4(2).3(C2xC10)	320,972
M₄(2).₄(C₂×C₁₀) = C₅×D₄.₄D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out M₄(2)	80	4	M4(2).4(C2xC10)	320,973
M₄(2).₅(C₂×C₁₀) = C₅×D₄.₅D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out M₄(2)	160	4	M4(2).5(C2xC10)	320,974
M₄(2).₆(C₂×C₁₀) = C₅×Q₈○D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	160	4	M4(2).6(C2xC10)	320,1580
M₄(2).₇(C₂×C₁₀) = C₁₀×C₄.₁₀D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2).7(C2xC10)	320,913
M₄(2).₈(C₂×C₁₀) = C₅×M₄(2).₈C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2).8(C2xC10)	320,914
M₄(2).₉(C₂×C₁₀) = C₁₀×C₈.C₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2).9(C2xC10)	320,930
M₄(2).₁₀(C₂×C₁₀) = C₅×M₄(2).C₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2).10(C2xC10)	320,931
M₄(2).₁₁(C₂×C₁₀) = C₅×C₈○D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	2	M4(2).11(C2xC10)	320,944
M₄(2).₁₂(C₂×C₁₀) = C₅×C₈.₂₆D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2).12(C2xC10)	320,945

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