Extensions 1→N→G→Q→1 with N=C₂³xC₄ and Q=C₁₀

Direct product G=NxQ with N=C₂³xC₄ and Q=C₁₀

		d	ρ	Label	ID
C₂⁴xC₂₀		320		C2^4xC20	320,1628

Semidirect products G=N:Q with N=C₂³xC₄ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₄):₁C₁₀ = C₅xC₂³.₂₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):1C10	320,887
(C₂³xC₄):₂C₁₀ = C₂²:C₄xC₂xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):2C10	320,1514
(C₂³xC₄):₃C₁₀ = D₄xC₂xC₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):3C10	320,1517
(C₂³xC₄):₄C₁₀ = C₁₀xC₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):4C10	320,1526
(C₂³xC₄):₅C₁₀ = C₁₀xC₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):5C10	320,1524
(C₂³xC₄):₆C₁₀ = C₅xC₂².₁₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	80		(C2^3xC4):6C10	320,1527
(C₂³xC₄):₇C₁₀ = D₄xC₂²xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):7C10	320,1629
(C₂³xC₄):₈C₁₀ = C₄oD₄xC₂xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4):8C10	320,1631

Non-split extensions G=N.Q with N=C₂³xC₄ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₄).₁C₁₀ = C₁₀xC₂.C₄²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	320		(C2^3xC4).1C10	320,876
(C₂³xC₄).₂C₁₀ = C₂²:C₄xC₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).2C10	320,878
(C₂³xC₄).₃C₁₀ = C₅xC₂³.₃₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).3C10	320,882
(C₂³xC₄).₄C₁₀ = C₅xC₂³.₈Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).4C10	320,886
(C₂³xC₄).₅C₁₀ = C₁₀xC₂²:C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).5C10	320,907
(C₂³xC₄).₆C₁₀ = C₄:C₄xC₂xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	320		(C2^3xC4).6C10	320,1515
(C₂³xC₄).₇C₁₀ = C₅xC₂³.₇Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).7C10	320,881
(C₂³xC₄).₈C₁₀ = C₅xC₂⁴.₄C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	80		(C2^3xC4).8C10	320,908
(C₂³xC₄).₉C₁₀ = C₁₀xC₄²:C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).9C10	320,1516
(C₂³xC₄).₁₀C₁₀ = C₁₀xC₂²:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).10C10	320,1525
(C₂³xC₄).₁₁C₁₀ = M₄(2)xC₂xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	160		(C2^3xC4).11C10	320,1568
(C₂³xC₄).₁₂C₁₀ = Q₈xC₂²xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₄	320		(C2^3xC4).12C10	320,1630

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