Extensions 1→N→G→Q→1 with N=C₂³×C₄ and Q=C₁₀

Direct product G=N×Q with N=C₂³×C₄ and Q=C₁₀

		d	ρ	Label	ID
C₂⁴×C₂₀		320		C2^4xC20	320,1628

Semidirect products G=N:Q with N=C₂³×C₄ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₄)⋊₁C₁₀ = C₅×C₂³.₂₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):1C10	320,887
(C₂³×C₄)⋊₂C₁₀ = C₂²⋊C₄×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):2C10	320,1514
(C₂³×C₄)⋊₃C₁₀ = D₄×C₂×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):3C10	320,1517
(C₂³×C₄)⋊₄C₁₀ = C₁₀×C₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):4C10	320,1526
(C₂³×C₄)⋊₅C₁₀ = C₁₀×C₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):5C10	320,1524
(C₂³×C₄)⋊₆C₁₀ = C₅×C₂².₁₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	80		(C2^3xC4):6C10	320,1527
(C₂³×C₄)⋊₇C₁₀ = D₄×C₂²×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):7C10	320,1629
(C₂³×C₄)⋊₈C₁₀ = C₄○D₄×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4):8C10	320,1631

Non-split extensions G=N.Q with N=C₂³×C₄ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₄).₁C₁₀ = C₁₀×C₂.C₄²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	320		(C2^3xC4).1C10	320,876
(C₂³×C₄).₂C₁₀ = C₂²⋊C₄×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).2C10	320,878
(C₂³×C₄).₃C₁₀ = C₅×C₂³.₃₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).3C10	320,882
(C₂³×C₄).₄C₁₀ = C₅×C₂³.₈Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).4C10	320,886
(C₂³×C₄).₅C₁₀ = C₁₀×C₂²⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).5C10	320,907
(C₂³×C₄).₆C₁₀ = C₄⋊C₄×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	320		(C2^3xC4).6C10	320,1515
(C₂³×C₄).₇C₁₀ = C₅×C₂³.₇Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).7C10	320,881
(C₂³×C₄).₈C₁₀ = C₅×C₂⁴.₄C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	80		(C2^3xC4).8C10	320,908
(C₂³×C₄).₉C₁₀ = C₁₀×C₄²⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).9C10	320,1516
(C₂³×C₄).₁₀C₁₀ = C₁₀×C₂²⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).10C10	320,1525
(C₂³×C₄).₁₁C₁₀ = M₄(2)×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	160		(C2^3xC4).11C10	320,1568
(C₂³×C₄).₁₂C₁₀ = Q₈×C₂²×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³×C₄	320		(C2^3xC4).12C10	320,1630

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