Extensions 1→N→G→Q→1 with N=C₅xC₄:C₄ and Q=C₆

Direct product G=NxQ with N=C₅xC₄:C₄ and Q=C₆

		d	ρ	Label	ID
C₄:C₄xC₃₀		480		C4:C4xC30	480,921

Semidirect products G=N:Q with N=C₅xC₄:C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₄:C₄):₁C₆ = C₃xD₂₀:₆C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):1C6	480,87
(C₅xC₄:C₄):₂C₆ = C₃xD₅xC₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):2C6	480,684
(C₅xC₄:C₄):₃C₆ = C₃xC₄:C₄:₇D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):3C6	480,685
(C₅xC₄:C₄):₄C₆ = C₃xD₂₀:₈C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):4C6	480,686
(C₅xC₄:C₄):₅C₆ = C₃xD₁₀.₁₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):5C6	480,687
(C₅xC₄:C₄):₆C₆ = C₃xC₄:D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):6C6	480,688
(C₅xC₄:C₄):₇C₆ = C₃xD₁₀:Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):7C6	480,689
(C₅xC₄:C₄):₈C₆ = C₃xD₁₀:₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):8C6	480,690
(C₅xC₄:C₄):₉C₆ = C₃xC₄:C₄:D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):9C6	480,691
(C₅xC₄:C₄):₁₀C₆ = C₁₅xD₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):10C6	480,205
(C₅xC₄:C₄):₁₁C₆ = C₁₅xC₄:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):11C6	480,926
(C₅xC₄:C₄):₁₂C₆ = C₁₅xC₂²:Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):12C6	480,927
(C₅xC₄:C₄):₁₃C₆ = C₁₅xC₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):13C6	480,928
(C₅xC₄:C₄):₁₄C₆ = C₁₅xC₄²:₂C₂	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	240		(C5xC4:C4):14C6	480,931
(C₅xC₄:C₄):₁₅C₆ = C₁₅xC₄²:C₂	φ: trivial image	240		(C5xC4:C4):15C6	480,922
(C₅xC₄:C₄):₁₆C₆ = D₄xC₆₀	φ: trivial image	240		(C5xC4:C4):16C6	480,923

Non-split extensions G=N.Q with N=C₅xC₄:C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₄:C₄).₁C₆ = C₃xC₁₀.D₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).1C6	480,85
(C₅xC₄:C₄).₂C₆ = C₃xC₂₀.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).2C6	480,86
(C₅xC₄:C₄).₃C₆ = C₃xC₁₀.Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).3C6	480,88
(C₅xC₄:C₄).₄C₆ = C₃xDic₅:₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).4C6	480,680
(C₅xC₄:C₄).₅C₆ = C₃xC₂₀:Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).5C6	480,681
(C₅xC₄:C₄).₆C₆ = C₃xDic₅.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).6C6	480,682
(C₅xC₄:C₄).₇C₆ = C₃xC₄.Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).7C6	480,683
(C₅xC₄:C₄).₈C₆ = C₁₅xQ₈:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).8C6	480,206
(C₅xC₄:C₄).₉C₆ = C₁₅xC₄.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).9C6	480,209
(C₅xC₄:C₄).₁₀C₆ = C₁₅xC₂.D₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).10C6	480,210
(C₅xC₄:C₄).₁₁C₆ = C₁₅xC₄².C₂	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).11C6	480,930
(C₅xC₄:C₄).₁₂C₆ = C₁₅xC₄:Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅xC₄:C₄	480		(C5xC4:C4).12C6	480,933
(C₅xC₄:C₄).₁₃C₆ = Q₈xC₆₀	φ: trivial image	480		(C5xC4:C4).13C6	480,924

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