Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅xC₁₀

Direct product G=NxQ with N=C₄ and Q=D₅xC₁₀

		d	ρ	Label	ID
D₅xC₂xC₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=C₄ and Q=D₅xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(D₅xC₁₀) = C₅xD₄xD₅	φ: D₅xC₁₀/C₅xD₅ → C₂ ⊆ Aut C₄	40	4	C4:1(D5xC10)	400,185
C₄:₂(D₅xC₁₀) = C₁₀xD₂₀	φ: D₅xC₁₀/C₅xC₁₀ → C₂ ⊆ Aut C₄	80		C4:2(D5xC10)	400,183

Non-split extensions G=N.Q with N=C₄ and Q=D₅xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(D₅xC₁₀) = C₅xD₄:D₅	φ: D₅xC₁₀/C₅xD₅ → C₂ ⊆ Aut C₄	40	4	C4.1(D5xC10)	400,87
C₄.₂(D₅xC₁₀) = C₅xD₄.D₅	φ: D₅xC₁₀/C₅xD₅ → C₂ ⊆ Aut C₄	40	4	C4.2(D5xC10)	400,88
C₄.₃(D₅xC₁₀) = C₅xQ₈:D₅	φ: D₅xC₁₀/C₅xD₅ → C₂ ⊆ Aut C₄	80	4	C4.3(D5xC10)	400,89
C₄.₄(D₅xC₁₀) = C₅xC₅:Q₁₆	φ: D₅xC₁₀/C₅xD₅ → C₂ ⊆ Aut C₄	80	4	C4.4(D5xC10)	400,90
C₄.₅(D₅xC₁₀) = C₅xD₄:₂D₅	φ: D₅xC₁₀/C₅xD₅ → C₂ ⊆ Aut C₄	40	4	C4.5(D5xC10)	400,186
C₄.₆(D₅xC₁₀) = C₅xQ₈xD₅	φ: D₅xC₁₀/C₅xD₅ → C₂ ⊆ Aut C₄	80	4	C4.6(D5xC10)	400,187
C₄.₇(D₅xC₁₀) = C₅xQ₈:₂D₅	φ: D₅xC₁₀/C₅xD₅ → C₂ ⊆ Aut C₄	80	4	C4.7(D5xC10)	400,188
C₄.₈(D₅xC₁₀) = C₅xC₄₀:C₂	φ: D₅xC₁₀/C₅xC₁₀ → C₂ ⊆ Aut C₄	80	2	C4.8(D5xC10)	400,78
C₄.₉(D₅xC₁₀) = C₅xD₄₀	φ: D₅xC₁₀/C₅xC₁₀ → C₂ ⊆ Aut C₄	80	2	C4.9(D5xC10)	400,79
C₄.₁₀(D₅xC₁₀) = C₅xDic₂₀	φ: D₅xC₁₀/C₅xC₁₀ → C₂ ⊆ Aut C₄	80	2	C4.10(D5xC10)	400,80
C₄.₁₁(D₅xC₁₀) = C₁₀xDic₁₀	φ: D₅xC₁₀/C₅xC₁₀ → C₂ ⊆ Aut C₄	80		C4.11(D5xC10)	400,181
C₄.₁₂(D₅xC₁₀) = D₅xC₄₀	central extension (φ=1)	80	2	C4.12(D5xC10)	400,76
C₄.₁₃(D₅xC₁₀) = C₅xC₈:D₅	central extension (φ=1)	80	2	C4.13(D5xC10)	400,77
C₄.₁₄(D₅xC₁₀) = C₁₀xC₅:₂C₈	central extension (φ=1)	80		C4.14(D5xC10)	400,81
C₄.₁₅(D₅xC₁₀) = C₅xC₄.Dic₅	central extension (φ=1)	40	2	C4.15(D5xC10)	400,82
C₄.₁₆(D₅xC₁₀) = C₅xC₄oD₂₀	central extension (φ=1)	40	2	C4.16(D5xC10)	400,184

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