Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂²xC₁₀

Direct product G=NxQ with N=C₄ and Q=C₂²xC₁₀

		d	ρ	Label	ID
C₂³xC₂₀		160		C2^3xC20	160,228

Semidirect products G=N:Q with N=C₄ and Q=C₂²xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂²xC₁₀) = D₄xC₂xC₁₀	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	80		C4:(C2^2xC10)	160,229

Non-split extensions G=N.Q with N=C₄ and Q=C₂²xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂²xC₁₀) = C₁₀xD₈	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	80		C4.1(C2^2xC10)	160,193
C₄.₂(C₂²xC₁₀) = C₁₀xSD₁₆	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	80		C4.2(C2^2xC10)	160,194
C₄.₃(C₂²xC₁₀) = C₁₀xQ₁₆	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	160		C4.3(C2^2xC10)	160,195
C₄.₄(C₂²xC₁₀) = C₅xC₄oD₈	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	80	2	C4.4(C2^2xC10)	160,196
C₄.₅(C₂²xC₁₀) = C₅xC₈:C₂²	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	40	4	C4.5(C2^2xC10)	160,197
C₄.₆(C₂²xC₁₀) = C₅xC₈.C₂²	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	80	4	C4.6(C2^2xC10)	160,198
C₄.₇(C₂²xC₁₀) = Q₈xC₂xC₁₀	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	160		C4.7(C2^2xC10)	160,230
C₄.₈(C₂²xC₁₀) = C₁₀xC₄oD₄	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	80		C4.8(C2^2xC10)	160,231
C₄.₉(C₂²xC₁₀) = C₅x2₊¹⁺⁴	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	40	4	C4.9(C2^2xC10)	160,232
C₄.₁₀(C₂²xC₁₀) = C₅x2_-¹⁺⁴	φ: C₂²xC₁₀/C₂xC₁₀ → C₂ ⊆ Aut C₄	80	4	C4.10(C2^2xC10)	160,233
C₄.₁₁(C₂²xC₁₀) = C₁₀xM₄(2)	central extension (φ=1)	80		C4.11(C2^2xC10)	160,191
C₄.₁₂(C₂²xC₁₀) = C₅xC₈oD₄	central extension (φ=1)	80	2	C4.12(C2^2xC10)	160,192

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