Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₁₀

Direct product G=N×Q with N=C₄ and Q=C₂×C₁₀

		d	ρ	Label	ID
C₂²×C₂₀		80		C2^2xC20	80,45

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₁₀) = D₄×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄	40		C4:(C2xC10)	80,46

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₁₀) = C₅×D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄	40	2	C4.1(C2xC10)	80,25
C₄.₂(C₂×C₁₀) = C₅×SD₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄	40	2	C4.2(C2xC10)	80,26
C₄.₃(C₂×C₁₀) = C₅×Q₁₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄	80	2	C4.3(C2xC10)	80,27
C₄.₄(C₂×C₁₀) = Q₈×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄	80		C4.4(C2xC10)	80,47
C₄.₅(C₂×C₁₀) = C₅×C₄○D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₄	40	2	C4.5(C2xC10)	80,48
C₄.₆(C₂×C₁₀) = C₅×M₄(2)	central extension (φ=1)	40	2	C4.6(C2xC10)	80,24

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