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

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

		d	ρ	Label	ID
C₂×C₁₀²		200		C2xC10^2	200,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₂×C₁₀) = D₅×C₂×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	40		C10:(C2xC10)	200,50

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂×C₁₀) = C₅×Dic₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	40	2	C10.1(C2xC10)	200,27
C₁₀.₂(C₂×C₁₀) = D₅×C₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	40	2	C10.2(C2xC10)	200,28
C₁₀.₃(C₂×C₁₀) = C₅×D₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	40	2	C10.3(C2xC10)	200,29
C₁₀.₄(C₂×C₁₀) = C₁₀×Dic₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	40		C10.4(C2xC10)	200,30
C₁₀.₅(C₂×C₁₀) = C₅×C₅⋊D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Aut C₁₀	20	2	C10.5(C2xC10)	200,31
C₁₀.₆(C₂×C₁₀) = D₄×C₂₅	central extension (φ=1)	100	2	C10.6(C2xC10)	200,10
C₁₀.₇(C₂×C₁₀) = Q₈×C₂₅	central extension (φ=1)	200	2	C10.7(C2xC10)	200,11
C₁₀.₈(C₂×C₁₀) = D₄×C₅²	central extension (φ=1)	100		C10.8(C2xC10)	200,38
C₁₀.₉(C₂×C₁₀) = Q₈×C₅²	central extension (φ=1)	200		C10.9(C2xC10)	200,39

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