Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×Dic₅

Direct product G=N×Q with N=C₅ and Q=C₂×Dic₅

		d	ρ	Label	ID
C₁₀×Dic₅		40		C10xDic5	200,30

Semidirect products G=N:Q with N=C₅ and Q=C₂×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×Dic₅) = C₂×D₅.D₅	φ: C₂×Dic₅/C₁₀ → C₄ ⊆ Aut C₅	40	4	C5:(C2xDic5)	200,46
C₅⋊₂(C₂×Dic₅) = D₅×Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Aut C₅	40	4-	C5:2(C2xDic5)	200,22
C₅⋊₃(C₂×Dic₅) = C₂×C₅²⋊₆C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Aut C₅	200		C5:3(C2xDic5)	200,35

Non-split extensions G=N.Q with N=C₅ and Q=C₂×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂×Dic₅) = C₂×Dic₂₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Aut C₅	200		C5.(C2xDic5)	200,7

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Extensions 1→N→G→Q→1 with N=C5 and Q=C2×Dic5