Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄○D₁₂

Direct product G=N×Q with N=C₅ and Q=C₂×C₄○D₁₂

		d	ρ	Label	ID
C₁₀×C₄○D₁₂		240		C10xC4oD12	480,1153

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₄○D₁₂) = C₂×C₁₂.₂₈D₁₀	φ: C₂×C₄○D₁₂/C₂×Dic₆ → C₂ ⊆ Aut C₅	240		C5:1(C2xC4oD12)	480,1085
C₅⋊₂(C₂×C₄○D₁₂) = C₂×D₆.D₁₀	φ: C₂×C₄○D₁₂/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:2(C2xC4oD12)	480,1083
C₅⋊₃(C₂×C₄○D₁₂) = C₂×D₁₂⋊₅D₅	φ: C₂×C₄○D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C2xC4oD12)	480,1084
C₅⋊₄(C₂×C₄○D₁₂) = D₅×C₄○D₁₂	φ: C₂×C₄○D₁₂/C₄○D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:4(C2xC4oD12)	480,1090
C₅⋊₅(C₂×C₄○D₁₂) = C₂×Dic₃.D₁₀	φ: C₂×C₄○D₁₂/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:5(C2xC4oD12)	480,1116
C₅⋊₆(C₂×C₄○D₁₂) = C₂×D₆₀⋊₁₁C₂	φ: C₂×C₄○D₁₂/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:6(C2xC4oD12)	480,1168

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