Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₀×C₄○D₄

Direct product G=N×Q with N=C₃ and Q=C₁₀×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₃₀		240		C4oD4xC30	480,1183

Semidirect products G=N:Q with N=C₃ and Q=C₁₀×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₀×C₄○D₄) = C₁₀×C₄○D₁₂	φ: C₁₀×C₄○D₄/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:1(C10xC4oD4)	480,1153
C₃⋊₂(C₁₀×C₄○D₄) = C₁₀×D₄⋊₂S₃	φ: C₁₀×C₄○D₄/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:2(C10xC4oD4)	480,1155
C₃⋊₃(C₁₀×C₄○D₄) = C₁₀×Q₈⋊₃S₃	φ: C₁₀×C₄○D₄/Q₈×C₁₀ → C₂ ⊆ Aut C₃	240		C3:3(C10xC4oD4)	480,1158
C₃⋊₄(C₁₀×C₄○D₄) = C₅×S₃×C₄○D₄	φ: C₁₀×C₄○D₄/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	120	4	C3:4(C10xC4oD4)	480,1160

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