Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×C₂²×C₄

Direct product G=N×Q with N=C₃ and Q=D₅×C₂²×C₄

		d	ρ	Label	ID
D₅×C₂²×C₁₂		240		D5xC2^2xC12	480,1136

Semidirect products G=N:Q with N=C₃ and Q=D₅×C₂²×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅×C₂²×C₄) = S₃×C₂×C₄×D₅	φ: D₅×C₂²×C₄/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	120		C3:1(D5xC2^2xC4)	480,1086
C₃⋊₂(D₅×C₂²×C₄) = C₂²×D₃₀.C₂	φ: D₅×C₂²×C₄/C₂²×Dic₅ → C₂ ⊆ Aut C₃	240		C3:2(D5xC2^2xC4)	480,1117
C₃⋊₃(D₅×C₂²×C₄) = C₂²×C₄×D₁₅	φ: D₅×C₂²×C₄/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:3(D5xC2^2xC4)	480,1166
C₃⋊₄(D₅×C₂²×C₄) = C₂²×D₅×Dic₃	φ: D₅×C₂²×C₄/C₂³×D₅ → C₂ ⊆ Aut C₃	240		C3:4(D5xC2^2xC4)	480,1112

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