Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×C₄○D₄

Direct product G=N×Q with N=C₃ and Q=C₅×C₄○D₄

		d	ρ	Label	ID
C₁₅×C₄○D₄		120	2	C15xC4oD4	240,188

Semidirect products G=N:Q with N=C₃ and Q=C₅×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×C₄○D₄) = C₅×C₄○D₁₂	φ: C₅×C₄○D₄/C₂×C₂₀ → C₂ ⊆ Aut C₃	120	2	C3:1(C5xC4oD4)	240,168
C₃⋊₂(C₅×C₄○D₄) = C₅×D₄⋊₂S₃	φ: C₅×C₄○D₄/C₅×D₄ → C₂ ⊆ Aut C₃	120	4	C3:2(C5xC4oD4)	240,170
C₃⋊₃(C₅×C₄○D₄) = C₅×Q₈⋊₃S₃	φ: C₅×C₄○D₄/C₅×Q₈ → C₂ ⊆ Aut C₃	120	4	C3:3(C5xC4oD4)	240,172

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