Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊D₅

Direct product G=N×Q with N=C₃ and Q=D₄⋊D₅

		d	ρ	Label	ID
C₃×D₄⋊D₅		120	4	C3xD4:D5	240,44

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊D₅) = C₅⋊D₂₄	φ: D₄⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₃	120	4+	C3:1(D4:D5)	240,15
C₃⋊₂(D₄⋊D₅) = C₁₅⋊D₈	φ: D₄⋊D₅/D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:2(D4:D5)	240,13
C₃⋊₃(D₄⋊D₅) = D₄⋊D₁₅	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₃	120	4+	C3:3(D4:D5)	240,76

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