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		60	4	C3xD4xD5	240,159

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) = D₅×D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₃	60	4+	C3:1(D4xD5)	240,136
C₃⋊₂(D₄×D₅) = C₂₀⋊D₆	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₃	60	4	C3:2(D4xD5)	240,138
C₃⋊₃(D₄×D₅) = D₁₀⋊D₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₃	60	4+	C3:3(D4xD5)	240,151
C₃⋊₄(D₄×D₅) = D₄×D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₃	60	4+	C3:4(D4xD5)	240,179
C₃⋊₅(D₄×D₅) = D₅×C₃⋊D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₃	60	4	C3:5(D4xD5)	240,149

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