Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×D₄×D₅

Direct product G=N×Q with N=C₃ and Q=C₂×D₄×D₅

		d	ρ	Label	ID
C₆×D₄×D₅		120		C6xD4xD5	480,1139

Semidirect products G=N:Q with N=C₃ and Q=C₂×D₄×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×D₄×D₅) = C₂×D₅×D₁₂	φ: C₂×D₄×D₅/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	120		C3:1(C2xD4xD5)	480,1087
C₃⋊₂(C₂×D₄×D₅) = C₂×C₂₀⋊D₆	φ: C₂×D₄×D₅/C₂×D₂₀ → C₂ ⊆ Aut C₃	120		C3:2(C2xD4xD5)	480,1089
C₃⋊₃(C₂×D₄×D₅) = S₃×D₄×D₅	φ: C₂×D₄×D₅/D₄×D₅ → C₂ ⊆ Aut C₃	60	8+	C3:3(C2xD4xD5)	480,1097
C₃⋊₄(C₂×D₄×D₅) = C₂×D₁₀⋊D₆	φ: C₂×D₄×D₅/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	120		C3:4(C2xD4xD5)	480,1124
C₃⋊₅(C₂×D₄×D₅) = C₂×D₄×D₁₅	φ: C₂×D₄×D₅/D₄×C₁₀ → C₂ ⊆ Aut C₃	120		C3:5(C2xD4xD5)	480,1169
C₃⋊₆(C₂×D₄×D₅) = C₂×D₅×C₃⋊D₄	φ: C₂×D₄×D₅/C₂³×D₅ → C₂ ⊆ Aut C₃	120		C3:6(C2xD4xD5)	480,1122

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