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	240,45

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) = D₁₂.D₅	φ: D₄.D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₃	120	4-	C3:1(D4.D5)	240,20
C₃⋊₂(D₄.D₅) = C₂₀.D₆	φ: D₄.D₅/Dic₁₀ → C₂ ⊆ Aut C₃	120	4	C3:2(D4.D5)	240,17
C₃⋊₃(D₄.D₅) = D₄.D₁₅	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₃	120	4-	C3:3(D4.D5)	240,77

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