Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊₂D₅

Direct product G=N×Q with N=C₃ and Q=D₄⋊₂D₅

		d	ρ	Label	ID
C₃×D₄⋊₂D₅		120	4	C3xD4:2D5	240,160

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊₂D₅) = D₁₂⋊D₅	φ: D₄⋊₂D₅/Dic₁₀ → C₂ ⊆ Aut C₃	120	4	C3:1(D4:2D5)	240,129
C₃⋊₂(D₄⋊₂D₅) = D₁₂⋊₅D₅	φ: D₄⋊₂D₅/C₄×D₅ → C₂ ⊆ Aut C₃	120	4-	C3:2(D4:2D5)	240,133
C₃⋊₃(D₄⋊₂D₅) = Dic₃.D₁₀	φ: D₄⋊₂D₅/C₂×Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:3(D4:2D5)	240,143
C₃⋊₄(D₄⋊₂D₅) = C₃₀.C₂³	φ: D₄⋊₂D₅/C₅⋊D₄ → C₂ ⊆ Aut C₃	120	4-	C3:4(D4:2D5)	240,141
C₃⋊₅(D₄⋊₂D₅) = D₄⋊₂D₁₅	φ: D₄⋊₂D₅/C₅×D₄ → C₂ ⊆ Aut C₃	120	4-	C3:5(D4:2D5)	240,180

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