Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×D₄⋊₂D₅

Direct product G=N×Q with N=C₃ and Q=C₂×D₄⋊₂D₅

		d	ρ	Label	ID
C₆×D₄⋊₂D₅		240		C6xD4:2D5	480,1140

Semidirect products G=N:Q with N=C₃ and Q=C₂×D₄⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×D₄⋊₂D₅) = C₂×D₁₂⋊D₅	φ: C₂×D₄⋊₂D₅/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	240		C3:1(C2xD4:2D5)	480,1079
C₃⋊₂(C₂×D₄⋊₂D₅) = C₂×D₁₂⋊₅D₅	φ: C₂×D₄⋊₂D₅/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:2(C2xD4:2D5)	480,1084
C₃⋊₃(C₂×D₄⋊₂D₅) = S₃×D₄⋊₂D₅	φ: C₂×D₄⋊₂D₅/D₄⋊₂D₅ → C₂ ⊆ Aut C₃	120	8-	C3:3(C2xD4:2D5)	480,1099
C₃⋊₄(C₂×D₄⋊₂D₅) = C₂×Dic₃.D₁₀	φ: C₂×D₄⋊₂D₅/C₂²×Dic₅ → C₂ ⊆ Aut C₃	240		C3:4(C2xD4:2D5)	480,1116
C₃⋊₅(C₂×D₄⋊₂D₅) = C₂×C₃₀.C₂³	φ: C₂×D₄⋊₂D₅/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:5(C2xD4:2D5)	480,1114
C₃⋊₆(C₂×D₄⋊₂D₅) = C₂×D₄⋊₂D₁₅	φ: C₂×D₄⋊₂D₅/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:6(C2xD4:2D5)	480,1170

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