Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×C₂×C₆

Direct product G=N×Q with N=C₃ and Q=D₅×C₂×C₆

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₃ and Q=D₅×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅×C₂×C₆) = S₃×C₆×D₅	φ: D₅×C₂×C₆/C₆×D₅ → C₂ ⊆ Aut C₃	60	4	C3:1(D5xC2xC6)	360,151
C₃⋊₂(D₅×C₂×C₆) = C₂×C₆×D₁₅	φ: D₅×C₂×C₆/C₂×C₃₀ → C₂ ⊆ Aut C₃	120		C3:2(D5xC2xC6)	360,159

Non-split extensions G=N.Q with N=C₃ and Q=D₅×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₅×C₂×C₆) = D₅×C₂×C₁₈	central extension (φ=1)	180		C3.(D5xC2xC6)	360,47

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Extensions 1→N→G→Q→1 with N=C3 and Q=D5×C2×C6