Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₃×C₆

Direct product G=N×Q with N=Dic₃ and Q=C₃×C₆

		d	ρ	Label	ID
Dic₃×C₃×C₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=Dic₃ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊(C₃×C₆) = C₃²×C₃⋊D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out Dic₃	36		Dic3:(C3xC6)	216,139
Dic₃⋊₂(C₃×C₆) = S₃×C₃×C₁₂	φ: trivial image	72		Dic3:2(C3xC6)	216,136

Non-split extensions G=N.Q with N=Dic₃ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.(C₃×C₆) = C₃²×Dic₆	φ: C₃×C₆/C₃² → C₂ ⊆ Out Dic₃	72		Dic3.(C3xC6)	216,135

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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C3×C6