Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₃:S₃

Direct product G=NxQ with N=Dic₃ and Q=C₃:S₃

		d	ρ	Label	ID
Dic₃xC₃:S₃		72		Dic3xC3:S3	216,125

Semidirect products G=N:Q with N=Dic₃ and Q=C₃:S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:(C₃:S₃) = C₃³:₈D₄	φ: C₃:S₃/C₃² → C₂ ⊆ Out Dic₃	36		Dic3:(C3:S3)	216,129
Dic₃:₂(C₃:S₃) = C₃³:₈(C₂xC₄)	φ: trivial image	36		Dic3:2(C3:S3)	216,126

Non-split extensions G=N.Q with N=Dic₃ and Q=C₃:S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.(C₃:S₃) = C₃³:₄Q₈	φ: C₃:S₃/C₃² → C₂ ⊆ Out Dic₃	72		Dic3.(C3:S3)	216,130

Extensions 1→N→G→Q→1 with N=Dic3 and Q=C3:S3