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

Direct product G=N×Q with N=Dic₃ and Q=C₃⋊S₃

		d	ρ	Label	ID
Dic₃×C₃⋊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(C₂×C₄)	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

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