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

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

		d	ρ	Label	ID
Dic₃×C₃⋊Dic₃		144		Dic3xC3:Dic3	432,448

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊(C₃⋊Dic₃) = C₆².₈₀D₆	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Out Dic₃	144		Dic3:(C3:Dic3)	432,452

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.(C₃⋊Dic₃) = C₃³⋊₇M₄(2)	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Out Dic₃	144		Dic3.(C3:Dic3)	432,433
Dic₃.₂(C₃⋊Dic₃) = S₃×C₃²⋊₄C₈	φ: trivial image	144		Dic3.2(C3:Dic3)	432,430

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