Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃.D₆

Direct product G=N×Q with N=C₃ and Q=Dic₃.D₆

		d	ρ	Label	ID
C₃×Dic₃.D₆		48	4	C3xDic3.D6	432,645

Semidirect products G=N:Q with N=C₃ and Q=Dic₃.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₃.D₆) = C₃³⋊₅(C₂×Q₈)	φ: Dic₃.D₆/C₆.D₆ → C₂ ⊆ Aut C₃	48	8-	C3:1(Dic3.D6)	432,604
C₃⋊₂(Dic₃.D₆) = C₃³⋊₆(C₂×Q₈)	φ: Dic₃.D₆/C₃²⋊₂Q₈ → C₂ ⊆ Aut C₃	24	8+	C3:2(Dic3.D6)	432,605
C₃⋊₃(Dic₃.D₆) = C₃²⋊₉(S₃×Q₈)	φ: Dic₃.D₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	72		C3:3(Dic3.D6)	432,666
C₃⋊₄(Dic₃.D₆) = C₃⋊S₃⋊₄Dic₆	φ: Dic₃.D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:4(Dic3.D6)	432,687

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(Dic₃.D₆) = Dic₁₈⋊S₃	φ: Dic₃.D₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	72	4	C3.1(Dic3.D6)	432,283
C₃.₂(Dic₃.D₆) = C₁₂.₈₅S₃²	φ: Dic₃.D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	72	6-	C3.2(Dic3.D6)	432,298

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