Extensions 1→N→G→Q→1 with N=C₃×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₃ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₃		24		C6xDic3	72,29

Semidirect products G=N:Q with N=C₃×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃)⋊₁C₂ = C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₃	12	4+	(C3xDic3):1C2	72,23
(C₃×Dic₃)⋊₂C₂ = S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₃	24	4-	(C3xDic3):2C2	72,20
(C₃×Dic₃)⋊₃C₂ = C₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₃	12	4+	(C3xDic3):3C2	72,21
(C₃×Dic₃)⋊₄C₂ = C₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₃	12	2	(C3xDic3):4C2	72,30
(C₃×Dic₃)⋊₅C₂ = S₃×C₁₂	φ: trivial image	24	2	(C3xDic3):5C2	72,27

Non-split extensions G=N.Q with N=C₃×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃).₁C₂ = C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₃	24	4-	(C3xDic3).1C2	72,24
(C₃×Dic₃).₂C₂ = C₃×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₃	24	2	(C3xDic3).2C2	72,26

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