Extensions 1→N→G→Q→1 with N=C₃×Dic₃ and Q=C₆

Direct product G=N×Q with N=C₃×Dic₃ and Q=C₆

		d	ρ	Label	ID
Dic₃×C₃×C₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=C₃×Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃)⋊₁C₆ = C₃×C₃⋊D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3):1C6	216,122
(C₃×Dic₃)⋊₂C₆ = C₃×S₃×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3):2C6	216,119
(C₃×Dic₃)⋊₃C₆ = C₃×C₆.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3):3C6	216,120
(C₃×Dic₃)⋊₄C₆ = C₃²×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₃	36		(C3xDic3):4C6	216,139
(C₃×Dic₃)⋊₅C₆ = S₃×C₃×C₁₂	φ: trivial image	72		(C3xDic3):5C6	216,136

Non-split extensions G=N.Q with N=C₃×Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃).₁C₆ = C₃×C₃²⋊₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₃	24	4	(C3xDic3).1C6	216,123
(C₃×Dic₃).₂C₆ = C₉×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₃	72	2	(C3xDic3).2C6	216,44
(C₃×Dic₃).₃C₆ = C₉×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₃	36	2	(C3xDic3).3C6	216,58
(C₃×Dic₃).₄C₆ = C₃²×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₃	72		(C3xDic3).4C6	216,135
(C₃×Dic₃).₅C₆ = S₃×C₃₆	φ: trivial image	72	2	(C3xDic3).5C6	216,47
(C₃×Dic₃).₆C₆ = Dic₃×C₁₈	φ: trivial image	72		(C3xDic3).6C6	216,56

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