Extensions 1→N→G→Q→1 with N=C₃xDic₃ and Q=C₆

Direct product G=NxQ with N=C₃xDic₃ and Q=C₆

		d	ρ	Label	ID
Dic₃xC₃xC₆		72		Dic3xC3xC6	216,138

Semidirect products G=N:Q with N=C₃xDic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₃):₁C₆ = C₃xC₃:D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₃	24	4	(C3xDic3):1C6	216,122
(C₃xDic₃):₂C₆ = C₃xS₃xDic₃	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₃	24	4	(C3xDic3):2C6	216,119
(C₃xDic₃):₃C₆ = C₃xC₆.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₃	24	4	(C3xDic3):3C6	216,120
(C₃xDic₃):₄C₆ = C₃²xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₃	36		(C3xDic3):4C6	216,139
(C₃xDic₃):₅C₆ = S₃xC₃xC₁₂	φ: trivial image	72		(C3xDic3):5C6	216,136

Non-split extensions G=N.Q with N=C₃xDic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₃).₁C₆ = C₃xC₃²:₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₃	24	4	(C3xDic3).1C6	216,123
(C₃xDic₃).₂C₆ = C₉xDic₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₃	72	2	(C3xDic3).2C6	216,44
(C₃xDic₃).₃C₆ = C₉xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₃	36	2	(C3xDic3).3C6	216,58
(C₃xDic₃).₄C₆ = C₃²xDic₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xDic₃	72		(C3xDic3).4C6	216,135
(C₃xDic₃).₅C₆ = S₃xC₃₆	φ: trivial image	72	2	(C3xDic3).5C6	216,47
(C₃xDic₃).₆C₆ = Dic₃xC₁₈	φ: trivial image	72		(C3xDic3).6C6	216,56

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