Extensions 1→N→G→Q→1 with N=C₆×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₆×Dic₃ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₂×C₆		48		Dic3xC2xC6	144,166

Semidirect products G=N:Q with N=C₆×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₃)⋊₁C₂ = D₆⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3):1C2	144,64
(C₆×Dic₃)⋊₂C₂ = C₆.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	24		(C6xDic3):2C2	144,65
(C₆×Dic₃)⋊₃C₂ = C₃×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3):3C2	144,79
(C₆×Dic₃)⋊₄C₂ = C₃×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	24		(C6xDic3):4C2	144,84
(C₆×Dic₃)⋊₅C₂ = C₂×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	24		(C6xDic3):5C2	144,151
(C₆×Dic₃)⋊₆C₂ = D₆.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	24	4	(C6xDic3):6C2	144,147
(C₆×Dic₃)⋊₇C₂ = C₂×S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3):7C2	144,146
(C₆×Dic₃)⋊₈C₂ = C₂×C₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	24		(C6xDic3):8C2	144,149
(C₆×Dic₃)⋊₉C₂ = C₃×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	24	4	(C6xDic3):9C2	144,163
(C₆×Dic₃)⋊₁₀C₂ = C₆×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	24		(C6xDic3):10C2	144,167
(C₆×Dic₃)⋊₁₁C₂ = S₃×C₂×C₁₂	φ: trivial image	48		(C6xDic3):11C2	144,159

Non-split extensions G=N.Q with N=C₆×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₃).₁C₂ = C₆².C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).1C2	144,67
(C₆×Dic₃).₂C₂ = C₃×C₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).2C2	144,78
(C₆×Dic₃).₃C₂ = Dic₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).3C2	144,66
(C₆×Dic₃).₄C₂ = C₂×C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).4C2	144,152
(C₆×Dic₃).₅C₂ = Dic₃²	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).5C2	144,63
(C₆×Dic₃).₆C₂ = C₃×Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).6C2	144,77
(C₆×Dic₃).₇C₂ = C₆×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).7C2	144,158
(C₆×Dic₃).₈C₂ = Dic₃×C₁₂	φ: trivial image	48		(C6xDic3).8C2	144,76

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