Extensions 1→N→G→Q→1 with N=C₃×Dic₆ and Q=C₆

Direct product G=N×Q with N=C₃×Dic₆ and Q=C₆

		d	ρ	Label	ID
C₃×C₆×Dic₆		144		C3xC6xDic6	432,700

Semidirect products G=N:Q with N=C₃×Dic₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₆)⋊₁C₆ = C₃×Dic₆⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):1C6	432,420
(C₃×Dic₆)⋊₂C₆ = C₃×C₃²⋊₅SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):2C6	432,422
(C₃×Dic₆)⋊₃C₆ = C₃²×D₄.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	72		(C3xDic6):3C6	432,476
(C₃×Dic₆)⋊₄C₆ = C₃×S₃×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):4C6	432,642
(C₃×Dic₆)⋊₅C₆ = C₃×D₁₂⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):5C6	432,644
(C₃×Dic₆)⋊₆C₆ = C₃×Dic₃.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):6C6	432,645
(C₃×Dic₆)⋊₇C₆ = C₃×D₆.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):7C6	432,647
(C₃×Dic₆)⋊₈C₆ = C₃²×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	72		(C3xDic6):8C6	432,705
(C₃×Dic₆)⋊₉C₆ = S₃×Q₈×C₃²	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	144		(C3xDic6):9C6	432,706
(C₃×Dic₆)⋊₁₀C₆ = C₃²×C₂₄⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	144		(C3xDic6):10C6	432,466
(C₃×Dic₆)⋊₁₁C₆ = C₃²×C₄○D₁₂	φ: trivial image	72		(C3xDic6):11C6	432,703

Non-split extensions G=N.Q with N=C₃×Dic₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₆).₁C₆ = C₉×D₄.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	72	4	(C3xDic6).1C6	432,151
(C₃×Dic₆).₂C₆ = C₉×C₃⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	144	4	(C3xDic6).2C6	432,159
(C₃×Dic₆).₃C₆ = C₉×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	72	4	(C3xDic6).3C6	432,359
(C₃×Dic₆).₄C₆ = S₃×Q₈×C₉	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	144	4	(C3xDic6).4C6	432,366
(C₃×Dic₆).₅C₆ = C₃×C₃²⋊₂Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).5C6	432,423
(C₃×Dic₆).₆C₆ = C₃×C₃²⋊₃Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).6C6	432,424
(C₃×Dic₆).₇C₆ = C₃²×C₃⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	144		(C3xDic6).7C6	432,478
(C₃×Dic₆).₈C₆ = C₉×C₂₄⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	144	2	(C3xDic6).8C6	432,111
(C₃×Dic₆).₉C₆ = C₉×Dic₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	144	2	(C3xDic6).9C6	432,113
(C₃×Dic₆).₁₀C₆ = C₃²×Dic₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₆	144		(C3xDic6).10C6	432,468
(C₃×Dic₆).₁₁C₆ = C₁₈×Dic₆	φ: trivial image	144		(C3xDic6).11C6	432,341
(C₃×Dic₆).₁₂C₆ = C₉×C₄○D₁₂	φ: trivial image	72	2	(C3xDic6).12C6	432,347

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