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

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

		d	ρ	Label	ID
Dic₃×C₆²		144		Dic3xC6^2	432,708

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₃)⋊₁C₆ = C₃×D₆⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3):1C6	432,426
(C₆×Dic₃)⋊₂C₆ = C₃×C₆.D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3):2C6	432,427
(C₆×Dic₃)⋊₃C₆ = C₃²×D₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	144		(C6xDic3):3C6	432,474
(C₆×Dic₃)⋊₄C₆ = C₃²×C₆.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	72		(C6xDic3):4C6	432,479
(C₆×Dic₃)⋊₅C₆ = C₆×C₃⋊D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3):5C6	432,656
(C₆×Dic₃)⋊₆C₆ = C₃×D₆.₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	24	4	(C6xDic3):6C6	432,652
(C₆×Dic₃)⋊₇C₆ = S₃×C₆×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3):7C6	432,651
(C₆×Dic₃)⋊₈C₆ = C₆×C₆.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3):8C6	432,654
(C₆×Dic₃)⋊₉C₆ = C₃²×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	72		(C6xDic3):9C6	432,705
(C₆×Dic₃)⋊₁₀C₆ = C₃×C₆×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	72		(C6xDic3):10C6	432,709
(C₆×Dic₃)⋊₁₁C₆ = S₃×C₆×C₁₂	φ: trivial image	144		(C6xDic3):11C6	432,701

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₃).₁C₆ = C₉×Dic₃⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	144		(C6xDic3).1C6	432,132
(C₆×Dic₃).₂C₆ = C₉×C₄⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	144		(C6xDic3).2C6	432,133
(C₆×Dic₃).₃C₆ = C₉×D₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	144		(C6xDic3).3C6	432,135
(C₆×Dic₃).₄C₆ = C₉×C₆.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	72		(C6xDic3).4C6	432,165
(C₆×Dic₃).₅C₆ = C₃×Dic₃⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).5C6	432,428
(C₆×Dic₃).₆C₆ = C₃×C₆².C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).6C6	432,429
(C₆×Dic₃).₇C₆ = C₃²×C₄⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	144		(C6xDic3).7C6	432,473
(C₆×Dic₃).₈C₆ = C₆×C₃²⋊₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).8C6	432,657
(C₆×Dic₃).₉C₆ = C₃×Dic₃²	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	48		(C6xDic3).9C6	432,425
(C₆×Dic₃).₁₀C₆ = C₁₈×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	144		(C6xDic3).10C6	432,341
(C₆×Dic₃).₁₁C₆ = C₉×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	72	4	(C6xDic3).11C6	432,359
(C₆×Dic₃).₁₂C₆ = C₁₈×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	72		(C6xDic3).12C6	432,375
(C₆×Dic₃).₁₃C₆ = C₃²×Dic₃⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	144		(C6xDic3).13C6	432,472
(C₆×Dic₃).₁₄C₆ = C₃×C₆×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₆×Dic₃	144		(C6xDic3).14C6	432,700
(C₆×Dic₃).₁₅C₆ = Dic₃×C₃₆	φ: trivial image	144		(C6xDic3).15C6	432,131
(C₆×Dic₃).₁₆C₆ = S₃×C₂×C₃₆	φ: trivial image	144		(C6xDic3).16C6	432,345
(C₆×Dic₃).₁₇C₆ = Dic₃×C₂×C₁₈	φ: trivial image	144		(C6xDic3).17C6	432,373
(C₆×Dic₃).₁₈C₆ = Dic₃×C₃×C₁₂	φ: trivial image	144		(C6xDic3).18C6	432,471

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