Extensions 1→N→G→Q→1 with N=C₆xDic₃ and Q=C₄

Direct product G=NxQ with N=C₆xDic₃ and Q=C₄

		d	ρ	Label	ID
Dic₃xC₂xC₁₂		96		Dic3xC2xC12	288,693

Semidirect products G=N:Q with N=C₆xDic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xDic₃):₁C₄ = C₆².₃₁D₄	φ: C₄/C₁ → C₄ ⊆ Out C₆xDic₃	24	4	(C6xDic3):1C4	288,228
(C₆xDic₃):₂C₄ = C₃xC₂³.₆D₆	φ: C₄/C₁ → C₄ ⊆ Out C₆xDic₃	24	4	(C6xDic3):2C4	288,240
(C₆xDic₃):₃C₄ = C₆².₆Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3):3C4	288,227
(C₆xDic₃):₄C₄ = C₃xC₆.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3):4C4	288,265
(C₆xDic₃):₅C₄ = C₂xDic₃:Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3):5C4	288,613
(C₆xDic₃):₆C₄ = C₆².₉₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	48		(C6xDic3):6C4	288,603
(C₆xDic₃):₇C₄ = C₂xDic₃²	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3):7C4	288,602
(C₆xDic₃):₈C₄ = C₃xC₂³.₁₆D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	48		(C6xDic3):8C4	288,648
(C₆xDic₃):₉C₄ = C₆xDic₃:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3):9C4	288,694

Non-split extensions G=N.Q with N=C₆xDic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xDic₃).₁C₄ = C₁₂.₁₄D₁₂	φ: C₄/C₁ → C₄ ⊆ Out C₆xDic₃	48	4	(C6xDic3).1C4	288,208
(C₆xDic₃).₂C₄ = C₃xC₁₂.₄₇D₄	φ: C₄/C₁ → C₄ ⊆ Out C₆xDic₃	48	4	(C6xDic3).2C4	288,258
(C₆xDic₃).₃C₄ = C₃:C₈:Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).3C4	288,202
(C₆xDic₃).₄C₄ = C₁₂.₇₇D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).4C4	288,204
(C₆xDic₃).₅C₄ = C₁₂.₈₁D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).5C4	288,219
(C₆xDic₃).₆C₄ = C₃xC₂₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).6C4	288,249
(C₆xDic₃).₇C₄ = C₃xD₆:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).7C4	288,254
(C₆xDic₃).₈C₄ = C₂xD₆.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).8C4	288,467
(C₆xDic₃).₉C₄ = S₃xC₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	48	4	(C6xDic3).9C4	288,461
(C₆xDic₃).₁₀C₄ = Dic₃xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).10C4	288,200
(C₆xDic₃).₁₁C₄ = C₂xS₃xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).11C4	288,460
(C₆xDic₃).₁₂C₄ = C₃xDic₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).12C4	288,248
(C₆xDic₃).₁₃C₄ = C₆xC₈:S₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	96		(C6xDic3).13C4	288,671
(C₆xDic₃).₁₄C₄ = C₃xS₃xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₆xDic₃	48	4	(C6xDic3).14C4	288,677
(C₆xDic₃).₁₅C₄ = Dic₃xC₂₄	φ: trivial image	96		(C6xDic3).15C4	288,247
(C₆xDic₃).₁₆C₄ = S₃xC₂xC₂₄	φ: trivial image	96		(C6xDic3).16C4	288,670

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