Extensions 1→N→G→Q→1 with N=C₂²xC₆ and Q=Dic₃

Direct product G=NxQ with N=C₂²xC₆ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₂²xC₆		96		Dic3xC2^2xC6	288,1001

Semidirect products G=N:Q with N=C₂²xC₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₆):₁Dic₃ = C₆xA₄:C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₆	72		(C2^2xC6):1Dic3	288,905
(C₂²xC₆):₂Dic₃ = C₂xC₆.₇S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₆	72		(C2^2xC6):2Dic3	288,916
(C₂²xC₆):₃Dic₃ = C₃xC₂³.₇D₆	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₆	24	4	(C2^2xC6):3Dic3	288,268
(C₂²xC₆):₄Dic₃ = C₆².₃₈D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₆	72		(C2^2xC6):4Dic3	288,309
(C₂²xC₆):₅Dic₃ = C₆xC₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	48		(C2^2xC6):5Dic3	288,723
(C₂²xC₆):₆Dic₃ = C₂xC₆²:₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	144		(C2^2xC6):6Dic3	288,809
(C₂²xC₆):₇Dic₃ = C₂³xC₃:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	288		(C2^2xC6):7Dic3	288,1016

Non-split extensions G=N.Q with N=C₂²xC₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₆).₁Dic₃ = C₃xA₄:C₈	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₆	72	3	(C2^2xC6).1Dic3	288,398
(C₂²xC₆).₂Dic₃ = C₁₂.S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₆	72	6	(C2^2xC6).2Dic3	288,68
(C₂²xC₆).₃Dic₃ = C₂xC₆.S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₆	72		(C2^2xC6).3Dic3	288,341
(C₂²xC₆).₄Dic₃ = C₁₂.₁₂S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂²xC₆	72	6	(C2^2xC6).4Dic3	288,402
(C₂²xC₆).₅Dic₃ = C₃xC₁₂.D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₆	24	4	(C2^2xC6).5Dic3	288,267
(C₂²xC₆).₆Dic₃ = C₃₆.D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₆	72	4	(C2^2xC6).6Dic3	288,39
(C₂²xC₆).₇Dic₃ = C₂³:₂Dic₉	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₆	72	4	(C2^2xC6).7Dic3	288,41
(C₂²xC₆).₈Dic₃ = (C₆xD₄).S₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂²xC₆	72		(C2^2xC6).8Dic3	288,308
(C₂²xC₆).₉Dic₃ = C₃xC₁₂.₅₅D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	48		(C2^2xC6).9Dic3	288,264
(C₂²xC₆).₁₀Dic₃ = C₆xC₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	48		(C2^2xC6).10Dic3	288,692
(C₂²xC₆).₁₁Dic₃ = C₃₆.₅₅D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	144		(C2^2xC6).11Dic3	288,37
(C₂²xC₆).₁₂Dic₃ = C₂²xC₉:C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	288		(C2^2xC6).12Dic3	288,130
(C₂²xC₆).₁₃Dic₃ = C₂xC₄.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	144		(C2^2xC6).13Dic3	288,131
(C₂²xC₆).₁₄Dic₃ = C₂xC₁₈.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	144		(C2^2xC6).14Dic3	288,162
(C₂²xC₆).₁₅Dic₃ = C₆²:₇C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	144		(C2^2xC6).15Dic3	288,305
(C₂²xC₆).₁₆Dic₃ = C₂³xDic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	288		(C2^2xC6).16Dic3	288,365
(C₂²xC₆).₁₇Dic₃ = C₂²xC₃²:₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	288		(C2^2xC6).17Dic3	288,777
(C₂²xC₆).₁₈Dic₃ = C₂xC₁₂.₅₈D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂²xC₆	144		(C2^2xC6).18Dic3	288,778
(C₂²xC₆).₁₉Dic₃ = C₂xC₆xC₃:C₈	central extension (φ=1)	96		(C2^2xC6).19Dic3	288,691

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