Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=Dic₃

Direct product G=NxQ with N=C₂xC₆ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₂xC₆		48		Dic3xC2xC6	144,166

Semidirect products G=N:Q with N=C₂xC₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁Dic₃ = C₃xA₄:C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂xC₆	36	3	(C2xC6):1Dic3	144,123
(C₂xC₆):₂Dic₃ = C₆.₇S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂xC₆	36	6-	(C2xC6):2Dic3	144,126
(C₂xC₆):₃Dic₃ = C₃xC₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6):3Dic3	144,84
(C₂xC₆):₄Dic₃ = C₆²:₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6):4Dic3	144,100
(C₂xC₆):₅Dic₃ = C₂²xC₃:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6):5Dic3	144,176

Non-split extensions G=N.Q with N=C₂xC₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).Dic₃ = C₆.S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂xC₆	36	6-	(C2xC6).Dic3	144,33
(C₂xC₆).₂Dic₃ = C₃xC₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	24	2	(C2xC6).2Dic3	144,75
(C₂xC₆).₃Dic₃ = C₂xC₉:C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).3Dic3	144,9
(C₂xC₆).₄Dic₃ = C₄.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	72	2	(C2xC6).4Dic3	144,10
(C₂xC₆).₅Dic₃ = C₁₈.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).5Dic3	144,19
(C₂xC₆).₆Dic₃ = C₂²xDic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).6Dic3	144,45
(C₂xC₆).₇Dic₃ = C₂xC₃²:₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).7Dic3	144,90
(C₂xC₆).₈Dic₃ = C₁₂.₅₈D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).8Dic3	144,91
(C₂xC₆).₉Dic₃ = C₆xC₃:C₈	central extension (φ=1)	48		(C2xC6).9Dic3	144,74

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