Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₃xD₄

Direct product G=NxQ with N=Dic₃ and Q=C₃xD₄

		d	ρ	Label	ID
C₃xD₄xDic₃		48		C3xD4xDic3	288,705

Semidirect products G=N:Q with N=Dic₃ and Q=C₃xD₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:₁(C₃xD₄) = C₃xC₁₂:₃D₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Out Dic₃	48		Dic3:1(C3xD4)	288,711
Dic₃:₂(C₃xD₄) = C₃xDic₃:D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Out Dic₃	48		Dic3:2(C3xD4)	288,655
Dic₃:₃(C₃xD₄) = C₃xC₂³.₁₄D₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Out Dic₃	48		Dic3:3(C3xD4)	288,710
Dic₃:₄(C₃xD₄) = C₃xDic₃:₄D₄	φ: trivial image	48		Dic3:4(C3xD4)	288,652
Dic₃:₅(C₃xD₄) = C₃xDic₃:₅D₄	φ: trivial image	96		Dic3:5(C3xD4)	288,664

Non-split extensions G=N.Q with N=Dic₃ and Q=C₃xD₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₃xD₄) = C₃xC₂³.₁₁D₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Out Dic₃	48		Dic3.1(C3xD4)	288,656
Dic₃.₂(C₃xD₄) = C₃xC₁₂:Q₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Out Dic₃	96		Dic3.2(C3xD4)	288,659
Dic₃.₃(C₃xD₄) = C₃xS₃xD₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Out Dic₃	48	4	Dic3.3(C3xD4)	288,681
Dic₃.₄(C₃xD₄) = C₃xS₃xSD₁₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Out Dic₃	48	4	Dic3.4(C3xD4)	288,684
Dic₃.₅(C₃xD₄) = C₃xS₃xQ₁₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Out Dic₃	96	4	Dic3.5(C3xD4)	288,688
Dic₃.₆(C₃xD₄) = C₃xDic₃.D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Out Dic₃	48		Dic3.6(C3xD4)	288,649
Dic₃.₇(C₃xD₄) = C₃xD₆:Q₈	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Out Dic₃	96		Dic3.7(C3xD4)	288,667
Dic₃.₈(C₃xD₄) = C₃xD₈:S₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.8(C3xD4)	288,682
Dic₃.₉(C₃xD₄) = C₃xQ₈:₃D₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.9(C3xD4)	288,685
Dic₃.₁₀(C₃xD₄) = C₃xD₄.D₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.10(C3xD4)	288,686
Dic₃.₁₁(C₃xD₄) = C₃xQ₁₆:S₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Out Dic₃	96	4	Dic3.11(C3xD4)	288,689
Dic₃.₁₂(C₃xD₄) = C₃xD₈:₃S₃	φ: trivial image	48	4	Dic3.12(C3xD4)	288,683
Dic₃.₁₃(C₃xD₄) = C₃xQ₈.₇D₆	φ: trivial image	48	4	Dic3.13(C3xD4)	288,687
Dic₃.₁₄(C₃xD₄) = C₃xD₂₄:C₂	φ: trivial image	96	4	Dic3.14(C3xD4)	288,690

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