Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=Dic₃

Direct product G=NxQ with N=C₄oD₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₄oD₄		96		Dic3xC4oD4	192,1385

Semidirect products G=N:Q with N=C₄oD₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄:₁Dic₃ = C₄.A₄:C₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₄oD₄	64		C4oD4:1Dic3	192,983
C₄oD₄:₂Dic₃ = (C₂xC₄).S₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₄oD₄	64		C4oD4:2Dic3	192,985
C₄oD₄:₃Dic₃ = C₄oD₄:₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄oD₄	96		C4oD4:3Dic3	192,791
C₄oD₄:₄Dic₃ = C₄oD₄:₄Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄oD₄	96		C4oD4:4Dic3	192,792
C₄oD₄:₅Dic₃ = C₂xQ₈:₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄oD₄	48		C4oD4:5Dic3	192,794
C₄oD₄:₆Dic₃ = (C₆xD₄):₉C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₄oD₄	48	4	C4oD4:6Dic3	192,795
C₄oD₄:₇Dic₃ = C₆.₁₄₄2₊¹⁺⁴	φ: Dic₃/C₆ → C₂ ⊆ Out C₄oD₄	96		C4oD4:7Dic3	192,1386

Non-split extensions G=N.Q with N=C₄oD₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄.₁Dic₃ = C₈.₇S₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₄oD₄	64	2	C4oD4.1Dic3	192,187
C₄oD₄.₂Dic₃ = C₂xU₂(F₃)	φ: Dic₃/C₂ → S₃ ⊆ Out C₄oD₄	48		C4oD4.2Dic3	192,981
C₄oD₄.₃Dic₃ = U₂(F₃):C₂	φ: Dic₃/C₂ → S₃ ⊆ Out C₄oD₄	32	4	C4oD4.3Dic3	192,982
C₄oD₄.₄Dic₃ = C₂₄.₉₉D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₄oD₄	96	4	C4oD4.4Dic3	192,120
C₄oD₄.₅Dic₃ = C₁₂.₇₆C₂⁴	φ: Dic₃/C₆ → C₂ ⊆ Out C₄oD₄	48	4	C4oD4.5Dic3	192,1378
C₄oD₄.₆Dic₃ = C₂₄.₇₈C₂³	φ: trivial image	96	4	C4oD4.6Dic3	192,699
C₄oD₄.₇Dic₃ = C₂xD₄.Dic₃	φ: trivial image	96		C4oD4.7Dic3	192,1377

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