Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=Dic₃

Direct product G=N×Q with N=C₄○D₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₄○D₄		96		Dic3xC4oD4	192,1385

Semidirect products G=N:Q with N=C₄○D₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁Dic₃ = C₄.A₄⋊C₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₄○D₄	64		C4oD4:1Dic3	192,983
C₄○D₄⋊₂Dic₃ = (C₂×C₄).S₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₄○D₄	64		C4oD4:2Dic3	192,985
C₄○D₄⋊₃Dic₃ = C₄○D₄⋊₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄○D₄	96		C4oD4:3Dic3	192,791
C₄○D₄⋊₄Dic₃ = C₄○D₄⋊₄Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄○D₄	96		C4oD4:4Dic3	192,792
C₄○D₄⋊₅Dic₃ = C₂×Q₈⋊₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₄○D₄	48		C4oD4:5Dic3	192,794
C₄○D₄⋊₆Dic₃ = (C₆×D₄)⋊₉C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₄○D₄	48	4	C4oD4:6Dic3	192,795
C₄○D₄⋊₇Dic₃ = C₆.₁₄₄2₊¹⁺⁴	φ: Dic₃/C₆ → C₂ ⊆ Out C₄○D₄	96		C4oD4:7Dic3	192,1386

Non-split extensions G=N.Q with N=C₄○D₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁Dic₃ = C₈.₇S₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₄○D₄	64	2	C4oD4.1Dic3	192,187
C₄○D₄.₂Dic₃ = C₂×U₂(𝔽₃)	φ: Dic₃/C₂ → S₃ ⊆ Out C₄○D₄	48		C4oD4.2Dic3	192,981
C₄○D₄.₃Dic₃ = U₂(𝔽₃)⋊C₂	φ: Dic₃/C₂ → S₃ ⊆ Out C₄○D₄	32	4	C4oD4.3Dic3	192,982
C₄○D₄.₄Dic₃ = C₂₄.₉₉D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₄○D₄	96	4	C4oD4.4Dic3	192,120
C₄○D₄.₅Dic₃ = C₁₂.₇₆C₂⁴	φ: Dic₃/C₆ → C₂ ⊆ Out C₄○D₄	48	4	C4oD4.5Dic3	192,1378
C₄○D₄.₆Dic₃ = C₂₄.₇₈C₂³	φ: trivial image	96	4	C4oD4.6Dic3	192,699
C₄○D₄.₇Dic₃ = C₂×D₄.Dic₃	φ: trivial image	96		C4oD4.7Dic3	192,1377

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