Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₃⋊S₃

Direct product G=N×Q with N=C₄○D₄ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₄○D₄×C₃⋊S₃		72		C4oD4xC3:S3	288,1013

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁(C₃⋊S₃) = C₁₂.₁₄S₄	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out C₄○D₄	48	4	C4oD4:1(C3:S3)	288,914
C₄○D₄⋊₂(C₃⋊S₃) = C₁₂.₇S₄	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out C₄○D₄	48	4+	C4oD4:2(C3:S3)	288,915
C₄○D₄⋊₃(C₃⋊S₃) = C₆².₇₃D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₄○D₄	72		C4oD4:3(C3:S3)	288,806
C₄○D₄⋊₄(C₃⋊S₃) = C₆².₇₄D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₄○D₄	144		C4oD4:4(C3:S3)	288,807
C₄○D₄⋊₅(C₃⋊S₃) = C₆².₁₅₄C₂³	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₄○D₄	72		C4oD4:5(C3:S3)	288,1014
C₄○D₄⋊₆(C₃⋊S₃) = C₃²⋊₉2_-¹⁺⁴	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₄○D₄	144		C4oD4:6(C3:S3)	288,1015

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁(C₃⋊S₃) = C₃⋊U₂(𝔽₃)	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out C₄○D₄	72	4	C4oD4.1(C3:S3)	288,404
C₄○D₄.₂(C₃⋊S₃) = C₁₂.₆S₄	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out C₄○D₄	96	4-	C4oD4.2(C3:S3)	288,913
C₄○D₄.₃(C₃⋊S₃) = C₆².₃₉D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₄○D₄	72		C4oD4.3(C3:S3)	288,312
C₄○D₄.₄(C₃⋊S₃) = C₆².₇₅D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₄○D₄	144		C4oD4.4(C3:S3)	288,808
C₄○D₄.₅(C₃⋊S₃) = D₄.(C₃⋊Dic₃)	φ: trivial image	144		C4oD4.5(C3:S3)	288,805

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