Extensions 1→N→G→Q→1 with N=C₂ and Q=S₃×S₄

Direct product G=N×Q with N=C₂ and Q=S₃×S₄

		d	ρ	Label	ID
C₂×S₃×S₄		18	6+	C2xS3xS4	288,1028

Non-split extensions G=N.Q with N=C₂ and Q=S₃×S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(S₃×S₄) = Dic₃×S₄	central extension (φ=1)	36	6-	C2.1(S3xS4)	288,853
C₂.₂(S₃×S₄) = Dic₃⋊₂S₄	central extension (φ=1)	36	6	C2.2(S3xS4)	288,854
C₂.₃(S₃×S₄) = S₃×A₄⋊C₄	central extension (φ=1)	36	6	C2.3(S3xS4)	288,856
C₂.₄(S₃×S₄) = CSU₂(𝔽₃)⋊S₃	central stem extension (φ=1)	96	4	C2.4(S3xS4)	288,844
C₂.₅(S₃×S₄) = Dic₃.₄S₄	central stem extension (φ=1)	48	4	C2.5(S3xS4)	288,845
C₂.₆(S₃×S₄) = Dic₃.₅S₄	central stem extension (φ=1)	48	4+	C2.6(S3xS4)	288,846
C₂.₇(S₃×S₄) = GL₂(𝔽₃)⋊S₃	central stem extension (φ=1)	48	4+	C2.7(S3xS4)	288,847
C₂.₈(S₃×S₄) = S₃×CSU₂(𝔽₃)	central stem extension (φ=1)	48	4-	C2.8(S3xS4)	288,848
C₂.₉(S₃×S₄) = D₆.S₄	central stem extension (φ=1)	48	4-	C2.9(S3xS4)	288,849
C₂.₁₀(S₃×S₄) = D₆.₂S₄	central stem extension (φ=1)	48	4	C2.10(S3xS4)	288,850
C₂.₁₁(S₃×S₄) = S₃×GL₂(𝔽₃)	central stem extension (φ=1)	24	4	C2.11(S3xS4)	288,851
C₂.₁₂(S₃×S₄) = Dic₃.S₄	central stem extension (φ=1)	72	6-	C2.12(S3xS4)	288,852
C₂.₁₃(S₃×S₄) = Dic₃⋊S₄	central stem extension (φ=1)	36	6	C2.13(S3xS4)	288,855
C₂.₁₄(S₃×S₄) = D₆⋊S₄	central stem extension (φ=1)	36	6	C2.14(S3xS4)	288,857
C₂.₁₅(S₃×S₄) = A₄⋊D₁₂	central stem extension (φ=1)	36	6+	C2.15(S3xS4)	288,858

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