Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃×S₃²

Direct product G=N×Q with N=C₂ and Q=C₃×S₃²

		d	ρ	Label	ID
S₃²×C₆		24	4	S3^2xC6	216,170

Non-split extensions G=N.Q with N=C₂ and Q=C₃×S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃×S₃²) = C₃×S₃×Dic₃	central extension (φ=1)	24	4	C2.1(C3xS3^2)	216,119
C₂.₂(C₃×S₃²) = C₃×C₆.D₆	central extension (φ=1)	24	4	C2.2(C3xS3^2)	216,120
C₂.₃(C₃×S₃²) = C₃×D₆⋊S₃	central stem extension (φ=1)	24	4	C2.3(C3xS3^2)	216,121
C₂.₄(C₃×S₃²) = C₃×C₃⋊D₁₂	central stem extension (φ=1)	24	4	C2.4(C3xS3^2)	216,122
C₂.₅(C₃×S₃²) = C₃×C₃²⋊₂Q₈	central stem extension (φ=1)	24	4	C2.5(C3xS3^2)	216,123

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