Extensions 1→N→G→Q→1 with N=C₂ and Q=Q₈×C₃⋊S₃

Direct product G=N×Q with N=C₂ and Q=Q₈×C₃⋊S₃

		d	ρ	Label	ID
C₂×Q₈×C₃⋊S₃		144		C2xQ8xC3:S3	288,1010

Non-split extensions G=N.Q with N=C₂ and Q=Q₈×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(Q₈×C₃⋊S₃) = C₆².₂₃₁C₂³	central extension (φ=1)	288		C2.1(Q8xC3:S3)	288,744
C₂.₂(Q₈×C₃⋊S₃) = C₄⋊C₄×C₃⋊S₃	central extension (φ=1)	144		C2.2(Q8xC3:S3)	288,748
C₂.₃(Q₈×C₃⋊S₃) = Q₈×C₃⋊Dic₃	central extension (φ=1)	288		C2.3(Q8xC3:S3)	288,802
C₂.₄(Q₈×C₃⋊S₃) = C₁₂⋊₂Dic₆	central stem extension (φ=1)	288		C2.4(Q8xC3:S3)	288,745
C₂.₅(Q₈×C₃⋊S₃) = C₆².₂₃₃C₂³	central stem extension (φ=1)	288		C2.5(Q8xC3:S3)	288,746
C₂.₆(Q₈×C₃⋊S₃) = C₆².₂₄₀C₂³	central stem extension (φ=1)	144		C2.6(Q8xC3:S3)	288,753
C₂.₇(Q₈×C₃⋊S₃) = C₁₂.₃₁D₁₂	central stem extension (φ=1)	144		C2.7(Q8xC3:S3)	288,754
C₂.₈(Q₈×C₃⋊S₃) = C₆².₂₅₉C₂³	central stem extension (φ=1)	288		C2.8(Q8xC3:S3)	288,801
C₂.₉(Q₈×C₃⋊S₃) = C₆².₂₆₁C₂³	central stem extension (φ=1)	144		C2.9(Q8xC3:S3)	288,803

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