Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₃²⋊₄Q₈

Direct product G=N×Q with N=C₂ and Q=C₂×C₃²⋊₄Q₈

		d	ρ	Label	ID
C₂²×C₃²⋊₄Q₈		288		C2^2xC3^2:4Q8	288,1003

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₃²⋊₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₃²⋊₄Q₈) = C₄×C₃²⋊₄Q₈	central extension (φ=1)	288		C2.1(C2xC3^2:4Q8)	288,725
C₂.₂(C₂×C₃²⋊₄Q₈) = C₂×C₆.Dic₆	central extension (φ=1)	288		C2.2(C2xC3^2:4Q8)	288,780
C₂.₃(C₂×C₃²⋊₄Q₈) = C₂×C₁₂⋊Dic₃	central extension (φ=1)	288		C2.3(C2xC3^2:4Q8)	288,782
C₂.₄(C₂×C₃²⋊₄Q₈) = C₁₂⋊₆Dic₆	central stem extension (φ=1)	288		C2.4(C2xC3^2:4Q8)	288,726
C₂.₅(C₂×C₃²⋊₄Q₈) = C₁₂.₂₅Dic₆	central stem extension (φ=1)	288		C2.5(C2xC3^2:4Q8)	288,727
C₂.₆(C₂×C₃²⋊₄Q₈) = C₆²⋊₆Q₈	central stem extension (φ=1)	144		C2.6(C2xC3^2:4Q8)	288,735
C₂.₇(C₂×C₃²⋊₄Q₈) = C₁₂⋊₂Dic₆	central stem extension (φ=1)	288		C2.7(C2xC3^2:4Q8)	288,745
C₂.₈(C₂×C₃²⋊₄Q₈) = C₆².₂₃₄C₂³	central stem extension (φ=1)	288		C2.8(C2xC3^2:4Q8)	288,747
C₂.₉(C₂×C₃²⋊₄Q₈) = C₆²⋊₁₀Q₈	central stem extension (φ=1)	144		C2.9(C2xC3^2:4Q8)	288,781

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