Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃²×C₄⋊C₄

Direct product G=N×Q with N=C₂ and Q=C₃²×C₄⋊C₄

		d	ρ	Label	ID
C₄⋊C₄×C₃×C₆		288		C4:C4xC3xC6	288,813

Non-split extensions G=N.Q with N=C₂ and Q=C₃²×C₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃²×C₄⋊C₄) = C₃²×C₂.C₄²	central extension (φ=1)	288		C2.1(C3^2xC4:C4)	288,313
C₂.₂(C₃²×C₄⋊C₄) = C₃²×C₄⋊C₈	central extension (φ=1)	288		C2.2(C3^2xC4:C4)	288,323
C₂.₃(C₃²×C₄⋊C₄) = C₃²×C₄.Q₈	central stem extension (φ=1)	288		C2.3(C3^2xC4:C4)	288,324
C₂.₄(C₃²×C₄⋊C₄) = C₃²×C₂.D₈	central stem extension (φ=1)	288		C2.4(C3^2xC4:C4)	288,325
C₂.₅(C₃²×C₄⋊C₄) = C₃²×C₈.C₄	central stem extension (φ=1)	144		C2.5(C3^2xC4:C4)	288,326

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