Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄².₃C₄

Direct product G=N×Q with N=C₂ and Q=C₄².₃C₄

		d	ρ	Label	ID
C₂×C₄².₃C₄		32		C2xC4^2.3C4	128,863

Non-split extensions G=N.Q with N=C₂ and Q=C₄².₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄².₃C₄) = (C₂×C₄²).C₄	central extension (φ=1)	32		C2.1(C4^2.3C4)	128,51
C₂.₂(C₄².₃C₄) = C₄²⋊₃C₈	central extension (φ=1)	32		C2.2(C4^2.3C4)	128,57
C₂.₃(C₄².₃C₄) = (C₂×Q₈).Q₈	central extension (φ=1)	32		C2.3(C4^2.3C4)	128,126
C₂.₄(C₄².₃C₄) = (C₂×C₄).D₈	central stem extension (φ=1)	32		C2.4(C4^2.3C4)	128,78
C₂.₅(C₄².₃C₄) = C₂.₇C₂≀C₄	central stem extension (φ=1)	32		C2.5(C4^2.3C4)	128,86

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