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	128,857

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⋊C₈	central extension (φ=1)	32		C2.2(C4^2:3C4)	128,56
C₂.₃(C₄²⋊₃C₄) = C₂⁴.₆D₄	central extension (φ=1)	32		C2.3(C4^2:3C4)	128,125
C₂.₄(C₄²⋊₃C₄) = C₂³.₄D₈	central stem extension (φ=1)	32		C2.4(C4^2:3C4)	128,76
C₂.₅(C₄²⋊₃C₄) = C₂³.Q₁₆	central stem extension (φ=1)	32		C2.5(C4^2:3C4)	128,83
C₂.₆(C₄²⋊₃C₄) = C₈⋊C₄⋊₅C₄	central stem extension (φ=1)	16	8+	C2.6(C4^2:3C4)	128,144
C₂.₇(C₄²⋊₃C₄) = C₈⋊C₄.C₄	central stem extension (φ=1)	32	8-	C2.7(C4^2:3C4)	128,145
C₂.₈(C₄²⋊₃C₄) = (C₄×C₈)⋊C₄	central stem extension (φ=1)	32	4	C2.8(C4^2:3C4)	128,146

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