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

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

		d	ρ	Label	ID
C₂×C₄.C₄²		64		C2xC4.C4^2	128,469

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄.C₄²) = C₄².₃₈₅D₄	central extension (φ=1)	128		C2.1(C4.C4^2)	128,9
C₂.₂(C₄.C₄²) = M₄(2)⋊C₈	central extension (φ=1)	64		C2.2(C4.C4^2)	128,10
C₂.₃(C₄.C₄²) = C₄².₂₃D₄	central stem extension (φ=1)	64		C2.3(C4.C4^2)	128,19
C₂.₄(C₄.C₄²) = C₄².₂₅D₄	central stem extension (φ=1)	64		C2.4(C4.C4^2)	128,22
C₂.₅(C₄.C₄²) = C₂⁴.₂Q₈	central stem extension (φ=1)	32		C2.5(C4.C4^2)	128,25
C₂.₆(C₄.C₄²) = C₂⁴.₃Q₈	central stem extension (φ=1)	32		C2.6(C4.C4^2)	128,30
C₂.₇(C₄.C₄²) = C₄².₃₈₈D₄	central stem extension (φ=1)	64		C2.7(C4.C4^2)	128,31
C₂.₈(C₄.C₄²) = C₄².₃₈₉D₄	central stem extension (φ=1)	64		C2.8(C4.C4^2)	128,33
C₂.₉(C₄.C₄²) = C₄².₃₇₀D₄	central stem extension (φ=1)	64		C2.9(C4.C4^2)	128,34

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