Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₄²

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

		d	ρ	Label	ID
C₂²×C₄²		64		C2^2xC4^2	64,192

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₄²) = C₂×C₂.C₄²	central stem extension (φ=1)	64		C2.1(C2xC4^2)	64,56
C₂.₂(C₂×C₄²) = C₄²⋊₄C₄	central stem extension (φ=1)	64		C2.2(C2xC4^2)	64,57
C₂.₃(C₂×C₄²) = C₄×C₂²⋊C₄	central stem extension (φ=1)	32		C2.3(C2xC4^2)	64,58
C₂.₄(C₂×C₄²) = C₄×C₄⋊C₄	central stem extension (φ=1)	64		C2.4(C2xC4^2)	64,59
C₂.₅(C₂×C₄²) = C₂×C₈⋊C₄	central stem extension (φ=1)	64		C2.5(C2xC4^2)	64,84
C₂.₆(C₂×C₄²) = C₄×M₄(2)	central stem extension (φ=1)	32		C2.6(C2xC4^2)	64,85
C₂.₇(C₂×C₄²) = C₈○₂M₄(2)	central stem extension (φ=1)	32		C2.7(C2xC4^2)	64,86

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