Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²×C₄²

Direct product G=N×Q with N=C₂ and Q=C₂²×C₄²

		d	ρ	Label	ID
C₂³×C₄²		128		C2^3xC4^2	128,2150

Non-split extensions G=N.Q with N=C₂ and Q=C₂²×C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²×C₄²) = C₂²×C₂.C₄²	central stem extension (φ=1)	128		C2.1(C2^2xC4^2)	128,998
C₂.₂(C₂²×C₄²) = C₂×C₄²⋊₄C₄	central stem extension (φ=1)	128		C2.2(C2^2xC4^2)	128,999
C₂.₃(C₂²×C₄²) = C₂×C₄×C₂²⋊C₄	central stem extension (φ=1)	64		C2.3(C2^2xC4^2)	128,1000
C₂.₄(C₂²×C₄²) = C₂×C₄×C₄⋊C₄	central stem extension (φ=1)	128		C2.4(C2^2xC4^2)	128,1001
C₂.₅(C₂²×C₄²) = C₄×C₄²⋊C₂	central stem extension (φ=1)	64		C2.5(C2^2xC4^2)	128,1002
C₂.₆(C₂²×C₄²) = D₄×C₄²	central stem extension (φ=1)	64		C2.6(C2^2xC4^2)	128,1003
C₂.₇(C₂²×C₄²) = Q₈×C₄²	central stem extension (φ=1)	128		C2.7(C2^2xC4^2)	128,1004
C₂.₈(C₂²×C₄²) = C₂³⋊C₄²	central stem extension (φ=1)	32		C2.8(C2^2xC4^2)	128,1005
C₂.₉(C₂²×C₄²) = C₂⁴.₅₂₄C₂³	central stem extension (φ=1)	64		C2.9(C2^2xC4^2)	128,1006
C₂.₁₀(C₂²×C₄²) = D₄⋊₄C₄²	central stem extension (φ=1)	64		C2.10(C2^2xC4^2)	128,1007
C₂.₁₁(C₂²×C₄²) = Q₈⋊₄C₄²	central stem extension (φ=1)	128		C2.11(C2^2xC4^2)	128,1008
C₂.₁₂(C₂²×C₄²) = C₂²×C₈⋊C₄	central stem extension (φ=1)	128		C2.12(C2^2xC4^2)	128,1602
C₂.₁₃(C₂²×C₄²) = C₂×C₄×M₄(2)	central stem extension (φ=1)	64		C2.13(C2^2xC4^2)	128,1603
C₂.₁₄(C₂²×C₄²) = C₂×C₈○₂M₄(2)	central stem extension (φ=1)	64		C2.14(C2^2xC4^2)	128,1604
C₂.₁₅(C₂²×C₄²) = M₄(2)○₂M₄(2)	central stem extension (φ=1)	32		C2.15(C2^2xC4^2)	128,1605
C₂.₁₆(C₂²×C₄²) = C₄×C₈○D₄	central stem extension (φ=1)	64		C2.16(C2^2xC4^2)	128,1606
C₂.₁₇(C₂²×C₄²) = D₄.₅C₄²	central stem extension (φ=1)	64		C2.17(C2^2xC4^2)	128,1607

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