Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₈₁C₂³

Direct product G=N×Q with N=C₂ and Q=C₂³.₈₁C₂³

		d	ρ	Label	ID
C₂×C₂³.₈₁C₂³		128		C2xC2^3.81C2^3	128,1123

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₈₁C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.₈₁C₂³) = C₂⁴.₆₃₁C₂³	central extension (φ=1)	128		C2.1(C2^3.81C2^3)	128,173
C₂.₂(C₂³.₈₁C₂³) = C₂⁴.₆₃₂C₂³	central extension (φ=1)	128		C2.2(C2^3.81C2^3)	128,174
C₂.₃(C₂³.₈₁C₂³) = C₂⁴.₆₃₄C₂³	central extension (φ=1)	128		C2.3(C2^3.81C2^3)	128,176
C₂.₄(C₂³.₈₁C₂³) = C₂⁴.₆₃₅C₂³	central extension (φ=1)	128		C2.4(C2^3.81C2^3)	128,177
C₂.₅(C₂³.₈₁C₂³) = (C₂×C₈).₁Q₈	central stem extension (φ=1)	128		C2.5(C2^3.81C2^3)	128,815
C₂.₆(C₂³.₈₁C₂³) = C₂.(C₈⋊₃Q₈)	central stem extension (φ=1)	128		C2.6(C2^3.81C2^3)	128,816
C₂.₇(C₂³.₈₁C₂³) = (C₂×C₈).₂₄Q₈	central stem extension (φ=1)	128		C2.7(C2^3.81C2^3)	128,817
C₂.₈(C₂³.₈₁C₂³) = (C₂×C₄).₂₆D₈	central stem extension (φ=1)	128		C2.8(C2^3.81C2^3)	128,818
C₂.₉(C₂³.₈₁C₂³) = (C₂×C₄).₂₁Q₁₆	central stem extension (φ=1)	128		C2.9(C2^3.81C2^3)	128,819
C₂.₁₀(C₂³.₈₁C₂³) = C₄.(C₄⋊Q₈)	central stem extension (φ=1)	128		C2.10(C2^3.81C2^3)	128,820
C₂.₁₁(C₂³.₈₁C₂³) = M₄(2).Q₈	central stem extension (φ=1)	64		C2.11(C2^3.81C2^3)	128,821
C₂.₁₂(C₂³.₈₁C₂³) = M₄(2).₂Q₈	central stem extension (φ=1)	64		C2.12(C2^3.81C2^3)	128,822

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