Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₂₀D₄

Direct product G=N×Q with N=C₂ and Q=C₂³.₂₀D₄

		d	ρ	Label	ID
C₂×C₂³.₂₀D₄		64		C2xC2^3.20D4	128,1820

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₂₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.₂₀D₄) = C₂⁴.₆₉D₄	central extension (φ=1)	64		C2.1(C2^3.20D4)	128,557
C₂.₂(C₂³.₂₀D₄) = C₂⁴.₇₁D₄	central extension (φ=1)	64		C2.2(C2^3.20D4)	128,586
C₂.₃(C₂³.₂₀D₄) = C₂⁴.₇₃D₄	central extension (φ=1)	64		C2.3(C2^3.20D4)	128,605
C₂.₄(C₂³.₂₀D₄) = C₂.D₈⋊₄C₄	central extension (φ=1)	128		C2.4(C2^3.20D4)	128,650
C₂.₅(C₂³.₂₀D₄) = C₄.Q₈⋊₉C₄	central extension (φ=1)	128		C2.5(C2^3.20D4)	128,651
C₂.₆(C₂³.₂₀D₄) = C₄.₆₈(C₄×D₄)	central extension (φ=1)	128		C2.6(C2^3.20D4)	128,659
C₂.₇(C₂³.₂₀D₄) = C₂.(C₄×Q₁₆)	central extension (φ=1)	128		C2.7(C2^3.20D4)	128,660
C₂.₈(C₂³.₂₀D₄) = C₂⁴.₈₅D₄	central stem extension (φ=1)	64		C2.8(C2^3.20D4)	128,767
C₂.₉(C₂³.₂₀D₄) = C₂⁴.₈₆D₄	central stem extension (φ=1)	64		C2.9(C2^3.20D4)	128,768
C₂.₁₀(C₂³.₂₀D₄) = (C₂×Q₈).₁₀₉D₄	central stem extension (φ=1)	128		C2.10(C2^3.20D4)	128,806
C₂.₁₁(C₂³.₂₀D₄) = C₂³.₁₂D₈	central stem extension (φ=1)	64		C2.11(C2^3.20D4)	128,807
C₂.₁₂(C₂³.₂₀D₄) = C₂⁴.₈₉D₄	central stem extension (φ=1)	64		C2.12(C2^3.20D4)	128,809
C₂.₁₃(C₂³.₂₀D₄) = (C₂×C₈).₂₄Q₈	central stem extension (φ=1)	128		C2.13(C2^3.20D4)	128,817
C₂.₁₄(C₂³.₂₀D₄) = (C₂×C₈).₁₇₁D₄	central stem extension (φ=1)	128		C2.14(C2^3.20D4)	128,829
C₂.₁₅(C₂³.₂₀D₄) = C₄⋊C₄.Q₈	central stem extension (φ=1)	128		C2.15(C2^3.20D4)	128,833

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