Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×SD₃₂

Direct product G=N×Q with N=C₂ and Q=C₂×SD₃₂

		d	ρ	Label	ID
C₂²×SD₃₂		64		C2^2xSD32	128,2141

Non-split extensions G=N.Q with N=C₂ and Q=C₂×SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×SD₃₂) = C₂×C₂.D₁₆	central extension (φ=1)	64		C2.1(C2xSD32)	128,868
C₂.₂(C₂×SD₃₂) = C₂×C₂.Q₃₂	central extension (φ=1)	128		C2.2(C2xSD32)	128,869
C₂.₃(C₂×SD₃₂) = C₂×C₁₆⋊₄C₄	central extension (φ=1)	128		C2.3(C2xSD32)	128,889
C₂.₄(C₂×SD₃₂) = C₄×SD₃₂	central extension (φ=1)	64		C2.4(C2xSD32)	128,905
C₂.₅(C₂×SD₃₂) = Q₁₆⋊₇D₄	central stem extension (φ=1)	64		C2.5(C2xSD32)	128,917
C₂.₆(C₂×SD₃₂) = D₈.₉D₄	central stem extension (φ=1)	32		C2.6(C2xSD32)	128,919
C₂.₇(C₂×SD₃₂) = Q₁₆⋊₂D₄	central stem extension (φ=1)	64		C2.7(C2xSD32)	128,939
C₂.₈(C₂×SD₃₂) = D₈.₄D₄	central stem extension (φ=1)	64		C2.8(C2xSD32)	128,940
C₂.₉(C₂×SD₃₂) = C₁₆⋊₈D₄	central stem extension (φ=1)	64		C2.9(C2xSD32)	128,949
C₂.₁₀(C₂×SD₃₂) = Q₁₆⋊Q₈	central stem extension (φ=1)	128		C2.10(C2xSD32)	128,957
C₂.₁₁(C₂×SD₃₂) = D₈⋊Q₈	central stem extension (φ=1)	64		C2.11(C2xSD32)	128,958
C₂.₁₂(C₂×SD₃₂) = C₂³.₄₉D₈	central stem extension (φ=1)	64		C2.12(C2xSD32)	128,965
C₂.₁₃(C₂×SD₃₂) = C₂³.₅₀D₈	central stem extension (φ=1)	64		C2.13(C2xSD32)	128,967
C₂.₁₄(C₂×SD₃₂) = C₄.₄D₁₆	central stem extension (φ=1)	64		C2.14(C2xSD32)	128,972
C₂.₁₅(C₂×SD₃₂) = C₄.SD₃₂	central stem extension (φ=1)	128		C2.15(C2xSD32)	128,973
C₂.₁₆(C₂×SD₃₂) = C₁₆⋊₅D₄	central stem extension (φ=1)	64		C2.16(C2xSD32)	128,980
C₂.₁₇(C₂×SD₃₂) = C₁₆⋊₃Q₈	central stem extension (φ=1)	128		C2.17(C2xSD32)	128,986

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁